Herbie run

Date:Thursday, September 26th, 2024
Commit:029b8eff on dump-egraph
Hostname:nightly with Racket 8.10
Seed:2024270
Parameters:256 points for 4 iterations
Flags:
localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 16.0min)

soundness3.1min (19.6%)

Memory
104.7MiB live, 36 586.3MiB allocated
Stop Event
339×iter limit
216×node limit
37×fuel
19×done
3×saturated
3×unsound
Compiler

Compiled 37 064 to 16 968 computations (54.2% saved)

prune2.9min (18%)

Memory
-1 135.7MiB live, 26 780.9MiB allocated
Counts
209 316 → 3 123
Compiler

Compiled 189 794 to 80 963 computations (57.3% saved)

simplify2.5min (15.5%)

Memory
794.3MiB live, 68 676.3MiB allocated
Algorithm
456×egg-herbie
Stop Event
600×iter limit
273×node limit
183×saturated
Counts
58 500 → 57 698

rewrite1.8min (11.5%)

Memory
-16.0MiB live, 46 495.0MiB allocated
Stop Event
423×iter limit
191×node limit
5×saturated
4×unsound
Counts
2 895 → 101 033

sample1.6min (10.1%)

Memory
746.6MiB live, 110 890.1MiB allocated
Samples
55.8s438 831×0valid
6.9s22 137×1valid
4.1s8 742×2valid
2.8s4 342×0invalid
852.0ms8 322×0exit
294.0ms895×3valid
Precisions
Click to see histograms. Total time spent on operations: 50.3s
ival-mult: 13.5s (26.8% of total)
ival-add: 5.7s (11.4% of total)
ival-div: 4.4s (8.7% of total)
const: 4.3s (8.5% of total)
ival-exp: 3.1s (6.2% of total)
ival-hypot: 3.0s (6% of total)
ival-sub: 2.5s (4.9% of total)
ival-log: 2.2s (4.4% of total)
ival-sin: 1.4s (2.8% of total)
ival-cos: 1.3s (2.6% of total)
ival-asin: 1.3s (2.5% of total)
adjust: 1.2s (2.3% of total)
ival-atan2: 1.2s (2.3% of total)
ival-sqrt: 936.0ms (1.9% of total)
ival-sinu: 665.0ms (1.3% of total)
ival->: 445.0ms (0.9% of total)
exact: 387.0ms (0.8% of total)
ival-pow: 333.0ms (0.7% of total)
ival-asinh: 314.0ms (0.6% of total)
ival-true: 294.0ms (0.6% of total)
ival-neg: 255.0ms (0.5% of total)
ival-pi: 252.0ms (0.5% of total)
ival-acosh: 235.0ms (0.5% of total)
ival-cosu: 232.0ms (0.5% of total)
ival-assert: 197.0ms (0.4% of total)
ival-<=: 196.0ms (0.4% of total)
ival-fabs: 178.0ms (0.4% of total)
ival-atanh: 147.0ms (0.3% of total)
ival->=: 86.0ms (0.2% of total)
ival-and: 80.0ms (0.2% of total)
Bogosity

localize1.3min (8.3%)

Memory
358.8MiB live, 39 844.8MiB allocated
Samples
1.0min41 101×0valid
5.4s4 105×1valid
3.2s1 687×2valid
1.1s3 564×0invalid
345.0ms451×1exit
184.0ms133×3valid
162.0ms125×5exit
13.0ms32×0exit
1.0ms2×4valid
Compiler

Compiled 77 730 to 6 337 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.9s
ival-mult: 20.8s (41.7% of total)
ival-add: 19.0s (38.1% of total)
ival-div: 2.3s (4.7% of total)
const: 1.2s (2.4% of total)
adjust: 902.0ms (1.8% of total)
ival-log: 782.0ms (1.6% of total)
ival-pow: 775.0ms (1.6% of total)
ival-exp: 707.0ms (1.4% of total)
ival-sub: 655.0ms (1.3% of total)
ival-hypot: 392.0ms (0.8% of total)
ival-sqrt: 377.0ms (0.8% of total)
ival-neg: 260.0ms (0.5% of total)
ival-cos: 212.0ms (0.4% of total)
ival-asin: 199.0ms (0.4% of total)
ival-sin: 184.0ms (0.4% of total)
ival-pow2: 166.0ms (0.3% of total)
ival-acos: 142.0ms (0.3% of total)
ival-atan2: 139.0ms (0.3% of total)
ival-cosh: 136.0ms (0.3% of total)
exact: 124.0ms (0.2% of total)
ival-log1p: 105.0ms (0.2% of total)
ival-fabs: 62.0ms (0.1% of total)
ival-pi: 46.0ms (0.1% of total)
ival-true: 46.0ms (0.1% of total)
ival-copysign: 37.0ms (0.1% of total)
ival-assert: 22.0ms (0% of total)
ival-cosu: 14.0ms (0% of total)
ival-sinu: 14.0ms (0% of total)
ival-cbrt: 10.0ms (0% of total)
ival-e: 4.0ms (0% of total)
ival-sinh: 2.0ms (0% of total)

