Herbie run

Date:Friday, November 8th, 2024
Commit:e1f2a9b8 on fix-1030
Hostname:nightly with Racket 8.10
Seed:2024313
Parameters:256 points for 4 iterations
Flags:
localize:costslocalize:errorsreduce:regimesreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 1.3hr)

sample18.5min (24.2%)

Memory
4 726.3MiB live, 1 056 670.0MiB allocated
Samples
7.7min3 937 411×0valid
2.6min418 662×1valid
1.2min129 451×2valid
55.5s321 359×0invalid
50.8s26 709×5exit
13.4s13 976×3valid
8.1s50 180×0exit
7.2s25 783×1invalid
2.8s19 696×1exit
550.0ms1 299×2invalid
368.0ms505×4exit
353.0ms33×4valid
290.0ms103×3exit
6.0ms2exit
Precisions
Click to see histograms. Total time spent on operations: 10.4min
ival-mult: 2.2min (21.4% of total)
ival-div: 57.2s (9.1% of total)
ival-add: 52.9s (8.5% of total)
ival-pow: 49.1s (7.9% of total)
ival-sub: 45.2s (7.2% of total)
const: 32.8s (5.2% of total)
adjust: 28.7s (4.6% of total)
ival-cos: 25.4s (4.1% of total)
ival-tan: 24.5s (3.9% of total)
ival-sin: 23.7s (3.8% of total)
ival-log: 22.6s (3.6% of total)
ival-exp: 20.2s (3.2% of total)
ival-sqrt: 18.7s (3% of total)
ival-<=: 13.6s (2.2% of total)
ival-pow2: 13.0s (2.1% of total)
ival-sinu: 7.0s (1.1% of total)
ival-cosu: 5.9s (0.9% of total)
ival-neg: 5.4s (0.9% of total)
ival-hypot: 4.9s (0.8% of total)
ival-fabs: 4.7s (0.7% of total)
exact: 3.6s (0.6% of total)
ival-<: 3.4s (0.5% of total)
ival-true: 3.0s (0.5% of total)
ival-and: 2.8s (0.4% of total)
ival-acos: 2.2s (0.4% of total)
ival-asin: 2.1s (0.3% of total)
ival-expm1: 2.1s (0.3% of total)
ival-assert: 2.0s (0.3% of total)
ival-atan2: 1.5s (0.2% of total)
ival-log1p: 1.5s (0.2% of total)
ival->: 1.4s (0.2% of total)
ival-pi: 1.2s (0.2% of total)
ival-atan: 1.1s (0.2% of total)
ival-sinh: 1.0s (0.2% of total)
ival-fmod: 941.0ms (0.2% of total)
ival-floor: 908.0ms (0.1% of total)
ival-fmin: 690.0ms (0.1% of total)
ival-==: 677.0ms (0.1% of total)
ival-cbrt: 623.0ms (0.1% of total)
ival-asinh: 572.0ms (0.1% of total)
ival-acosh: 506.0ms (0.1% of total)
ival-cosh: 487.0ms (0.1% of total)
ival-if: 391.0ms (0.1% of total)
ival-e: 359.0ms (0.1% of total)
ival-fmax: 305.0ms (0% of total)
ival->=: 294.0ms (0% of total)
ival-log2: 294.0ms (0% of total)
ival-atanh: 270.0ms (0% of total)
ival-tanu: 175.0ms (0% of total)
ival-tanh: 77.0ms (0% of total)
ival-or: 42.0ms (0% of total)
Bogosity

simplify12.4min (16.3%)

Memory
8 520.2MiB live, 552 795.1MiB allocated
Algorithm
4 483×egg-herbie
Stop Event
5 863×iter limit
3 244×node limit
1 285×saturated
unsound
Counts
167 297 → 165 294

soundness11.4min (15%)

Memory
-299.6MiB live, 323 294.2MiB allocated
Stop Event
3 446×iter limit
2 286×node limit
357×fuel
188×done
47×saturated
unsound
Compiler

