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_x1_u0_b183 20 1 0 183 sub(P,mod(eql(P,P),D)) 159900 162452604 o2(x,o2(o2(x,x),x)) true 159207 159207 -0.0196 0.4805 0.9375 0.9235 0.961 -1 1 2 1 1.767 0.001215 0 0.01013 1 1 -1.301e-9 0.001069 0.009733 0.001112 0.03335 3.291 0.2323 0.001316 0.001158 1 1 0.002514 0.0271 0.2345 0.002723 0.02935 0.254 json
t20_x1_u0_b184 20 1 0 184 sub(P,mod(min(P,P),D)) 159901 162452605 o2(x,o2(o2(x,x),x)) true 159215 159215 0 0.5 0.9256 0.9089 0.9534 -1 1 2 1 1.93 0.001277 0 0.009587 1 1 0 0.001739 0.01148 0.001184 0.03442 3.59 0.289 0.001404 0.001913 1 1 0.002233 0.02252 0.2147 0.002457 0.02478 0.2362 json
t20_x1_u0_b185 20 1 0 185 sub(P,mod(dot(P,P),D)) 159902 162452606 o2(x,o2(o2(x,x),x)) true 159223 159223 -0.01706 0.4849 0.9374 0.9239 0.9612 -1 1 2 1 1.806 0.001541 0.000007031 0.01095 0.9909 1 -7.823e-9 0.002047 0.0131 0.001428 0.03779 3.45 0.4155 0.001676 0.002215 1 1 0.002797 0.0269 0.2352 0.003028 0.02912 0.2546 json
t20_x1_u0_b186 20 1 0 186 sub(P,mod(dst(P,P),D)) 159903 162452607 o2(x,o2(o2(x,x),x)) true 159231 159231 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x1_u0_b187 20 1 0 187 sub(P,lrg(add(P,P),D)) 159904 162452608 o2(x,o2(o2(x,x),x)) true 159239 159239 -0.09375 0.4375 0.9063 0.89 0.9434 -1 1 2 1 1.621 0.004321 0 0.007937 1 1 -4.731e-10 0.007953 0.008864 0.004257 0.06525 8.221 1 0.004855 0.008935 1 1 0.006189 0.0332 0.2014 0.006953 0.0373 0.2263 json
t20_x1_u0_b188 20 1 0 188 sub(P,lrg(sub(P,P),D)) 159905 162452609 o2(x,o2(o2(x,x),x)) true 159247 159247 -0.0625 0.4375 0.9375 0.9336 0.9662 -1 1 2 1 1.272 0.007937 0 0.007937 1 1 0 0.01587 0.01587 0.007872 0.08872 11.18 1 0.008501 0.017 1 1 0.01053 0.04211 0.2526 0.01128 0.0451 0.2706 json
t20_x1_u0_b189 20 1 0 189 sub(P,lrg(mlt(P,P),D)) 159906 162452610 o2(x,o2(o2(x,x),x)) true 159255 159255 -0.09375 0.4375 0.9063 0.89 0.9434 -1 1 2 1 1.621 0.004321 0 0.007937 1 1 -4.731e-10 0.007953 0.008864 0.004257 0.06525 8.221 1 0.004855 0.008935 1 1 0.006189 0.0332 0.2014 0.006953 0.0373 0.2263 json
t20_x1_u0_b190 20 1 0 190 sub(P,lrg(div(P,P),D)) 159907 162452611 o2(x,o2(o2(x,x),x)) true 159263 159263 -0.125 0.4375 0.9375 0.9084 0.9531 -1 1 2 1 1.8 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007771 0.00003562 1 1 0.001851 0.02449 0.2344 0.002038 0.02696 0.2581 json
t20_x1_u0_b191 20 1 0 191 sub(P,lrg(pow(P,P),D)) 159908 162452612 o2(x,o2(o2(x,x),x)) true 159271 159271 -0.125 0.4375 0.9375 0.9084 0.9531 -1 1 2 1 1.8 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007771 0.00003562 1 1 0.001851 0.02449 0.2344 0.002038 0.02696 0.2581 json
t20_x1_u0_b192 20 1 0 192 sub(P,lrg(mod(P,P),D)) 159909 162452613 o2(x,o2(o2(x,x),x)) true 159279 159279 -0.09375 0.4375 0.9688 0.9525 0.976 -1 1 2 1 1.404 0.004323 0 0.007937 1 1 0 0.007903 0.008812 0.004259 0.06526 8.223 1 0.004539 0.008297 1 1 0.006228 0.03975 0.2856 0.006538 0.04173 0.2999 json
t20_x1_u0_b193 20 1 0 193 sub(P,lrg(lrg(P,P),D)) 159910 162452614 o2(x,o2(o2(x,x),x)) true 159287 159287 -0.0625 0.4375 0.9375 0.9336 0.9662 -1 1 2 1 1.272 0.007937 0 0.007937 1 1 0 0.01587 0.01587 0.007872 0.08872 11.18 1 0.008501 0.017 1 1 0.01053 0.04211 0.2526 0.01128 0.0451 0.2706 json
t20_x1_u0_b194 20 1 0 194 sub(P,lrg(eql(P,P),D)) 159911 162452615 o2(x,o2(o2(x,x),x)) true 159295 159295 -0.125 0.4375 0.9375 0.9084 0.9531 -1 1 2 1 1.8 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007771 0.00003562 1 1 0.001851 0.02449 0.2344 0.002038 0.02696 0.2581 json
