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
t20_x46_u0_b138 20 46 0 138 sub(D,sub(lrg(R,P),D)) 168900 164270604 o2(x,o2(o2(x,x),x)) true 59607 59607 -0.4527 0.2344 0.5409 0.2204 0.4694 -1 0.2908 1.291 1 3.455 0.004693 0.00009629 0.05499 0.9598 1 0.000005705 0.001085 0.02721 0.001766 0.04202 0.7642 0.1705 0.02174 0.004926 1 1 0.009239 0.06429 0.07447 0.04193 0.2918 0.3379 json
t20_x46_u0_b139 20 46 0 139 sub(D,sub(eql(R,P),D)) 168901 164270605 o2(x,o2(o2(x,x),x)) true 59615 59615 0 0.5 0.1887 0.04329 0.2081 -0.2908 0.2908 0.5817 1 2.906 0.00653 0 0.07219 1 1 0 0.001025 0.02918 0.001321 0.03635 0.5036 0.1238 0.1508 0.02368 1 1 0.0126 0.08733 0 0.2912 2.017 0 json
t20_x46_u0_b140 20 46 0 140 sub(D,sub(min(R,P),D)) 168902 164270606 o2(x,o2(o2(x,x),x)) true 59623 59623 0.487 0.7609 0.6819 0.3544 0.5953 -1 1 2 1 3.606 0.005677 0.001446 0.05509 0.5939 1 0.0002945 0.001061 0.01933 0.004089 0.06395 1.161 0.3039 0.0201 0.002995 1 1 0.01423 0.1327 0.2599 0.04014 0.3745 0.7334 json
t20_x46_u0_b141 20 46 0 141 sub(D,sub(dot(R,P),D)) 168903 164270607 o2(x,o2(o2(x,x),x)) true 59631 59631 0.09492 0.5445 0.8455 0.7886 0.888 -1 1 2 1 2.896 0.02604 0.0329 0.1063 -0.1163 1 -0.00001527 0.04672 0.07646 0.04762 0.2182 2.054 1.884 0.07473 0.05924 1 1 0.07652 0.5827 1.36 0.09704 0.739 1.724 json
t20_x46_u0_b142 20 46 0 142 sub(D,sub(dst(R,P),D)) 168904 164270608 o2(x,o2(o2(x,x),x)) true 59639 59639 -0.9983 0 0.9983 0.0005133 0.02266 -1 -0.4033 0.5967 1 0.07999 0.00006413 0.00002307 0.0008332 0.4709 0 -6.195e-11 0.00005226 0.0006469 0.00008641 0.009296 11.16 0.2431 0.1699 0.1018 1 1 0.0002703 0.001427 0.001754 0.5265 2.78 3.417 json
t20_x46_u0_b143 20 46 0 143 sub(D,mlt(add(R,P),D)) 168905 164270609 o2(x,o2(o2(x,x),x)) true 59647 59647 0.1337 0.6101 0.409 0.2384 0.4882 -1 1 2 1 4.814 0.03377 0.0002063 0.1428 0.9879 1 -0.002104 0.006611 0.05897 0.01359 0.1166 0.8167 0.5559 0.1425 0.02773 1 1 0.04151 0.3026 0.04979 0.1741 1.269 0.2089 json
t20_x46_u0_b144 20 46 0 144 sub(D,mlt(sub(R,P),D)) 168906 164270610 o2(x,o2(o2(x,x),x)) true 59655 59655 -0.1358 0.3856 0.4135 0.2442 0.4942 -1 1 2 1 4.816 0.03453 0.0002032 0.1434 0.9883 1 0.002083 0.006901 0.05968 0.01417 0.119 0.83 0.5557 0.1422 0.02826 1 1 0.0434 0.3245 0.04822 0.1777 1.329 0.1974 json
t20_x46_u0_b145 20 46 0 145 sub(D,mlt(mlt(R,P),D)) 168907 164270611 o2(x,o2(o2(x,x),x)) true 59663 59663 0.01722 0.5054 0.3406 0.2155 0.4643 -1 1 2 1 4.569 0.01401 0.003546 0.09923 0.5962 1 -0.000478 0.003906 0.0361 0.007713 0.08782 0.885 0.5849 0.08147 0.01812 1 1 0.02298 0.2338 0.2894 0.1066 1.085 1.343 json
t20_x46_u0_b146 20 46 0 146 sub(D,mlt(div(R,P),D)) 168908 164270612 o2(x,o2(o2(x,x),x)) true 59671 59671 -0.1282 0.4303 0.2121 0.12 0.3465 -1 0.344 1.344 1 3.019 0.00935 0.00002951 0.04039 0.9937 1 -0.000002565 0.01613 0.02876 0.007747 0.08802 2.179 1.057 0.07814 0.1344 1 1 0.0132 0.05998 0.1714 0.11 0.4997 1.428 json
t20_x46_u0_b147 20 46 0 147 sub(D,mlt(pow(R,P),D)) 168909 164270613 o2(x,o2(o2(x,x),x)) true 59679 59679 -0.9303 0.01802 0.9563 0.0872 0.2953 -1 1 2 1 0.5135 0.009754 0.008534 0.01546 0.06674 1 -0.0002282 0.03996 0.0275 0.01805 0.1344 8.694 2.828 0.2097 0.4583 1 1 0.01198 0.05228 0.1422 0.1373 0.5996 1.63 json
t20_x46_u0_b148 20 46 0 148 sub(D,mlt(mod(R,P),D)) 168910 164270614 o2(x,o2(o2(x,x),x)) true 59687 59687 -0.1274 0.4316 0.2344 0.1307 0.3615 -1 0.4734 1.473 1 3.503 0.009996 0.0001887 0.04613 0.9629 1 0.00003732 0.01619 0.0297 0.008056 0.08976 1.946 1.057 0.07792 0.1239 1 1 0.01473 0.07769 0.1916 0.1127 0.5944 1.466 json
t20_x46_u0_b149 20 46 0 149 sub(D,mlt(lrg(R,P),D)) 168911 164270615 o2(x,o2(o2(x,x),x)) true 59695 59695 -0.008939 0.2373 0.05328 0.006742 0.08211 -0.2729 0.1454 0.4183 1 2.232 0.0008608 0.000007984 0.0194 0.9816 1 0.0001582 0.0001295 0.007555 0.0004925 0.02219 1.144 0.0622 0.1289 0.01921 1 1 0.001733 0.01321 0.004067 0.257 1.96 0.6033 json