Compiled 571 160 to 214 306 computations (62.5% saved)

rewrite8.0min (10.5%)

Memory
-1 159.8MiB live, 432 742.4MiB allocated
Stop Event
4 035×iter limit
1 910×node limit
54×saturated
38×unsound
Counts
27 952 → 1 116 656

localize5.7min (7.5%)

Memory
-2 208.8MiB live, 337 091.2MiB allocated
Samples
2.1min400 580×0valid
1.0min57 989×1valid
33.7s21 493×2valid
9.6s15 145×0invalid
7.0s812×5exit
4.7s2 262×3valid
1.8s2 033×1exit
1.5s1 049×2exit
1.2s1 955×0exit
891.0ms193×4exit
692.0ms369×1invalid
622.0ms149×3exit
117.0ms29×4valid
15.0ms2invalid
Compiler

Compiled 1 304 343 to 128 958 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.1min
ival-mult: 49.5s (27% of total)
ival-div: 24.7s (13.5% of total)
ival-add: 18.9s (10.3% of total)
adjust: 11.6s (6.3% of total)
ival-sin: 10.3s (5.6% of total)
ival-sub: 10.2s (5.6% of total)
ival-cos: 8.0s (4.3% of total)
const: 7.4s (4.1% of total)
ival-log: 6.4s (3.5% of total)
ival-pow: 6.2s (3.4% of total)
ival-neg: 4.8s (2.6% of total)
ival-sqrt: 4.6s (2.5% of total)
ival-pow2: 4.2s (2.3% of total)
ival-exp: 3.4s (1.9% of total)
ival-tan: 2.6s (1.4% of total)
ival-sinu: 1.6s (0.9% of total)
ival-cosu: 1.1s (0.6% of total)
ival-hypot: 917.0ms (0.5% of total)
ival-log1p: 818.0ms (0.4% of total)
ival-acos: 757.0ms (0.4% of total)
exact: 719.0ms (0.4% of total)
ival-asin: 683.0ms (0.4% of total)
ival-true: 438.0ms (0.2% of total)
ival-atan2: 389.0ms (0.2% of total)
ival-expm1: 303.0ms (0.2% of total)
ival-fabs: 303.0ms (0.2% of total)
ival-pi: 289.0ms (0.2% of total)
ival-cbrt: 262.0ms (0.1% of total)
ival-atan: 241.0ms (0.1% of total)
ival-assert: 231.0ms (0.1% of total)
ival-cosh: 173.0ms (0.1% of total)
ival-sinh: 169.0ms (0.1% of total)
ival-if: 169.0ms (0.1% of total)
ival-floor: 139.0ms (0.1% of total)
ival-fmax: 128.0ms (0.1% of total)
ival-log2: 117.0ms (0.1% of total)
ival->=: 89.0ms (0% of total)
ival-tanu: 87.0ms (0% of total)
ival-fmod: 56.0ms (0% of total)
ival-tanh: 54.0ms (0% of total)
ival-e: 48.0ms (0% of total)
ival-copysign: 23.0ms (0% of total)
ival->: 14.0ms (0% of total)
ival-<: 12.0ms (0% of total)

eval4.8min (6.3%)

Memory
686.2MiB live, 335 940.9MiB allocated
Compiler

Compiled 74 588 156 to 5 054 054 computations (93.2% saved)

regimes4.2min (5.5%)

Memory
-943.6MiB live, 260 944.2MiB allocated
Counts
108 617 → 9 051
Calls

1 235 calls:

21.6s
x
13.7s
z
13.3s
y
8.4s
i
7.6s
t
Compiler

Compiled 122 715 to 124 743 computations (-1.7% saved)

preprocess2.4min (3.2%)

Memory
1 954.4MiB live, 115 807.5MiB allocated
Algorithm
545×egg-herbie
Stop Event
1 086×iter limit
746×saturated
348×node limit
Compiler