t20_x1_u0_b195 20 1 0 195 sub(P,lrg(min(P,P),D)) 159912 162452616 o2(x,o2(o2(x,x),x)) true 159303 159303 -0.09375 0.4375 0.9063 0.89 0.9434 -1 1 2 1 1.621 0.004321 0 0.007937 1 1 -4.731e-10 0.007953 0.008864 0.004257 0.06525 8.221 1 0.004855 0.008935 1 1 0.006189 0.0332 0.2014 0.006953 0.0373 0.2263 json
t20_x1_u0_b196 20 1 0 196 sub(P,lrg(dot(P,P),D)) 159913 162452617 o2(x,o2(o2(x,x),x)) true 159311 159311 -0.123 0.4375 0.9355 0.9074 0.9525 -1 1 2 1 1.81 0.0008761 0.00001756 0.0081 0.9607 1 -6.253e-11 0.0004322 0.002332 0.0008276 0.02877 3.552 0.9997 0.0009849 0.0004763 1 1 0.002165 0.02553 0.2332 0.002386 0.02814 0.257 json
t20_x1_u0_b197 20 1 0 197 sub(P,lrg(dst(P,P),D)) 159914 162452618 o2(x,o2(o2(x,x),x)) true 159319 159319 -0.0625 0.4375 0.9375 0.9336 0.9662 -1 1 2 1 1.272 0.007937 0 0.007937 1 1 0 0.01587 0.01587 0.007872 0.08872 11.18 1 0.008501 0.017 1 1 0.01053 0.04211 0.2526 0.01128 0.0451 0.2706 json
t20_x1_u0_b198 20 1 0 198 sub(P,eql(add(P,P),D)) 159915 162452619 o2(x,o2(o2(x,x),x)) true 159327 159327 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x1_u0_b199 20 1 0 199 sub(P,eql(sub(P,P),D)) 159916 162452620 o2(x,o2(o2(x,x),x)) true 159335 159335 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x1_u0_b200 20 1 0 200 sub(P,eql(mlt(P,P),D)) 159917 162452621 o2(x,o2(o2(x,x),x)) true 159343 159343 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b0 20 2 0 0 add(P,add(add(P,P),R)) 159918 162492822 o2(x,o2(o2(x,x),x)) true 159351 159351 -0.004856 0.4971 0.9763 0.9675 0.9836 -1 1 2 1 1.449 0.002005 0.0001438 0.008629 0.8661 1 -0.000004683 0.0006832 0.004537 0.002075 0.04556 5.279 0.4798 0.002221 0.0007062 1 1 0.005323 0.05054 0.3154 0.005501 0.05223 0.326 json
t20_x2_u0_b1 20 2 0 1 add(P,add(sub(P,P),R)) 159919 162492823 o2(x,o2(o2(x,x),x)) true 159359 159359 0.003757 0.4974 0.9428 0.9208 0.9596 -1 1 2 1 1.952 0.001169 0.000358 0.0111 0.5311 1 -0.00002042 0.0002765 0.003741 0.001403 0.03746 3.374 0.312 0.001658 0.0003002 1 1 0.003726 0.04331 0.2691 0.004046 0.04703 0.2923 json
t20_x2_u0_b2 20 2 0 2 add(P,add(mlt(P,P),R)) 159920 162492824 o2(x,o2(o2(x,x),x)) true 159367 159367 0.893 0.949 0.9331 0.1132 0.3365 -0.9969 1 1.997 1 1.118 0.001739 0.0003945 0.01289 0.6302 1 -0.00002463 0.0004143 0.0045 0.001969 0.04437 3.443 0.4156 0.01884 0.003658 1 1 0.005146 0.05569 0.2048 0.04544 0.4918 1.808 json
t20_x2_u0_b3 20 2 0 3 add(P,add(div(P,P),R)) 159921 162492825 o2(x,o2(o2(x,x),x)) true 159375 159375 -0.0837 0.4525 0.9704 0.9543 0.9769 -1 1 2 1 1.491 0.02278 0.00022 0.01837 0.9809 1 -0.000005759 0.04457 0.02697 0.02268 0.1506 8.199 2 0.0241 0.04671 1 1 0.03057 0.1274 0.4142 0.03204 0.1335 0.4341 json
t20_x2_u0_b4 20 2 0 4 add(P,add(pow(P,P),R)) 159922 162492826 o2(x,o2(o2(x,x),x)) true 159383 159383 -0.006063 0.5 0.9939 0.9912 0.9956 -1 1 2 1 1.139 0.01174 0.00003847 0.008167 0.9935 1 -0.000004333 0.02315 0.0141 0.01171 0.1082 13.25 2 0.01189 0.02336 1 1 0.01625 0.07474 0.3288 0.0164 0.0754 0.3317 json
t20_x2_u0_b5 20 2 0 5 add(P,add(mod(P,P),R)) 159923 162492827 o2(x,o2(o2(x,x),x)) true 159391 159391 -0.1213 0.4375 0.992 0.9739 0.9869 -1 1 2 1 1.199 0.0153 0.0000739 0.01075 0.9904 1 -0.000007567 0.03034 0.0185 0.01526 0.1235 11.5 2 0.01578 0.03116 1 1 0.02016 0.08452 0.3399 0.0207 0.08678 0.349 json
t20_x2_u0_b6 20 2 0 6 add(P,add(lrg(P,P),R)) 159924 162492828 o2(x,o2(o2(x,x),x)) true 159399 159399 0.003757 0.4974 0.9428 0.9208 0.9596 -1 1 2 1 1.952 0.001169 0.000358 0.0111 0.5311 1 -0.00002042 0.0002765 0.003741 0.001403 0.03746 3.374 0.312 0.001658 0.0003002 1 1 0.003726 0.04331 0.2691 0.004046 0.04703 0.2923 json
