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_x77_u0_b7 20 77 0 7 add(R,add(eql(R,D),R)) 175000 165522904 o2(x,o2(o2(x,x),x)) true 108407 108407 0.01376 0.4984 0.659 0.5457 0.7387 -1 1 2 1 4.408 0.008741 0.009754 0.09341 -0.05477 1 0.0000292 0.003208 0.02884 0.00977 0.09885 1.058 0.4602 0.03389 0.005879 1 1 0.03624 0.4079 0.9796 0.06641 0.7475 1.795 json
t20_x77_u0_b8 20 77 0 8 add(R,add(min(R,D),R)) 175001 165522905 o2(x,o2(o2(x,x),x)) true 108415 108415 -0.118 0.439 0.7252 0.6189 0.7867 -1 1 2 1 4.002 0.01173 0.01246 0.09953 -0.03013 1 0.0000916 0.005606 0.03599 0.01429 0.1195 1.201 0.6041 0.03909 0.009058 1 1 0.04676 0.4854 1.12 0.07556 0.7842 1.81 json
t20_x77_u0_b9 20 77 0 9 add(R,add(dot(R,D),R)) 175002 165522906 o2(x,o2(o2(x,x),x)) true 108423 108423 0.01594 0.4983 0.6616 0.5496 0.7414 -1 1 2 1 4.391 0.009116 0.01028 0.09618 -0.06001 1 -0.00004405 0.003511 0.03043 0.01015 0.1007 1.047 0.5089 0.03529 0.006388 1 1 0.03774 0.4206 0.9856 0.06867 0.7653 1.793 json
t20_x77_u0_b10 20 77 0 10 add(R,add(dst(R,D),R)) 175003 165522907 o2(x,o2(o2(x,x),x)) true 108431 108431 0.6254 0.8532 0.7165 0.2387 0.4886 -0.9511 1 1.951 1 3.279 0.005315 0.005946 0.06413 -0.0561 1 -0.0001799 0.003118 0.02686 0.00715 0.08456 1.318 0.4941 0.04717 0.01306 1 1 0.02089 0.1996 0.4066 0.0875 0.836 1.703 json
t20_x77_u0_b11 20 77 0 11 add(R,sub(add(R,D),R)) 175004 165522908 o2(x,o2(o2(x,x),x)) true 108439 108439 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_x77_u0_b12 20 77 0 12 add(R,sub(sub(R,D),R)) 175005 165522909 o2(x,o2(o2(x,x),x)) true 108447 108447 0.009165 0.4978 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_x77_u0_b13 20 77 0 13 add(R,sub(mlt(R,D),R)) 175006 165522910 o2(x,o2(o2(x,x),x)) true 108455 108455 0.001509 0.5091 0.09077 0.0151 0.1229 -0.4311 0.4889 0.92 1 3.004 0.0007895 0.0002198 0.02769 0.5645 1 -0.00003739 0.000103 0.008005 0.0002428 0.01558 0.5628 0.08276 0.06684 0.006818 1 1 0.001985 0.02214 0.02942 0.1314 1.466 1.949 json
t20_x77_u0_b14 20 77 0 14 add(R,sub(div(R,D),R)) 175007 165522911 o2(x,o2(o2(x,x),x)) true 108463 108463 0.0102 0.5064 0.8024 0.7396 0.86 -1 1 2 1 3.328 0.2573 0.03211 0.239 0.7781 1 -0.00006844 0.5792 0.3129 0.2324 0.482 2.017 2.828 0.3913 0.7831 1 1 0.3234 1.359 1.366 0.4372 1.837 1.847 json
t20_x77_u0_b15 20 77 0 15 add(R,sub(pow(R,D),R)) 175008 165522912 o2(x,o2(o2(x,x),x)) true 108471 108471 -0.9156 0.04297 0.9984 0.1589 0.3986 -1 1 2 1 0.3032 0.01672 0.01576 0.01679 0.02932 1 0.000002463 0.06819 0.03316 0.03218 0.1794 10.68 2.828 0.2045 0.4293 1 1 0.02487 0.1066 0.2644 0.1566 0.6709 1.665 json
t20_x77_u0_b16 20 77 0 16 add(R,sub(mod(R,D),R)) 175009 165522913 o2(x,o2(o2(x,x),x)) true 108479 108479 -0.006161 0.4759 0.09044 0.01497 0.1224 -0.456 0.4355 0.8915 1 2.997 0.006824 0.0002258 0.06342 0.9359 1 -0.00001868 0.01816 0.09708 0.003027 0.05502 0.8674 0.39 0.4708 1.213 1 1 0.005404 0.01627 0.02848 0.3609 1.087 1.902 json
t20_x77_u0_b17 20 77 0 17 add(R,sub(lrg(R,D),R)) 175010 165522914 o2(x,o2(o2(x,x),x)) true 108487 108487 0.4991 0.9305 0.4991 0.1466 0.3829 0 1 1 1 3.529 0.0202 0.00212 0.08082 0.81 1 0.00001402 0.03815 0.07049 0.01579 0.1257 1.555 0.9997 0.1522 0.2602 1 1 0.02456 0.14 0.2709 0.1675 0.9551 1.848 json
t20_x77_u0_b18 20 77 0 18 add(R,sub(eql(R,D),R)) 175011 165522915 o2(x,o2(o2(x,x),x)) true 108495 108495 0.00004008 0.0002289 0.00004008 0.00001031 0.00321 0 0.3282 0.3282 1 0.002722 0.00001454 1.509e-7 0.00006305 0.9795 0 1.17e-7 0.00004407 0.0001242 0.00001469 0.003832 60.78 0.3186 1.425 4.276 1 1 0 0 0.000007865 0 0 0.7631 json