Compiled 794 278 to 153 395 computations (80.7% saved)

series2.2min (2.9%)

Memory
641.0MiB live, 152 070.1MiB allocated
Counts
27 952 → 167 297
Calls

16332 calls:

TimeVariablePointExpression
467.0ms
x
@0
((+ (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1) (* (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1) (pow (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3))) (- (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -2) (pow (* (neg (pow (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1)) 2)) (* (neg (pow (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1)) (* (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1) (pow (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) (- (+ (/ 8890523/31250000 (pow (+ (* (fabs x) 3275911/10000000) 1) 2)) 1) (/ 31853699/125000000 (+ (* (fabs x) 3275911/10000000) 1))) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (+ (* (/ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 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1)))) (exp (neg (* (fabs x) (fabs x)))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)))) (* (fabs x) (fabs x)) (+ 1 (* 3275911/10000000 (fabs x))) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (/ (* (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* -3275911/10000000 (fabs x)) 1)) (+ (* -10731592879921/100000000000000 (* x x)) 1)))))) (exp (neg (* (fabs x) (fabs x)))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (/ (* (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* -3275911/10000000 (fabs x)) 1)) (+ (* -10731592879921/100000000000000 (* x x)) 1)))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (/ (* (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* -3275911/10000000 (fabs x)) 1)) (+ (* -10731592879921/100000000000000 (* x x)) 1)))) (/ (- 1 (pow (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) 3)) (+ (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (pow (exp x) (neg x)) (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (+ (* (fabs x) 3275911/10000000) 1))) 1)) 1)) (- 1 (pow (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) 3)) (pow (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) 3) (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (pow (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3) (pow (+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -2) (/ 8890523/31250000 (pow (+ (* (fabs x) 3275911/10000000) 1) 2)) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (* 3275911/10000000 (fabs x)) (/ (* (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* -3275911/10000000 (fabs x)) 1)) (+ (* -10731592879921/100000000000000 (* x x)) 1)) (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000))
380.0ms
h
@-inf
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357.0ms
angle
@-inf
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angle) 1/180)))
356.0ms
z
@inf
