Laboratory of Babel / Archive / grad-noise-175k

grad-noise-175k

Gradient noise, 175k (run of 2026-09-23) · A complete batch run over 175,797 lattice-noise expressions, with 32 texture diagnostics and a frame of each.

About this collection

This collection is complete and closed. Every expression in the space below was rendered and measured once, in a single batch run. Each row is one expression, and its coordinate links to it running live on uto.run.

The purpose is exploratory. There is no target texture and no attempt to resemble Perlin noise. A constant field, a strongly directional pattern or an odd value distribution is an observation, not a failure. The measurements describe textures so they can be sorted, filtered and compared. They are a lossy fingerprint, not a judgement of quality and not a substitute for looking.

The space

An ither formula with two layers:

  • topo: expression trees of up to 64 nodes, built from unary (o1), binary (o2) and leaf (x) slots
  • expr: fills those slots
    • leaves: P, D, R
    • unary: sqt log frc flr cil sgn nrm
    • binary: add sub mlt div pow mod lrg eql min dot dst

A coordinate t·x·u·b follows the formula's projection: t the topology, x the leaf choices, u the unary choices, b the binary choices. Points outside the space were omitted from the run. Two orderings ride along: ordinal is the point's position in ither's whole enumeration (gaps where points were omitted), and batch index is its place in the batch run's sequence, 0 to 175,796 (the run's inputs.expr, and the number in its frame's file name).

The apparatus

Each expression is evaluated at the corners of a rectangular lattice with quintic blending (LATT.RECT.QUINTIC), over coordinates mlt(C, 8), in a 256 × 256 field #A. One configuration per expression: the dimension and coordinate scale were fixed for the whole run.

Measurements are taken from #A's x channel, its stored values (not a screenshot), at step 7, after which the run moves to the next expression. The frame in each row is that field, remapped for display.

The measurements

Notation: f is the field value, E averages the whole field, and E_I averages the interior (C-space [-0.98, 0.98]², which keeps wrapped edges out of the spatial measures).

Value distribution

key meaning
value_mean, value_abs_mean E[f] and E[|f|]: signed offset, typical distance from zero
value_positive_fraction share of values above 0 (field tolerance 0.0001)
value_variance, value_stddev population variance and SD: contrast
value_min, value_max, value_range sampled extrema and their difference
histogram_entropy_bits entropy of a 32-bin histogram over [−1, 1], 0 (one bin) to 5 (uniform) bits
histogram_probability_sum consistency check, ≈ 1

Local roughness (one-pixel differences dx, dy, and g = √(dx² + dy²))

key meaning
gradient_energy_x, gradient_energy_y E_I[dx²], E_I[dy²]
gradient_magnitude_mean E_I[g]: roughness
gradient_magnitude_variance, _stddev, _max how unevenly that roughness is spread, and its peak
gradient_magnitude_cv SD / mean of g: uneven activity (quiet areas interrupted by edges), independent of amplitude
gradient_axis_bias (Ex − Ey) / (Ex + Ey), −1 to 1: horizontal vs vertical preference. Zero does not mean isotropic (diagonals balance too)
gradient_nonzero_flag 1 if there is any gradient energy at all

Change of slope (four-neighbour Laplacian L)

key meaning
laplacian_mean, laplacian_energy, laplacian_abs_mean E_I[L], E_I[L²], E_I[|L|]. Sharp or high-frequency structure responds; a linear ramp does not

Normalised by contrast (comparable across amplitudes)

key meaning
gradient_energy_over_variance (Ex + Ey) / variance
laplacian_energy_over_variance E_I[L²] / variance
variance_normalization_valid_flag, gradient_cv_valid_flag whether the denominators above are meaningful (> 10⁻¹²). Filter on these before trusting a ratio

Three spatial scales (mean squared difference at a distance, over the central [-0.74, 0.74]²: 2, 8 and 32 pixels at this resolution)

key meaning
scale_diff2_near, _mid, _far raw difference energy at each distance
scale_diff2_near_over_variance, _mid_…, _far_… the same, normalised. Low near and rising far suggests smooth structure; a dip at a longer distance can hint at repetition

Each record's json also holds value_histogram (the 32 bin probabilities) and scale_curve (the three scales with their distances).

Reading them, and their limits

  • Clipping. #A kept its default signed domain, so values outside [−1, 1] were clipped before measuring. The diagnostics describe the clipped texture.
  • Combinations say more than any one key. A large range with modest SD and a high gradient peak suggests a few strong excursions. A broad histogram with low normalised detail suggests smooth variation. Similar roughness with a different CV means the activity is concentrated differently.
  • Entropy is about values, not space. A smooth ramp can have high entropy, and shuffling the pixels would not change it.
  • Raw spatial measures depend on resolution and amplitude. Prefer the normalised keys for detail independent of contrast, after checking the validity flags.
  • Not measured: full orientation, spectra or periodicity, lacunarity, tileability, colour, novelty, aesthetic merit.
  • Validation. The suite compiled and ran on every expression. Systematic numerical controls (constants, ramps, stripes, checkerboards, random pixels) and a comparison against longer settling times were not done before this run. Treat the values as exploratory.