t20_x46_u0_b150 20 46 0 150 sub(D,mlt(eql(R,P),D)) 168912 164270616 o2(x,o2(o2(x,x),x)) true 59703 59703 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b151 20 46 0 151 sub(D,mlt(min(R,P),D)) 168913 164270617 o2(x,o2(o2(x,x),x)) true 59711 59711 0.06533 0.545 0.3023 0.1684 0.4104 -1 1 2 1 4.501 0.02367 0.0001187 0.1068 0.99 1 -0.0007028 0.004656 0.04407 0.01238 0.1113 1.042 0.4953 0.1412 0.02764 1 1 0.03073 0.2136 0.02496 0.1824 1.268 0.1482 json
t20_x46_u0_b152 20 46 0 152 sub(D,mlt(dot(R,P),D)) 168914 164270618 o2(x,o2(o2(x,x),x)) true 59719 59719 0.00005888 0.5017 0.4622 0.3388 0.582 -1 1 2 1 4.671 0.02381 0.006912 0.1311 0.55 1 -0.0001794 0.008591 0.05234 0.01353 0.1163 0.8874 0.8147 0.09068 0.02536 1 1 0.04229 0.4029 0.5428 0.1248 1.189 1.602 json
t20_x46_u0_b153 20 46 0 153 sub(D,mlt(dst(R,P),D)) 168915 164270619 o2(x,o2(o2(x,x),x)) true 59727 59727 -0.0007418 0.4987 0.4939 0.3422 0.585 -1 1 2 1 4.916 0.04844 0.000248 0.1762 0.9898 1 0.00001342 0.009898 0.0751 0.01763 0.1328 0.7536 0.6405 0.1423 0.02893 1 1 0.05347 0.3848 0.05221 0.1563 1.125 0.1526 json
t20_x46_u0_b154 20 46 0 154 sub(D,div(add(R,P),D)) 168916 164270620 o2(x,o2(o2(x,x),x)) true 59735 59735 0.1075 0.5522 0.9656 0.9416 0.9704 -1 1 2 1 1.616 0.4043 0.002257 0.2412 0.9889 1 0.000001657 0.7544 0.4218 0.3486 0.5905 2.448 2.828 0.4318 0.8011 1 1 0.4277 1.757 0.4168 0.4542 1.865 0.4426 json
t20_x46_u0_b155 20 46 0 155 sub(D,div(sub(R,P),D)) 168917 164270621 o2(x,o2(o2(x,x),x)) true 59743 59743 -0.1087 0.447 0.9632 0.9388 0.9689 -1 1 2 1 1.633 0.4038 0.002311 0.2412 0.9886 1 -0.000003857 0.7545 0.4204 0.3481 0.59 2.446 2.828 0.4326 0.8037 1 1 0.4258 1.75 0.4152 0.4536 1.864 0.4423 json
t20_x46_u0_b156 20 46 0 156 sub(D,div(mlt(R,P),D)) 168918 164270622 o2(x,o2(o2(x,x),x)) true 59751 59751 0.01366 0.5077 0.8814 0.8517 0.9229 -1 1 2 1 2.395 0.2765 0.06358 0.229 0.6261 1 0.000002775 0.6799 0.3596 0.2878 0.5365 2.343 2.828 0.3993 0.7983 1 1 0.3639 1.534 1.522 0.4273 1.801 1.786 json
t20_x46_u0_b157 20 46 0 157 sub(D,div(div(R,P),D)) 168919 164270623 o2(x,o2(o2(x,x),x)) true 59759 59759 -0.1362 0.437 0.5516 0.4306 0.6562 -1 1 2 1 4.27 0.2016 0.01014 0.1994 0.9043 1 0.0005802 0.4639 0.2582 0.172 0.4147 2.08 2.828 0.4917 1.077 1 1 0.2156 0.6083 0.7919 0.5008 1.413 1.839 json
t20_x46_u0_b158 20 46 0 158 sub(D,div(pow(R,P),D)) 168920 164270624 o2(x,o2(o2(x,x),x)) true 59767 59767 -0.929 0.03667 0.994 0.1292 0.3594 -1 1 2 1 0.3211 0.02887 0.01195 0.02452 0.4143 1 -0.00000215 0.08645 0.04247 0.04021 0.2005 8.178 2.828 0.316 0.6692 1 1 0.04102 0.1582 0.2625 0.3175 1.225 2.032 json
t20_x46_u0_b159 20 46 0 159 sub(D,div(mod(R,P),D)) 168921 164270625 o2(x,o2(o2(x,x),x)) true 59775 59775 -0.1395 0.4299 0.824 0.7488 0.8653 -1 1 2 1 3.119 0.2232 0.02814 0.2101 0.7761 1 0.00005635 0.5004 0.2732 0.2071 0.4551 2.166 2.828 0.3357 0.6683 1 1 0.2709 1.159 1.292 0.3618 1.547 1.725 json
t20_x46_u0_b160 20 46 0 160 sub(D,div(lrg(R,P),D)) 168922 164270626 o2(x,o2(o2(x,x),x)) true 59783 59783 -0.04251 0.4674 0.5156 0.4561 0.6754 -1 1 2 1 3.183 0.1614 0.0004821 0.1422 0.994 1 0.0001589 0.2692 0.1698 0.1416 0.3764 2.647 2.002 0.3549 0.5903 1 1 0.1863 0.8357 0.1393 0.4085 1.832 0.3055 json
t20_x46_u0_b161 20 46 0 161 sub(D,div(eql(R,P),D)) 168923 164270627 o2(x,o2(o2(x,x),x)) true 59791 59791 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b162 20 46 0 162 sub(D,div(min(R,P),D)) 168924 164270628 o2(x,o2(o2(x,x),x)) true 59799 59799 0.0541 0.5296 0.8751 0.8343 0.9134 -1 1 2 1 2.595 0.326 0.01594 0.2374 0.9068 1 0.00007849 0.6536 0.3616 0.2857 0.5345 2.252 2.828 0.4099 0.7834 1 1 0.366 1.528 0.754 0.4386 1.831 0.9038 json
t20_x46_u0_b163 20 46 0 163 sub(D,div(dot(R,P),D)) 168925 164270629 o2(x,o2(o2(x,x),x)) true 59807 59807 -0.000729 0.4995 0.9498 0.934 0.9664 -1 1 2 1 1.79 0.3137 0.07917 0.2397 0.5969 1 -0.0000492 0.8084 0.4117 0.3353 0.579 2.415 2.828 0.4206 0.8655 1 1 0.4158 1.701 1.803 0.4452 1.822 1.931 json