t20_x2_u0_b7 20 2 0 7 add(P,add(eql(P,P),R)) 159925 162492829 o2(x,o2(o2(x,x),x)) true 159407 159407 0.1255 0.5668 0.9355 0.8987 0.948 -1 1 2 1 1.952 0.001079 0.0004194 0.01134 0.4404 1 -0.00002108 0.0002783 0.003845 0.001371 0.03702 3.266 0.2958 0.001668 0.0003097 1 1 0.003527 0.03939 0.2567 0.003925 0.04383 0.2856 json
t20_x2_u0_b8 20 2 0 8 add(P,add(min(P,P),R)) 159926 162492830 o2(x,o2(o2(x,x),x)) true 159415 159415 -0.004747 0.4969 0.9711 0.9603 0.9799 -1 1 2 1 1.54 0.001615 0.0001665 0.008829 0.8131 1 -0.000007571 0.0004 0.003603 0.001703 0.04126 4.674 0.4156 0.001855 0.0004165 1 1 0.004549 0.04762 0.3084 0.004737 0.04959 0.3212 json
t20_x2_u0_b9 20 2 0 9 add(P,add(dot(P,P),R)) 159927 162492831 o2(x,o2(o2(x,x),x)) true 159423 159423 0.995 0.9986 0.9956 0.003779 0.06147 -0.3377 1 1.338 1 0.1134 0.00009759 0.0001079 0.001273 -0.05001 1 -2.253e-11 0.00006633 0.0006073 0.000204 0.01428 11.22 0.2993 0.05437 0.01755 1 1 0.0006785 0.006719 0.0138 0.1796 1.778 3.652 json
t20_x2_u0_b10 20 2 0 10 add(P,add(dst(P,P),R)) 159928 162492832 o2(x,o2(o2(x,x),x)) true 159431 159431 0.003757 0.4974 0.9428 0.9208 0.9596 -1 1 2 1 1.952 0.001169 0.000358 0.0111 0.5311 1 -0.00002042 0.0002765 0.003741 0.001403 0.03746 3.374 0.312 0.001658 0.0003002 1 1 0.003726 0.04331 0.2691 0.004046 0.04703 0.2923 json
t20_x2_u0_b11 20 2 0 11 add(P,sub(add(P,P),R)) 159929 162492833 o2(x,o2(o2(x,x),x)) true 159439 159439 0.005046 0.5031 0.9759 0.967 0.9834 -1 1 2 1 1.455 0.001965 0.0001411 0.008622 0.866 1 0.000004855 0.0006376 0.004395 0.002032 0.04508 5.229 0.4984 0.002178 0.0006593 1 1 0.005243 0.05012 0.3147 0.005421 0.05183 0.3254 json
t20_x2_u0_b12 20 2 0 12 add(P,sub(sub(P,P),R)) 159930 162492834 o2(x,o2(o2(x,x),x)) true 159447 159447 -0.004612 0.5032 0.9368 0.913 0.9555 -1 1 2 1 2.013 0.001147 0.000385 0.01159 0.4976 1 0.00002051 0.0002745 0.003871 0.001399 0.0374 3.228 0.3332 0.001679 0.0003007 1 1 0.003782 0.0437 0.2627 0.004142 0.04787 0.2877 json
t20_x2_u0_b13 20 2 0 13 add(P,sub(mlt(P,P),R)) 159931 162492835 o2(x,o2(o2(x,x),x)) true 159455 159455 0.8903 0.9489 0.9322 0.1166 0.3415 -0.8975 1 1.897 1 1.13 0.001777 0.0003866 0.01315 0.6427 1 0.00001708 0.0004144 0.004457 0.001992 0.04463 3.395 0.3999 0.01855 0.003552 1 1 0.00525 0.0574 0.2165 0.04501 0.4921 1.856 json
t20_x2_u0_b14 20 2 0 14 add(P,sub(div(P,P),R)) 159932 162492836 o2(x,o2(o2(x,x),x)) true 159463 159463 -0.08382 0.4494 0.9652 0.9467 0.973 -1 1 2 1 1.573 0.01995 0.000222 0.01637 0.978 1 0.00000654 0.03936 0.02431 0.01989 0.141 8.615 2 0.0213 0.04158 1 1 0.0274 0.1138 0.4011 0.02895 0.1202 0.4236 json
t20_x2_u0_b15 20 2 0 15 add(P,sub(pow(P,P),R)) 159933 162492837 o2(x,o2(o2(x,x),x)) true 159471 159471 -0.003936 0.5 0.9961 0.9939 0.9969 -1 1 2 1 1.112 0.01322 0.00002315 0.00812 0.9965 1 -3.754e-11 0.02628 0.01476 0.01317 0.1148 14.13 2 0.01332 0.02644 1 1 0.01752 0.0765 0.3309 0.01763 0.07697 0.333 json
t20_x2_u0_b16 20 2 0 16 add(P,sub(mod(P,P),R)) 159934 162492838 o2(x,o2(o2(x,x),x)) true 159479 159479 -0.1288 0.4375 0.9898 0.9681 0.9839 -1 1 2 1 1.242 0.01149 0.00009029 0.009581 0.9844 1 0.000006904 0.02258 0.01532 0.01149 0.1072 11.19 2 0.01196 0.02332 1 1 0.01663 0.07631 0.3312 0.01718 0.07882 0.3421 json
t20_x2_u0_b17 20 2 0 17 add(P,sub(lrg(P,P),R)) 159935 162492839 o2(x,o2(o2(x,x),x)) true 159487 159487 -0.004612 0.5032 0.9368 0.913 0.9555 -1 1 2 1 2.013 0.001147 0.000385 0.01159 0.4976 1 0.00002051 0.0002745 0.003871 0.001399 0.0374 3.228 0.3332 0.001679 0.0003007 1 1 0.003782 0.0437 0.2627 0.004142 0.04787 0.2877 json
