Herbie run

Date:Wednesday, November 27th, 2024
Commit:a25f782f on bhargav-double-double
Hostname:nightly with Racket 8.10
Seed:2024332
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: 9.0min)

soundness2.0min (21.8%)

Memory
-327.6MiB live, 33 138.8MiB allocated
Stop Event
355×iter limit
221×node limit
35×fuel
18×done
3×saturated
3×unsound
Compiler

Compiled 71 196 to 24 266 computations (65.9% saved)

sample1.5min (16.5%)

Memory
467.5MiB live, 92 368.6MiB allocated
Samples
49.3s438 695×0valid
8.3s22 549×1valid
4.2s8 471×2valid
2.4s4 270×0invalid
738.0ms7 937×0exit
369.0ms877×3valid
Precisions
Click to see histograms. Total time spent on operations: 48.7s
ival-mult: 13.7s (28.1% of total)
ival-add: 5.4s (11.1% of total)
const: 4.6s (9.5% of total)
ival-div: 4.1s (8.4% of total)
ival-exp: 2.7s (5.5% of total)
ival-hypot: 2.5s (5.1% of total)
ival-sub: 2.4s (4.8% of total)
ival-log: 2.1s (4.2% of total)
adjust: 1.5s (3.1% of total)
ival-asin: 1.5s (3.1% of total)
ival-sin: 1.3s (2.7% of total)
ival-atan2: 915.0ms (1.9% of total)
ival-cos: 848.0ms (1.7% of total)
ival-sqrt: 803.0ms (1.6% of total)
ival-asinh: 403.0ms (0.8% of total)
ival-pow: 393.0ms (0.8% of total)
exact: 362.0ms (0.7% of total)
ival->: 344.0ms (0.7% of total)
ival-acosh: 334.0ms (0.7% of total)
ival-sinu: 330.0ms (0.7% of total)
ival-pi: 326.0ms (0.7% of total)
ival-atanh: 310.0ms (0.6% of total)
ival-true: 271.0ms (0.6% of total)
ival-cosu: 241.0ms (0.5% of total)
ival-<=: 241.0ms (0.5% of total)
ival-neg: 216.0ms (0.4% of total)
ival-assert: 196.0ms (0.4% of total)
ival-fabs: 195.0ms (0.4% of total)
ival->=: 115.0ms (0.2% of total)
ival-and: 79.0ms (0.2% of total)
Bogosity

rewrite1.2min (13.1%)

Memory
-772.1MiB live, 41 742.6MiB allocated
Stop Event
398×iter limit
177×node limit
6×saturated
5×unsound
Counts
2 696 → 101 563

simplify1.1min (12.7%)

Memory
822.2MiB live, 56 940.2MiB allocated
Algorithm
427×egg-herbie
Stop Event
560×iter limit
266×node limit
162×saturated
Counts
15 447 → 15 288

series46.8s (8.7%)

Memory
556.6MiB live, 22 836.5MiB allocated
Counts
2 696 → 15 447
Calls

1197 calls:

TimeVariablePointExpression
31.5s
x
@0
((/ (pow (/ (pow (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))) 2) (+ (* (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1)) 2) (* (+ (pow (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 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2.2s
x
@0
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478.0ms
x
@-inf
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274.0ms
x
@inf
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3275911/10000000) 1) 2)) 31853699/125000000)) (/ 1453152027/1000000000 (pow (+ (* (fabs x) 3275911/10000000) 1) 3))) (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1))))) (+ (* (/ (neg (pow (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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)) (- (exp (* (+ (log (+ 1 (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))))) (log (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))))) 2)) 1)) (+ (* (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1)) -1)) (pow (+ (* (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1)) 1) -1)) (/ (neg (pow (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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)) (- (exp (* (+ (log (+ 1 (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))))) (log (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))))) 2)) 1)) (+ (* (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1)) -1) (+ (* (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1)) 1) (- (/ (pow (+ (* (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1) -2) (* (+ (pow (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))) 2) 1) (pow (+ (* (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1) -1))) (/ (pow (/ (pow (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))) 2) (+ (* (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1)) 2) (* (+ (pow (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))) 2) 1) (pow (+ (* (/ (pow (exp x) (neg x)) (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)) 1) -1)))) (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (pow (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))) 2) (pow (+ (* (fabs x) 3275911/10000000) 1) 2) (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ 1421413741/1000000000 (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (* 3275911/10000000 (fabs x)) (- (- (+ (* (/ (pow (- 1 (* (fabs x) 3275911/10000000)) 2) (pow (+ (* (fabs x) 3275911/10000000) 1) 2)) 1061405429/1000000000) (+ (/ 1421413741/1000000000 (pow (+ (* (fabs x) 3275911/10000000) 1) 2)) 31853699/125000000)) (/ 1453152027/1000000000 (pow (+ (* (fabs x) 3275911/10000000) 1) 3))) (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1))) (* (fabs x) 3275911/10000000) (log (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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 (/ (+ (/ (+ (/ (+ (/ (+ 1453152027/1000000000 (/ -1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* -3275911/10000000 (fabs x)) -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))
256.0ms
x.re
@0
((* (+ (* y.im (/ (atan2 x.im x.re) y.re)) (neg (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))) y.re) (neg (* (+ (* y.im (/ (atan2 x.im x.re) y.re)) (neg (log (sqrt (+ (* x.im x.im) (* x.re 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)))) (* (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (cos (* (atan2 x.im x.re) y.re))) (+ (* (* (/ (* (pow x.im y.re) y.re) x.im) (/ (* x.re x.re) x.im)) 1/2) (pow 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) (pow (pow (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) 2) y.re) 1/2) (* (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 (pow (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) 2) y.re) 1/2) (cos (* (atan2 x.im x.re) y.re))) (pow (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) 2) y.re) (* (+ (* y.im (/ (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.re)) (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))) (- (* (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.im) (* (atan2 x.im x.re) y.re)) (/ (atan2 x.im x.re) y.re) (cos (* (atan2 x.im x.re) y.re)) (* (/ (* (pow x.im y.re) y.re) x.im) (/ (* x.re x.re) x.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))) (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.re))

localize34.2s (6.4%)

Memory
-94.6MiB live, 33 781.6MiB allocated
Samples
15.9s39 882×0valid
5.1s3 433×1valid
3.1s1 414×2valid
1.1s2 303×0invalid
729.0ms252×5exit
356.0ms263×1exit
118.0ms127×3valid
91.0ms196×0exit
6.0ms2×2exit
Compiler

Compiled 151 374 to 12 825 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0s
ival-mult: 8.2s (41% of total)
ival-add: 2.6s (12.8% of total)
ival-div: 1.5s (7.6% of total)
const: 1.4s (6.8% of total)
adjust: 1.4s (6.8% of total)
ival-pow: 772.0ms (3.9% of total)
ival-exp: 630.0ms (3.1% of total)
ival-log: 618.0ms (3.1% of total)
ival-sub: 573.0ms (2.9% of total)
ival-hypot: 505.0ms (2.5% of total)
ival-sqrt: 340.0ms (1.7% of total)
ival-asin: 301.0ms (1.5% of total)
ival-sin: 238.0ms (1.2% of total)
ival-cos: 185.0ms (0.9% of total)
ival-neg: 159.0ms (0.8% of total)
ival-acos: 142.0ms (0.7% of total)
ival-pow2: 131.0ms (0.7% of total)
exact: 84.0ms (0.4% of total)
ival-atan2: 80.0ms (0.4% of total)
ival-pi: 79.0ms (0.4% of total)
ival-true: 40.0ms (0.2% of total)
ival-cosh: 34.0ms (0.2% of total)
ival-fabs: 33.0ms (0.2% of total)
ival-assert: 21.0ms (0.1% of total)
ival-cosu: 15.0ms (0.1% of total)
ival-sinu: 15.0ms (0.1% of total)
ival-log1p: 10.0ms (0% of total)
ival-expm1: 2.0ms (0% of total)

explain34.1s (6.4%)