t20_x46_u0_b164 20 46 0 164 sub(D,div(dst(R,P),D)) 168926 164270630 o2(x,o2(o2(x,x),x)) true 59815 59815 0.0001637 0.5 0.9885 0.9842 0.9921 -1 1 2 1 1.252 0.461 0.0002063 0.2463 0.9991 1 -7.509e-12 0.8933 0.4687 0.4005 0.6329 2.57 2.011 0.4687 0.9076 1 1 0.4692 1.925 0.03532 0.4767 1.956 0.03589 json
t20_x46_u0_b165 20 46 0 165 sub(D,pow(add(R,P),D)) 168927 164270631 o2(x,o2(o2(x,x),x)) true 59823 59823 -0.9895 0 0.9895 0.001721 0.04149 -1 -0.4226 0.5774 1 0.3613 0.0001498 0.00006684 0.004338 0.3829 1 0.0001467 0.0001949 0.003375 0.0001978 0.01406 3.242 0.4708 0.1258 0.1132 1 1 0.000387 0.002422 0.003192 0.2248 1.407 1.854 json
t20_x46_u0_b166 20 46 0 166 sub(D,pow(sub(R,P),D)) 168928 164270632 o2(x,o2(o2(x,x),x)) true 59831 59831 -0.9983 0 0.9983 0.0001059 0.01029 -1 -0.7251 0.2749 1 0.05832 0.00003814 0.00001122 0.001471 0.5456 0 2.706e-8 0.00007917 0.002078 0.00004719 0.006869 4.671 0.2749 0.4661 0.7475 1 1 0.00006859 0.0002254 0.0002606 0.6477 2.129 2.461 json
t20_x46_u0_b167 20 46 0 167 sub(D,pow(mlt(R,P),D)) 168929 164270633 o2(x,o2(o2(x,x),x)) true 59839 59839 -0.9899 0.004745 0.9904 0.008347 0.09136 -1 0.09522 1.095 1 0.191 0.001562 0.000679 0.003926 0.3939 1 -0.000005422 0.004192 0.005067 0.002225 0.04717 12.01 1.095 0.2684 0.5022 1 1 0.002406 0.01064 0.01645 0.2882 1.274 1.97 json
t20_x46_u0_b168 20 46 0 168 sub(D,pow(div(R,P),D)) 168930 164270634 o2(x,o2(o2(x,x),x)) true 59847 59847 -0.9976 0 0.9976 0.000569 0.02385 -1 -0.5426 0.4574 1 0.1191 0.0001412 0.00007491 0.001563 0.3068 1 -8.744e-8 0.0002943 0.001805 0.0002137 0.01462 9.356 0.4574 0.3799 0.5172 1 1 0.0002625 0.000919 0.001257 0.4613 1.615 2.209 json
t20_x46_u0_b169 20 46 0 169 sub(D,pow(pow(R,P),D)) 168931 164270635 o2(x,o2(o2(x,x),x)) true 59855 59855 -0.9979 0 0.9979 0.0006279 0.02506 -1 -0.151 0.849 1 0.1067 0.0001208 0.00009811 0.001341 0.1037 1 -1.535e-7 0.0003385 0.001606 0.0002172 0.01474 10.99 0.8494 0.3487 0.5391 1 1 0.00003888 0.0001278 0.0006161 0.06192 0.2036 0.9813 json
t20_x46_u0_b170 20 46 0 170 sub(D,pow(mod(R,P),D)) 168932 164270636 o2(x,o2(o2(x,x),x)) true 59863 59863 -0.9975 0 0.9975 0.0005843 0.02417 -1 -0.5144 0.4856 1 0.1253 0.00007176 0.00006324 0.001176 0.06307 1 -0.00002085 0.0001759 0.001202 0.0001336 0.01156 9.829 0.4856 0.231 0.301 1 1 0.0001703 0.0007551 0.001256 0.2915 1.292 2.15 json
t20_x46_u0_b171 20 46 0 171 sub(D,pow(lrg(R,P),D)) 168933 164270637 o2(x,o2(o2(x,x),x)) true 59871 59871 -0.9787 0 0.9787 0.001996 0.04468 -1 -0.8546 0.1454 1 0.8274 0.0003093 0.00000818 0.007932 0.9485 1 -0.0001582 0.0001509 0.005977 0.0002545 0.01595 2.011 0.1455 0.159 0.07559 1 1 0.0005351 0.002209 0.0005876 0.2681 1.107 0.2944 json
t20_x46_u0_b172 20 46 0 172 sub(D,pow(eql(R,P),D)) 168934 164270638 o2(x,o2(o2(x,x),x)) true 59879 59879 -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
t20_x46_u0_b173 20 46 0 173 sub(D,pow(min(R,P),D)) 168935 164270639 o2(x,o2(o2(x,x),x)) true 59887 59887 -0.9976 0.0009766 0.9977 0.001858 0.0431 -1 0.09291 1.093 1 0.05789 0.0003212 0.0002406 0.001007 0.1434 1 3.004e-11 0.001083 0.001325 0.0005609 0.02368 23.51 1.093 0.3025 0.5831 1 1 0.0000955 0.0006727 0.001691 0.0514 0.3621 0.9105 json
t20_x46_u0_b174 20 46 0 174 sub(D,pow(dot(R,P),D)) 168936 164270640 o2(x,o2(o2(x,x),x)) true 59895 59895 -0.997 0 0.997 0.0008107 0.02847 -1 -0.4535 0.5465 1 0.1316 0.00006085 0.00008616 0.001201 -0.1721 1 -0.000006627 0.0001958 0.001059 0.0001457 0.01207 10.05 0.5469 0.1813 0.2415 1 1 0.0002795 0.001477 0.002092 0.3447 1.822 2.581 json
t20_x46_u0_b175 20 46 0 175 sub(D,pow(dst(R,P),D)) 168937 164270641 o2(x,o2(o2(x,x),x)) true 59903 59903 -0.9937 0 0.9937 0.0004307 0.02075 -1 -0.6455 0.3545 1 0.1337 0.0001506 0.000004188 0.005073 0.9459 1 0.000189 0.0002414 0.00654 0.0001291 0.01136 2.239 0.09106 0.3594 0.5606 1 1 0.0001719 0.0007628 0.0009381 0.3992 1.771 2.178 json
