Herbie run

Date:Sunday, November 3rd, 2024
Commit:0ff0acad on autofix-1-1
Hostname:nightly with Racket 8.10
Seed:2024308
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: 8.5min)

sample2.1min (25%)

Memory
695.3MiB live, 94 121.0MiB allocated
Samples
54.7s438 764×0valid
6.9s22 198×1valid
4.3s8 785×2valid
2.4s4 223×0invalid
1.1s8 860×0exit
530.0ms863×3valid
Precisions
Click to see histograms. Total time spent on operations: 48.7s
ival-mult: 12.9s (26.5% of total)
ival-add: 5.9s (12.2% of total)
const: 5.1s (10.4% of total)
ival-div: 4.3s (8.8% of total)
ival-exp: 2.8s (5.7% of total)
ival-sub: 2.5s (5.1% of total)
ival-hypot: 2.3s (4.7% of total)
ival-log: 2.3s (4.7% of total)
ival-asin: 1.3s (2.6% of total)
ival-atan2: 1.2s (2.4% of total)
adjust: 1.2s (2.4% of total)
ival-sin: 1.1s (2.2% of total)
ival-sqrt: 946.0ms (1.9% of total)
ival-cos: 908.0ms (1.9% of total)
ival-<=: 485.0ms (1% of total)
ival-asinh: 359.0ms (0.7% of total)
exact: 349.0ms (0.7% of total)
ival-pow: 318.0ms (0.7% of total)
ival-pi: 316.0ms (0.6% of total)
ival->: 294.0ms (0.6% of total)
ival-acosh: 293.0ms (0.6% of total)
ival-sinu: 292.0ms (0.6% of total)
ival-neg: 282.0ms (0.6% of total)
ival-true: 276.0ms (0.6% of total)
ival-fabs: 193.0ms (0.4% of total)
ival-atanh: 188.0ms (0.4% of total)
ival-assert: 185.0ms (0.4% of total)
ival->=: 125.0ms (0.3% of total)
ival-cosu: 94.0ms (0.2% of total)
ival-and: 80.0ms (0.2% of total)
Bogosity

soundness1.5min (17.1%)

Memory
75.4MiB live, 32 316.8MiB allocated
Stop Event
344×iter limit
217×node limit
36×fuel
21×done
4×saturated
2×unsound
Compiler

Compiled 55 729 to 20 144 computations (63.9% saved)

simplify1.2min (14.3%)

Memory
424.1MiB live, 58 450.8MiB allocated
Algorithm
457×egg-herbie
Stop Event
599×iter limit
318×node limit
140×saturated
Counts
15 965 → 15 801

rewrite54.6s (10.7%)

Memory
162.7MiB live, 44 660.6MiB allocated
Stop Event
420×iter limit
192×node limit
6×saturated
3×unsound
Counts
2 868 → 107 940

regimes40.4s (7.9%)

Memory
-33.2MiB live, 16 719.0MiB allocated
Counts
8 728 → 886
Calls

132 calls:

15.2s
(-.f64 #s(literal 1 binary64) x)
11.2s
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
1.2s
re
761.0ms
im
727.0ms
y.re
Compiler

Compiled 12 786 to 9 366 computations (26.7% saved)

localize32.9s (6.4%)

Memory
30.5MiB live, 39 112.3MiB allocated
Samples
13.5s42 099×0valid
5.1s4 174×1valid
3.9s1 828×2valid
988.0ms2 163×0invalid
453.0ms354×0exit
269.0ms459×1exit
218.0ms123×3valid
Compiler

Compiled 167 480 to 13 573 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0s
ival-mult: 4.9s (27.2% of total)
ival-add: 2.5s (13.6% of total)
ival-div: 2.0s (11.2% of total)
const: 1.4s (7.7% of total)
ival-pow: 1.3s (7.1% of total)
adjust: 1.2s (6.6% of total)
ival-log: 735.0ms (4.1% of total)
ival-sub: 652.0ms (3.6% of total)
ival-exp: 612.0ms (3.4% of total)
ival-hypot: 537.0ms (3% of total)
ival-acos: 330.0ms (1.8% of total)
ival-neg: 263.0ms (1.5% of total)
ival-asin: 258.0ms (1.4% of total)
ival-sin: 247.0ms (1.4% of total)
ival-sqrt: 229.0ms (1.3% of total)
ival-log1p: 171.0ms (0.9% of total)
ival-cos: 133.0ms (0.7% of total)
ival-pow2: 121.0ms (0.7% of total)
ival-pi: 88.0ms (0.5% of total)
exact: 81.0ms (0.4% of total)
ival-atan2: 76.0ms (0.4% of total)
ival-copysign: 75.0ms (0.4% of total)
ival-fabs: 55.0ms (0.3% of total)
ival-true: 44.0ms (0.2% of total)
ival-assert: 21.0ms (0.1% of total)
ival-cosh: 16.0ms (0.1% of total)
ival-cosu: 16.0ms (0.1% of total)
ival-sinu: 14.0ms (0.1% of total)
ival-cbrt: 11.0ms (0.1% of total)

eval32.8s (6.4%)