Provenance

  • Apparatus: noiseBatch/one.uto, project SHA-256 b6fc8f27…be04d0
  • Expression corpus: SHA-256 7d3ec029…d72266
  • Run files (canonical), in ~/lab/data/grad-noise-175k/: the enumeration (grad-noise-175k.jsonl), the measurements (grad-noise-175k-output.jsonl, joined on inputs.expr), the formula (grad-noise-175k.manifest.json) and the frames (png/)
175,797 records
coordinate ▲ t x u b expression batch index ordinal topo measured step globalStep value_mean value_positive_fraction value_abs_mean value_variance value_stddev value_min value_max value_range histogram_probability_sum histogram_entropy_bits gradient_energy_x gradient_energy_y gradient_magnitude_mean gradient_axis_bias gradient_nonzero_flag laplacian_mean laplacian_energy laplacian_abs_mean gradient_magnitude_variance gradient_magnitude_stddev gradient_magnitude_cv gradient_magnitude_max gradient_energy_over_variance laplacian_energy_over_variance variance_normalization_valid_flag gradient_cv_valid_flag scale_diff2_near scale_diff2_mid scale_diff2_far scale_diff2_near_over_variance scale_diff2_mid_over_variance scale_diff2_far_over_variance
t19_x24_u2_b83 19 24 2 83 eql(R,lrg(frc(R),P)) 157300 155261528 o2(x,o2(o1(x),x)) true 138407 138407 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u2_b84 19 24 2 84 eql(R,eql(frc(R),P)) 157301 155261529 o2(x,o2(o1(x),x)) true 138415 138415 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u2_b85 19 24 2 85 eql(R,min(frc(R),P)) 157302 155261530 o2(x,o2(o1(x),x)) true 138423 138423 0.2148 0.455 0.2148 0.1181 0.3436 0 1 1 1 2.248 0.001095 0.001206 0.02703 -0.04847 1 -0.00002424 0.0001387 0.006603 0.001571 0.03963 1.466 0.1169 0.01949 0.001175 1 1 0.004457 0.05786 0.1462 0.03774 0.49 1.238 json
t19_x24_u2_b86 19 24 2 86 eql(R,dot(frc(R),P)) 157303 155261531 o2(x,o2(o1(x),x)) true 138431 138431 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u2_b87 19 24 2 87 eql(R,dst(frc(R),P)) 157304 155261532 o2(x,o2(o1(x),x)) true 138439 138439 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u2_b88 19 24 2 88 min(R,add(frc(R),P)) 157305 155261533 o2(x,o2(o1(x),x)) true 138447 138447 -0.4486 0.2483 0.6438 0.3375 0.5809 -1 0.9806 1.981 1 3.813 0.001888 0.001617 0.03807 0.07742 1 -0.000006992 0.000253 0.009186 0.002056 0.04535 1.191 0.219 0.01039 0.0007498 1 1 0.007242 0.09261 0.301 0.02146 0.2744 0.892 json
t19_x24_u2_b89 19 24 2 89 min(R,sub(frc(R),P)) 157306 155261534 o2(x,o2(o1(x),x)) true 138455 138455 -0.4226 0.2786 0.6496 0.3655 0.6046 -1 0.9693 1.969 1 3.836 0.001716 0.001811 0.03704 -0.0271 1 0.00002004 0.0002466 0.008817 0.002155 0.04643 1.253 0.2301 0.009649 0.0006746 1 1 0.007352 0.09222 0.2857 0.02011 0.2523 0.7817 json
t19_x24_u2_b90 19 24 2 90 min(R,mlt(frc(R),P)) 157307 155261535 o2(x,o2(o1(x),x)) true 138463 138463 -0.4632 0.2244 0.6376 0.3134 0.5598 -1 0.9806 1.981 1 4.007 0.001819 0.001615 0.03841 0.05939 1 0.00001138 0.0003506 0.01034 0.001958 0.04425 1.152 0.2613 0.01096 0.001118 1 1 0.006789 0.08486 0.2531 0.02166 0.2707 0.8075 json
t19_x24_u2_b91 19 24 2 91 min(R,div(frc(R),P)) 157308 155261536 o2(x,o2(o1(x),x)) true 138471 138471 -0.2524 0.1861 0.3348 0.1115 0.334 -0.9989 0.9432 1.942 1 4.377 0.00135 0.001233 0.03823 0.04543 1 0.00001128 0.0001496 0.008831 0.001121 0.03348 0.8756 0.1967 0.02316 0.001342 1 1 0.005444 0.07034 0.1994 0.04881 0.6307 1.788 json
t19_x24_u2_b92 19 24 2 92 min(R,pow(frc(R),P)) 157309 155261537 o2(x,o2(o1(x),x)) true 138479 138479 -0.0476 0.4374 0.3627 0.194 0.4405 -0.9989 0.9693 1.968 1 4.8 0.002336 0.002703 0.05695 -0.07277 1 0.00002688 0.0002917 0.01299 0.001796 0.04238 0.7442 0.2301 0.02597 0.001504 1 1 0.01013 0.1297 0.3286 0.05219 0.6687 1.694 json
t19_x24_u2_b93 19 24 2 93 min(R,mod(frc(R),P)) 157310 155261538 o2(x,o2(o1(x),x)) true 138487 138487 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t19_x24_u2_b94 19 24 2 94 min(R,lrg(frc(R),P)) 157311 155261539 o2(x,o2(o1(x),x)) true 138495 138495 -0.1089 0.2835 0.3376 0.17 0.4124 -0.9989 0.9693 1.968 1 4.59 0.001757 0.002222 0.04859 -0.1169 1 0.00002257 0.0002301 0.01115 0.001618 0.04023 0.8278 0.2301 0.0234 0.001353 1 1 0.007881 0.1008 0.2669 0.04635 0.5926 1.57 json
t19_x24_u2_b95 19 24 2 95 min(R,eql(frc(R),P)) 157312 155261540 o2(x,o2(o1(x),x)) true 138503 138503 -0.2541 0 0.2541 0.06549 0.2559 -0.9989 0 0.9989 1 3.542 0.000768 0.0009295 0.0314 -0.09514 1 0.00001332 0.00009988 0.007359 0.0007117 0.02668 0.8497 0.1168 0.02592 0.001525 1 1 0.003123 0.04017 0.1061 0.04769 0.6134 1.62 json
