Herbie run

Date:Wednesday, November 13th, 2024
Commit:b0f482cc on pavel-concrete-values
Hostname:nightly with Racket 8.10
Seed:2024318
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: 8.4min)

sample2.0min (24.1%)

Memory
115.5MiB live, 99 370.0MiB allocated
Samples
1.2min438 549×0valid
7.0s22 349×1valid
4.4s8 772×2valid
2.5s4 571×0invalid
802.0ms8 416×0exit
334.0ms935×3valid
Precisions
Click to see histograms. Total time spent on operations: 54.0s
ival-mult: 18.2s (33.7% of total)
ival-add: 6.3s (11.7% of total)
const: 4.4s (8.2% of total)
ival-div: 4.1s (7.5% of total)
ival-exp: 2.9s (5.3% of total)
ival-sub: 2.6s (4.8% of total)
ival-hypot: 2.3s (4.3% of total)
ival-log: 2.1s (3.9% of total)
ival-asin: 1.3s (2.5% of total)
ival-sin: 1.3s (2.4% of total)
adjust: 1.2s (2.1% of total)
ival-cos: 959.0ms (1.8% of total)
ival-sqrt: 830.0ms (1.5% of total)
ival-atan2: 766.0ms (1.4% of total)
ival-acosh: 588.0ms (1.1% of total)
ival-pi: 448.0ms (0.8% of total)
ival-asinh: 412.0ms (0.8% of total)
exact: 382.0ms (0.7% of total)
ival-<=: 356.0ms (0.7% of total)
ival-pow: 334.0ms (0.6% of total)
ival->: 330.0ms (0.6% of total)
ival-sinu: 314.0ms (0.6% of total)
ival-true: 295.0ms (0.5% of total)
ival-cosu: 279.0ms (0.5% of total)
ival-atanh: 240.0ms (0.4% of total)
ival-assert: 198.0ms (0.4% of total)
ival-neg: 190.0ms (0.4% of total)
ival-fabs: 174.0ms (0.3% of total)
ival->=: 86.0ms (0.2% of total)
ival-and: 77.0ms (0.1% of total)
Bogosity

soundness1.5min (17.3%)

Memory
-272.1MiB live, 34 520.3MiB allocated
Stop Event
366×iter limit
236×node limit
39×fuel
18×done
2×saturated
2×unsound
Compiler

Compiled 63 083 to 22 459 computations (64.4% saved)

simplify1.2min (14.4%)

Memory
67.1MiB live, 59 394.3MiB allocated
Algorithm
465×egg-herbie
Stop Event
610×iter limit
326×node limit
143×saturated
Counts
14 863 → 14 701

rewrite49.3s (9.7%)

Memory
177.0MiB live, 45 137.3MiB allocated
Stop Event
430×iter limit
194×node limit
9×saturated
4×unsound
Counts
2 861 → 109 319

preprocess40.6s (8%)

Memory
543.8MiB live, 12 428.9MiB allocated
Algorithm
57×egg-herbie
Stop Event
114×iter limit
77×saturated
37×node limit
Compiler

Compiled 85 458 to 16 467 computations (80.7% saved)

eval37.2s (7.3%)

Memory
526.0MiB live, 41 045.1MiB allocated
Compiler

Compiled 10 033 892 to 554 498 computations (94.5% saved)

localize33.9s (6.7%)

Memory
155.2MiB live, 36 754.5MiB allocated
Samples
13.2s41 742×0valid
5.4s4 086×1valid
3.4s1 690×2valid
2.1s3 696×0invalid
436.0ms225×5exit
390.0ms524×1exit
215.0ms124×2exit
68.0ms71×3valid
29.0ms56×0exit
18.0ms10×3exit
Compiler