t20_x77_u0_b19 20 77 0 19 add(R,sub(min(R,D),R)) 175012 165522916 o2(x,o2(o2(x,x),x)) true 108503 108503 -0.2802 0.1663 0.3076 0.07392 0.2719 -0.9989 0.1454 1.144 1 4.044 0.001754 0.001001 0.04511 0.2733 1 0.00002083 0.0002816 0.01333 0.00072 0.02683 0.5948 0.1528 0.03727 0.003809 1 1 0.005139 0.05796 0.1186 0.06952 0.784 1.604 json
t20_x77_u0_b20 20 77 0 20 add(R,sub(dot(R,D),R)) 175013 165522917 o2(x,o2(o2(x,x),x)) true 108511 108511 0.004186 0.519 0.1403 0.03119 0.1766 -0.5259 0.5965 1.122 1 3.548 0.001025 0.001036 0.04104 -0.005293 1 -0.0001214 0.0002066 0.0116 0.0003766 0.01941 0.4729 0.1246 0.06608 0.006623 1 1 0.003983 0.04517 0.06353 0.1277 1.448 2.037 json
t20_x77_u0_b21 20 77 0 21 add(R,sub(dst(R,D),R)) 175014 165522918 o2(x,o2(o2(x,x),x)) true 108519 108519 0.9181 1 0.9181 0.01978 0.1406 0.07175 1 0.9282 1 1.861 0.0006824 0.0007622 0.02203 -0.05522 1 -0.00004027 0.0004199 0.009976 0.000959 0.03097 1.406 0.1814 0.07303 0.02123 1 1 0.002532 0.02334 0.03425 0.128 1.18 1.731 json
t20_x77_u0_b22 20 77 0 22 add(R,mlt(add(R,D),R)) 175015 165522919 o2(x,o2(o2(x,x),x)) true 108527 108527 0.3052 0.646 0.4125 0.1982 0.4452 -0.356 1 1.356 1 4.134 0.003607 0.003366 0.06144 0.03461 1 -0.00008288 0.001135 0.01831 0.003198 0.05655 0.9204 0.2697 0.03518 0.005729 1 1 0.01393 0.1597 0.3898 0.07029 0.8055 1.967 json
t20_x77_u0_b23 20 77 0 23 add(R,mlt(sub(R,D),R)) 175016 165522920 o2(x,o2(o2(x,x),x)) true 108535 108535 0.3028 0.6464 0.4142 0.2 0.4472 -0.356 1 1.356 1 4.144 0.003589 0.003394 0.06146 0.02789 1 -0.00001639 0.001135 0.01824 0.003206 0.05662 0.9213 0.2686 0.03491 0.005675 1 1 0.01396 0.16 0.395 0.06979 0.8001 1.975 json
t20_x77_u0_b24 20 77 0 24 add(R,mlt(mlt(R,D),R)) 175017 165522921 o2(x,o2(o2(x,x),x)) true 108543 108543 0.00855 0.4966 0.397 0.2252 0.4746 -1 1 2 1 4.886 0.00322 0.003232 0.06632 -0.001855 1 0.00004043 0.0004272 0.0154 0.002052 0.0453 0.683 0.2828 0.02864 0.001897 1 1 0.01273 0.1602 0.4019 0.0565 0.711 1.784 json
t20_x77_u0_b25 20 77 0 25 add(R,mlt(div(R,D),R)) 175018 165522922 o2(x,o2(o2(x,x),x)) true 108551 108551 -0.005379 0.4924 0.675 0.5958 0.7719 -1 1 2 1 3.888 0.2606 0.00385 0.2422 0.9709 1 0.000008111 0.5018 0.3013 0.2058 0.4537 1.873 2.074 0.444 0.8422 1 1 0.2862 0.992 0.2993 0.4804 1.665 0.5025 json
t20_x77_u0_b26 20 77 0 26 add(R,mlt(pow(R,D),R)) 175019 165522923 o2(x,o2(o2(x,x),x)) true 108559 108559 -0.9186 0.04297 0.9955 0.1493 0.3864 -1 1 2 1 0.339 0.01482 0.01475 0.01634 0.00231 1 -1.91e-7 0.06158 0.0315 0.02928 0.1711 10.47 2.828 0.198 0.4124 1 1 0.02364 0.1037 0.2534 0.1583 0.6948 1.697 json
t20_x77_u0_b27 20 77 0 27 add(R,mlt(mod(R,D),R)) 175020 165522924 o2(x,o2(o2(x,x),x)) true 108567 108567 0.08159 0.5363 0.4002 0.2225 0.4717 -0.9686 1 1.969 1 4.856 0.005955 0.003194 0.07636 0.3018 1 -0.0001415 0.00874 0.0643 0.003318 0.0576 0.7544 0.4553 0.04112 0.03929 1 1 0.01413 0.1601 0.4007 0.0635 0.7194 1.801 json
t20_x77_u0_b28 20 77 0 28 add(R,mlt(lrg(R,D),R)) 175021 165522925 o2(x,o2(o2(x,x),x)) true 108575 108575 0.1726 0.5475 0.5443 0.3743 0.6118 -1 1 2 1 4.607 0.006834 0.006168 0.08288 0.05125 1 -0.00004228 0.00472 0.03643 0.006132 0.07831 0.9448 0.4583 0.03474 0.01261 1 1 0.02435 0.2734 0.6845 0.06505 0.7306 1.829 json
t20_x77_u0_b29 20 77 0 29 add(R,mlt(eql(R,D),R)) 175022 165522926 o2(x,o2(o2(x,x),x)) true 108583 108583 0.008956 0.4983 0.3947 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002818 0.00317 0.06322 -0.05875 1 0.00002644 0.0003663 0.01456 0.001992 0.04463 0.7059 0.2301 0.02727 0.001668 1 1 0.01182 0.1519 0.3914 0.05384 0.6917 1.782 json
t20_x77_u0_b30 20 77 0 30 add(R,mlt(min(R,D),R)) 175023 165522927 o2(x,o2(o2(x,x),x)) true 108591 108591 0.1767 0.5916 0.2839 0.1096 0.331 -0.2497 1 1.25 1 4.085 0.00186 0.001605 0.04682 0.07348 1 -0.000007217 0.0002452 0.01148 0.001273 0.03568 0.762 0.1828 0.03162 0.002238 1 1 0.007085 0.08835 0.2168 0.06466 0.8063 1.978 json