t20_x2_u0_b18 20 2 0 18 add(P,sub(eql(P,P),R)) 159936 162492840 o2(x,o2(o2(x,x),x)) true 159495 159495 0.1242 0.5606 0.9344 0.8965 0.9468 -1 1 2 1 1.995 0.001024 0.0003935 0.0111 0.4448 1 0.00001213 0.0002633 0.003756 0.001294 0.03597 3.242 0.3332 0.001581 0.0002937 1 1 0.003267 0.0363 0.2529 0.003644 0.04049 0.2821 json
t20_x2_u0_b19 20 2 0 19 add(P,sub(min(P,P),R)) 159937 162492841 o2(x,o2(o2(x,x),x)) true 159503 159503 0.004943 0.5032 0.9704 0.9591 0.9793 -1 1 2 1 1.558 0.001572 0.0001649 0.008819 0.8102 1 0.00000868 0.0003768 0.003457 0.001658 0.04072 4.618 0.4362 0.001811 0.0003929 1 1 0.004468 0.04707 0.3072 0.004659 0.04907 0.3203 json
t20_x2_u0_b20 20 2 0 20 add(P,sub(dot(P,P),R)) 159938 162492842 o2(x,o2(o2(x,x),x)) true 159511 159511 0.989 0.9967 0.9917 0.01052 0.1026 -0.8288 1 1.829 1 0.1864 0.0002007 0.0001596 0.00203 0.1138 1 -3.379e-11 0.0001073 0.0009802 0.000356 0.01887 9.293 0.3519 0.03426 0.0102 1 1 0.001188 0.01202 0.03791 0.113 1.142 3.605 json
t20_x2_u0_b21 20 2 0 21 add(P,sub(dst(P,P),R)) 159939 162492843 o2(x,o2(o2(x,x),x)) true 159519 159519 -0.004612 0.5032 0.9368 0.913 0.9555 -1 1 2 1 2.013 0.001147 0.000385 0.01159 0.4976 1 0.00002051 0.0002745 0.003871 0.001399 0.0374 3.228 0.3332 0.001679 0.0003007 1 1 0.003782 0.0437 0.2627 0.004142 0.04787 0.2877 json
t20_x2_u0_b22 20 2 0 22 add(P,mlt(add(P,P),R)) 159940 162492844 o2(x,o2(o2(x,x),x)) true 159527 159527 -0.006619 0.4967 0.8649 0.8304 0.9113 -1 1 2 1 2.598 0.01584 0.01988 0.06319 -0.1129 1 -0.00006359 0.03341 0.04962 0.03173 0.1781 2.819 2 0.04301 0.04023 1 1 0.04985 0.3388 0.7955 0.06003 0.408 0.958 json
t20_x2_u0_b23 20 2 0 23 add(P,mlt(sub(P,P),R)) 159941 162492845 o2(x,o2(o2(x,x),x)) true 159535 159535 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b24 20 2 0 24 add(P,mlt(mlt(P,P),R)) 159942 162492846 o2(x,o2(o2(x,x),x)) true 159543 159543 0.02877 0.5102 0.8707 0.837 0.9149 -1 1 2 1 2.529 0.04393 0.05615 0.09308 -0.1221 1 -0.00004547 0.1886 0.1158 0.0914 0.3023 3.248 2.828 0.1196 0.2253 1 1 0.09739 0.5401 1.146 0.1164 0.6452 1.369 json
t20_x2_u0_b25 20 2 0 25 add(P,mlt(div(P,P),R)) 159943 162492847 o2(x,o2(o2(x,x),x)) true 159551 159551 -0.1213 0.4375 0.992 0.9739 0.9869 -1 1 2 1 1.199 0.0153 0.0000739 0.01075 0.9904 1 -0.000007567 0.03034 0.0185 0.01526 0.1235 11.5 2 0.01578 0.03116 1 1 0.02016 0.08452 0.3399 0.0207 0.08678 0.349 json
t20_x2_u0_b26 20 2 0 26 add(P,mlt(pow(P,P),R)) 159944 162492848 o2(x,o2(o2(x,x),x)) true 159559 159559 -0.4423 0.284 0.9611 0.7515 0.8669 -1 1 2 1 1.505 0.04303 0.04489 0.05703 -0.02108 1 0.00001242 0.2082 0.09432 0.08468 0.291 5.102 2.828 0.117 0.2771 1 1 0.07607 0.3745 0.9353 0.1012 0.4984 1.245 json
t20_x2_u0_b27 20 2 0 27 add(P,mlt(mod(P,P),R)) 159945 162492849 o2(x,o2(o2(x,x),x)) true 159567 159567 -0.1265 0.4375 0.9957 0.9771 0.9885 -1 1 2 1 1.132 0.01598 0.0002079 0.009806 0.9743 1 -6.382e-11 0.032 0.01761 0.0161 0.1269 12.94 2 0.01657 0.03275 1 1 0.02114 0.08462 0.3379 0.02163 0.0866 0.3458 json
t20_x2_u0_b28 20 2 0 28 add(P,mlt(lrg(P,P),R)) 159946 162492850 o2(x,o2(o2(x,x),x)) true 159575 159575 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b29 20 2 0 29 add(P,mlt(eql(P,P),R)) 159947 162492851 o2(x,o2(o2(x,x),x)) true 159583 159583 0.003757 0.4974 0.9428 0.9208 0.9596 -1 1 2 1 1.952 0.001169 0.000358 0.0111 0.5311 1 -0.00002042 0.0002765 0.003741 0.001403 0.03746 3.374 0.312 0.001658 0.0003002 1 1 0.003726 0.04331 0.2691 0.004046 0.04703 0.2923 json