Compiled 74 346 to 6 500 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.3s
ival-mult: 5.5s (30.1% of total)
ival-add: 2.5s (13.7% of total)
ival-div: 2.1s (11.5% of total)
const: 1.2s (6.8% of total)
adjust: 1.1s (6.1% of total)
ival-pow: 921.0ms (5% of total)
ival-exp: 700.0ms (3.8% of total)
ival-log: 641.0ms (3.5% of total)
ival-hypot: 624.0ms (3.4% of total)
ival-sub: 619.0ms (3.4% of total)
ival-asin: 280.0ms (1.5% of total)
ival-sqrt: 267.0ms (1.5% of total)
ival-acos: 233.0ms (1.3% of total)
ival-atan2: 215.0ms (1.2% of total)
ival-cos: 211.0ms (1.2% of total)
ival-neg: 206.0ms (1.1% of total)
ival-sin: 175.0ms (1% of total)
ival-pow2: 170.0ms (0.9% of total)
ival-cosh: 94.0ms (0.5% of total)
exact: 89.0ms (0.5% of total)
ival-pi: 83.0ms (0.5% of total)
ival-fabs: 73.0ms (0.4% of total)
ival-copysign: 55.0ms (0.3% of total)
ival-log1p: 54.0ms (0.3% of total)
ival-true: 46.0ms (0.3% of total)
ival-assert: 25.0ms (0.1% of total)
ival-sinu: 16.0ms (0.1% of total)
ival-cosu: 12.0ms (0.1% of total)
ival-cbrt: 5.0ms (0% of total)
ival-sinh: 2.0ms (0% of total)

explain16.1s (3.2%)

Memory
-293.3MiB live, 17 427.3MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue11770
-.f64#fcancellation7722
/.f64#fo/o6460
/.f64#fo/n1990
sqrt.f32#foflow-rescue1930
sin.f64#fsensitivity1800
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)))sensitivity1760
+.f64#fcancellation1530
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1330
sqrt.f64#fuflow-rescue1220
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1093
/.f64#fn/o800
-.f64#fnan-rescue790
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u620
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow94
↳(*.f64 i i)underflow124
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow62
*.f64#fn*u560
+.f64#fnan-rescue380
/.f64#fu/n360
*.f64#fn*o270
/.f64#fn/u80
exp.f64#fsensitivity30
*.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*u30
↳(*.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))))overflow4
↳(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)))overflow4
↳(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))))underflow3
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue20
↳(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow2
↳(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow72
↳(*.f32 x x)overflow72
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-rescue10
↳(+.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))overflow1
↳(*.f64 x.re x.re)overflow64
↳(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow114
↳(*.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-rescue10
↳(+.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))overflow1
↳(*.f64 x.re x.re)overflow64
↳(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow114
↳(*.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
Confusion
Predicted +Predicted -
+355782
-17810775
Precision
0.952342704149933
Recall
0.9774663369057434
Confusion?
Predicted +Predicted MaybePredicted -
+3557280
-178410771
Precision?
0.9513499064421278
Recall?
0.9780159384446276
Freqs
test
numberfreq
010857
13219
2511
35
Total Confusion?
Predicted +Predicted MaybePredicted -
+3601
-0020
Precision?
1.0
Recall?
0.972972972972973
Samples
3.3s25 876×0valid
1.7s2 428×1valid
614.0ms836×2valid
15.0ms42×3valid
1.0ms2×5exit
Compiler

Compiled 13 558 to 2 283 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-mult: 1.2s (28% of total)
adjust: 448.0ms (10.7% of total)
ival-add: 433.0ms (10.4% of total)
ival-div: 374.0ms (9% of total)
ival-hypot: 360.0ms (8.6% of total)
const: 282.0ms (6.8% of total)
ival-log: 225.0ms (5.4% of total)
ival-asin: 189.0ms (4.5% of total)
ival-sub: 143.0ms (3.4% of total)
ival-exp: 142.0ms (3.4% of total)
ival-sin: 77.0ms (1.8% of total)
ival-sqrt: 58.0ms (1.4% of total)
ival-atan2: 50.0ms (1.2% of total)
ival-cos: 49.0ms (1.2% of total)
ival-true: 28.0ms (0.7% of total)
ival-pow: 23.0ms (0.6% of total)
exact: 21.0ms (0.5% of total)
ival-fabs: 19.0ms (0.5% of total)
ival-pi: 17.0ms (0.4% of total)
ival-neg: 17.0ms (0.4% of total)
ival-log1p: 16.0ms (0.4% of total)
ival-assert: 13.0ms (0.3% of total)
ival-copysign: 12.0ms (0.3% of total)
ival-sinu: 7.0ms (0.2% of total)
ival-cosu: 6.0ms (0.1% of total)

regimes16.0s (3.2%)