t20_x46_u0_b176 20 46 0 176 sub(D,mod(add(R,P),D)) 168938 164270642 o2(x,o2(o2(x,x),x)) true 59911 59911 0.000143 0.5031 0.1608 0.04109 0.2027 -0.5414 0.5308 1.072 1 3.659 0.01023 0.00006172 0.08053 0.988 1 0.0001097 0.02296 0.1122 0.003802 0.06166 0.7657 0.4879 0.2503 0.5586 1 1 0.00933 0.03879 0.01595 0.227 0.9439 0.3882 json
t20_x46_u0_b177 20 46 0 177 sub(D,mod(sub(R,P),D)) 168939 164270643 o2(x,o2(o2(x,x),x)) true 59919 59919 -0.001709 0.4984 0.1556 0.03959 0.199 -0.5069 0.5288 1.036 1 3.635 0.01029 0.00006715 0.08063 0.987 1 -0.00003208 0.02334 0.1122 0.00386 0.06213 0.7705 0.4623 0.2617 0.5895 1 1 0.00942 0.0407 0.01685 0.2379 1.028 0.4255 json
t20_x46_u0_b178 20 46 0 178 sub(D,mod(mlt(R,P),D)) 168940 164270644 o2(x,o2(o2(x,x),x)) true 59927 59927 0.007615 0.5167 0.127 0.02579 0.1606 -0.5096 0.5102 1.02 1 3.407 0.009966 0.0002373 0.08009 0.9535 1 0.00002868 0.02421 0.1116 0.003789 0.06156 0.7686 0.4541 0.3957 0.9389 1 1 0.008311 0.03692 0.02775 0.3223 1.432 1.076 json
t20_x46_u0_b179 20 46 0 179 sub(D,mod(div(R,P),D)) 168941 164270645 o2(x,o2(o2(x,x),x)) true 59935 59935 -0.1217 0.4417 0.2201 0.1265 0.3557 -1 0.4722 1.472 1 3.319 0.01118 0.0001017 0.05086 0.982 1 -0.00006526 0.02056 0.05402 0.008695 0.09325 1.833 1.06 0.08919 0.1626 1 1 0.01521 0.06819 0.1874 0.1202 0.5391 1.482 json
t20_x46_u0_b180 20 46 0 180 sub(D,mod(pow(R,P),D)) 168942 164270646 o2(x,o2(o2(x,x),x)) true 59943 59943 -0.9359 0.02019 0.9377 0.05303 0.2303 -1 0.1407 1.141 1 0.6157 0.006843 0.004743 0.01697 0.1812 1 0.000009409 0.02482 0.03011 0.0113 0.1063 6.263 1.37 0.2185 0.468 1 1 0.01077 0.03903 0.1226 0.2031 0.7359 2.312 json
t20_x46_u0_b181 20 46 0 181 sub(D,mod(mod(R,P),D)) 168943 164270647 o2(x,o2(o2(x,x),x)) true 59951 59951 -0.1189 0.447 0.2355 0.1333 0.3651 -1 0.5115 1.511 1 3.514 0.01522 0.0001976 0.07316 0.9744 1 0.00001362 0.0316 0.1013 0.01006 0.1003 1.371 1.06 0.1156 0.237 1 1 0.0177 0.07504 0.2024 0.1328 0.5628 1.518 json
t20_x46_u0_b182 20 46 0 182 sub(D,mod(lrg(R,P),D)) 168944 164270648 o2(x,o2(o2(x,x),x)) true 59959 59959 -0.07778 0.3722 0.1311 0.02148 0.1466 -0.4378 0.1454 0.5832 1 3.169 0.003961 0.000003078 0.05115 0.9984 1 0.00001108 0.00496 0.04524 0.00135 0.03675 0.7184 0.2265 0.1845 0.2309 1 1 0.005447 0.03145 0.002885 0.2535 1.464 0.1343 json
t20_x46_u0_b183 20 46 0 183 sub(D,mod(eql(R,P),D)) 168945 164270649 o2(x,o2(o2(x,x),x)) true 59967 59967 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b184 20 46 0 184 sub(D,mod(min(R,P),D)) 168946 164270650 o2(x,o2(o2(x,x),x)) true 59975 59975 0.07951 0.6642 0.1434 0.02701 0.1643 -0.4995 0.5058 1.005 1 3.413 0.008889 0.0001093 0.07606 0.9757 1 0.00003607 0.01847 0.1015 0.003213 0.05668 0.7452 0.389 0.3331 0.6837 1 1 0.008783 0.03826 0.01601 0.3252 1.417 0.5929 json
t20_x46_u0_b185 20 46 0 185 sub(D,mod(dot(R,P),D)) 168947 164270651 o2(x,o2(o2(x,x),x)) true 59983 59983 0.00943 0.5168 0.1276 0.02634 0.1623 -0.5118 0.5164 1.028 1 3.415 0.01006 0.0002591 0.0806 0.9498 1 -0.0000819 0.02438 0.1138 0.003825 0.06185 0.7674 0.4897 0.3919 0.9258 1 1 0.008407 0.03806 0.02963 0.3192 1.445 1.125 json
t20_x46_u0_b186 20 46 0 186 sub(D,mod(dst(R,P),D)) 168948 164270652 o2(x,o2(o2(x,x),x)) true 59991 59991 -0.1433 0.246 0.1621 0.02168 0.1472 -0.5382 0.1416 0.6797 1 3.138 0.01091 0.00005587 0.08328 0.9898 1 0.0001816 0.02527 0.1176 0.004036 0.06353 0.7628 0.5201 0.506 1.166 1 1 0.009396 0.04096 0.007926 0.4334 1.889 0.3656 json
t20_x46_u0_b187 20 46 0 187 sub(D,lrg(add(R,P),D)) 168949 164270653 o2(x,o2(o2(x,x),x)) true 59999 59999 -0.4785 0.245 0.5219 0.2253 0.4747 -1 0.1454 1.145 1 3.195 0.003627 0.0001564 0.03633 0.9173 1 -0.0001492 0.004091 0.02179 0.002464 0.04964 1.366 0.9812 0.01679 0.01815 1 1 0.005833 0.03805 0.08297 0.02589 0.1689 0.3682 json