t19_x24_u2_b96 19 24 2 96 min(R,min(frc(R),P)) 157313 155261541 o2(x,o2(o1(x),x)) true 138511 138511 -0.4947 0.2244 0.669 0.3314 0.5756 -1 0.9806 1.981 1 3.609 0.001675 0.001465 0.03457 0.06692 1 -5.686e-7 0.0001859 0.007986 0.001945 0.0441 1.276 0.219 0.009476 0.0005609 1 1 0.006236 0.08108 0.2653 0.01882 0.2447 0.8006 json
t19_x24_u2_b97 19 24 2 97 min(R,dot(frc(R),P)) 157314 155261542 o2(x,o2(o1(x),x)) true 138519 138519 -0.5268 0.2032 0.6892 0.3166 0.5627 -1 0.9795 1.979 1 3.596 0.002526 0.002311 0.03957 0.0444 1 0.00008286 0.001014 0.01274 0.003272 0.0572 1.446 0.65 0.01528 0.003202 1 1 0.008165 0.0971 0.3076 0.02579 0.3067 0.9716 json
t19_x24_u2_b98 19 24 2 98 min(R,dst(frc(R),P)) 157315 155261543 o2(x,o2(o1(x),x)) true 138527 138527 0.008979 0.4983 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002813 0.00317 0.0632 -0.05957 1 0.00002651 0.0003508 0.01449 0.001989 0.0446 0.7057 0.2301 0.02725 0.001598 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t19_x24_u2_b99 19 24 2 99 dot(R,add(frc(R),P)) 157316 155261544 o2(x,o2(o1(x),x)) true 138535 138535 -0.03129 0.4946 0.8522 0.8035 0.8964 -1 1 2 1 2.875 0.025 0.03255 0.09982 -0.1311 1 0.00004657 0.04659 0.07403 0.0476 0.2182 2.186 1.917 0.07162 0.05798 1 1 0.07342 0.5598 1.393 0.09138 0.6967 1.734 json
t19_x24_u2_b100 19 24 2 100 dot(R,sub(frc(R),P)) 157317 155261545 o2(x,o2(o1(x),x)) true 138543 138543 0.1622 0.5839 0.8445 0.7676 0.8761 -1 1 2 1 2.938 0.02427 0.03341 0.1033 -0.1585 1 -0.00006106 0.04482 0.07449 0.047 0.2168 2.098 1.824 0.07515 0.05839 1 1 0.07392 0.5747 1.359 0.0963 0.7488 1.771 json
t19_x24_u2_b101 19 24 2 101 dot(R,mlt(frc(R),P)) 157318 155261546 o2(x,o2(o1(x),x)) true 138551 138551 -0.09501 0.4537 0.7123 0.6194 0.787 -1 1 2 1 3.898 0.0139 0.01631 0.09535 -0.07964 1 0.00004626 0.01269 0.04474 0.02112 0.1453 1.524 1.171 0.04878 0.02049 1 1 0.041 0.4014 0.9896 0.0662 0.6481 1.598 json
t19_x24_u2_b102 19 24 2 102 dot(R,div(frc(R),P)) 157319 155261547 o2(x,o2(o1(x),x)) true 138559 138559 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u2_b103 19 24 2 103 dot(R,pow(frc(R),P)) 157320 155261548 o2(x,o2(o1(x),x)) true 138567 138567 -0.02374 0.495 0.7941 0.7362 0.858 -1 1 2 1 3.188 0.05662 0.05689 0.09313 -0.002372 1 0.0004723 0.2603 0.1251 0.1049 0.3239 3.478 2.828 0.1542 0.3536 1 1 0.1034 0.5132 1.173 0.1404 0.697 1.593 json
t19_x24_u2_b104 19 24 2 104 dot(R,mod(frc(R),P)) 157321 155261549 o2(x,o2(o1(x),x)) true 138575 138575 -0.0546 0.519 0.5399 0.4166 0.6454 -1 1 2 1 4.314 0.01598 0.01742 0.06422 -0.04326 1 0.0000199 0.05907 0.04951 0.02928 0.1711 2.665 2.828 0.08017 0.1418 1 1 0.04319 0.2344 0.743 0.1037 0.5628 1.784 json
t19_x24_u2_b105 19 24 2 105 dot(R,lrg(frc(R),P)) 157322 155261550 o2(x,o2(o1(x),x)) true 138583 138583 0.006648 0.5066 0.4757 0.3263 0.5712 -1 1 2 1 4.87 0.004795 0.00552 0.07595 -0.0703 1 0.00004189 0.001275 0.01982 0.004547 0.06743 0.8878 0.4552 0.03162 0.003906 1 1 0.02097 0.2461 0.6081 0.06428 0.7544 1.864 json
t19_x24_u2_b106 19 24 2 106 dot(R,eql(frc(R),P)) 157323 155261551 o2(x,o2(o1(x),x)) true 138591 138591 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u2_b107 19 24 2 107 dot(R,min(frc(R),P)) 157324 155261552 o2(x,o2(o1(x),x)) true 138599 138599 -0.02193 0.494 0.658 0.5697 0.7548 -1 1 2 1 3.989 0.01617 0.02034 0.08801 -0.1141 1 -0.00004652 0.02322 0.04995 0.02875 0.1696 1.927 1.834 0.06409 0.04077 1 1 0.04947 0.407 0.9587 0.08684 0.7145 1.683 json
t19_x24_u2_b108 19 24 2 108 dot(R,dot(frc(R),P)) 157325 155261553 o2(x,o2(o1(x),x)) true 138607 138607 -0.02833 0.4757 0.7372 0.6641 0.8149 -1 1 2 1 3.638 0.02098 0.02331 0.09789 -0.05255 1 -0.00004903 0.03466 0.06117 0.03471 0.1863 1.903 2.033 0.06668 0.05218 1 1 0.05867 0.4602 1.135 0.08834 0.6929 1.709 json
t19_x24_u2_b109 19 24 2 109 dot(R,dst(frc(R),P)) 157326 155261554 o2(x,o2(o1(x),x)) true 138615 138615 0.01813 0.5121 0.8939 0.8584 0.9265 -1 1 2 1 2.49 0.03913 0.04132 0.1093 -0.0272 1 0.00002837 0.08678 0.1001 0.06851 0.2617 2.395 2.279 0.09371 0.1011 1 1 0.1053 0.6926 1.527 0.1227 0.8069 1.778 json
t19_x24_u2_b110 19 24 2 110 dst(R,add(frc(R),P)) 157327 155261555 o2(x,o2(o1(x),x)) true 138623 138623 0.9973 1 0.9973 0.001754 0.04188 0.0005821 1 0.9994 1 0.06748 0.00003988 0.00005448 0.0007153 -0.1547 0 -2.816e-11 0.00002356 0.0002995 0.00009383 0.009686 13.54 0.2517 0.0538 0.01343 1 1 0.0003158 0.003275 0.006392 0.1801 1.867 3.645 json