eval1.1min (7.2%)

Memory
1 020.9MiB live, 75 764.8MiB allocated
Compiler

Compiled 13 011 711 to 574 706 computations (95.6% saved)

series33.2s (3.5%)

Memory
-431.4MiB live, 20 682.2MiB allocated
Counts
2 895 → 58 500
Calls

1209 calls:

TimeVariablePointExpression
549.0ms
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))) (* (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) 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1061405429/1000000000) 1421413741/1000000000))))))) (exp (neg (* x x))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (* 1453152027/1000000000 (/ -1 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (pow (+ (* (fabs x) 3275911/10000000) 1) -2) 1061405429/1000000000) 1421413741/1000000000))))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (* 1453152027/1000000000 (/ -1 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (pow (+ (* (fabs x) 3275911/10000000) 1) -2) 1061405429/1000000000) 1421413741/1000000000))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ (* 1453152027/1000000000 (/ -1 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (pow (+ (* (fabs x) 3275911/10000000) 1) -2) 1061405429/1000000000) 1421413741/1000000000))) (/ (- 1 (pow (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs 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1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000)) 1) (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs 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) (neg x))) 1) (/ (/ (+ 31853699/125000000 (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 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(+ (* (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) (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (pow (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000)) 1) (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) -2) (pow (/ (+ (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1))) 3) (+ (/ 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) (/ (+ (/ (+ (/ (+ (/ 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 (+ (* 3275911/10000000 (fabs x)) 1) -2) 1061405429/1000000000) (/ -1453152027/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (+ (* (pow (+ (* 3275911/10000000 (fabs x)) 1) -2) 1061405429/1000000000) (/ -1453152027/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) 1421413741/1000000000) (* 3275911/10000000 (fabs x)) (- (/ -1453152027/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) (+ (* (pow (+ (* 3275911/10000000 (fabs x)) 1) -2) 1061405429/1000000000) 1421413741/1000000000)) (- (* 2111650813574208729/1000000000000000000 (pow (+ (* 3275911/10000000 (fabs x)) 1) -2)) (pow (+ (* (pow (+ (* 3275911/10000000 (fabs x)) 1) -2) 1061405429/1000000000) 1421413741/1000000000) 2)) (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))
140.0ms
re
@0
((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (log 10) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (* re re))
129.0ms
x
@-inf
((/ 1 (/ -1 x)) (fabs (/ 1 (/ -1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (/ (fabs x) x) (log x)) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (log (+ 1 (fabs (/ 1 (/ -1 x))))) (sqrt (+ (* x x) 1)) (- (/ -1/2 x) x))
128.0ms
im
@inf
((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (atan2 im re)) (pow (log base) -2) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (* (pow (log base) 2) (/ (* (atan2 im re) 1) (pow (log base) 3))) (/ (* (atan2 im re) 1) (pow (log base) 3)) (* (atan2 im re) 1) (pow (log base) 2) (/ 1 (atan2 im re)) (pow (log base) 3))

explain20.3s (2.1%)