((+ (* (* (* z y) t) -9) (+ (* a (* 27 b)) (* x 2))) (* (* z y) t) (* z y) (+ (* a (* 27 b)) (* x 2)) (+ (* (neg y) (* (* t z) 9)) (+ (* (* b 27) a) (* 2 x))) (* 2 x) (+ (- (* x 2) (* (* (* y 9) z) t)) (* (* a 27) b)) (+ (* (* 27 b) a) (* x 2)) (* 27 b) (* x 2) (+ (- (* x 2) (* (* (* y 9) z) t)) (* (* a 27) b)) (+ (* y (* -9 (* z t))) (* (* a 27) b)) (* -9 (* z t)) (* z t) (+ (- (* x 2) (* (* (* y 9) z) t)) (* (* a 27) b)) (+ (* (* z t) (* -9 y)) (* (* a 27) b)) (* -9 y) (* (* a 27) b))
319.0ms
dX.u
@inf
((pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* dY.u (floor w)) 2))) 1/4) 2) (- (* dY.v (* dX.u (floor w))) (* (* dY.u (floor w)) dX.v)) (log2 (if (> (/ (fmax (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2)) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2))) (fabs (* (floor h) (- (* dY.v (* dX.u (floor w))) (* (* dY.u (floor w)) dX.v))))) (floor maxAniso)) (/ (pow (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* dY.u (floor w)) 2))) 1/4) 2) (floor maxAniso)) (/ (fabs (* (floor h) (- (* dY.v (* dX.u (floor w))) (* (* dY.u (floor w)) dX.v)))) (sqrt (fmax (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2)) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2))))))) (> (/ (fmax (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2)) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2))) (fabs (* (floor h) (- (* dY.v (* dX.u (floor w))) (* (* dY.u (floor w)) dX.v))))) (floor maxAniso)) (* (* (pow (floor h) 2) dX.v) dX.v) (* (* (pow (floor h) 2) dY.v) dY.v) (+ (* (* (pow (floor w) 2) dX.u) dX.u) (* (* (pow (floor h) 2) dX.v) dX.v)) (+ (* (* (pow (floor w) 2) dY.u) dY.u) (* (* (pow (floor h) 2) dY.v) dY.v)) (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (pow (* (floor h) dX.v) 2)) (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))) (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* (floor w) dY.u) (* (floor w) dY.u)) (/ (fmax (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2)) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2))) (fabs (* (floor h) (- (* dY.v (* dX.u (floor w))) (* (* dY.u (floor w)) dX.v))))) (pow (fmax (+ (pow (* (floor w) dX.u) 2) (pow (* (floor h) dX.v) 2)) (+ (pow (* (floor h) dY.v) 2) (pow (* dY.u (floor w)) 2))) 1/4) (sqrt (fmax (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2)) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2)))) (/ (fabs (* (floor h) (- (* dY.v (* dX.u (floor w))) (* (* dY.u (floor w)) dX.v)))) (sqrt (fmax (+ (pow (* dX.v (floor h)) 2) (pow (* dX.u (floor w)) 2)) (+ (pow (* dY.v (floor h)) 2) (pow (* dY.u (floor w)) 2))))) (+ (* (neg dY.v) dX.u) (* dX.v dY.u)) (+ (* (neg dY.v) dX.u) (* dY.u dX.v)) (+ (* (* dX.u -1) dY.v) (* dX.v dY.u)) (+ (* dY.u (floor w)) (* dY.v (floor h))) (+ (* (/ (* (* dY.u dY.u) (pow (floor w) 4)) (+ (* dY.u (floor w)) (* dY.v (floor h)))) (/ (* dY.u dY.u) (- (* dY.u (floor w)) (* dY.v (floor h))))) (neg (/ (pow (* dY.v (floor h)) 4) (- (pow (* dY.u (floor w)) 2) (pow (* dY.v (floor h)) 2))))) (/ (pow (* dY.v (floor h)) 4) (- (pow (* dY.u (floor w)) 2) (pow (* dY.v (floor h)) 2))) (/ (fmax (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v))) (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (fabs (- (* (* (floor w) dX.u) (* (floor h) dY.v)) (* (* (floor h) dX.v) (* (floor w) dY.u))))))