t19_x24_u2_b111 19 24 2 111 dst(R,sub(frc(R),P)) 157328 155261556 o2(x,o2(o1(x),x)) true 138631 138631 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u2_b112 19 24 2 112 dst(R,mlt(frc(R),P)) 157329 155261557 o2(x,o2(o1(x),x)) true 138639 138639 0.989 1 0.989 0.004263 0.06529 0.2489 1 0.7511 1 0.3379 0.0001673 0.0001514 0.002968 0.04978 1 -0.00003082 0.0001954 0.002061 0.00031 0.01761 5.932 0.3803 0.07477 0.04583 1 1 0.0007045 0.005802 0.01382 0.1653 1.361 3.241 json
t19_x24_u2_b113 19 24 2 113 dst(R,div(frc(R),P)) 157330 155261558 o2(x,o2(o1(x),x)) true 138647 138647 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u2_b114 19 24 2 114 dst(R,pow(frc(R),P)) 157331 155261559 o2(x,o2(o1(x),x)) true 138655 138655 0.9955 1 0.9955 0.0009277 0.03046 0.4562 1 0.5438 1 0.2156 0.00006289 0.00006924 0.001662 -0.048 1 -0.000004775 0.0001396 0.001264 0.0001294 0.01138 6.845 0.5467 0.1424 0.1505 1 1 0.0002966 0.001831 0.002179 0.3197 1.973 2.349 json
t19_x24_u2_b115 19 24 2 115 dst(R,mod(frc(R),P)) 157332 155261560 o2(x,o2(o1(x),x)) true 138663 138663 0.4677 0.7656 0.9365 0.699 0.8361 -1 1 2 1 1.702 0.02775 0.02364 0.03986 0.08 1 -0.000009421 0.1001 0.05664 0.04984 0.2232 5.6 2.001 0.07351 0.1431 1 1 0.06387 0.2832 1.086 0.09137 0.4051 1.554 json
t19_x24_u2_b116 19 24 2 116 dst(R,lrg(frc(R),P)) 157333 155261561 o2(x,o2(o1(x),x)) true 138671 138671 0.9858 1 0.9858 0.004505 0.06712 0.2919 1 0.7081 1 0.4599 0.0001699 0.0001841 0.00419 -0.03996 1 -0.00002082 0.0001503 0.00254 0.0003362 0.01834 4.376 0.1944 0.07857 0.03336 1 1 0.000723 0.005874 0.009776 0.1605 1.304 2.17 json
t19_x24_u2_b117 19 24 2 117 dst(R,eql(frc(R),P)) 157334 155261562 o2(x,o2(o1(x),x)) true 138679 138679 0.897 1 0.897 0.02252 0.1501 0.09951 1 0.9005 1 2.181 0.0003411 0.0004606 0.01666 -0.149 1 -0.00001961 0.000143 0.005703 0.0005243 0.0229 1.374 0.1266 0.0356 0.006351 1 1 0.001342 0.015 0.03485 0.05959 0.666 1.547 json
t19_x24_u2_b118 19 24 2 118 dst(R,min(frc(R),P)) 157335 155261563 o2(x,o2(o1(x),x)) true 138687 138687 0.9654 1 0.9654 0.01492 0.1221 0.03461 1 0.9654 1 0.8135 0.0003095 0.0002607 0.00697 0.08558 1 -0.00002414 0.0001397 0.002922 0.0005215 0.02284 3.277 0.1829 0.03823 0.009368 1 1 0.0009985 0.01038 0.03263 0.06694 0.6959 2.187 json
t19_x24_u2_b119 19 24 2 119 dst(R,dot(frc(R),P)) 157336 155261564 o2(x,o2(o1(x),x)) true 138695 138695 0.9982 1 0.9982 0.0006849 0.02617 0.2916 1 0.7084 1 0.07876 0.00007247 0.00007673 0.0009739 -0.02852 1 -0.00001891 0.0001238 0.0009488 0.0001483 0.01218 12.5 0.4 0.2178 0.1808 1 1 0.0001549 0.0009672 0.001088 0.2261 1.412 1.589 json
t19_x24_u2_b120 19 24 2 120 dst(R,dst(frc(R),P)) 157337 155261565 o2(x,o2(o1(x),x)) true 138703 138703 0.9995 1 0.9995 0.0001803 0.01343 0.4855 1 0.5145 1 0.02079 0.00001593 0.00001348 0.0002216 0.08341 0 -4.505e-11 0.00001853 0.0001793 0.00002934 0.005416 24.44 0.2295 0.1631 0.1028 1 1 0.00009074 0.0005946 0.0006559 0.5032 3.298 3.638 json
t19_x24_u3_b0 19 24 3 0 add(R,add(flr(R),P)) 157338 155261646 o2(x,o2(o1(x),x)) true 138711 138711 -0.05017 0.4776 0.9404 0.9168 0.9575 -1 1 2 1 1.942 0.002048 0.001191 0.01646 0.2646 1 -0.00003487 0.0008254 0.006742 0.002969 0.05449 3.31 0.4289 0.003532 0.0009003 1 1 0.00803 0.08324 0.3178 0.008759 0.09079 0.3466 json
t19_x24_u3_b1 19 24 3 1 add(R,sub(flr(R),P)) 157339 155261647 o2(x,o2(o1(x),x)) true 138719 138719 -0.06155 0.4697 0.9312 0.9037 0.9507 -1 1 2 1 2.027 0.001901 0.00119 0.01688 0.2301 1 -0.00002157 0.0007796 0.006883 0.002806 0.05297 3.137 0.4501 0.00342 0.0008626 1 1 0.007348 0.07583 0.3304 0.008131 0.08391 0.3655 json
t19_x24_u3_b2 19 24 3 2 add(R,mlt(flr(R),P)) 157340 155261648 o2(x,o2(o1(x),x)) true 138727 138727 0.1134 0.6039 0.7904 0.6986 0.8358 -1 1 2 1 3.502 0.006887 0.007116 0.05661 -0.01638 1 0.00004904 0.005987 0.0303 0.0108 0.1039 1.836 0.7528 0.02005 0.008571 1 1 0.02404 0.2249 0.5185 0.03442 0.3219 0.7422 json
t19_x24_u3_b3 19 24 3 3 add(R,div(flr(R),P)) 157341 155261649 o2(x,o2(o1(x),x)) true 138735 138735 -0.1177 0.4836 0.4977 0.339 0.5823 -1 0.9806 1.981 1 4.667 0.01891 0.003028 0.0656 0.7239 1 0.00005783 0.03313 0.0335 0.01763 0.1328 2.024 1.943 0.0647 0.09771 1 1 0.03124 0.2132 0.5518 0.09213 0.6289 1.627 json
t19_x24_u3_b4 19 24 3 4 add(R,pow(flr(R),P)) 157342 155261650 o2(x,o2(o1(x),x)) true 138743 138743 -0.962 0.02344 0.9911 0.06113 0.2473 -1 1 2 1 0.2437 0.007189 0.005237 0.008122 0.1571 1 0.000002697 0.02593 0.01527 0.01236 0.1112 13.69 2.698 0.2033 0.4242 1 1 0.009154 0.03958 0.1086 0.1497 0.6475 1.776 json
