Experiment Report: tlc-cc-start (discover)

Metadata

Algorithmdiscover
Datasettlc-cc-start
Expression\( V_{S} = \frac{6.14899396000324}{R_{F} - 0.347841552474757 r + 0.402756918769332} \)
Best reward0.723723
R²0.897878
NMSE0.1021
Iterations200
Early StoppedFalse
config.algorithmdiscover
config.n_iterations2000
config.seed0
config.library{'operators': ['add', 'sub', 'mul', 'div'], 'state_vars': ['R_F', 'r'], 'coord_vars': []}
config.min_length2
config.max_length15
config.batch_size1000
config.num_units16
config.num_layers1
config.embedding_dim4
config.observe_parentTrue
config.observe_siblingTrue
config.observe_actionFalse
config.observe_danglingFalse
config.use_embeddingFalse
config.attentionFalse
config.attn_length10
config.initializerxavier
config.epsilon0.05
config.baselineR_e
config.entropy_weight0.005
config.gamma0.5
config.reward_alpha0.005
config.learning_rate0.001
config.entropy_gamma1.0
config.max_diff_order4
config.use_repeat_priorTrue
config.repeat_tokens['add']
config.repeat_max5
config.use_trig_priorTrue
config.use_inverse_priorTrue
config.use_diff_descendant_priorTrue
config.use_diff_child_priorTrue
config.soft_length_locNone
config.soft_length_scale5.0
config.stability_selection0
config.stability_queue_capacity10
config.magnitude_filterFalse
config.diagnostic_scaffoldFalse
config.diagnostic_scaffold_diffusion_tokens[]
config.diagnostic_scaffold_reaction_tokens[]
config.diagnostic_scaffold_root_tokens['add', 'sub']
config.diagnostic_scaffold_neutral_tokens[]
config.token_bias_tokens[]
config.token_bias_weight0.0
config.pinnNone
config.provider_kindnone

Convergence

Convergence

Read the best native score reached at each search iteration.

Parity

Parity

Compare predicted and observed targets against the diagonal of exact agreement.

Equation

Equation

Read the published equation with its fitted coefficients and active terms.

Equation Tree

Equation Tree

Read the operators and derivatives that compose the published equation.

Pareto Front Table

Pareto Front Table

Compare candidate complexity, loss and fitted outer scale alongside each expression.

Residual

Residual

Read the distribution and spatial pattern of predicted minus observed target values.

Coefficient Bar

Coefficient Bar

Compare the magnitudes and signs of the active fitted coefficients.

Plugin Plots

Reward (Mean of Top ε)

Reward (Mean of Top ε)

Per-iteration mean reward of the top-ε risk-seeking subset the policy gradient trains on — kd's analogue of what the reference implementation calls 'Mean of Top ε' (r_avg_sub; kd selects the subset after invalid-row filtering, delta D-019, so the subsets can differ for larger batches), NOT the batch reward. Under the default batch=16, ε=0.05 the subset is a single sample, so this curve equals the per-iteration maximum, and with the default 'R_e' baseline it also coincides with the Reward Baseline plot by construction. The whole-batch signal is the 'Reward (Full-Batch Mean)' plot.

Reward (Full-Batch Mean)

Reward (Full-Batch Mean)

Per-iteration mean reward over the FULL sampled batch (invalid expressions carry the invalid-reward fill) — the reference implementation's r_avg_full. Unlike the top-ε curve this one moves with the whole policy, so the two panels together show elite vs population progress.

Entropy Loss

Entropy Loss

Entropy regularizer loss component (= -weight x mean policy entropy, typically negative). Direction-neutral title on purpose: the curve RISES toward zero as the policy's entropy collapses — it does not 'decay' for a healthy run.

Reward Baseline

Reward Baseline

Scalar reward baseline used by the RSPG policy-gradient estimator. NOTE: the trailing ``_ewma`` in the plot name is a legacy artifact retained for backward compatibility with an earlier plot-naming scheme — the actual series semantics depend on ``RSPGStrategy.baseline``: ``'R_e'`` (default) is a risk-seeking quantile, ``'ewma_R'`` is an exponential moving average, ``'combined'`` sums both. Read the configured baseline mode before interpreting the curve; the human-readable plot title (``Reward Baseline``) is mode-neutral on purpose.