t20_x46_u0_b188 20 46 0 188 sub(D,lrg(sub(R,P),D)) 168950 164270654 o2(x,o2(o2(x,x),x)) true 60007 60007 -0.4802 0.2304 0.5229 0.2233 0.4725 -1 0.1454 1.145 1 3.202 0.003556 0.000164 0.03379 0.9118 1 0.000009559 0.004774 0.0215 0.002579 0.05078 1.503 1.001 0.01666 0.02138 1 1 0.005337 0.03333 0.08492 0.02391 0.1493 0.3804 json
t20_x46_u0_b189 20 46 0 189 sub(D,lrg(mlt(R,P),D)) 168951 164270655 o2(x,o2(o2(x,x),x)) true 60015 60015 -0.4654 0.17 0.4893 0.1591 0.3989 -1 0.1454 1.145 1 3.99 0.01284 0.002186 0.07579 0.709 1 -0.0000112 0.01816 0.04276 0.009281 0.09634 1.271 1.048 0.09443 0.1142 1 1 0.02405 0.1619 0.2635 0.1512 1.018 1.656 json
t20_x46_u0_b190 20 46 0 190 sub(D,lrg(div(R,P),D)) 168952 164270656 o2(x,o2(o2(x,x),x)) true 60023 60023 -0.4816 0.2227 0.5072 0.1751 0.4185 -1 0.1454 1.145 1 3.599 0.04552 0.001097 0.1241 0.953 1 0.000397 0.07139 0.1143 0.03121 0.1767 1.423 1.049 0.2662 0.4077 1 1 0.05434 0.2623 0.1843 0.3104 1.498 1.052 json
t20_x46_u0_b191 20 46 0 191 sub(D,lrg(pow(R,P),D)) 168953 164270657 o2(x,o2(o2(x,x),x)) true 60031 60031 -0.9019 0.01305 0.9031 0.03655 0.1912 -1 0.09672 1.097 1 1.997 0.008707 0.0004 0.03741 0.9121 1 -0.0001687 0.01429 0.03285 0.007708 0.08779 2.346 1.048 0.2492 0.391 1 1 0.009803 0.04523 0.03953 0.2682 1.238 1.082 json
t20_x46_u0_b192 20 46 0 192 sub(D,lrg(mod(R,P),D)) 168954 164270658 o2(x,o2(o2(x,x),x)) true 60039 60039 -0.5238 0.1412 0.541 0.1583 0.3979 -1 0.1454 1.145 1 3.87 0.02121 0.001988 0.09081 0.8286 1 -0.00003118 0.0351 0.07267 0.01495 0.1223 1.346 1.048 0.1465 0.2217 1 1 0.027 0.16 0.2546 0.1705 1.011 1.608 json
t20_x46_u0_b193 20 46 0 193 sub(D,lrg(lrg(R,P),D)) 168955 164270659 o2(x,o2(o2(x,x),x)) true 60047 60047 -0.7306 0.1455 0.7469 0.1518 0.3896 -1 0.09672 1.097 1 2.567 0.03671 0.000052 0.07538 0.9972 1 -0.0001554 0.06123 0.07892 0.03108 0.1763 2.339 1.031 0.2421 0.4034 1 1 0.04451 0.194 0.03948 0.2932 1.278 0.2601 json
t20_x46_u0_b194 20 46 0 194 sub(D,lrg(eql(R,P),D)) 168956 164270660 o2(x,o2(o2(x,x),x)) true 60055 60055 -0.4823 0.3125 0.5176 0.2029 0.4504 -1 0.09672 1.097 1 2.852 0.07311 0 0.1349 1 1 -0.00006836 0.122 0.1445 0.05491 0.2343 1.737 1.031 0.3604 0.6012 1 1 0.08612 0.3709 0 0.4245 1.828 0 json
t20_x46_u0_b195 20 46 0 195 sub(D,lrg(min(R,P),D)) 168957 164270661 o2(x,o2(o2(x,x),x)) true 60063 60063 -0.2426 0.3319 0.2979 0.1396 0.3736 -1 0.1454 1.145 1 3.754 0.01388 0.001066 0.07011 0.8574 1 -0.00005469 0.02153 0.05004 0.01003 0.1002 1.429 1.048 0.1071 0.1542 1 1 0.01868 0.1118 0.1522 0.1338 0.8011 1.09 json
t20_x46_u0_b196 20 46 0 196 sub(D,lrg(dot(R,P),D)) 168958 164270662 o2(x,o2(o2(x,x),x)) true 60071 60071 -0.4485 0.1739 0.4745 0.1577 0.3971 -1 0.1454 1.145 1 4.032 0.009041 0.002363 0.07216 0.5856 1 0.00002168 0.01159 0.03471 0.006199 0.07873 1.091 1.055 0.07232 0.07351 1 1 0.01985 0.152 0.2838 0.1259 0.9637 1.8 json
t20_x46_u0_b197 20 46 0 197 sub(D,lrg(dst(R,P),D)) 168959 164270663 o2(x,o2(o2(x,x),x)) true 60079 60079 -0.9529 0 0.9529 0.003191 0.05649 -1 -0.7498 0.2502 1 1.332 0.0007259 3.079e-7 0.01807 0.9992 1 -0.0001582 0.0003464 0.01341 0.0003995 0.01999 1.106 0.2502 0.2275 0.1086 1 1 0.001279 0.005472 0.00004367 0.4007 1.715 0.01368 json
t20_x46_u0_b198 20 46 0 198 sub(D,eql(add(R,P),D)) 168960 164270664 o2(x,o2(o2(x,x),x)) true 60087 60087 -0.000082 0.4998 0.09441 0.01085 0.1042 -0.5936 0.1454 0.739 1 2.563 0.001692 6.316e-7 0.03621 0.9993 1 -2.395e-7 0.0004407 0.01484 0.0003825 0.01956 0.5402 0.692 0.156 0.04061 1 1 0.003151 0.02183 0.00003293 0.2904 2.012 0.003034 json
t20_x46_u0_b199 20 46 0 199 sub(D,eql(sub(R,P),D)) 168961 164270665 o2(x,o2(o2(x,x),x)) true 60095 60095 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x46_u0_b200 20 46 0 200 sub(D,eql(mlt(R,P),D)) 168962 164270666 o2(x,o2(o2(x,x),x)) true 60103 60103 -0.00004008 0.4998 0.09437 0.01083 0.1041 -0.2502 0.1454 0.3957 1 2.562 0.001646 1.509e-7 0.03614 0.9998 1 -1.17e-7 0.0003003 0.01471 0.000341 0.01847 0.511 0.3588 0.1521 0.02773 1 1 0.003151 0.02183 0.000007865 0.291 2.016 0.0007264 json