t20_x77_u0_b31 20 77 0 31 add(R,mlt(dot(R,D),R)) 175024 165522928 o2(x,o2(o2(x,x),x)) true 108599 108599 0.008947 0.495 0.4 0.2299 0.4795 -1 1 2 1 4.89 0.003284 0.003514 0.06835 -0.03379 1 0.00002677 0.000486 0.01617 0.002126 0.04611 0.6746 0.2906 0.02957 0.002114 1 1 0.01333 0.1665 0.414 0.05799 0.7243 1.801 json
t20_x77_u0_b32 20 77 0 32 add(R,mlt(dst(R,D),R)) 175025 165522929 o2(x,o2(o2(x,x),x)) true 108607 108607 0.0215 0.5023 0.6621 0.5524 0.7432 -1 1 2 1 4.337 0.009247 0.01042 0.0932 -0.05966 1 0.00004772 0.004022 0.03071 0.01098 0.1048 1.124 0.5069 0.03561 0.007282 1 1 0.03807 0.4127 0.987 0.06893 0.7471 1.787 json
t20_x77_u0_b33 20 77 0 33 add(R,div(add(R,D),R)) 175026 165522930 o2(x,o2(o2(x,x),x)) true 108615 108615 0.5849 0.8513 0.7584 0.3467 0.5888 -1 1 2 1 3.143 0.03022 0.01027 0.09442 0.4926 1 0.000311 0.03849 0.06284 0.03158 0.1777 1.882 2.045 0.1168 0.111 1 1 0.05607 0.3891 0.6159 0.1617 1.122 1.777 json
t20_x77_u0_b34 20 77 0 34 add(R,div(sub(R,D),R)) 175027 165522931 o2(x,o2(o2(x,x),x)) true 108623 108623 0.5881 0.8527 0.7663 0.3524 0.5937 -1 1 2 1 3.104 0.02946 0.009929 0.095 0.4959 1 0.0003617 0.036 0.06183 0.03037 0.1743 1.835 2.132 0.1118 0.1021 1 1 0.06151 0.424 0.6722 0.1745 1.203 1.907 json
t20_x77_u0_b35 20 77 0 35 add(R,div(mlt(R,D),R)) 175028 165522932 o2(x,o2(o2(x,x),x)) true 108631 108631 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_x77_u0_b36 20 77 0 36 add(R,div(div(R,D),R)) 175029 165522933 o2(x,o2(o2(x,x),x)) true 108639 108639 0.001976 0.5015 0.9136 0.8847 0.9406 -1 1 2 1 2.263 0.3196 0.0003801 0.2465 0.9976 1 0.000002205 0.5228 0.3328 0.259 0.5089 2.064 2 0.3616 0.591 1 1 0.382 1.709 0.03926 0.4318 1.932 0.04438 json
t20_x77_u0_b37 20 77 0 37 add(R,div(pow(R,D),R)) 175030 165522934 o2(x,o2(o2(x,x),x)) true 108647 108647 -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
t20_x77_u0_b38 20 77 0 38 add(R,div(mod(R,D),R)) 175031 165522935 o2(x,o2(o2(x,x),x)) true 108655 108655 0.3873 0.744 0.5831 0.2891 0.5376 -0.9682 1 1.968 1 4.563 0.03791 0.003873 0.14 0.8146 1 -0.001047 0.08003 0.1911 0.02217 0.1489 1.063 0.9481 0.1445 0.2769 1 1 0.04252 0.2513 0.4439 0.1471 0.8694 1.536 json
t20_x77_u0_b39 20 77 0 39 add(R,div(lrg(R,D),R)) 175032 165522936 o2(x,o2(o2(x,x),x)) true 108663 108663 0.2178 0.5669 0.7557 0.6269 0.7918 -1 1 2 1 3.572 0.05757 0.02051 0.1303 0.4746 1 0.00004121 0.1155 0.1299 0.06113 0.2472 1.898 2.828 0.1245 0.1843 1 1 0.1017 0.6052 1.18 0.1622 0.9655 1.883 json
t20_x77_u0_b40 20 77 0 40 add(R,div(eql(R,D),R)) 175033 165522937 o2(x,o2(o2(x,x),x)) true 108671 108671 0.008912 0.4983 0.3947 0.2196 0.4687 -0.9989 0.9806 1.979 1 4.862 0.002854 0.003171 0.06328 -0.0526 1 0.00002631 0.0004759 0.01469 0.002021 0.04496 0.7104 0.5692 0.02744 0.002167 1 1 0.01182 0.1519 0.3915 0.05383 0.6916 1.782 json
t20_x77_u0_b41 20 77 0 41 add(R,div(min(R,D),R)) 175034 165522938 o2(x,o2(o2(x,x),x)) true 108679 108679 0.4904 0.8903 0.6163 0.2319 0.4816 -1 1 2 1 4.22 0.01671 0.004688 0.08194 0.5619 1 0.00001297 0.01827 0.04363 0.01469 0.1212 1.479 2.001 0.09228 0.07877 1 1 0.03083 0.2175 0.3934 0.1329 0.9379 1.696 json
t20_x77_u0_b42 20 77 0 42 add(R,div(dot(R,D),R)) 175035 165522939 o2(x,o2(o2(x,x),x)) true 108687 108687 0.02234 0.5073 0.5581 0.4115 0.6415 -1 1 2 1 4.845 0.009201 0.02267 0.1173 -0.4226 1 0.000283 0.02498 0.05109 0.01811 0.1346 1.147 2.005 0.07744 0.06071 1 1 0.05077 0.4364 0.8056 0.1234 1.06 1.957 json
t20_x77_u0_b43 20 77 0 43 add(R,div(dst(R,D),R)) 175036 165522940 o2(x,o2(o2(x,x),x)) true 108695 108695 -0.04611 0.4767 0.9211 0.8923 0.9446 -1 1 2 1 2.189 0.03492 0.04477 0.1116 -0.1235 1 0.0001876 0.08098 0.09408 0.06725 0.2593 2.325 2.828 0.08931 0.09075 1 1 0.125 0.8294 1.769 0.1401 0.9294 1.983 json