t20_x2_u0_b30 20 2 0 30 add(P,mlt(min(P,P),R)) 159948 162492852 o2(x,o2(o2(x,x),x)) true 159591 159591 0.007116 0.4999 0.9094 0.8829 0.9396 -1 1 2 1 2.289 0.001256 0.0008476 0.01542 0.194 1 -0.00001882 0.0008758 0.007971 0.001865 0.04319 2.801 0.4797 0.002382 0.0009919 1 1 0.003995 0.03802 0.2388 0.004525 0.04307 0.2705 json
t20_x2_u0_b31 20 2 0 31 add(P,mlt(dot(P,P),R)) 159949 162492853 o2(x,o2(o2(x,x),x)) true 159599 159599 -0.02453 0.4881 0.9598 0.9468 0.973 -1 1 2 1 1.654 0.07016 0.08488 0.1066 -0.09498 1 0.0001596 0.3361 0.1684 0.1437 0.379 3.556 2.828 0.1638 0.355 1 1 0.1516 0.7574 1.588 0.1601 0.8 1.677 json
t20_x2_u0_b32 20 2 0 32 add(P,mlt(dst(P,P),R)) 159950 162492854 o2(x,o2(o2(x,x),x)) true 159607 159607 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b33 20 2 0 33 add(P,div(add(P,P),R)) 159951 162492855 o2(x,o2(o2(x,x),x)) true 159615 159615 -0.03367 0.4841 0.9503 0.9389 0.969 -1 1 2 1 1.654 0.07929 0.09824 0.1161 -0.1068 1 -0.000004757 0.4032 0.1923 0.1641 0.4051 3.489 2.828 0.1891 0.4294 1 1 0.1936 0.9052 1.952 0.2062 0.9641 2.079 json
t20_x2_u0_b34 20 2 0 34 add(P,div(sub(P,P),R)) 159952 162492856 o2(x,o2(o2(x,x),x)) true 159623 159623 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b35 20 2 0 35 add(P,div(mlt(P,P),R)) 159953 162492857 o2(x,o2(o2(x,x),x)) true 159631 159631 -0.05524 0.477 0.9348 0.9188 0.9585 -1 1 2 1 1.77 0.08613 0.1047 0.115 -0.09716 1 0.000004049 0.4713 0.2017 0.1777 0.4215 3.666 2.828 0.2077 0.5129 1 1 0.1928 0.8615 1.78 0.2098 0.9376 1.938 json
t20_x2_u0_b36 20 2 0 36 add(P,div(div(P,P),R)) 159954 162492858 o2(x,o2(o2(x,x),x)) true 159639 159639 -0.1776 0.4136 0.9496 0.9014 0.9494 -1 1 2 1 1.771 0.03632 0.0203 0.0572 0.283 1 0.0004432 0.09215 0.06757 0.05334 0.2309 4.038 2.828 0.06282 0.1022 1 1 0.07458 0.4074 0.9392 0.08274 0.4519 1.042 json
t20_x2_u0_b37 20 2 0 37 add(P,div(pow(P,P),R)) 159955 162492859 o2(x,o2(o2(x,x),x)) true 159647 159647 -0.5326 0.233 0.9858 0.6973 0.835 -1 1 2 1 1.066 0.05724 0.0579 0.0672 -0.005727 1 -0.00002476 0.2737 0.1187 0.1105 0.3325 4.947 2.828 0.1651 0.3925 1 1 0.1192 0.5516 1.085 0.171 0.791 1.556 json
t20_x2_u0_b38 20 2 0 38 add(P,div(mod(P,P),R)) 159956 162492860 o2(x,o2(o2(x,x),x)) true 159655 159655 -0.1746 0.4119 0.9766 0.9374 0.9682 -1 1 2 1 1.419 0.05635 0.03313 0.06831 0.2595 1 0.0001605 0.1651 0.09903 0.08484 0.2913 4.264 2.828 0.09546 0.1762 1 1 0.08571 0.4358 1.027 0.09143 0.4649 1.096 json
t20_x2_u0_b39 20 2 0 39 add(P,div(lrg(P,P),R)) 159957 162492861 o2(x,o2(o2(x,x),x)) true 159663 159663 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b40 20 2 0 40 add(P,div(eql(P,P),R)) 159958 162492862 o2(x,o2(o2(x,x),x)) true 159671 159671 -0.04841 0.478 0.9309 0.906 0.9518 -1 1 2 1 2.039 0.02413 0.02447 0.06312 -0.006998 1 0.0004322 0.06629 0.05987 0.04461 0.2112 3.346 2.828 0.05364 0.07317 1 1 0.07373 0.4749 1.034 0.08138 0.5242 1.141 json
t20_x2_u0_b41 20 2 0 41 add(P,div(min(P,P),R)) 159959 162492863 o2(x,o2(o2(x,x),x)) true 159679 159679 -0.03398 0.4839 0.9099 0.8865 0.9415 -1 1 2 1 2.167 0.05892 0.07033 0.1101 -0.08828 1 -0.00006825 0.2517 0.1495 0.1172 0.3423 3.108 2.828 0.1458 0.2839 1 1 0.1543 0.8205 1.813 0.174 0.9256 2.046 json
t20_x2_u0_b42 20 2 0 42 add(P,div(dot(P,P),R)) 159960 162492864 o2(x,o2(o2(x,x),x)) true 159687 159687 -0.06063 0.4691 0.9906 0.9841 0.992 -1 1 2 1 1.19 0.1058 0.1233 0.1202 -0.07626 1 -0.00006883 0.5951 0.2346 0.2148 0.4635 3.855 2.828 0.2329 0.6047 1 1 0.2305 0.9799 1.945 0.2343 0.9957 1.977 json