Memory
-258.1MiB live, 16 995.0MiB allocated
Counts
8 672 → 916
Calls

132 calls:

1.1s
im
991.0ms
re
911.0ms
x
634.0ms
y.re
481.0ms
beta
Compiler

Compiled 13 420 to 9 565 computations (28.7% saved)

series13.1s (2.6%)

Memory
300.1MiB live, 14 588.8MiB allocated
Counts
2 861 → 14 863
Calls

1269 calls:

TimeVariablePointExpression
424.0ms
x
@0
((/ (- (* 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) (+ (* (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) (pow (/ (+ (/ (+ (/ (+ (/ (+ (/ (* (+ (* -3275911/10000000 (fabs x)) 1) 1061405429/1000000000) (+ (* -10731592879921/100000000000000 (* x x)) 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))) (- (* 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) (+ (* (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) (pow (/ (+ (/ (+ (/ (+ (/ (+ (/ (* (+ (* -3275911/10000000 (fabs x)) 1) 1061405429/1000000000) (+ (* -10731592879921/100000000000000 (* x x)) 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))) (* 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)) (* (+ (* -3275911/10000000 (fabs x)) 1) 1061405429/1000000000) (neg (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (pow (exp x) (neg x)) (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 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1421413741/1000000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (* (/ 1061405429/1000000000 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) -1453152027/1000000000)))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 1421413741/1000000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (* (/ 1061405429/1000000000 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) -1453152027/1000000000)))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (* (/ 1061405429/1000000000 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) -1453152027/1000000000)) (neg (+ (* (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) (neg (+ (* (fabs x) 3275911/10000000) 1)))) 1) (pow (exp x) (neg x)) (exp x) (+ (* (pow (+ (* (fabs x) 3275911/10000000) 1) -1) (neg (/ (+ (/ (+ (/ (+ (/ (+ (/ 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)))) 1) (neg (/ (+ (/ (+ (/ (+ (/ (+ (/ 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))) (pow (+ (* (fabs x) 3275911/10000000) 1) -1) (+ (* (fabs x) 3275911/10000000) 1) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (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)) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 1421413741/1000000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (* (/ 1061405429/1000000000 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) -1453152027/1000000000)))))))) (exp (neg (* (fabs x) (fabs x)))))) (+ (* (/ 1061405429/1000000000 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) -1453152027/1000000000) (+ 1421413741/1000000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (* (/ 1061405429/1000000000 (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) -1453152027/1000000000))) (* 3275911/10000000 (fabs x)))

prune10.5s (2.1%)

Memory
-556.3MiB live, 14 396.3MiB allocated
Counts
136 823 → 3 153
Compiler

Compiled 298 949 to 128 417 computations (57% saved)

bsearch4.1s (0.8%)

Memory
62.8MiB live, 4 182.5MiB allocated
Algorithm
241×binary-search
225×left-value
Stop Event
233×narrow-enough
8×predicate-same
Samples
1.8s14 146×0valid
614.0ms1 427×1valid
45.0ms110×2valid
4.0ms13×3valid
Compiler

Compiled 148 648 to 83 394 computations (43.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 624.0ms (33.1% of total)
ival-hypot: 233.0ms (12.4% of total)
ival-sin: 174.0ms (9.2% of total)
ival-add: 165.0ms (8.8% of total)
ival-sub: 154.0ms (8.2% of total)
ival-log: 99.0ms (5.3% of total)
ival-exp: 85.0ms (4.5% of total)
adjust: 73.0ms (3.9% of total)
ival-cos: 68.0ms (3.6% of total)
ival-div: 64.0ms (3.4% of total)
const: 58.0ms (3.1% of total)
ival-atan2: 53.0ms (2.8% of total)
ival-true: 12.0ms (0.6% of total)
ival-sqrt: 10.0ms (0.5% of total)
ival-assert: 6.0ms (0.3% of total)
exact: 4.0ms (0.2% of total)
ival-copysign: 1.0ms (0.1% of total)
ival-fabs: 1.0ms (0.1% of total)

analyze2.8s (0.5%)

Memory
34.0MiB live, 2 927.8MiB 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)

start44.0ms (0%)

Memory
-33.6MiB live, 5.0MiB allocated

end0.0ms (0%)

Memory
0.8MiB live, 0.7MiB allocated

Profiling

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