t20_x77_u0_b44 20 77 0 44 add(R,pow(add(R,D),R)) 175037 165522941 o2(x,o2(o2(x,x),x)) true 108703 108703 -0.8756 0.06274 0.9989 0.2314 0.481 -1 1 2 1 0.3813 0.09766 0.02099 0.06002 0.6462 1 0.000482 0.2567 0.1198 0.115 0.3391 5.65 2.828 0.5128 1.109 1 1 0.1058 0.3188 0.4765 0.4572 1.378 2.059 json
t20_x77_u0_b45 20 77 0 45 add(R,pow(sub(R,D),R)) 175038 165522942 o2(x,o2(o2(x,x),x)) true 108711 108711 -0.8633 0.06885 0.999 0.2528 0.5028 -1 1 2 1 0.4013 0.09674 0.02192 0.0598 0.6305 1 0.00004126 0.2649 0.1202 0.115 0.3392 5.672 2.828 0.4694 1.048 1 1 0.108 0.3219 0.483 0.4273 1.273 1.911 json
t20_x77_u0_b46 20 77 0 46 add(R,pow(mlt(R,D),R)) 175039 165522943 o2(x,o2(o2(x,x),x)) true 108719 108719 -0.9239 0.03906 0.998 0.1428 0.3779 -1 1 2 1 0.2925 0.0172 0.01532 0.01755 0.05785 1 3.835e-7 0.0679 0.03404 0.03223 0.1795 10.23 2.828 0.2278 0.4755 1 1 0.03519 0.148 0.3205 0.2464 1.037 2.244 json
t20_x77_u0_b47 20 77 0 47 add(R,pow(div(R,D),R)) 175040 165522944 o2(x,o2(o2(x,x),x)) true 108727 108727 -0.9353 0.03368 0.9904 0.1125 0.3353 -1 1 2 1 0.3597 0.01247 0.01183 0.01633 0.02624 1 4.99e-7 0.04952 0.02723 0.02402 0.155 9.49 2.021 0.216 0.4404 1 1 0.02483 0.1169 0.2393 0.2208 1.039 2.128 json
t20_x77_u0_b48 20 77 0 48 add(R,pow(pow(R,D),R)) 175041 165522945 o2(x,o2(o2(x,x),x)) true 108735 108735 -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
t20_x77_u0_b49 20 77 0 49 add(R,pow(mod(R,D),R)) 175042 165522946 o2(x,o2(o2(x,x),x)) true 108743 108743 -0.919 0.04297 0.9951 0.1468 0.3831 -1 1 2 1 0.355 0.01303 0.01458 0.01719 -0.05608 1 -0.000007261 0.05713 0.03316 0.02729 0.1652 9.611 2.695 0.1881 0.3892 1 1 0.02132 0.0981 0.2468 0.1452 0.6684 1.681 json
t20_x77_u0_b50 20 77 0 50 add(R,pow(lrg(R,D),R)) 175043 165522947 o2(x,o2(o2(x,x),x)) true 108751 108751 -0.6902 0.1587 0.9925 0.5128 0.7161 -1 1 2 1 0.7763 0.08022 0.05364 0.07052 0.1985 1 -5.623e-7 0.2858 0.1396 0.1288 0.3589 5.09 2.828 0.2611 0.5574 1 1 0.1332 0.4996 1.037 0.2598 0.9744 2.023 json
t20_x77_u0_b51 20 77 0 51 add(R,pow(eql(R,D),R)) 175044 165522948 o2(x,o2(o2(x,x),x)) true 108759 108759 -0.8155 0.1016 0.9813 0.3072 0.5543 -1 1 2 1 0.7279 0.03404 0.03871 0.03986 -0.06413 1 0.000008536 0.1539 0.07812 0.07119 0.2668 6.693 2.828 0.2368 0.5008 1 1 0.06938 0.2888 0.6387 0.2258 0.9399 2.079 json
t20_x77_u0_b52 20 77 0 52 add(R,pow(min(R,D),R)) 175045 165522949 o2(x,o2(o2(x,x),x)) true 108767 108767 -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_x77_u0_b53 20 77 0 53 add(R,pow(dot(R,D),R)) 175046 165522950 o2(x,o2(o2(x,x),x)) true 108775 108775 -0.866 0.06805 0.9979 0.2463 0.4963 -1 1 2 1 0.426 0.07368 0.06515 0.06639 0.06144 1 -0.0003829 0.437 0.1424 0.1344 0.3666 5.522 2.828 0.5636 1.774 1 1 0.1437 0.4185 0.5417 0.5834 1.699 2.199 json
t20_x77_u0_b54 20 77 0 54 add(R,pow(dst(R,D),R)) 175047 165522951 o2(x,o2(o2(x,x),x)) true 108783 108783 0.8036 0.97 0.81 0.09042 0.3007 -0.3329 1 1.333 1 2.678 0.001695 0.001881 0.03435 -0.05195 1 -0.00005442 0.0008944 0.01363 0.002396 0.04895 1.425 0.2703 0.03955 0.009891 1 1 0.006614 0.06769 0.1485 0.07315 0.7486 1.643 json
t20_x77_u0_b55 20 77 0 55 add(R,mod(add(R,D),R)) 175048 165522952 o2(x,o2(o2(x,x),x)) true 108791 108791 0.01756 0.5005 0.5402 0.3958 0.6292 -1 1 2 1 4.857 0.01465 0.006215 0.1076 0.4043 1 -0.00001147 0.02197 0.08144 0.009283 0.09635 0.8952 0.9672 0.05272 0.0555 1 1 0.0318 0.293 0.6998 0.08032 0.7401 1.768 json
t20_x77_u0_b56 20 77 0 56 add(R,mod(sub(R,D),R)) 175049 165522953 o2(x,o2(o2(x,x),x)) true 108799 108799 0.01725 0.5005 0.5401 0.3968 0.6299 -1 1 2 1 4.848 0.0145 0.006218 0.1075 0.3999 1 0.000002906 0.02179 0.08098 0.009169 0.09575 0.8908 0.9676 0.05223 0.05492 1 1 0.03155 0.2914 0.7014 0.07952 0.7344 1.768 json