t19_x24_u3_b5 19 24 3 5 add(R,mod(flr(R),P)) 157343 155261651 o2(x,o2(o1(x),x)) true 138751 138751 -0.4249 0.3119 0.6971 0.418 0.6466 -1 0.9804 1.98 1 3.667 0.01943 0.006955 0.08264 0.4728 1 0.000136 0.02921 0.04133 0.01956 0.1398 1.692 1.943 0.06312 0.06987 1 1 0.04004 0.322 0.735 0.09577 0.7703 1.758 json
t19_x24_u3_b6 19 24 3 6 add(R,lrg(flr(R),P)) 157344 155261652 o2(x,o2(o1(x),x)) true 138759 138759 0.3507 0.6978 0.5794 0.3251 0.5702 -0.9986 1 1.999 1 4.412 0.002584 0.002675 0.05117 -0.01735 1 -0.00003014 0.0006344 0.01428 0.002641 0.05139 1.004 0.3332 0.01617 0.001951 1 1 0.01046 0.1266 0.3617 0.03219 0.3895 1.113 json
t19_x24_u3_b7 19 24 3 7 add(R,eql(flr(R),P)) 157345 155261653 o2(x,o2(o1(x),x)) true 138767 138767 0.05566 0.5293 0.4152 0.2424 0.4923 -0.9986 1 1.999 1 4.902 0.003208 0.003254 0.06469 -0.007016 1 0.00003222 0.0004433 0.01522 0.002278 0.04772 0.7377 0.2892 0.02666 0.001829 1 1 0.0135 0.1704 0.4361 0.05569 0.703 1.799 json
t19_x24_u3_b8 19 24 3 8 add(R,min(flr(R),P)) 157346 155261654 o2(x,o2(o1(x),x)) true 138775 138775 -0.6676 0.1694 0.8134 0.3057 0.5529 -1 0.9804 1.98 1 2.587 0.004292 0.004279 0.04864 0.001601 1 0.00006254 0.001372 0.01556 0.006208 0.07879 1.62 0.3359 0.02804 0.004487 1 1 0.01734 0.1996 0.5008 0.05673 0.653 1.638 json
t19_x24_u3_b9 19 24 3 9 add(R,dot(flr(R),P)) 157347 155261655 o2(x,o2(o1(x),x)) true 138783 138783 0.02339 0.5287 0.8595 0.8073 0.8985 -1 1 2 1 2.914 0.0127 0.01508 0.06932 -0.08588 1 0.0001272 0.01565 0.04427 0.02297 0.1516 2.186 1.64 0.03442 0.01939 1 1 0.04329 0.3569 0.8464 0.05362 0.4422 1.049 json
t19_x24_u3_b10 19 24 3 10 add(R,dst(flr(R),P)) 157348 155261656 o2(x,o2(o1(x),x)) true 138791 138791 0.9985 1 0.9985 0.000525 0.02291 0.3985 1 0.6015 1 0.06591 0.00002372 0.00003102 0.0005484 -0.1334 0 -4.13e-11 0.00002649 0.00038 0.00005441 0.007376 13.45 0.1599 0.1043 0.05045 1 1 0.0001735 0.001367 0.001912 0.3304 2.603 3.642 json
t19_x24_u3_b11 19 24 3 11 sub(R,add(flr(R),P)) 157349 155261657 o2(x,o2(o1(x),x)) true 138799 138799 0.06601 0.5328 0.9289 0.902 0.9497 -1 1 2 1 2 0.0007515 0.00006826 0.008799 0.8335 1 -0.000004504 0.0001399 0.002824 0.0007422 0.02724 3.096 0.2097 0.0009088 0.0001551 1 1 0.002071 0.02381 0.2187 0.002296 0.0264 0.2424 json
t19_x24_u3_b12 19 24 3 12 sub(R,sub(flr(R),P)) 157350 155261658 o2(x,o2(o1(x),x)) true 138807 138807 0.06415 0.5317 0.9305 0.9041 0.9508 -1 1 2 1 1.99 0.0007594 0.0000761 0.008868 0.8178 1 -0.000004512 0.0001395 0.002843 0.0007571 0.02752 3.103 0.2002 0.0009242 0.0001543 1 1 0.002089 0.02427 0.2211 0.00231 0.02685 0.2446 json
t19_x24_u3_b13 19 24 3 13 sub(R,mlt(flr(R),P)) 157351 155261659 o2(x,o2(o1(x),x)) true 138815 138815 0.1785 0.6389 0.7931 0.6834 0.8267 -1 1 2 1 3.488 0.006002 0.008413 0.05642 -0.1673 1 0.0001464 0.006077 0.03025 0.01123 0.106 1.878 0.7374 0.02109 0.008893 1 1 0.02326 0.2009 0.5282 0.03404 0.294 0.7729 json
t19_x24_u3_b14 19 24 3 14 sub(R,div(flr(R),P)) 157352 155261660 o2(x,o2(o1(x),x)) true 138823 138823 -0.11 0.4886 0.4928 0.3398 0.5829 -1 0.9807 1.981 1 4.632 0.0181 0.003 0.06233 0.7156 1 0.00006999 0.03203 0.03202 0.01722 0.1312 2.105 1.943 0.0621 0.09428 1 1 0.03009 0.2023 0.5646 0.08857 0.5954 1.662 json
t19_x24_u3_b15 19 24 3 15 sub(R,pow(flr(R),P)) 157353 155261661 o2(x,o2(o1(x),x)) true 138831 138831 -0.9784 0.01212 0.9913 0.03063 0.175 -1 0.9427 1.943 1 0.2087 0.004601 0.00282 0.006609 0.24 1 0.000002697 0.01488 0.009697 0.007374 0.08587 12.99 2.697 0.2423 0.4859 1 1 0.005511 0.02383 0.04688 0.1799 0.7779 1.531 json
t19_x24_u3_b16 19 24 3 16 sub(R,mod(flr(R),P)) 157354 155261662 o2(x,o2(o1(x),x)) true 138839 138839 0.3116 0.8531 0.5732 0.3063 0.5535 -1 0.997 1.997 1 4.048 0.01434 0.0007926 0.0391 0.8953 1 0.00003753 0.02722 0.0259 0.01361 0.1167 2.984 1.943 0.04941 0.08887 1 1 0.01917 0.1066 0.4704 0.06257 0.3479 1.535 json
t19_x24_u3_b17 19 24 3 17 sub(R,lrg(flr(R),P)) 157355 155261663 o2(x,o2(o1(x),x)) true 138847 138847 -0.3592 0.2483 0.5545 0.2821 0.5311 -1 0.9806 1.981 1 4.505 0.002308 0.002354 0.051 -0.01002 1 0.00003827 0.0005037 0.01374 0.002061 0.0454 0.8902 0.223 0.01652 0.001786 1 1 0.009389 0.1138 0.3233 0.03328 0.4034 1.146 json