t20_x47_u0_b0 20 47 0 0 add(D,add(add(R,P),R)) 168963 164310867 o2(x,o2(o2(x,x),x)) true 60111 60111 0.01259 0.5069 0.946 0.9267 0.9626 -1 1 2 1 1.899 0.002237 0.001447 0.01791 0.2146 1 -0.00004005 0.0008783 0.006876 0.003363 0.05799 3.238 0.4527 0.003975 0.0009478 1 1 0.008681 0.09525 0.3716 0.009368 0.1028 0.4011 json
t20_x47_u0_b1 20 47 0 1 add(D,add(sub(R,P),R)) 168964 164310868 o2(x,o2(o2(x,x),x)) true 60119 60119 0.009223 0.5072 0.939 0.9172 0.9577 -1 1 2 1 2 0.003142 0.001605 0.02127 0.3239 1 -0.0000321 0.001297 0.00911 0.004297 0.06555 3.081 0.6039 0.005176 0.001414 1 1 0.0111 0.1074 0.3615 0.0121 0.1171 0.3941 json
t20_x47_u0_b2 20 47 0 2 add(D,add(mlt(R,P),R)) 168965 164310869 o2(x,o2(o2(x,x),x)) true 60127 60127 -0.06416 0.4695 0.7295 0.6464 0.804 -1 1 2 1 3.782 0.01795 0.01982 0.09817 -0.04967 1 -0.0000457 0.02091 0.05202 0.02813 0.1677 1.709 1.662 0.05842 0.03235 1 1 0.05468 0.4774 1.033 0.08459 0.7385 1.598 json
t20_x47_u0_b3 20 47 0 3 add(D,add(div(R,P),R)) 168966 164310870 o2(x,o2(o2(x,x),x)) true 60135 60135 -0.1251 0.4174 0.4665 0.3135 0.5599 -1 1 2 1 4.689 0.01735 0.002949 0.07315 0.7095 1 0.00003441 0.02759 0.03606 0.01495 0.1223 1.672 2 0.06476 0.08801 1 1 0.02984 0.2155 0.5155 0.09519 0.6873 1.645 json
t20_x47_u0_b4 20 47 0 4 add(D,add(pow(R,P),R)) 168967 164310871 o2(x,o2(o2(x,x),x)) true 60143 60143 -0.8581 0.0741 0.9935 0.2539 0.5038 -1 1 2 1 0.4985 0.02271 0.02281 0.02475 -0.002179 1 0.000006122 0.09465 0.0477 0.04493 0.212 8.564 2.828 0.1793 0.3728 1 1 0.04352 0.1846 0.5889 0.1714 0.727 2.32 json
t20_x47_u0_b5 20 47 0 5 add(D,add(mod(R,P),R)) 168968 164310872 o2(x,o2(o2(x,x),x)) true 60151 60151 -0.1182 0.4324 0.6955 0.5817 0.7627 -1 1 2 1 4.146 0.0254 0.008503 0.09456 0.4984 1 0.00003719 0.03794 0.04697 0.02495 0.158 1.671 2.021 0.05828 0.06523 1 1 0.05175 0.413 0.9737 0.08896 0.7101 1.674 json
t20_x47_u0_b6 20 47 0 6 add(D,add(lrg(R,P),R)) 168969 164310873 o2(x,o2(o2(x,x),x)) true 60159 60159 0.3907 0.7216 0.6073 0.3316 0.5758 -1 1 2 1 4.287 0.003986 0.002517 0.05857 0.2259 1 0.00008278 0.0009531 0.01809 0.003073 0.05544 0.9465 0.3876 0.01961 0.002874 1 1 0.01342 0.1454 0.3458 0.04048 0.4385 1.043 json
t20_x47_u0_b7 20 47 0 7 add(D,add(eql(R,P),R)) 168970 164310874 o2(x,o2(o2(x,x),x)) true 60167 60167 0.009078 0.4986 0.4013 0.2304 0.48 -1 1 2 1 4.899 0.004471 0.003165 0.07546 0.1709 1 0.00002869 0.0006263 0.01935 0.001942 0.04407 0.584 0.2845 0.03314 0.002718 1 1 0.01508 0.1746 0.3904 0.06546 0.7577 1.694 json
t20_x47_u0_b8 20 47 0 8 add(D,add(min(R,P),R)) 168971 164310875 o2(x,o2(o2(x,x),x)) true 60175 60175 -0.4864 0.2432 0.7948 0.4906 0.7004 -1 1 2 1 3.161 0.00551 0.004806 0.05596 0.06823 1 0.00009308 0.001768 0.01733 0.007188 0.08479 1.515 0.4477 0.02103 0.003605 1 1 0.02053 0.2322 0.5923 0.04184 0.4734 1.207 json
t20_x47_u0_b9 20 47 0 9 add(D,add(dot(R,P),R)) 168972 164310876 o2(x,o2(o2(x,x),x)) true 60183 60183 -0.09371 0.4537 0.8444 0.7878 0.8876 -1 1 2 1 2.904 0.02546 0.03255 0.1028 -0.1222 1 0.00004019 0.04649 0.07516 0.04744 0.2178 2.119 1.856 0.07363 0.05901 1 1 0.07509 0.576 1.384 0.09532 0.7311 1.757 json
t20_x47_u0_b10 20 47 0 10 add(D,add(dst(R,P),R)) 168973 164310877 o2(x,o2(o2(x,x),x)) true 60191 60191 0.9981 1 0.9981 0.0008337 0.02887 0.2567 1 0.7433 1 0.06768 0.00004764 0.00004656 0.0007187 0.01151 0 -5.632e-12 0.00004758 0.000474 0.00009367 0.009678 13.47 0.2629 0.113 0.05708 1 1 0.000298 0.002162 0.00304 0.3575 2.593 3.646 json
t20_x47_u0_b11 20 47 0 11 add(D,sub(add(R,P),R)) 168974 164310878 o2(x,o2(o2(x,x),x)) true 60199 60199 0 0.5 0.9375 0.9165 0.9574 -1 1 2 1 1.979 0.0004883 0 0.007937 1 1 0 0.0000155 0.000496 0.0004253 0.02062 2.598 0.0625 0.0005327 0.00001691 1 1 0.001285 0.01928 0.2245 0.001402 0.02104 0.245 json