t20_x2_u0_b43 20 2 0 43 add(P,div(dst(P,P),R)) 159961 162492865 o2(x,o2(o2(x,x),x)) true 159695 159695 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b44 20 2 0 44 add(P,pow(add(P,P),R)) 159962 162492866 o2(x,o2(o2(x,x),x)) true 159703 159703 -0.09886 0.4531 0.9949 0.9843 0.9921 -1 1 2 1 1.072 0.01303 0.004438 0.01036 0.4919 1 -3.004e-11 0.03557 0.01932 0.01737 0.1318 12.73 2.828 0.01775 0.03614 1 1 0.02404 0.1019 0.4005 0.02442 0.1035 0.4069 json
t20_x2_u0_b45 20 2 0 45 add(P,pow(sub(P,P),R)) 159963 162492867 o2(x,o2(o2(x,x),x)) true 159711 159711 -0.8672 0.06641 0.9961 0.2432 0.4931 -1 1 2 1 0.4225 0.03028 0.03113 0.03117 -0.01391 1 3.754e-12 0.1303 0.06208 0.06044 0.2459 7.887 2.828 0.2525 0.5359 1 1 0.05907 0.2433 0.4885 0.2429 1 2.009 json
t20_x2_u0_b46 20 2 0 46 add(P,pow(mlt(P,P),R)) 159964 162492868 o2(x,o2(o2(x,x),x)) true 159719 159719 0.2168 0.5932 0.9218 0.8593 0.927 -1 1 2 1 1.887 0.03136 0.0261 0.05532 0.09162 1 0.00006083 0.09472 0.06954 0.05444 0.2333 4.218 2.828 0.06687 0.1102 1 1 0.07013 0.3756 0.8456 0.08162 0.4371 0.9841 json
t20_x2_u0_b47 20 2 0 47 add(P,pow(div(P,P),R)) 159965 162492869 o2(x,o2(o2(x,x),x)) true 159727 159727 -0.09375 0.4375 0.9688 0.9525 0.976 -1 1 2 1 1.404 0.02019 0 0.01587 1 1 0 0.03975 0.02473 0.01993 0.1412 8.896 2 0.0212 0.04173 1 1 0.0272 0.1109 0.3698 0.02856 0.1164 0.3883 json
t20_x2_u0_b48 20 2 0 48 add(P,pow(pow(P,P),R)) 159966 162492870 o2(x,o2(o2(x,x),x)) true 159735 159735 0 0.5 1 1 1 -1 1 2 1 1 0.01587 0 0.007937 1 1 0 0.03175 0.01587 0.01581 0.1257 15.84 2 0.01587 0.03175 1 1 0.02105 0.08421 0.3368 0.02105 0.08421 0.3368 json
t20_x2_u0_b49 20 2 0 49 add(P,pow(mod(P,P),R)) 159967 162492871 o2(x,o2(o2(x,x),x)) true 159743 159743 -0.6875 0.1563 1 0.5273 0.7262 -1 1 2 1 0.6253 0.04976 0.03036 0.03984 0.2421 1 0 0.1669 0.08012 0.07855 0.2803 7.035 2.828 0.1519 0.3165 1 1 0.07856 0.3432 0.7419 0.149 0.6507 1.407 json
t20_x2_u0_b50 20 2 0 50 add(P,pow(lrg(P,P),R)) 159968 162492872 o2(x,o2(o2(x,x),x)) true 159751 159751 -0.8672 0.06641 0.9961 0.2432 0.4931 -1 1 2 1 0.4225 0.03028 0.03113 0.03117 -0.01391 1 3.754e-12 0.1303 0.06208 0.06044 0.2459 7.887 2.828 0.2525 0.5359 1 1 0.05907 0.2433 0.4885 0.2429 1 2.009 json
t20_x2_u0_b51 20 2 0 51 add(P,pow(eql(P,P),R)) 159969 162492873 o2(x,o2(o2(x,x),x)) true 159759 159759 0.125 0.5625 0.9375 0.9084 0.9531 -1 1 2 1 1.8 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007771 0.00003562 1 1 0.001851 0.02449 0.2344 0.002038 0.02696 0.2581 json
t20_x2_u0_b52 20 2 0 52 add(P,pow(min(P,P),R)) 159970 162492874 o2(x,o2(o2(x,x),x)) true 159767 159767 -0.09913 0.4531 0.9946 0.9841 0.992 -1 1 2 1 1.069 0.01302 0.004393 0.01034 0.4953 1 -1.802e-10 0.03547 0.01925 0.01731 0.1316 12.73 2.828 0.01769 0.03604 1 1 0.02401 0.1015 0.3992 0.0244 0.1032 0.4057 json
t20_x2_u0_b53 20 2 0 53 add(P,pow(dot(P,P),R)) 159971 162492875 o2(x,o2(o2(x,x),x)) true 159775 159775 0.4587 0.7368 0.9397 0.7106 0.843 -1 1 2 1 1.741 0.0187 0.02488 0.04927 -0.1418 1 -0.0002562 0.06256 0.05394 0.04116 0.2029 4.117 2.671 0.06132 0.08805 1 1 0.04797 0.2938 0.6824 0.06751 0.4135 0.9603 json
t20_x2_u0_b54 20 2 0 54 add(P,pow(dst(P,P),R)) 159972 162492876 o2(x,o2(o2(x,x),x)) true 159783 159783 -0.8672 0.06641 0.9961 0.2432 0.4931 -1 1 2 1 0.4225 0.03028 0.03113 0.03117 -0.01391 1 3.754e-12 0.1303 0.06208 0.06044 0.2459 7.887 2.828 0.2525 0.5359 1 1 0.05907 0.2433 0.4885 0.2429 1 2.009 json
t20_x2_u0_b55 20 2 0 55 add(P,mod(add(P,P),R)) 159973 162492877 o2(x,o2(o2(x,x),x)) true 159791 159791 0.000299 0.5 0.9433 0.932 0.9654 -1 1 2 1 1.728 0.0008679 0.00000399 0.00796 0.9908 1 7.697e-7 0.0000917 0.002187 0.0008089 0.02844 3.573 0.1909 0.0009355 0.00009839 1 1 0.002157 0.02673 0.2432 0.002314 0.02868 0.261 json