t19_x24_u3_b18 19 24 3 18 sub(R,eql(flr(R),P)) 157356 155261664 o2(x,o2(o1(x),x)) true 138855 138855 -0.04012 0.4626 0.4131 0.2404 0.4903 -1 0.9806 1.981 1 4.895 0.003024 0.003379 0.06429 -0.05545 1 0.00004587 0.0004365 0.01505 0.00227 0.04765 0.7411 0.315 0.02663 0.001815 1 1 0.01246 0.1587 0.4405 0.05182 0.6602 1.832 json
t19_x24_u3_b19 19 24 3 19 sub(R,min(flr(R),P)) 157357 155261665 o2(x,o2(o1(x),x)) true 138863 138863 0.7413 1 0.7413 0.08105 0.2847 0.001084 1 0.9989 1 3.06 0.0005177 0.0004388 0.01829 0.08247 1 0.00001194 0.0001172 0.004751 0.0006219 0.02494 1.363 0.2097 0.0118 0.001446 1 1 0.001709 0.02061 0.06965 0.02108 0.2543 0.8593 json
t19_x24_u3_b20 19 24 3 20 sub(R,dot(flr(R),P)) 157358 155261666 o2(x,o2(o1(x),x)) true 138871 138871 0.1122 0.5688 0.8627 0.8014 0.8952 -1 1 2 1 2.876 0.01061 0.01593 0.0654 -0.2007 1 0.00006001 0.01587 0.04173 0.02226 0.1492 2.281 1.455 0.03311 0.0198 1 1 0.04103 0.3352 0.7475 0.05119 0.4183 0.9327 json
t19_x24_u3_b21 19 24 3 21 sub(R,dst(flr(R),P)) 157359 155261667 o2(x,o2(o1(x),x)) true 138879 138879 -0.9922 0.002518 0.9932 0.006751 0.08217 -1 0.3974 1.397 1 0.1543 0.0001094 0.00017 0.001705 -0.2171 1 9.761e-11 0.00009082 0.0008545 0.0002769 0.01664 9.759 0.3905 0.04138 0.01345 1 1 0.0009141 0.008675 0.02459 0.1354 1.285 3.643 json
t19_x24_u3_b22 19 24 3 22 mlt(R,add(flr(R),P)) 157360 155261668 o2(x,o2(o1(x),x)) true 138887 138887 0.04076 0.5364 0.7361 0.6541 0.8088 -1 1 2 1 3.794 0.01627 0.0196 0.09117 -0.09269 1 -0.00006765 0.02028 0.04889 0.02755 0.166 1.821 1.33 0.05483 0.03101 1 1 0.05006 0.4331 1.031 0.07653 0.6622 1.576 json
t19_x24_u3_b23 19 24 3 23 mlt(R,sub(flr(R),P)) 157361 155261669 o2(x,o2(o1(x),x)) true 138895 138895 0.1668 0.6012 0.733 0.6253 0.7907 -1 1 2 1 3.78 0.01666 0.01946 0.09229 -0.07731 1 0.00002252 0.0202 0.04963 0.02762 0.1662 1.801 1.613 0.05777 0.03231 1 1 0.05091 0.4452 1.016 0.08142 0.712 1.625 json
t19_x24_u3_b24 19 24 3 24 mlt(R,mlt(flr(R),P)) 157362 155261670 o2(x,o2(o1(x),x)) true 138903 138903 0.03349 0.4667 0.5061 0.4339 0.6587 -1 1 2 1 3.986 0.003153 0.003812 0.04636 -0.09455 1 -0.00000687 0.002479 0.02076 0.004815 0.06939 1.497 0.4661 0.01605 0.005714 1 1 0.01005 0.09897 0.2635 0.02316 0.2281 0.6074 json
t19_x24_u3_b25 19 24 3 25 mlt(R,div(flr(R),P)) 157363 155261671 o2(x,o2(o1(x),x)) true 138911 138911 -0.1246 0.4098 0.1915 0.1231 0.3508 -1 0.8909 1.891 1 3.012 0.008364 0.0001087 0.01611 0.9744 1 0.000005707 0.01659 0.01756 0.008214 0.09063 5.625 1.865 0.06885 0.1348 1 1 0.01148 0.04887 0.1863 0.09331 0.3971 1.514 json
t19_x24_u3_b26 19 24 3 26 mlt(R,pow(flr(R),P)) 157364 155261672 o2(x,o2(o1(x),x)) true 138919 138919 -0.9802 0.00383 0.9821 0.0183 0.1353 -1 0.6686 1.669 1 0.2514 0.00229 0.001721 0.004703 0.1418 1 -5.256e-11 0.008357 0.008149 0.003988 0.06315 13.43 1.669 0.2193 0.4568 1 1 0.002547 0.01157 0.02975 0.1392 0.6324 1.626 json
t19_x24_u3_b27 19 24 3 27 mlt(R,mod(flr(R),P)) 157365 155261673 o2(x,o2(o1(x),x)) true 138927 138927 0.08517 0.8006 0.3352 0.225 0.4743 -1 0.9987 1.999 1 3.401 0.008619 0.0007708 0.03464 0.8358 1 -0.00003326 0.01593 0.02213 0.008189 0.0905 2.612 1 0.04174 0.0708 1 1 0.01311 0.07934 0.3361 0.0583 0.3527 1.494 json
t19_x24_u3_b28 19 24 3 28 mlt(R,lrg(flr(R),P)) 157366 155261674 o2(x,o2(o1(x),x)) true 138935 138935 0.0322 0.2847 0.182 0.1012 0.3181 -0.9987 0.9693 1.968 1 3.126 0.001209 0.001454 0.02875 -0.09204 1 0.00003763 0.0001495 0.006496 0.001836 0.04285 1.49 0.2301 0.02631 0.001477 1 1 0.005169 0.06553 0.1601 0.05108 0.6475 1.582 json
t19_x24_u3_b29 19 24 3 29 mlt(R,eql(flr(R),P)) 157367 155261675 o2(x,o2(o1(x),x)) true 138943 138943 0.002678 0.06361 0.02403 0.009626 0.09811 -0.997 0.8291 1.826 1 0.9302 0.0001692 0.0000859 0.004523 0.3265 1 -0.00001055 0.00001403 0.001032 0.0002345 0.01531 3.386 0.1365 0.0265 0.001457 1 1 0.0006249 0.008107 0.02288 0.06492 0.8421 2.376 json
t19_x24_u3_b30 19 24 3 30 mlt(R,min(flr(R),P)) 157368 155261676 o2(x,o2(o1(x),x)) true 138951 138951 0.1096 0.7231 0.5052 0.3872 0.6222 -1 1 2 1 4.174 0.0083 0.0107 0.06219 -0.1264 1 -0.00002917 0.01011 0.02833 0.01513 0.123 1.978 1.294 0.04908 0.02612 1 1 0.02818 0.2451 0.5401 0.07279 0.6332 1.395 json
t19_x24_u3_b31 19 24 3 31 mlt(R,dot(flr(R),P)) 157369 155261677 o2(x,o2(o1(x),x)) true 138959 138959 0.02932 0.4994 0.6431 0.5653 0.7519 -1 1 2 1 3.962 0.008386 0.008405 0.06642 -0.001124 1 0.00003982 0.008026 0.03296 0.01238 0.1113 1.675 1.524 0.0297 0.0142 1 1 0.02175 0.2059 0.5869 0.03848 0.3642 1.038 json