prune2.1min (2.8%)

Memory
-3 775.6MiB live, 173 934.2MiB allocated
Counts
1 287 211 → 40 707
Compiler

Compiled 4 013 235 to 1 740 409 computations (56.6% saved)

explain2.1min (2.7%)

Memory
-2 365.6MiB live, 138 543.8MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64#fcancellation901545
sqrt.f64#foflow-rescue55330
log.f64#fsensitivity36943
cos.f64#fsensitivity34732
+.f64#fcancellation3105110
sin.f64#fsensitivity20852
/.f64#fo/n20210
/.f64#fo/o18680
-.f64#fnan-rescue15310
*.f64#fn*o11250
log.f32#fsensitivity111292
/.f64#fn/o10250
/.f64#fu/u9940
sqrt.f64#fuflow-rescue8980
+.f64#fnan-rescue8600
/.f64#fu/n6730
acos.f64#fsensitivity5323
sqrt.f32#foflow-rescue5080
*.f64#fn*u5010
tan.f64#fsensitivity4260
-.f32#fcancellation40223
pow.f64#fsensitivity39855
/.f64#fn/u3260
-.f64(-.f64 (*.f64 #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) t) #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))oflow-left2360
exp.f64#fsensitivity20225
cos.f32#fsensitivity18712
cos.f64#foflow-rescue1820
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))cancellation17712
pow.f64#foflow-rescue1740
*.f64#fu*o1410
asin.f64(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))sensitivity1270
*.f64#fo*u1240
/.f32#fo/n1220
log.f64#foflow-rescue1110
log.f64#fuflow-rescue680
cbrt.f64#foflow-rescue590
pow.f64#fuflow-rescue450
sin.f64#foflow-rescue400
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue390
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow39
cbrt.f64#fuflow-rescue390
exp.f32#fsensitivity317
sqrt.f32(sqrt.f32 (-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))))uflow-rescue210
(*.f32 sinTheta_O sinTheta_O)underflow278
(-.f32 (*.f32 eta eta) (/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O)))))underflow21
(/.f32 (*.f32 sinTheta_O sinTheta_O) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_O))))underflow139
(*.f32 eta eta)underflow20
/.f32#fu/n170
/.f32#fo/o100
/.f32(/.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))n/o70
(/.f32 sin2phi (*.f32 alphay alphay))overflow21
(+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))overflow21
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*u20
log.f32#foflow-rescue20
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))u*o10
(*.f32 u normAngle)underflow3
(sin.f32 (*.f32 u normAngle))underflow3
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))overflow1
*.f32(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o10
Confusion
Predicted +Predicted -
+31310989
-6109101112
Precision
0.8367406932307117
Recall
0.9693798569615159
Confusion?
Predicted +Predicted MaybePredicted -
+31310233756
-6109402100710
Precision?
0.8289010353707889
Recall?
0.9765937025914115
Freqs
test
numberfreq
0102101
131393
24852
3608
4330
5151
659
718
84
93
101
Total Confusion?
Predicted +Predicted MaybePredicted -
+34643
-143175
Precision?
0.9536784741144414
Recall?
0.9915014164305949
Samples
27.0s236 214×0valid
11.4s30 960×1valid
7.1s10 596×2valid
990.0ms1 156×3valid
14.0ms104×1exit
5.0ms10×5exit
Compiler

Compiled 135 797 to 25 702 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.4s
ival-mult: 6.9s (21.9% of total)
ival-div: 3.4s (10.9% of total)
ival-add: 3.2s (10.1% of total)
ival-sub: 3.0s (9.6% of total)
ival-sin: 2.2s (7.1% of total)
ival-log: 1.7s (5.3% of total)
adjust: 1.7s (5.3% of total)
ival-cos: 1.5s (4.6% of total)
ival-exp: 1.1s (3.6% of total)
ival-tan: 1.0s (3.3% of total)
ival-sqrt: 906.0ms (2.9% of total)
ival-pow2: 739.0ms (2.4% of total)
const: 635.0ms (2% of total)
ival-pow: 490.0ms (1.6% of total)
ival-cosu: 380.0ms (1.2% of total)
ival-sinu: 375.0ms (1.2% of total)
ival-hypot: 257.0ms (0.8% of total)
ival-true: 255.0ms (0.8% of total)
ival-neg: 236.0ms (0.8% of total)
exact: 176.0ms (0.6% of total)
ival-acos: 145.0ms (0.5% of total)
ival-assert: 126.0ms (0.4% of total)
ival-fabs: 103.0ms (0.3% of total)
ival-atan2: 102.0ms (0.3% of total)
ival-asin: 98.0ms (0.3% of total)
ival-log1p: 97.0ms (0.3% of total)
ival-pi: 91.0ms (0.3% of total)
ival-atan: 85.0ms (0.3% of total)
ival-cbrt: 83.0ms (0.3% of total)
ival-sinh: 71.0ms (0.2% of total)
ival-copysign: 67.0ms (0.2% of total)
ival-floor: 42.0ms (0.1% of total)
ival-expm1: 31.0ms (0.1% of total)
ival-if: 30.0ms (0.1% of total)
ival-fmod: 30.0ms (0.1% of total)
ival-fmax: 17.0ms (0.1% of total)
ival-e: 16.0ms (0.1% of total)
ival-tanu: 12.0ms (0% of total)
ival-log2: 12.0ms (0% of total)
ival-cosh: 11.0ms (0% of total)
ival->=: 9.0ms (0% of total)
ival-tanh: 7.0ms (0% of total)
ival->: 3.0ms (0% of total)
ival-<: 1.0ms (0% of total)

analyze1.4min (1.8%)