Memory
304.7MiB live, 40 838.2MiB allocated
Compiler

Compiled 9 004 629 to 574 750 computations (93.6% saved)

explain16.1s (3.1%)

Memory
-206.8MiB live, 16 709.9MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue12240
-.f64#fcancellation7573
/.f64#fo/o6350
sqrt.f32#foflow-rescue2060
sin.f64#fsensitivity1892
cos.f64(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))sensitivity1870
/.f64#fo/n1870
+.f64#fcancellation1781
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1271
sqrt.f64#fuflow-rescue1140
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1030
-.f64#fnan-rescue1000
/.f64#fn/o860
*.f64#fn*u770
/.f64#fu/u550
*.f64#fn*o440
+.f64#fnan-rescue430
/.f64#fu/n370
exp.f64#fsensitivity40
/.f64#fn/u30
pow.f64(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))sensitivity20
cos.f64(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))oflow-rescue20
↳(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))overflow2
↳(*.f64 (atan2.f64 x.im x.re) y.re)overflow1
↳(*.f64 x.re x.re)overflow56
↳(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow102
↳(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)overflow1
↳(*.f64 x.im x.im)overflow61
sin.f64(sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))oflow-rescue20
↳(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))overflow2
↳(*.f64 (atan2.f64 x.im x.re) y.re)overflow1
↳(*.f64 x.re x.re)overflow56
↳(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow102
↳(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)overflow1
↳(*.f64 x.im x.im)overflow61
*.f64(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))o*u20
↳(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))overflow2
↳(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))overflow2
↳(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))underflow2
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
↳(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
↳(*.f32 x x)overflow127
↳(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow127
Confusion
Predicted +Predicted -
+358582
-22410701
Precision
0.9411919138881596
Recall
0.9776383965094082
Confusion?
Predicted +Predicted MaybePredicted -
+3585676
-224310698
Precision?
0.9405447878470403
Recall?
0.9792746113989638
Freqs
test
numberfreq
010783
13255
2552
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+3511
-2018
Precision?
0.9473684210526315
Recall?
0.972972972972973
Samples
3.0s25 846×0valid
1.2s2 366×1valid
853.0ms916×2valid
19.0ms56×3valid
Compiler

Compiled 19 577 to 2 968 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.7s
ival-mult: 1.0s (28.4% of total)
ival-add: 500.0ms (13.6% of total)
ival-div: 324.0ms (8.8% of total)
const: 271.0ms (7.4% of total)
ival-hypot: 249.0ms (6.8% of total)
adjust: 220.0ms (6% of total)
ival-log: 209.0ms (5.7% of total)
ival-exp: 197.0ms (5.4% of total)
ival-sub: 164.0ms (4.5% of total)
ival-asin: 71.0ms (1.9% of total)
ival-sin: 61.0ms (1.7% of total)
ival-atan2: 60.0ms (1.6% of total)
ival-cos: 50.0ms (1.4% of total)
ival-fabs: 46.0ms (1.3% of total)
ival-sqrt: 44.0ms (1.2% of total)
ival-pow: 34.0ms (0.9% of total)
ival-true: 26.0ms (0.7% of total)
ival-neg: 25.0ms (0.7% of total)
exact: 20.0ms (0.5% of total)
ival-pi: 17.0ms (0.5% of total)
ival-assert: 12.0ms (0.3% of total)
ival-copysign: 11.0ms (0.3% of total)
ival-log1p: 7.0ms (0.2% of total)
ival-sinu: 7.0ms (0.2% of total)
ival-cosu: 6.0ms (0.2% of total)

preprocess14.9s (2.9%)

Memory
111.7MiB live, 12 633.5MiB allocated
Algorithm
57×egg-herbie
Stop Event
114×iter limit
77×saturated
37×node limit
Compiler

Compiled 77 710 to 14 853 computations (80.9% saved)

series13.5s (2.6%)

Memory
-225.3MiB live, 14 173.9MiB allocated
Counts
2 868 → 15 965
Calls

1233 calls:

TimeVariablePointExpression
496.0ms
y.re
@0
((/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (- (/ (* x.im y.re) y.im) x.re) y.im) (- (/ (* x.im y.re) y.im) x.re) (/ (* x.im y.re) y.im) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ x.re (neg y.im)) (neg y.im) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (* (neg x.re) (/ y.im (+ (* y.im y.im) (* y.re y.re)))) (neg x.re) (/ y.im (+ (* y.im y.im) (* y.re y.re))) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (- x.im (/ (* x.re y.im) y.re)) y.re) (- x.im (/ (* x.re y.im) y.re)) (* (neg x.re) (/ y.im y.re)) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* (neg x.re) (/ y.im y.re)) x.im) y.re) (+ (* (neg x.re) (/ y.im y.re)) x.im) (+ (* y.im y.im) (* y.re y.re)))
410.0ms
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))) (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1))) 1) (+ (* (fabs x) 3275911/10000000) 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))) (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))) (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1))) 1) (+ (* (fabs x) 3275911/10000000) 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))) (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))) (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1))) 1) (+ (* (fabs x) 3275911/10000000) 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))) (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))) (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1))) 1) (+ (* (fabs x) 3275911/10000000) 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))) (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))) (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1))) 1) (+ (* (fabs x) 3275911/10000000) 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))) (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))) (/ (pow (exp x) (neg x)) (+ (* 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x
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300.0ms
x
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(/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 2)) 1) (/ 1 (* (- -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)))))) (exp (neg (* (fabs x) (fabs x)))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (* (* (- 79041399213529/976562500000000 (pow (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 2)) 1) (/ 1 (* (- -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)))))) (* (* (- 79041399213529/976562500000000 (pow (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 2)) 1) (/ 1 (* (- -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)))) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (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) (+ (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 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)) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 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) (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (* (fabs x) 3275911/10000000) (/ (+ (* (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (neg (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) -1421413741/1000000000)) (* (+ (* (fabs x) 3275911/10000000) 1) (neg (+ (* (fabs x) 3275911/10000000) 1)))) (* 3275911/10000000 (fabs x)) (/ 1 (* (- -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1))))
279.0ms
y.re
@-inf
((+ (* x.re x.re) (* x.im x.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (* (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (cos (* (atan2 x.im x.re) y.re))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (sqrt (+ (* x.im x.im) (* x.re x.re))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.im) (cos (* (atan2 x.im x.re) y.re)) (* (atan2 x.im x.re) y.re) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im)) (sqrt (+ (* x.re x.re) (* x.im x.im))) (/ (* x.re x.re) x.im) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))) (sin (* (atan2 x.im x.re) y.re)))

prune10.4s (2%)

Memory
-123.3MiB live, 15 331.6MiB allocated
Counts
139 177 → 3 216
Compiler

Compiled 339 805 to 136 566 computations (59.8% saved)

bsearch5.0s (1%)

Memory
38.7MiB live, 4 457.3MiB allocated
Algorithm
243×binary-search
208×left-value
Stop Event
228×narrow-enough
15×predicate-same
Samples
1.9s14 592×0valid
856.0ms1 808×1valid
64.0ms130×2valid
8.0ms30×3valid
Compiler

Compiled 140 166 to 81 331 computations (42% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-mult: 805.0ms (37.8% of total)
ival-hypot: 206.0ms (9.7% of total)
ival-log: 164.0ms (7.7% of total)
adjust: 145.0ms (6.8% of total)
ival-add: 141.0ms (6.6% of total)
ival-sub: 139.0ms (6.5% of total)
ival-atan2: 100.0ms (4.7% of total)
ival-exp: 97.0ms (4.6% of total)
ival-sin: 92.0ms (4.3% of total)
ival-cos: 86.0ms (4% of total)
ival-div: 73.0ms (3.4% of total)
const: 48.0ms (2.3% of total)
ival-true: 12.0ms (0.6% of total)
ival-sqrt: 11.0ms (0.5% of total)
ival-assert: 6.0ms (0.3% of total)
exact: 4.0ms (0.2% of total)

analyze2.5s (0.5%)

Memory
23.9MiB live, 3 282.3MiB allocated
Algorithm
58×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%86.3%13.7%0%0%0%0
55.4%47.8%38.5%13.7%0%0%0%1
65.9%55.7%28.9%13.7%0%1.7%0%2
71.2%58.4%23.6%13.7%0%4.3%0%3
77.4%62%18.1%13.7%0%6.2%0%4
83.5%66.8%13.2%13.7%0%6.3%0%5
85.8%68.3%11.3%13.7%0%6.6%0%6
88.3%70.3%9.4%13.7%0%6.6%0%7
89.9%71.5%8%13.7%0%6.8%0%8
91.1%72.5%7.1%13.7%0%6.8%0%9
92.6%73.6%5.9%13.7%0%6.8%0%10
94%74.7%4.8%13.7%0%6.8%0%11
94.5%75.1%4.4%13.7%0%6.9%0%12
Compiler

Compiled 1 498 to 816 computations (45.5% saved)

start2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated

end0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated

Profiling

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