t20_x77_u0_b57 20 77 0 57 add(R,mod(mlt(R,D),R)) 175050 165522954 o2(x,o2(o2(x,x),x)) true 108807 108807 0.01065 0.4973 0.4039 0.2329 0.4826 -1 1 2 1 4.901 0.003582 0.003368 0.06925 0.03079 1 -0.000008838 0.0004715 0.01635 0.002155 0.04643 0.6704 0.2554 0.02984 0.002024 1 1 0.01375 0.1736 0.4194 0.05902 0.7455 1.801 json
t20_x77_u0_b58 20 77 0 58 add(R,mod(div(R,D),R)) 175051 165522955 o2(x,o2(o2(x,x),x)) true 108815 108815 0.01142 0.4969 0.3933 0.2481 0.4981 -1 1 2 1 4.794 0.03463 0.003821 0.1432 0.8013 1 0.000007951 0.08671 0.2027 0.01794 0.1339 0.9352 1.305 0.155 0.3494 1 1 0.03631 0.2259 0.4505 0.1463 0.9104 1.815 json
t20_x77_u0_b59 20 77 0 59 add(R,mod(pow(R,D),R)) 175052 165522956 o2(x,o2(o2(x,x),x)) true 108823 108823 -0.9253 0.04297 0.9888 0.1265 0.3557 -1 1 2 1 0.4024 0.0127 0.01287 0.01648 -0.006634 1 0.000001825 0.05322 0.03071 0.02528 0.159 9.648 2.828 0.2021 0.4206 1 1 0.02089 0.08978 0.2152 0.1651 0.7096 1.701 json
t20_x77_u0_b60 20 77 0 60 add(R,mod(mod(R,D),R)) 175053 165522957 o2(x,o2(o2(x,x),x)) true 108831 108831 0.01052 0.4992 0.4577 0.2888 0.5374 -1 1 2 1 4.971 0.008371 0.004187 0.09148 0.3331 1 0.00004256 0.01365 0.07999 0.004189 0.06472 0.7075 0.3841 0.04349 0.04726 1 1 0.01867 0.1992 0.5191 0.06463 0.6897 1.797 json
t20_x77_u0_b61 20 77 0 61 add(R,mod(lrg(R,D),R)) 175054 165522958 o2(x,o2(o2(x,x),x)) true 108839 108839 0.09344 0.5318 0.4551 0.2849 0.5337 -0.9988 1 1.999 1 4.903 0.004166 0.004083 0.07363 0.01013 1 0.00002908 0.001466 0.02364 0.002827 0.05317 0.7221 0.3862 0.02895 0.005145 1 1 0.01609 0.2018 0.516 0.05647 0.7083 1.811 json
t20_x77_u0_b62 20 77 0 62 add(R,mod(eql(R,D),R)) 175055 165522959 o2(x,o2(o2(x,x),x)) true 108847 108847 0.008996 0.4984 0.3946 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002816 0.003169 0.06321 -0.0591 1 0.00002656 0.0003581 0.01454 0.00199 0.04461 0.7057 0.2301 0.02726 0.001631 1 1 0.01182 0.1519 0.3913 0.05385 0.6917 1.782 json
t20_x77_u0_b63 20 77 0 63 add(R,mod(min(R,D),R)) 175056 165522960 o2(x,o2(o2(x,x),x)) true 108855 108855 -0.0427 0.4637 0.4388 0.2735 0.5229 -1 1 2 1 4.94 0.005826 0.004082 0.07868 0.176 1 -0.0000111 0.004014 0.03637 0.003717 0.06097 0.7749 0.5506 0.03623 0.01468 1 1 0.01898 0.2157 0.5089 0.06942 0.7888 1.861 json
t20_x77_u0_b64 20 77 0 64 add(R,mod(dot(R,D),R)) 175057 165522961 o2(x,o2(o2(x,x),x)) true 108863 108863 0.01181 0.4966 0.4067 0.2411 0.491 -1 1 2 1 4.91 0.00453 0.00518 0.08044 -0.06696 1 -0.0000552 0.00841 0.04495 0.003239 0.05691 0.7076 0.6567 0.04027 0.03488 1 1 0.0167 0.1884 0.4291 0.06925 0.7815 1.78 json
t20_x77_u0_b65 20 77 0 65 add(R,mod(dst(R,D),R)) 175058 165522962 o2(x,o2(o2(x,x),x)) true 108871 108871 0.2464 0.62 0.412 0.2144 0.463 -0.9497 1 1.95 1 4.543 0.01074 0.009898 0.09961 0.04081 1 -0.00002539 0.05268 0.1133 0.01072 0.1035 1.039 1.271 0.09628 0.2458 1 1 0.02558 0.1725 0.402 0.1193 0.8046 1.876 json
t20_x77_u0_b66 20 77 0 66 add(R,lrg(add(R,D),R)) 175059 165522963 o2(x,o2(o2(x,x),x)) true 108879 108879 0.4361 0.7938 0.5773 0.2485 0.4985 -0.9982 1 1.998 1 4.395 0.04776 0.002502 0.1145 0.9005 1 -0.00007085 0.08469 0.1109 0.03715 0.1927 1.683 1.025 0.2022 0.3407 1 1 0.05926 0.2813 0.2746 0.2385 1.132 1.105 json
t20_x77_u0_b67 20 77 0 67 add(R,lrg(sub(R,D),R)) 175060 165522964 o2(x,o2(o2(x,x),x)) true 108887 108887 0.4375 0.7988 0.5744 0.2449 0.4949 -0.9986 1 1.999 1 4.395 0.04755 0.0025 0.114 0.9001 1 -0.000063 0.08465 0.1105 0.03705 0.1925 1.688 1.023 0.2044 0.3456 1 1 0.05856 0.2751 0.2764 0.2391 1.123 1.129 json