t20_x2_u0_b56 20 2 0 56 add(P,mod(sub(P,P),R)) 159974 162492878 o2(x,o2(o2(x,x),x)) true 159799 159799 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b57 20 2 0 57 add(P,mod(mlt(P,P),R)) 159975 162492879 o2(x,o2(o2(x,x),x)) true 159807 159807 0.0105 0.5 0.9332 0.9169 0.9575 -1 1 2 1 1.922 0.0007283 0.00001171 0.008137 0.9684 1 3.128e-7 0.00007691 0.002338 0.0006736 0.02595 3.19 0.1634 0.0008071 0.00008389 1 1 0.001912 0.02381 0.2278 0.002085 0.02597 0.2484 json
t20_x2_u0_b58 20 2 0 58 add(P,mod(div(P,P),R)) 159976 162492880 o2(x,o2(o2(x,x),x)) true 159815 159815 -0.1227 0.4375 0.9977 0.9809 0.9904 -1 1 2 1 1.098 0.01606 0.000003938 0.009253 0.9995 1 3.717e-7 0.03207 0.01762 0.01597 0.1264 13.66 2 0.01638 0.0327 1 1 0.02129 0.08483 0.3376 0.0217 0.08648 0.3442 json
t20_x2_u0_b59 20 2 0 59 add(P,mod(pow(P,P),R)) 159977 162492881 o2(x,o2(o2(x,x),x)) true 159823 159823 -0.02215 0.5 0.9779 0.9696 0.9847 -1 1 2 1 1.357 0.006034 0.000006331 0.008013 0.9979 1 -4.333e-7 0.01145 0.01037 0.005973 0.07729 9.645 1.422 0.006229 0.01181 1 1 0.008328 0.04685 0.2964 0.008589 0.04831 0.3057 json
t20_x2_u0_b60 20 2 0 60 add(P,mod(mod(P,P),R)) 159978 162492882 o2(x,o2(o2(x,x),x)) true 159831 159831 -0.125 0.4375 1 0.9844 0.9922 -1 1 2 1 0.9887 0.01587 0 0.007937 1 1 0 0.03175 0.01587 0.01581 0.1257 15.84 2 0.01612 0.03225 1 1 0.02105 0.08421 0.3368 0.02139 0.08555 0.3422 json
t20_x2_u0_b61 20 2 0 61 add(P,mod(lrg(P,P),R)) 159979 162492883 o2(x,o2(o2(x,x),x)) true 159839 159839 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b62 20 2 0 62 add(P,mod(eql(P,P),R)) 159980 162492884 o2(x,o2(o2(x,x),x)) true 159847 159847 0.02263 0.5195 0.939 0.9199 0.9591 -1 1 2 1 1.925 0.0007219 0.00001935 0.008266 0.9478 1 -3.931e-7 0.00007355 0.002353 0.0006732 0.02595 3.139 0.163 0.0008058 0.00007995 1 1 0.001934 0.02435 0.232 0.002103 0.02647 0.2522 json
t20_x2_u0_b63 20 2 0 63 add(P,mod(min(P,P),R)) 159981 162492885 o2(x,o2(o2(x,x),x)) true 159855 159855 0.0003382 0.5 0.9433 0.932 0.9654 -1 1 2 1 1.726 0.0008664 0.000003424 0.007957 0.9921 1 3.822e-7 0.00009018 0.002164 0.0008069 0.02841 3.57 0.1657 0.0009333 0.00009676 1 1 0.002211 0.0271 0.2446 0.002372 0.02907 0.2624 json
t20_x2_u0_b64 20 2 0 64 add(P,mod(dot(P,P),R)) 159982 162492886 o2(x,o2(o2(x,x),x)) true 159863 159863 0.03148 0.5213 0.9368 0.9151 0.9566 -1 1 2 1 1.958 0.0007271 0.00004843 0.008553 0.8751 1 -0.000003679 0.0000966 0.002536 0.000702 0.0265 3.098 0.1933 0.0008475 0.0001056 1 1 0.00193 0.02382 0.2279 0.002109 0.02603 0.2491 json
t20_x2_u0_b65 20 2 0 65 add(P,mod(dst(P,P),R)) 159983 162492887 o2(x,o2(o2(x,x),x)) true 159871 159871 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b66 20 2 0 66 add(P,lrg(add(P,P),R)) 159984 162492888 o2(x,o2(o2(x,x),x)) true 159879 159879 0.03972 0.5198 0.9657 0.9543 0.9769 -1 1 2 1 1.554 0.001197 0.00009554 0.008561 0.8522 1 0.000003562 0.0001197 0.002399 0.00122 0.03492 4.08 0.2338 0.001355 0.0001254 1 1 0.003358 0.04173 0.2916 0.003518 0.04373 0.3056 json
t20_x2_u0_b67 20 2 0 67 add(P,lrg(sub(P,P),R)) 159985 162492889 o2(x,o2(o2(x,x),x)) true 159887 159887 0.06404 0.5292 0.9418 0.9239 0.9612 -1 1 2 1 1.81 0.0009419 0.000259 0.009869 0.5687 1 0.00001453 0.0001299 0.002631 0.001104 0.03323 3.367 0.2338 0.0013 0.0001406 1 1 0.003125 0.03919 0.2718 0.003382 0.04241 0.2942 json