t19_x24_u3_b32 19 24 3 32 mlt(R,dst(flr(R),P)) 157370 155261678 o2(x,o2(o1(x),x)) true 138967 138967 -0.01523 0.4951 0.8642 0.82 0.9056 -1 1 2 1 2.783 0.02693 0.0304 0.1023 -0.06059 1 0.000076 0.04348 0.07305 0.04688 0.2165 2.117 1.88 0.06991 0.05302 1 1 0.07926 0.6192 1.392 0.09666 0.7551 1.697 json
t19_x24_u3_b33 19 24 3 33 div(R,add(flr(R),P)) 157371 155261679 o2(x,o2(o1(x),x)) true 138975 138975 -0.1136 0.4043 0.2454 0.1522 0.3901 -1 1 2 1 3.633 0.009957 0.01049 0.03042 -0.02623 1 0.000005105 0.04113 0.03015 0.01953 0.1397 4.593 2.828 0.1344 0.2703 1 1 0.0261 0.1195 0.3676 0.1716 0.7853 2.416 json
t19_x24_u3_b34 19 24 3 34 div(R,sub(flr(R),P)) 157372 155261680 o2(x,o2(o1(x),x)) true 138983 138983 -0.1405 0.4563 0.2479 0.1506 0.3881 -1 1 2 1 3.544 0.00946 0.007277 0.02933 0.1305 1 0.00001918 0.03296 0.02687 0.01588 0.126 4.296 2.828 0.1111 0.2188 1 1 0.02375 0.1117 0.3274 0.1576 0.7413 2.174 json
t19_x24_u3_b35 19 24 3 35 div(R,mlt(flr(R),P)) 157373 155261681 o2(x,o2(o1(x),x)) true 138991 138991 -0.883 0.05859 0.9444 0.1566 0.3958 -1 1 2 1 0.7568 0.01847 0.01558 0.02297 0.08495 1 1.428e-7 0.07206 0.04516 0.03353 0.1831 7.97 2.828 0.2174 0.46 1 1 0.03308 0.1408 0.2976 0.2112 0.8987 1.9 json
t19_x24_u3_b36 19 24 3 36 div(R,div(flr(R),P)) 157374 155261682 o2(x,o2(o1(x),x)) true 138999 138999 -0.8667 0.0625 0.99 0.235 0.4848 -1 1 2 1 0.5762 0.02375 0.02257 0.02576 0.02545 1 9.551e-8 0.09737 0.04961 0.04564 0.2136 8.294 2.828 0.1971 0.4144 1 1 0.04269 0.1868 0.415 0.1817 0.7949 1.766 json
t19_x24_u3_b37 19 24 3 37 div(R,pow(flr(R),P)) 157375 155261683 o2(x,o2(o1(x),x)) true 139007 139007 -0.9513 0.006668 0.9541 0.04641 0.2154 -1 0.6686 1.669 1 0.4079 0.004827 0.004514 0.009739 0.03354 1 -1.276e-10 0.01949 0.01809 0.009246 0.09615 9.873 1.976 0.2013 0.4199 1 1 0.009278 0.03943 0.1054 0.1999 0.8495 2.272 json
t19_x24_u3_b38 19 24 3 38 div(R,mod(flr(R),P)) 157376 155261684 o2(x,o2(o1(x),x)) true 139015 139015 -0.822 0.1016 0.9748 0.2892 0.5378 -1 1 2 1 0.7716 0.03253 0.03254 0.03657 -0.00009332 1 0.000001442 0.1374 0.07121 0.0637 0.2524 6.901 2.828 0.225 0.475 1 1 0.0621 0.2607 0.48 0.2147 0.9015 1.66 json
t19_x24_u3_b39 19 24 3 39 div(R,lrg(flr(R),P)) 157377 155261685 o2(x,o2(o1(x),x)) true 139023 139023 -0.5833 0.2184 0.7633 0.3551 0.5959 -1 0.9693 1.969 1 2.861 0.006408 0.004433 0.03019 0.1822 1 0.00004509 0.01805 0.01761 0.009931 0.09965 3.301 2.401 0.03053 0.05082 1 1 0.01609 0.1021 0.2955 0.04531 0.2876 0.8323 json
t19_x24_u3_b40 19 24 3 40 div(R,eql(flr(R),P)) 157378 155261686 o2(x,o2(o1(x),x)) true 139031 139031 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u3_b41 19 24 3 41 div(R,min(flr(R),P)) 157379 155261687 o2(x,o2(o1(x),x)) true 139039 139039 -0.4009 0.2968 0.5905 0.38 0.6164 -1 1 2 1 3.058 0.02836 0.02339 0.03935 0.09592 1 0.000005331 0.1081 0.06007 0.0502 0.2241 5.693 2.828 0.1362 0.2845 1 1 0.05664 0.2437 0.5752 0.1491 0.6414 1.514 json
t19_x24_u3_b42 19 24 3 42 div(R,dot(flr(R),P)) 157380 155261688 o2(x,o2(o1(x),x)) true 139047 139047 -0.6242 0.1996 0.7985 0.3831 0.619 -1 1 2 1 2.001 0.04031 0.03664 0.0564 0.04765 1 -0.000006715 0.1619 0.1058 0.07379 0.2716 4.816 2.828 0.2009 0.4226 1 1 0.0649 0.2756 0.6399 0.1694 0.7194 1.67 json
t19_x24_u3_b43 19 24 3 43 div(R,dst(flr(R),P)) 157381 155261689 o2(x,o2(o1(x),x)) true 139055 139055 -0.00005677 0.4907 0.09029 0.02622 0.1619 -1 1 2 1 2.757 0.002488 0.002504 0.01553 -0.003178 1 0.000001826 0.009826 0.00917 0.004752 0.06893 4.439 2.828 0.1904 0.3747 1 1 0.009181 0.0442 0.08883 0.3502 1.686 3.388 json
t19_x24_u3_b44 19 24 3 44 pow(R,add(flr(R),P)) 157382 155261690 o2(x,o2(o1(x),x)) true 139063 139063 -0.8892 0.05859 0.9936 0.2009 0.4482 -1 1 2 1 0.4208 0.0226 0.01925 0.02218 0.08002 1 0.000004379 0.08795 0.04358 0.04135 0.2033 9.166 2.828 0.2083 0.4379 1 1 0.04189 0.1727 0.4231 0.2085 0.8599 2.106 json
t19_x24_u3_b45 19 24 3 45 pow(R,sub(flr(R),P)) 157383 155261691 o2(x,o2(o1(x),x)) true 139071 139071 -0.9094 0.05829 0.9734 0.1405 0.3748 -1 1 2 1 0.5241 0.01525 0.01419 0.01899 0.03607 1 0.000004748 0.06198 0.03592 0.02908 0.1705 8.98 2.828 0.2095 0.4411 1 1 0.02976 0.1234 0.3023 0.2118 0.8782 2.152 json
t19_x24_u3_b46 19 24 3 46 pow(R,mlt(flr(R),P)) 157384 155261692 o2(x,o2(o1(x),x)) true 139079 139079 -0.8516 0.07422 1 0.2749 0.5243 -1 1 2 1 0.3815 0.02494 0.02444 0.02454 0.0102 1 0 0.103 0.04938 0.04875 0.2208 8.996 2.828 0.1796 0.3748 1 1 0.0467 0.1946 0.6445 0.1699 0.7079 2.344 json