t20_x77_u0_b68 20 77 0 68 add(R,lrg(mlt(R,D),R)) 175061 165522965 o2(x,o2(o2(x,x),x)) true 108895 108895 0.5266 1 0.5266 0.05091 0.2256 0.001084 0.997 0.9959 1 3.815 0.0007236 0.0006853 0.03089 0.02719 1 0.00004432 0.00008334 0.007111 0.0004549 0.02133 0.6905 0.1132 0.02767 0.001637 1 1 0.002542 0.03267 0.08567 0.04993 0.6416 1.683 json
t20_x77_u0_b69 20 77 0 69 add(R,lrg(div(R,D),R)) 175062 165522966 o2(x,o2(o2(x,x),x)) true 108903 108903 0.4386 0.7975 0.5773 0.2475 0.4975 -0.9986 1 1.999 1 4.383 0.03446 0.00436 0.1035 0.7754 1 -0.00004559 0.0639 0.09422 0.02811 0.1676 1.62 1.005 0.1568 0.2582 1 1 0.04704 0.2762 0.4235 0.1901 1.116 1.711 json
t20_x77_u0_b70 20 77 0 70 add(R,lrg(pow(R,D),R)) 175063 165522967 o2(x,o2(o2(x,x),x)) true 108911 108911 0.8072 1 0.8072 0.06917 0.263 0.001146 1 0.9989 1 2.721 0.00124 0.001463 0.03034 -0.08261 1 -0.00006109 0.0006685 0.01204 0.001783 0.04223 1.392 0.223 0.03908 0.009664 1 1 0.004971 0.05068 0.113 0.07186 0.7327 1.634 json
t20_x77_u0_b71 20 77 0 71 add(R,lrg(mod(R,D),R)) 175064 165522968 o2(x,o2(o2(x,x),x)) true 108919 108919 0.375 0.9066 0.3971 0.07756 0.2785 -0.456 0.9809 1.437 1 4.156 0.02051 0.0009795 0.06763 0.9088 1 0.0003289 0.03972 0.07069 0.01691 0.1301 1.923 1.004 0.277 0.5122 1 1 0.02406 0.09102 0.1331 0.3103 1.174 1.716 json
t20_x77_u0_b72 20 77 0 72 add(R,lrg(lrg(R,D),R)) 175065 165522969 o2(x,o2(o2(x,x),x)) true 108927 108927 0.7664 1 0.7664 0.08041 0.2836 0.001146 1 0.9989 1 2.97 0.006427 0.001566 0.04153 0.6082 1 -0.0000398 0.01145 0.03061 0.006271 0.07919 1.907 0.9965 0.09941 0.1424 1 1 0.009282 0.06388 0.1345 0.1154 0.7944 1.673 json
t20_x77_u0_b73 20 77 0 73 add(R,lrg(eql(R,D),R)) 175066 165522970 o2(x,o2(o2(x,x),x)) true 108935 108935 0.5266 1 0.5266 0.05091 0.2256 0.001084 0.997 0.9959 1 3.815 0.0007236 0.0006853 0.03089 0.02719 1 0.00004432 0.00008334 0.007111 0.0004549 0.02133 0.6905 0.1132 0.02767 0.001637 1 1 0.002542 0.03267 0.08567 0.04993 0.6416 1.683 json
t20_x77_u0_b74 20 77 0 74 add(R,lrg(min(R,D),R)) 175067 165522971 o2(x,o2(o2(x,x),x)) true 108943 108943 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
t20_x77_u0_b75 20 77 0 75 add(R,lrg(dot(R,D),R)) 175068 165522972 o2(x,o2(o2(x,x),x)) true 108951 108951 0.5218 0.9915 0.5227 0.05949 0.2439 -0.2217 1 1.222 1 3.937 0.003359 0.00952 0.05409 -0.4783 1 -0.00002904 0.03377 0.05168 0.009954 0.09977 1.844 1.396 0.2165 0.5677 1 1 0.01296 0.06204 0.1039 0.2179 1.043 1.746 json
t20_x77_u0_b76 20 77 0 76 add(R,lrg(dst(R,D),R)) 175069 165522973 o2(x,o2(o2(x,x),x)) true 108959 108959 0.7954 1 0.7954 0.07006 0.2647 0.001146 1 0.9989 1 2.843 0.001887 0.002061 0.03396 -0.04414 1 -0.00002126 0.00501 0.01966 0.002795 0.05287 1.557 0.9831 0.05634 0.07152 1 1 0.005931 0.05208 0.1144 0.08465 0.7433 1.633 json
t20_x77_u0_b77 20 77 0 77 add(R,eql(add(R,D),R)) 175070 165522974 o2(x,o2(o2(x,x),x)) true 108967 108967 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
t20_x77_u0_b78 20 77 0 78 add(R,eql(sub(R,D),R)) 175071 165522975 o2(x,o2(o2(x,x),x)) true 108975 108975 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
t20_x77_u0_b79 20 77 0 79 add(R,eql(mlt(R,D),R)) 175072 165522976 o2(x,o2(o2(x,x),x)) true 108983 108983 0.00898 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
t20_x77_u0_b80 20 77 0 80 add(R,eql(div(R,D),R)) 175073 165522977 o2(x,o2(o2(x,x),x)) true 108991 108991 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
t20_x77_u0_b81 20 77 0 81 add(R,eql(pow(R,D),R)) 175074 165522978 o2(x,o2(o2(x,x),x)) true 108999 108999 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
t20_x77_u0_b82 20 77 0 82 add(R,eql(mod(R,D),R)) 175075 165522979 o2(x,o2(o2(x,x),x)) true 109007 109007 0.2716 0.6618 0.5511 0.3174 0.5633 -0.9986 1 1.999 1 4.791 0.03633 0.004349 0.1176 0.7862 1 -0.0006043 0.06399 0.1174 0.02685 0.1639 1.394 1.007 0.1282 0.2016 1 1 0.04716 0.2699 0.5025 0.1486 0.8506 1.583 json