t20_x47_u0_b12 20 47 0 12 add(D,sub(sub(R,P),R)) 168975 164310879 o2(x,o2(o2(x,x),x)) true 60207 60207 0 0.5 0.9375 0.9252 0.9619 -1 1 2 1 1.774 0.001323 0 0.01101 1 1 0 0.0002527 0.005079 0.001202 0.03468 3.15 0.1713 0.00143 0.0002731 1 1 0.003342 0.0331 0.2361 0.003612 0.03578 0.2552 json
t20_x47_u0_b13 20 47 0 13 add(D,sub(mlt(R,P),R)) 168976 164310880 o2(x,o2(o2(x,x),x)) true 60215 60215 -0.06031 0.4639 0.7297 0.6481 0.8051 -1 1 2 1 3.749 0.01716 0.02 0.09475 -0.07646 1 -0.00003584 0.02145 0.0515 0.02819 0.1679 1.772 1.47 0.05733 0.0331 1 1 0.05267 0.4464 1.058 0.08127 0.6888 1.632 json
t20_x47_u0_b14 20 47 0 14 add(D,sub(div(R,P),R)) 168977 164310881 o2(x,o2(o2(x,x),x)) true 60223 60223 -0.129 0.4608 0.47 0.3186 0.5644 -1 1 2 1 4.657 0.01245 0.00313 0.06858 0.5983 1 -0.00006315 0.01821 0.03107 0.01088 0.1043 1.521 2.007 0.04892 0.05716 1 1 0.02457 0.1923 0.5256 0.07711 0.6038 1.65 json
t20_x47_u0_b15 20 47 0 15 add(D,sub(pow(R,P),R)) 168978 164310882 o2(x,o2(o2(x,x),x)) true 60231 60231 -0.8702 0.06506 0.9854 0.2239 0.4731 -1 1 2 1 0.5584 0.01965 0.01899 0.02319 0.01698 1 0.000009184 0.07982 0.0431 0.03808 0.1951 8.414 2.828 0.1726 0.3566 1 1 0.03943 0.1709 0.5505 0.1761 0.7634 2.459 json
t20_x47_u0_b16 20 47 0 16 add(D,sub(mod(R,P),R)) 168979 164310883 o2(x,o2(o2(x,x),x)) true 60239 60239 -0.125 0.4375 0.2076 0.1189 0.3448 -1 0.1454 1.145 1 2.785 0.009352 0 0.03917 1 1 9.386e-13 0.01611 0.02856 0.007817 0.08842 2.257 1.031 0.07868 0.1355 1 1 0.01311 0.05985 0.1702 0.1103 0.5035 1.432 json
t20_x47_u0_b17 20 47 0 17 add(D,sub(lrg(R,P),R)) 168980 164310884 o2(x,o2(o2(x,x),x)) true 60247 60247 0.4018 0.7764 0.5803 0.2826 0.5316 -1 1 2 1 4.387 0.003626 0.002281 0.05868 0.2277 1 0.00001656 0.0008062 0.01782 0.002465 0.04964 0.846 0.2495 0.02091 0.002853 1 1 0.01131 0.1213 0.2891 0.04003 0.4293 1.023 json
t20_x47_u0_b18 20 47 0 18 add(D,sub(eql(R,P),R)) 168981 164310885 o2(x,o2(o2(x,x),x)) true 60255 60255 -0.009165 0.5021 0.4005 0.2287 0.4782 -1 1 2 1 4.894 0.004393 0.003164 0.07461 0.1626 1 -0.00003074 0.0006179 0.01902 0.001989 0.0446 0.5978 0.2561 0.03305 0.002702 1 1 0.01479 0.1717 0.3901 0.06468 0.751 1.706 json
t20_x47_u0_b19 20 47 0 19 add(D,sub(min(R,P),R)) 168982 164310886 o2(x,o2(o2(x,x),x)) true 60263 60263 -0.4805 0.2349 0.5247 0.2396 0.4895 -1 0.1454 1.145 1 2.768 0.001053 0.0001322 0.02242 0.777 1 0.0001757 0.0001863 0.008251 0.0006828 0.02613 1.166 0.2077 0.004948 0.0007778 1 1 0.002405 0.02219 0.07661 0.01004 0.09262 0.3198 json
t20_x47_u0_b20 20 47 0 20 add(D,sub(dot(R,P),R)) 168983 164310887 o2(x,o2(o2(x,x),x)) true 60271 60271 -0.09495 0.4534 0.8471 0.7884 0.8879 -1 1 2 1 2.943 0.02503 0.0339 0.1053 -0.1507 1 -0.000001573 0.04753 0.07604 0.04783 0.2187 2.077 2.015 0.07474 0.06028 1 1 0.0758 0.5877 1.371 0.09614 0.7454 1.739 json
t20_x47_u0_b21 20 47 0 21 add(D,sub(dst(R,P),R)) 168984 164310888 o2(x,o2(o2(x,x),x)) true 60279 60279 0.9941 1 0.9941 0.00314 0.05603 0.02759 1 0.9724 1 0.1575 0.0001324 0.0000839 0.001709 0.2241 1 -5.632e-12 0.00008392 0.0009437 0.0002133 0.01461 8.547 0.2498 0.06888 0.02673 1 1 0.0007015 0.006053 0.009888 0.2234 1.928 3.149 json
t20_x47_u0_b22 20 47 0 22 add(D,mlt(add(R,P),R)) 168985 164310889 o2(x,o2(o2(x,x),x)) true 60287 60287 0.06062 0.5441 0.7439 0.6611 0.8131 -1 1 2 1 3.764 0.01706 0.01919 0.09545 -0.05875 1 -0.00008166 0.02002 0.05077 0.02714 0.1648 1.726 1.49 0.05483 0.03029 1 1 0.0513 0.4465 1.005 0.07761 0.6755 1.52 json
t20_x47_u0_b23 20 47 0 23 add(D,mlt(sub(R,P),R)) 168986 164310890 o2(x,o2(o2(x,x),x)) true 60295 60295 0.1854 0.6137 0.7358 0.6231 0.7893 -1 1 2 1 3.723 0.017 0.01924 0.09499 -0.06183 1 0.00001289 0.01991 0.051 0.02723 0.165 1.737 1.408 0.05818 0.03196 1 1 0.05135 0.4419 1.004 0.08242 0.7092 1.612 json