t20_x2_u0_b68 20 2 0 68 add(P,lrg(mlt(P,P),R)) 159986 162492890 o2(x,o2(o2(x,x),x)) true 159895 159895 0.1022 0.5456 0.9147 0.8903 0.9436 -1 1 2 1 1.909 0.0008052 0.00009554 0.008732 0.7879 1 0.000003562 0.0001018 0.002507 0.0008245 0.02871 3.288 0.2265 0.001012 0.0001143 1 1 0.002354 0.02847 0.2183 0.002644 0.03197 0.2452 json
t20_x2_u0_b69 20 2 0 69 add(P,lrg(div(P,P),R)) 159987 162492891 o2(x,o2(o2(x,x),x)) true 159903 159903 0.125 0.5625 0.9375 0.9084 0.9531 -1 1 2 1 1.8 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007771 0.00003562 1 1 0.001851 0.02449 0.2344 0.002038 0.02696 0.2581 json
t20_x2_u0_b70 20 2 0 70 add(P,lrg(pow(P,P),R)) 159988 162492892 o2(x,o2(o2(x,x),x)) true 159911 159911 0.125 0.5625 0.9375 0.9084 0.9531 -1 1 2 1 1.8 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007771 0.00003562 1 1 0.001851 0.02449 0.2344 0.002038 0.02696 0.2581 json
t20_x2_u0_b71 20 2 0 71 add(P,lrg(mod(P,P),R)) 159989 162492893 o2(x,o2(o2(x,x),x)) true 159919 159919 0.08892 0.5417 0.9618 0.9423 0.9707 -1 1 2 1 1.624 0.001086 0.0001484 0.008932 0.7596 1 0.00001096 0.000086 0.002149 0.001155 0.03399 3.805 0.2338 0.001311 0.00009126 1 1 0.003119 0.04071 0.2873 0.00331 0.04321 0.3049 json
t20_x2_u0_b72 20 2 0 72 add(P,lrg(lrg(P,P),R)) 159990 162492894 o2(x,o2(o2(x,x),x)) true 159927 159927 0.06404 0.5292 0.9418 0.9239 0.9612 -1 1 2 1 1.81 0.0009419 0.000259 0.009869 0.5687 1 0.00001453 0.0001299 0.002631 0.001104 0.03323 3.367 0.2338 0.0013 0.0001406 1 1 0.003125 0.03919 0.2718 0.003382 0.04241 0.2942 json
t20_x2_u0_b73 20 2 0 73 add(P,lrg(eql(P,P),R)) 159991 162492895 o2(x,o2(o2(x,x),x)) true 159935 159935 0.125 0.5625 0.9375 0.9084 0.9531 -1 1 2 1 1.8 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007771 0.00003562 1 1 0.001851 0.02449 0.2344 0.002038 0.02696 0.2581 json
t20_x2_u0_b74 20 2 0 74 add(P,lrg(min(P,P),R)) 159992 162492896 o2(x,o2(o2(x,x),x)) true 159943 159943 0.03972 0.5198 0.9657 0.9543 0.9769 -1 1 2 1 1.554 0.001197 0.00009554 0.008561 0.8522 1 0.000003562 0.0001197 0.002399 0.00122 0.03492 4.08 0.2338 0.001355 0.0001254 1 1 0.003358 0.04173 0.2916 0.003518 0.04373 0.3056 json
t20_x2_u0_b75 20 2 0 75 add(P,lrg(dot(P,P),R)) 159993 162492897 o2(x,o2(o2(x,x),x)) true 159951 159951 0.1218 0.5621 0.9343 0.9051 0.9514 -1 1 2 1 1.828 0.0007137 0.00003185 0.008202 0.9146 1 7.931e-11 0.00004555 0.001996 0.0006785 0.02605 3.176 0.2265 0.0008237 0.00005032 1 1 0.001982 0.02572 0.2319 0.002189 0.02841 0.2562 json
t20_x2_u0_b76 20 2 0 76 add(P,lrg(dst(P,P),R)) 159994 162492898 o2(x,o2(o2(x,x),x)) true 159959 159959 0.06404 0.5292 0.9418 0.9239 0.9612 -1 1 2 1 1.81 0.0009419 0.000259 0.009869 0.5687 1 0.00001453 0.0001299 0.002631 0.001104 0.03323 3.367 0.2338 0.0013 0.0001406 1 1 0.003125 0.03919 0.2718 0.003382 0.04241 0.2942 json
t20_x2_u0_b77 20 2 0 77 add(P,eql(add(P,P),R)) 159995 162492899 o2(x,o2(o2(x,x),x)) true 159967 159967 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b78 20 2 0 78 add(P,eql(sub(P,P),R)) 159996 162492900 o2(x,o2(o2(x,x),x)) true 159975 159975 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b79 20 2 0 79 add(P,eql(mlt(P,P),R)) 159997 162492901 o2(x,o2(o2(x,x),x)) true 159983 159983 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b80 20 2 0 80 add(P,eql(div(P,P),R)) 159998 162492902 o2(x,o2(o2(x,x),x)) true 159991 159991 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json
t20_x2_u0_b81 20 2 0 81 add(P,eql(pow(P,P),R)) 159999 162492903 o2(x,o2(o2(x,x),x)) true 159999 159999 0 0.5 0.9375 0.924 0.9612 -1 1 2 1 1.813 0.0007059 0 0.007937 1 1 0 0.00003235 0.001851 0.0006432 0.02536 3.195 0.1169 0.0007639 0.00003501 1 1 0.001851 0.02449 0.2344 0.002003 0.0265 0.2537 json