t20_x77_u0_b83 20 77 0 83 add(R,eql(lrg(R,D),R)) 175076 165522980 o2(x,o2(o2(x,x),x)) true 109015 109015 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
t20_x77_u0_b84 20 77 0 84 add(R,eql(eql(R,D),R)) 175077 165522981 o2(x,o2(o2(x,x),x)) true 109023 109023 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
t20_x77_u0_b85 20 77 0 85 add(R,eql(min(R,D),R)) 175078 165522982 o2(x,o2(o2(x,x),x)) true 109031 109031 0.5086 0.9807 0.5111 0.06479 0.2545 -0.2345 1 1.235 1 3.999 0.01795 0.0009247 0.0687 0.902 1 0.00001015 0.03578 0.06637 0.01416 0.119 1.732 0.9994 0.2914 0.5523 1 1 0.0188 0.07237 0.114 0.2902 1.117 1.759 json
t20_x77_u0_b86 20 77 0 86 add(R,eql(dot(R,D),R)) 175079 165522983 o2(x,o2(o2(x,x),x)) true 109039 109039 0.009078 0.4984 0.3947 0.2196 0.4687 -0.9989 1 1.999 1 4.862 0.002938 0.003295 0.0635 -0.05729 1 0.00002651 0.001602 0.01528 0.002201 0.04691 0.7387 1.279 0.02838 0.007293 1 1 0.01198 0.152 0.3914 0.05455 0.6922 1.782 json
t20_x77_u0_b87 20 77 0 87 add(R,eql(dst(R,D),R)) 175080 165522984 o2(x,o2(o2(x,x),x)) true 109047 109047 0.008999 0.4984 0.3947 0.2196 0.4686 -0.9989 1 1.999 1 4.862 0.002824 0.003181 0.06325 -0.05933 1 0.00002651 0.0004613 0.01465 0.002004 0.04477 0.7078 0.5433 0.02735 0.0021 1 1 0.01183 0.1519 0.3914 0.05388 0.6917 1.782 json
t20_x77_u0_b88 20 77 0 88 add(R,min(add(R,D),R)) 175081 165522985 o2(x,o2(o2(x,x),x)) true 109055 109055 -0.08719 0.4456 0.6651 0.5452 0.7384 -1 1 2 1 4.396 0.009723 0.009691 0.09741 0.001624 1 0.0002361 0.0035 0.03147 0.009925 0.09962 1.023 0.4874 0.03561 0.006421 1 1 0.03807 0.4177 0.9825 0.06984 0.7662 1.802 json
t20_x77_u0_b89 20 77 0 89 add(R,min(sub(R,D),R)) 175082 165522986 o2(x,o2(o2(x,x),x)) true 109063 109063 -0.08729 0.4463 0.6655 0.5455 0.7386 -1 1 2 1 4.393 0.009653 0.009707 0.09697 -0.002793 1 0.0002427 0.003462 0.03126 0.009956 0.09978 1.029 0.4573 0.03549 0.006346 1 1 0.03791 0.417 0.984 0.0695 0.7645 1.804 json
t20_x77_u0_b90 20 77 0 90 add(R,min(mlt(R,D),R)) 175083 165522987 o2(x,o2(o2(x,x),x)) true 109071 109071 -0.1781 0.4215 0.5394 0.3629 0.6024 -1 1 2 1 4.7 0.005603 0.005969 0.08117 -0.03162 1 0.00009671 0.001433 0.02205 0.004983 0.07059 0.8697 0.3745 0.03188 0.003949 1 1 0.02258 0.2682 0.642 0.06223 0.739 1.769 json
t20_x77_u0_b91 20 77 0 91 add(R,min(div(R,D),R)) 175084 165522988 o2(x,o2(o2(x,x),x)) true 109079 109079 -0.4985 0.2211 0.7698 0.4423 0.6651 -1 1 2 1 3.401 0.08809 0.01064 0.1357 0.7844 1 -0.00021 0.1631 0.1379 0.08033 0.2834 2.089 2.105 0.2232 0.3687 1 1 0.1209 0.6163 0.6898 0.2734 1.393 1.559 json
t20_x77_u0_b92 20 77 0 92 add(R,min(pow(R,D),R)) 175085 165522989 o2(x,o2(o2(x,x),x)) true 109087 109087 0.01372 0.4984 0.659 0.5457 0.7387 -1 1 2 1 4.408 0.008726 0.009756 0.09338 -0.05568 1 0.00002908 0.003164 0.02873 0.009763 0.09881 1.058 0.4602 0.03387 0.005798 1 1 0.03624 0.4079 0.9797 0.06641 0.7475 1.795 json
t20_x77_u0_b93 20 77 0 93 add(R,min(mod(R,D),R)) 175086 165522990 o2(x,o2(o2(x,x),x)) true 109095 109095 -0.1163 0.4567 0.5671 0.4097 0.6401 -1 1 2 1 4.74 0.008836 0.006718 0.0942 0.1361 1 -0.00005929 0.00958 0.06069 0.006681 0.08174 0.8677 0.4237 0.03796 0.02338 1 1 0.02664 0.2937 0.7246 0.06502 0.7167 1.768 json
t20_x77_u0_b94 20 77 0 94 add(R,min(lrg(R,D),R)) 175087 165522991 o2(x,o2(o2(x,x),x)) true 109103 109103 0.002441 0.4898 0.6566 0.5434 0.7371 -1 1 2 1 4.422 0.009395 0.009702 0.09481 -0.01608 1 0.00004339 0.004518 0.03485 0.01011 0.1005 1.061 0.5355 0.03515 0.008316 1 1 0.03672 0.4082 0.977 0.06758 0.7513 1.798 json