t20_x47_u0_b24 20 47 0 24 add(D,mlt(mlt(R,P),R)) 168987 164310891 o2(x,o2(o2(x,x),x)) true 60303 60303 0.0004601 0.5051 0.6754 0.5836 0.764 -1 1 2 1 4.035 0.002652 0.00243 0.0425 0.04361 1 0.00006986 0.001821 0.01835 0.003275 0.05723 1.347 0.4418 0.008707 0.003121 1 1 0.008241 0.07852 0.2332 0.01412 0.1345 0.3995 json
t20_x47_u0_b25 20 47 0 25 add(D,mlt(div(R,P),R)) 168988 164310892 o2(x,o2(o2(x,x),x)) true 60311 60311 -0.1269 0.4346 0.2515 0.1433 0.3786 -1 0.9923 1.992 1 3.704 0.01174 0.00009719 0.04279 0.9836 1 0.000005641 0.02007 0.02949 0.01001 0.1 2.337 1.921 0.08261 0.14 1 1 0.01623 0.07677 0.1952 0.1133 0.5357 1.362 json
t20_x47_u0_b26 20 47 0 26 add(D,mlt(pow(R,P),R)) 168989 164310893 o2(x,o2(o2(x,x),x)) true 60319 60319 -0.8853 0.05917 0.9769 0.1863 0.4317 -1 1 2 1 0.634 0.01886 0.01724 0.02304 0.04488 1 0.0000117 0.07482 0.04062 0.03555 0.1886 8.182 2.828 0.1938 0.4016 1 1 0.03447 0.1485 0.4107 0.185 0.7972 2.204 json
t20_x47_u0_b27 20 47 0 27 add(D,mlt(mod(R,P),R)) 168990 164310894 o2(x,o2(o2(x,x),x)) true 60327 60327 0.1768 0.7984 0.4349 0.2586 0.5085 -1 1 2 1 4.064 0.01748 0.0007107 0.05382 0.9219 1 -0.000001725 0.03115 0.03502 0.01529 0.1237 2.298 1.949 0.07035 0.1205 1 1 0.02295 0.1197 0.3844 0.08874 0.4629 1.486 json
t20_x47_u0_b28 20 47 0 28 add(D,mlt(lrg(R,P),R)) 168991 164310895 o2(x,o2(o2(x,x),x)) true 60335 60335 0.03489 0.524 0.2509 0.1224 0.3499 -1 1 2 1 4.287 0.002916 0.001638 0.05535 0.2808 1 0.00003102 0.0004356 0.01694 0.001491 0.03862 0.6977 0.2845 0.0372 0.003559 1 1 0.008851 0.09399 0.1892 0.07231 0.7678 1.546 json
t20_x47_u0_b29 20 47 0 29 add(D,mlt(eql(R,P),R)) 168992 164310896 o2(x,o2(o2(x,x),x)) true 60343 60343 0 0.5 0.09436 0.01082 0.104 -0.1454 0.1454 0.2908 1 2.561 0.001632 0 0.0361 1 1 0 0.0002563 0.01459 0.0003304 0.01818 0.5036 0.06192 0.1508 0.02368 1 1 0.003151 0.02183 0 0.2912 2.017 0 json
t20_x47_u0_b30 20 47 0 30 add(D,mlt(min(R,P),R)) 168993 164310897 o2(x,o2(o2(x,x),x)) true 60351 60351 0.1394 0.6968 0.5417 0.3993 0.6319 -1 1 2 1 4.363 0.00932 0.0106 0.07182 -0.06443 1 0.0001161 0.01038 0.03268 0.01477 0.1215 1.692 1.303 0.0499 0.026 1 1 0.02995 0.2555 0.5492 0.07502 0.6398 1.376 json
t20_x47_u0_b31 20 47 0 31 add(D,mlt(dot(R,P),R)) 168994 164310898 o2(x,o2(o2(x,x),x)) true 60359 60359 0.04221 0.513 0.7406 0.6661 0.8161 -1 1 2 1 3.642 0.007848 0.006633 0.06193 0.08388 1 -0.000009658 0.006157 0.03043 0.01065 0.1032 1.666 1.166 0.02174 0.009244 1 1 0.02066 0.1996 0.5062 0.03102 0.2996 0.76 json
t20_x47_u0_b32 20 47 0 32 add(D,mlt(dst(R,P),R)) 168995 164310899 o2(x,o2(o2(x,x),x)) true 60367 60367 -0.0103 0.4958 0.8637 0.8191 0.905 -1 1 2 1 2.798 0.0267 0.03048 0.1033 -0.06607 1 0.00007223 0.04306 0.07329 0.04649 0.2156 2.087 1.931 0.0698 0.05256 1 1 0.0791 0.6154 1.393 0.09657 0.7514 1.701 json
t20_x47_u0_b33 20 47 0 33 add(D,div(add(R,P),R)) 168996 164310900 o2(x,o2(o2(x,x),x)) true 60375 60375 0.07923 0.5416 0.952 0.9292 0.9639 -1 1 2 1 1.804 0.06465 0.07874 0.1101 -0.09826 1 -0.00007381 0.2849 0.1599 0.1313 0.3623 3.29 2.828 0.1543 0.3066 1 1 0.162 0.8303 1.835 0.1743 0.8936 1.975 json
t20_x47_u0_b34 20 47 0 34 add(D,div(sub(R,P),R)) 168997 164310901 o2(x,o2(o2(x,x),x)) true 60383 60383 0.1676 0.5833 0.9497 0.9043 0.9509 -1 1 2 1 1.819 0.06496 0.07989 0.1106 -0.1031 1 -0.000003417 0.2891 0.1614 0.1326 0.3642 3.293 2.828 0.1602 0.3197 1 1 0.1619 0.823 1.813 0.179 0.9101 2.004 json
t20_x47_u0_b35 20 47 0 35 add(D,div(mlt(R,P),R)) 168998 164310902 o2(x,o2(o2(x,x),x)) true 60391 60391 0 0.5 0.9375 0.9165 0.9574 -1 1 2 1 1.979 0.0004883 1.105e-17 0.007937 1 1 -3.51e-10 0.0000155 0.000496 0.0004253 0.02062 2.598 0.0625 0.0005327 0.00001691 1 1 0.001285 0.01928 0.2245 0.001402 0.02104 0.2449 json
t20_x47_u0_b36 20 47 0 36 add(D,div(div(R,P),R)) 168999 164310903 o2(x,o2(o2(x,x),x)) true 60399 60399 -0.125 0.4375 0.3917 0.2433 0.4932 -1 1 2 1 4.346 0.01777 1.474e-17 0.04264 1 1 3.27e-9 0.03206 0.02974 0.01595 0.1263 2.963 2 0.07305 0.1318 1 1 0.02482 0.1101 0.2567 0.102 0.4525 1.055 json