t19_x24_u3_b47 19 24 3 47 pow(R,div(flr(R),P)) 157385 155261693 o2(x,o2(o1(x),x)) true 139087 139087 -0.9297 0.03516 1 0.1356 0.3683 -1 1 2 1 0.2196 0.01487 0.01235 0.01351 0.09259 1 0 0.05694 0.02721 0.027 0.1643 12.16 2.828 0.2006 0.4198 1 1 0.02366 0.09712 0.2474 0.1744 0.716 1.824 json
t19_x24_u3_b48 19 24 3 48 pow(R,pow(flr(R),P)) 157386 155261694 o2(x,o2(o1(x),x)) true 139095 139095 -0.9493 0.01164 0.9647 0.06244 0.2499 -1 1 2 1 0.3222 0.005744 0.006753 0.009966 -0.0807 1 1.126e-11 0.0261 0.01955 0.0124 0.1113 11.17 2.828 0.2002 0.4181 1 1 0.007072 0.03216 0.08824 0.1133 0.5151 1.413 json
t19_x24_u3_b49 19 24 3 49 pow(R,mod(flr(R),P)) 157387 155261695 o2(x,o2(o1(x),x)) true 139103 139103 -0.9141 0.04297 1 0.1645 0.4056 -1 1 2 1 0.2557 0.01839 0.01436 0.01627 0.1231 1 0 0.06853 0.03275 0.03248 0.1802 11.08 2.828 0.1991 0.4166 1 1 0.02366 0.09712 0.2607 0.1438 0.5904 1.585 json
t19_x24_u3_b50 19 24 3 50 pow(R,lrg(flr(R),P)) 157388 155261696 o2(x,o2(o1(x),x)) true 139111 139111 0.1723 0.5977 0.977 0.936 0.9675 -1 1 2 1 1.466 0.01767 0.00722 0.01728 0.4198 1 0.000007719 0.05108 0.03045 0.02457 0.1568 9.071 2.063 0.02659 0.05457 1 1 0.02669 0.1127 0.4228 0.02851 0.1204 0.4517 json
t19_x24_u3_b51 19 24 3 51 pow(R,eql(flr(R),P)) 157389 155261697 o2(x,o2(o1(x),x)) true 139119 139119 0.8194 0.9141 0.9913 0.3144 0.5607 -1 1 2 1 0.6963 0.01972 0.01113 0.01753 0.2786 1 0.000002063 0.06281 0.03241 0.03056 0.1748 9.974 2.828 0.09811 0.1998 1 1 0.04007 0.1687 0.6834 0.1275 0.5365 2.174 json
t19_x24_u3_b52 19 24 3 52 pow(R,min(flr(R),P)) 157390 155261698 o2(x,o2(o1(x),x)) true 139127 139127 -0.9141 0.04297 1 0.1645 0.4056 -1 1 2 1 0.2557 0.01688 0.01638 0.01652 0.01515 1 0 0.06954 0.03326 0.03297 0.1816 10.99 2.828 0.2022 0.4228 1 1 0.02543 0.1095 0.2757 0.1546 0.6659 1.676 json
t19_x24_u3_b53 19 24 3 53 pow(R,dot(flr(R),P)) 157391 155261699 o2(x,o2(o1(x),x)) true 139135 139135 -0.8455 0.08203 0.9905 0.2718 0.5214 -1 1 2 1 0.5603 0.02362 0.02502 0.02622 -0.0288 1 -0.000006106 0.1014 0.0506 0.04798 0.219 8.353 2.828 0.1789 0.3732 1 1 0.04461 0.1866 0.6056 0.1641 0.6865 2.228 json
t19_x24_u3_b54 19 24 3 54 pow(R,dst(flr(R),P)) 157392 155261700 o2(x,o2(o1(x),x)) true 139143 139143 -0.949 0.04259 0.965 0.05951 0.244 -1 0.8298 1.83 1 0.3832 0.006261 0.005825 0.01074 0.03603 1 0.000004849 0.0252 0.01991 0.01198 0.1094 10.19 1.925 0.2031 0.4235 1 1 0.01048 0.04539 0.1114 0.1761 0.7627 1.872 json
t19_x24_u3_b55 19 24 3 55 mod(R,add(flr(R),P)) 157393 155261701 o2(x,o2(o1(x),x)) true 139151 139151 -0.1298 0.4247 0.4729 0.3047 0.552 -1 0.9806 1.981 1 4.759 0.0107 0.007253 0.06368 0.1921 1 0.00005347 0.02665 0.0316 0.0139 0.1179 1.851 2.061 0.05892 0.08748 1 1 0.02252 0.1731 0.5092 0.0739 0.568 1.671 json
t19_x24_u3_b56 19 24 3 56 mod(R,sub(flr(R),P)) 157394 155261702 o2(x,o2(o1(x),x)) true 139159 139159 -0.1282 0.4308 0.4752 0.3092 0.556 -1 0.9806 1.981 1 4.739 0.0107 0.006928 0.06371 0.2139 1 0.00005065 0.02627 0.03149 0.01357 0.1165 1.828 2.401 0.05701 0.08496 1 1 0.02624 0.1907 0.5566 0.08486 0.6169 1.8 json
t19_x24_u3_b57 19 24 3 57 mod(R,mlt(flr(R),P)) 157395 155261703 o2(x,o2(o1(x),x)) true 139167 139167 -0.9688 0 0.9688 0.01813 0.1347 -1 -0.007164 0.9928 1 0.5912 0.001765 0.001754 0.007173 0.003137 1 -0.000001442 0.007201 0.01119 0.003468 0.05889 8.21 1.289 0.1941 0.3971 1 1 0.003832 0.01652 0.03778 0.2113 0.9109 2.084 json
t19_x24_u3_b58 19 24 3 58 mod(R,div(flr(R),P)) 157396 155261704 o2(x,o2(o1(x),x)) true 139175 139175 -0.9437 0 0.9437 0.04559 0.2135 -1 -0.006833 0.9932 1 0.523 0.003945 0.004478 0.01031 -0.06332 1 -3.548e-7 0.01759 0.01964 0.008314 0.09118 8.84 1.405 0.1848 0.3858 1 1 0.008456 0.03637 0.09396 0.1855 0.7979 2.061 json
t19_x24_u3_b59 19 24 3 59 mod(R,pow(flr(R),P)) 157397 155261705 o2(x,o2(o1(x),x)) true 139183 139183 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 json
t19_x24_u3_b60 19 24 3 60 mod(R,mod(flr(R),P)) 157398 155261706 o2(x,o2(o1(x),x)) true 139191 139191 -0.9748 0 0.9748 0.01481 0.1217 -1 -0.007164 0.9928 1 0.4999 0.001359 0.001468 0.005738 -0.0387 1 -0.000001441 0.005774 0.00903 0.002794 0.05286 9.212 1.029 0.1908 0.3898 1 1 0.002608 0.01145 0.02709 0.1761 0.7728 1.829 json
t19_x24_u3_b61 19 24 3 61 mod(R,lrg(flr(R),P)) 157399 155261707 o2(x,o2(o1(x),x)) true 139199 139199 -0.5833 0.2184 0.7633 0.3551 0.5959 -1 0.9693 1.969 1 2.861 0.006408 0.004433 0.03019 0.1822 1 0.00004509 0.01805 0.01761 0.009931 0.09965 3.301 2.401 0.03053 0.05082 1 1 0.01609 0.1021 0.2955 0.04531 0.2876 0.8323 json