Warnings

tabular data: field-grid plots skipped (no grid topology)
Full result (JSON, for debugging) — click to expand
{
  "result_schema_version": 1,
  "best_expression": "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
  "best_score": 0.7237229943275452,
  "iterations": 200,
  "early_stopped": false,
  "final_eval": {
    "mse": 17.987086624372868,
    "nmse": 0.10212221200663556,
    "r2": 0.8978777879933645,
    "score": 215.83440271014075,
    "complexity": 9,
    "coefficients": [
      6.1490687041625405
    ],
    "is_valid": true,
    "error_message": "",
    "invalid_reason": null,
    "selected_indices": null,
    "residuals": "[74 elements]",
    "terms": [
      "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))"
    ],
    "expression": "",
    "lhs_name": "V_S",
    "condition_number": null,
    "condition_number_computed": false
  },
  "actual": "[74 elements]",
  "predicted": "[74 elements]",
  "dataset_name": "tlc-cc-start",
  "algorithm_name": "DISCOVERPlugin",
  "config": {
    "algorithm": "discover",
    "n_iterations": 2000,
    "seed": 0,
    "library": {
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      "state_vars": [
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      "coord_vars": []
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        "div(mul(add(r,r),1.000468351761882),sub(r,mul(add(0.22813721657327646,R_F),6.1575042398903435)))",
        "sub(add(-1.1679324614049928,R_F),mul(r,mul(r,mul(div(add(-0.32504103053522654,r),R_F),0.24873939114846302))))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(mul(add(r,r),1.000468351761882),sub(r,mul(add(0.22813721657327646,R_F),6.1575042398903435)))",
        "sub(add(-1.1679324614049928,R_F),mul(r,mul(r,mul(div(add(-0.32504103053522654,r),R_F),0.24873939114846302))))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(mul(add(r,r),1.000468351761882),sub(r,mul(add(0.22813721657327646,R_F),6.1575042398903435)))",
        "sub(add(-1.1679324614049928,R_F),mul(r,mul(r,mul(div(add(-0.32504103053522654,r),R_F),0.24873939114846302))))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(mul(add(r,r),1.000468351761882),sub(r,mul(add(0.22813721657327646,R_F),6.1575042398903435)))",
        "sub(add(-1.1679324614049928,R_F),mul(r,mul(r,mul(div(add(-0.32504103053522654,r),R_F),0.24873939114846302))))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(mul(add(r,r),1.000468351761882),sub(r,mul(add(0.22813721657327646,R_F),6.1575042398903435)))",
        "sub(add(-1.1679324614049928,R_F),mul(r,mul(r,mul(div(add(-0.32504103053522654,r),R_F),0.24873939114846302))))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "sub(add(-1.1679324614049928,R_F),mul(r,mul(r,mul(div(add(-0.32504103053522654,r),R_F),0.24873939114846302))))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "sub(add(-1.1679324614049928,R_F),mul(r,mul(r,mul(div(add(-0.32504103053522654,r),R_F),0.24873939114846302))))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "sub(add(-1.1679324614049928,R_F),mul(r,mul(r,mul(div(add(-0.32504103053522654,r),R_F),0.24873939114846302))))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(1.0000013933335137,sub(0.5884496156708359,mul(r,sub(0.5438559128440453,R_F))))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(0.07366451495749739,R_F))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
        "mul(sub(-3.688101760781086,sub(mul(div(r,R_F),r),-3.6881017607811146)),sub(R_F,1.2707816531117153))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(r,sub(mul(r,sub(0.23166316965263675,R_F)),0.2880631323816185))",
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(16.770111141805593,sub(0.37159693106506575,div(add(R_F,-2.927067185742721),add(-9.020908859006783,r))))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(16.770111141805593,sub(0.37159693106506575,div(add(R_F,-2.927067185742721),add(-9.020908859006783,r))))",
        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(mul(add(R_F,add(R_F,add(-0.7144476414795117,r))),sub(R_F,1.2858840255415689)),R_F)",
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        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
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        "div(r,add(R_F,0.07366451495749739))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(16.770111141805593,sub(0.37159693106506575,div(add(R_F,-2.927067185742721),add(-9.020908859006783,r))))",
        "add(div(3.1271200204062013,add(R_F,0.12173153598065871)),div(add(r,-0.8643682654347331),add(R_F,-0.03581273108381883)))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
      ],
      [
        "div(r,R_F)",
        "div(r,add(R_F,0.07366451495749739))",
        "div(r,add(R_F,div(0.07013714880177574,r)))",
        "div(0.9999990177269865,add(mul(-0.34784155247475734,r),add(0.4027569187693318,R_F)))",
        "div(16.770111141805593,sub(0.37159693106506575,div(add(R_F,-2.927067185742721),add(-9.020908859006783,r))))",
        "add(div(3.1271200204062013,add(R_F,0.12173153598065871)),div(add(r,-0.8643682654347331),add(R_F,-0.03581273108381883)))",
        "add(-2.0507064934844386,div(add(div(3.0343253388732703,sub(div(1.6675956231000224,sub(r,3.436653895041432)),R_F)),4.87546789863222),R_F))"
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