t20_x77_u0_b95 20 77 0 95 add(R,min(eql(R,D),R)) 175088 165522992 o2(x,o2(o2(x,x),x)) true 109111 109111 -0.1786 0.4229 0.5355 0.3565 0.597 -1 0.9804 1.98 1 4.683 0.005248 0.005892 0.07878 -0.05786 1 0.0001125 0.001381 0.0214 0.004933 0.07024 0.8915 0.3468 0.03125 0.003875 1 1 0.02169 0.2587 0.6278 0.06083 0.7256 1.761 json
t20_x77_u0_b96 20 77 0 96 add(R,min(min(R,D),R)) 175089 165522993 o2(x,o2(o2(x,x),x)) true 109119 109119 -0.2027 0.396 0.5489 0.364 0.6033 -1 1 2 1 4.685 0.006231 0.00593 0.08481 0.02475 1 0.0001181 0.001557 0.02424 0.004968 0.07049 0.8311 0.3757 0.03341 0.004278 1 1 0.02369 0.276 0.6391 0.06508 0.7583 1.756 json
t20_x77_u0_b97 20 77 0 97 add(R,min(dot(R,D),R)) 175090 165522994 o2(x,o2(o2(x,x),x)) true 109127 109127 -0.1865 0.4079 0.5473 0.3696 0.6079 -1 1 2 1 4.701 0.005726 0.006389 0.0837 -0.05467 1 0.00008094 0.001528 0.0232 0.005109 0.07148 0.854 0.3891 0.03278 0.004134 1 1 0.02356 0.2788 0.6552 0.06375 0.7543 1.773 json
t20_x77_u0_b98 20 77 0 98 add(R,min(dst(R,D),R)) 175091 165522995 o2(x,o2(o2(x,x),x)) true 109135 109135 0.01057 0.497 0.6574 0.5437 0.7373 -1 1 2 1 4.417 0.008704 0.009718 0.09342 -0.05507 1 0.00004037 0.00316 0.0287 0.009694 0.09846 1.054 0.4602 0.03388 0.005812 1 1 0.03612 0.4067 0.9754 0.06643 0.7481 1.794 json
t20_x77_u0_b99 20 77 0 99 add(R,dot(add(R,D),R)) 175092 165522996 o2(x,o2(o2(x,x),x)) true 109143 109143 0.7561 0.9734 0.7606 0.09854 0.3139 -0.2512 1 1.251 1 3.003 0.002312 0.00246 0.04329 -0.03106 1 -0.0001306 0.00135 0.01832 0.002898 0.05383 1.243 0.3647 0.04842 0.0137 1 1 0.008897 0.08779 0.1818 0.09029 0.8909 1.845 json
t20_x77_u0_b100 20 77 0 100 add(R,dot(sub(R,D),R)) 175093 165522997 o2(x,o2(o2(x,x),x)) true 109151 109151 0.7468 0.9732 0.7514 0.1005 0.317 -0.2791 1 1.279 1 3.055 0.002329 0.002424 0.04316 -0.01994 1 -0.00002756 0.001344 0.01789 0.002891 0.05377 1.246 0.3301 0.0473 0.01337 1 1 0.009042 0.09017 0.1994 0.08997 0.8972 1.984 json
t20_x77_u0_b101 20 77 0 101 add(R,dot(mlt(R,D),R)) 175094 165522998 o2(x,o2(o2(x,x),x)) true 109159 109159 0.007429 0.4968 0.401 0.2296 0.4792 -1 1 2 1 4.893 0.003274 0.00364 0.0695 -0.05303 1 0.00007149 0.000496 0.01657 0.002083 0.04564 0.6567 0.2899 0.03011 0.00216 1 1 0.01357 0.1682 0.4045 0.05909 0.7325 1.762 json
t20_x77_u0_b102 20 77 0 102 add(R,dot(div(R,D),R)) 175095 165522999 o2(x,o2(o2(x,x),x)) true 109167 109167 -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_x77_u0_b103 20 77 0 103 add(R,dot(pow(R,D),R)) 175096 165523000 o2(x,o2(o2(x,x),x)) true 109175 109175 -0.9925 0.003906 0.9997 0.01438 0.1199 -1 1 2 1 0.04341 0.001852 0.001651 0.00195 0.05733 1 7.509e-12 0.007363 0.003776 0.003496 0.05913 30.31 2.006 0.2435 0.5119 1 1 0.006208 0.02634 0.05067 0.4316 1.831 3.523 json
t20_x77_u0_b104 20 77 0 104 add(R,dot(mod(R,D),R)) 175097 165523001 o2(x,o2(o2(x,x),x)) true 109183 109183 0.4375 0.8099 0.5379 0.2075 0.4556 -0.8762 1 1.876 1 4.345 0.005438 0.005692 0.07905 -0.02274 1 -0.0002822 0.01367 0.08121 0.004882 0.06987 0.8839 0.4712 0.05363 0.06588 1 1 0.01488 0.1498 0.3943 0.0717 0.7217 1.9 json
t20_x77_u0_b105 20 77 0 105 add(R,dot(lrg(R,D),R)) 175098 165523002 o2(x,o2(o2(x,x),x)) true 109191 109191 0.4949 0.7945 0.6107 0.2578 0.5077 -1 1 2 1 3.917 0.005498 0.005797 0.0697 -0.02647 1 -0.00001908 0.006771 0.04245 0.006436 0.08022 1.151 0.5305 0.04381 0.02627 1 1 0.01915 0.185 0.4518 0.07427 0.7178 1.753 json
t20_x77_u0_b106 20 77 0 106 add(R,dot(eql(R,D),R)) 175099 165523003 o2(x,o2(o2(x,x),x)) true 109199 109199 0.009015 0.4985 0.3947 0.2196 0.4686 -0.9989 0.9806 1.979 1 4.862 0.002817 0.003192 0.06328 -0.06226 1 0.00002644 0.0004361 0.01478 0.002005 0.04477 0.7075 0.3086 0.02736 0.001986 1 1 0.01183 0.1518 0.3913 0.05389 0.6913 1.782 json