Memory
-181.6MiB live, 19 218.7MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue11540
-.f64#fcancellation7390
/.f64#fo/o6200
/.f64#fo/n2080
sin.f64#fsensitivity1860
sqrt.f32#foflow-rescue1840
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)))sensitivity1830
+.f64#fcancellation1630
sqrt.f64#fuflow-rescue1600
-.f64#fnan-rescue1400
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1262
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1180
/.f64#fn/o890
*.f64#fn*u770
+.f64#fnan-rescue720
/.f64#fu/u640
/.f64#fu/n340
*.f64#fn*o240
/.f64#fn/u100
log.f32#foflow-rescue30
*.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))))overflow3
↳(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)))overflow3
↳(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.f64(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))oflow-rescue10
↳(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))overflow1
↳(-.f64 (*.f64 x x) #s(literal 1 binary64))overflow111
↳(*.f64 x x)overflow111
Confusion
Predicted +Predicted -
+359964
-19510734
Precision
0.948603057459146
Recall
0.9825279825279826
Confusion?
Predicted +Predicted MaybePredicted -
+3599163
-195210732
Precision?
0.948116934421912
Recall?
0.9828009828009828
Freqs
test
numberfreq
010798
13230
2564
Total Confusion?
Predicted +Predicted MaybePredicted -
+3701
-0019
Precision?
1.0
Recall?
0.9736842105263158
Samples
7.4s25 868×0valid
1.6s2 388×1valid
626.0ms862×2valid
25.0ms64×3valid
1.0ms2×5exit
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 7.7s
ival-sin: 4.0s (51.9% of total)
ival-mult: 961.0ms (12.5% of total)
ival-add: 358.0ms (4.7% of total)
ival-exp: 353.0ms (4.6% of total)
ival-div: 321.0ms (4.2% of total)
ival-sub: 272.0ms (3.5% of total)
const: 247.0ms (3.2% of total)
adjust: 227.0ms (3% of total)
ival-log: 215.0ms (2.8% of total)
ival-hypot: 204.0ms (2.7% of total)
ival-asin: 106.0ms (1.4% of total)
ival-sqrt: 84.0ms (1.1% of total)
ival-cos: 60.0ms (0.8% of total)
ival-sinu: 60.0ms (0.8% of total)
ival-atan2: 51.0ms (0.7% of total)
ival-true: 28.0ms (0.4% of total)
ival-neg: 23.0ms (0.3% of total)
ival-pow: 22.0ms (0.3% of total)
exact: 22.0ms (0.3% of total)
ival-fabs: 17.0ms (0.2% of total)
ival-pi: 14.0ms (0.2% of total)
ival-assert: 13.0ms (0.2% of total)
ival-copysign: 12.0ms (0.2% of total)
ival-log1p: 8.0ms (0.1% of total)
ival-cosu: 6.0ms (0.1% of total)

preprocess19.5s (2%)

Memory
232.1MiB live, 16 137.7MiB allocated
Algorithm
57×egg-herbie
Stop Event
114×iter limit
76×saturated
38×node limit
Compiler

Compiled 41 314 to 12 479 computations (69.8% saved)

regimes13.9s (1.5%)

Memory
-144.0MiB live, 20 480.8MiB allocated
Counts
8 340 → 894
Calls

130 calls:

1.1s
re
861.0ms
im
706.0ms
x
498.0ms
y.re
456.0ms
(*.f64 #s(literal 2 binary64) (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
Compiler

Compiled 12 801 to 9 505 computations (25.7% saved)

bsearch3.6s (0.4%)

Memory
-149.0MiB live, 4 295.3MiB allocated
Algorithm
271×left-value
175×binary-search
Stop Event
170×narrow-enough
5×predicate-same
Samples
1.8s10 480×0valid
640.0ms1 613×1valid
68.0ms144×2valid
15.0ms51×3valid
Compiler

Compiled 38 096 to 34 066 computations (10.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-hypot: 532.0ms (28.3% of total)
ival-mult: 420.0ms (22.4% of total)
ival-sin: 215.0ms (11.4% of total)
ival-log: 141.0ms (7.5% of total)
ival-add: 123.0ms (6.5% of total)
ival-exp: 95.0ms (5.1% of total)
ival-atan2: 71.0ms (3.8% of total)
adjust: 57.0ms (3% of total)
ival-sub: 56.0ms (3% of total)
ival-div: 54.0ms (2.9% of total)
ival-cos: 42.0ms (2.2% of total)
const: 40.0ms (2.1% of total)
ival-sqrt: 11.0ms (0.6% of total)
ival-true: 10.0ms (0.5% of total)
ival-assert: 5.0ms (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 (0.3%)

Memory
-76.3MiB live, 3 509.4MiB 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)

start3.0ms (0%)

Memory
-32.9MiB live, 6.4MiB allocated

end0.0ms (0%)

Memory
1.2MiB live, 1.1MiB allocated

Profiling

Loading profile data...