Memory
642.2MiB live, 91 965.3MiB allocated
Algorithm
548×search
random
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%84.5%15.5%0%0%0%0
40%33.8%50.7%15.5%0%0%0%1
46%38.5%45.2%15.5%0%0.8%0%2
54.6%44.6%37.1%15.5%0%2.8%0%3
61.4%49.6%31.2%15.5%0%3.8%0%4
67.7%54.3%26%15.5%0%4.2%0%5
71.6%57.2%22.7%15.5%0%4.6%0%6
75.6%59.9%19.4%15.5%0%5.2%0%7
77.5%61.2%17.7%15.5%0%5.6%0%8
80.1%63%15.6%15.5%0%5.9%0%9
81.7%64%14.3%15.5%0%6.2%0%10
83.9%65.6%12.6%15.5%0%6.4%0%11
85%66.3%11.7%15.5%0%6.6%0%12
Compiler

Compiled 12 580 to 7 848 computations (37.6% saved)

bsearch1.0min (1.4%)

Memory
-242.6MiB live, 62 376.2MiB allocated
Algorithm
2 661×binary-search
1 971×left-value
Stop Event
2 564×narrow-enough
96×predicate-same
predicate-failed
Samples
32.1s195 765×0valid
5.9s12 394×1valid
1.2s1 823×2valid
938.0ms7 068×0invalid
166.0ms242×3valid
31.0ms139×0exit
15.0ms63×1invalid
1.0ms5exit
0.0ms1exit
Compiler

Compiled 1 681 190 to 1 111 572 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.3s
ival-mult: 10.1s (34.4% of total)
ival-sub: 4.3s (14.7% of total)
ival-div: 2.9s (10% of total)
ival-add: 2.8s (9.5% of total)
ival-sin: 1.8s (6.1% of total)
ival-cos: 1.5s (4.9% of total)
ival-log: 810.0ms (2.8% of total)
const: 755.0ms (2.6% of total)
ival-pow: 622.0ms (2.1% of total)
adjust: 569.0ms (1.9% of total)
ival-sqrt: 537.0ms (1.8% of total)
ival-pow2: 515.0ms (1.8% of total)
ival-hypot: 375.0ms (1.3% of total)
ival-exp: 371.0ms (1.3% of total)
ival-sinu: 231.0ms (0.8% of total)
ival-tan: 167.0ms (0.6% of total)
ival-true: 167.0ms (0.6% of total)
ival-cosu: 156.0ms (0.5% of total)
ival-neg: 147.0ms (0.5% of total)
ival-atan2: 136.0ms (0.5% of total)
exact: 97.0ms (0.3% of total)
ival-assert: 90.0ms (0.3% of total)
ival-acos: 58.0ms (0.2% of total)
ival-fabs: 42.0ms (0.1% of total)
ival-atan: 29.0ms (0.1% of total)
ival-e: 25.0ms (0.1% of total)
ival-log1p: 17.0ms (0.1% of total)
ival-asin: 10.0ms (0% of total)
ival-cbrt: 10.0ms (0% of total)
ival-expm1: 9.0ms (0% of total)
ival-pi: 7.0ms (0% of total)
ival-if: 5.0ms (0% of total)
ival-tanh: 4.0ms (0% of total)
ival-cosh: 4.0ms (0% of total)
ival->=: 4.0ms (0% of total)
ival-sinh: 3.0ms (0% of total)

start19.0ms (0%)

Memory
40.9MiB live, 40.2MiB allocated

end3.0ms (0%)

Memory
8.7MiB live, 8.0MiB allocated

Profiling

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