Memory
-258.1MiB live, 28 899.6MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue11040
-.f64#fcancellation7873
/.f64#fo/o6550
/.f64#fo/n1780
sqrt.f32(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue1330
↳(*.f32 x x)overflow133
↳(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow133
/.f64#fu/n1020
-.f64#fnan-rescue1010
sqrt.f64#fuflow-rescue1000
sin.f64#fsensitivity930
/.f64#fn/o910
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)))sensitivity900
+.f64#fcancellation781
/.f64#fu/u730
*.f64(*.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1049934947/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 106015151/2500000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 36322091/5000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 2532017/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1789971/10000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7715471019/10000000000 binary64) (*.f64 x x))) (*.f64 #s(literal 2909738639/10000000000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 694555761/10000000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 70002721/5000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 #s(literal 1665589/2000000000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))))) x)n*u580
+.f64#fnan-rescue450
*.f64#fn*o320
/.f64#fn/u110
-.f64#foflow-left80
exp.f64#fsensitivity54
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue30
↳(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow3
↳(*.f32 x x)overflow133
↳(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow133
*.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
Confusion
Predicted +Predicted -
+3091132
-20210143
Precision
0.9386577588824779
Recall
0.9590443686006825
Confusion?
Predicted +Predicted MaybePredicted -
+30913129
-202510138
Precision?
0.9372917297788549
Recall?
0.9599751784052125
Freqs
test
numberfreq
010275
12837
2456
Total Confusion?
Predicted +Predicted MaybePredicted -
+3400
-2017
Precision?
0.9444444444444444
Recall?
1.0
Samples
3.6s24 266×0valid
1.1s2 078×1valid
511.0ms718×2valid
64.0ms70×3valid
2.0ms4×5exit
Compiler

Compiled 25 032 to 5 608 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-mult: 953.0ms (27.8% of total)
ival-hypot: 358.0ms (10.5% of total)
ival-add: 322.0ms (9.4% of total)
const: 250.0ms (7.3% of total)
adjust: 224.0ms (6.5% of total)
ival-div: 192.0ms (5.6% of total)
ival-exp: 188.0ms (5.5% of total)
ival-sqrt: 171.0ms (5% of total)
ival-asin: 151.0ms (4.4% of total)
ival-log: 139.0ms (4.1% of total)
ival-sub: 115.0ms (3.4% of total)
ival-cos: 104.0ms (3% of total)
ival-sin: 80.0ms (2.3% of total)
ival-atan2: 47.0ms (1.4% of total)
ival-true: 26.0ms (0.8% of total)
ival-pow: 24.0ms (0.7% of total)
exact: 19.0ms (0.6% of total)
ival-pi: 14.0ms (0.4% of total)
ival-fabs: 13.0ms (0.4% of total)
ival-assert: 12.0ms (0.4% of total)
ival-neg: 12.0ms (0.4% of total)
ival-sinu: 8.0ms (0.2% of total)
ival-cosu: 6.0ms (0.2% of total)

eval31.1s (5.8%)

Memory
116.7MiB live, 38 386.6MiB allocated
Compiler

Compiled 8 952 805 to 539 410 computations (94% saved)

preprocess14.4s (2.7%)

Memory
624.0MiB live, 12 150.5MiB allocated
Algorithm
53×egg-herbie
Stop Event
106×iter limit
68×saturated
38×node limit
Compiler

Compiled 108 422 to 17 985 computations (83.4% saved)

regimes14.1s (2.6%)

Memory
122.3MiB live, 18 546.2MiB allocated
Counts
8 979 → 925
Calls

124 calls:

1.1s
re
887.0ms
y.re
854.0ms
im
523.0ms
y.im
509.0ms
x.im
Compiler

Compiled 14 289 to 10 045 computations (29.7% saved)

prune9.8s (1.8%)

Memory
-336.2MiB live, 13 528.1MiB allocated
Counts
130 927 → 2 946
Compiler

Compiled 307 642 to 121 952 computations (60.4% saved)

bsearch5.6s (1%)

Memory
23.7MiB live, 5 906.0MiB allocated
Algorithm
250×binary-search
222×left-value
Stop Event
241×narrow-enough
9×predicate-same
Samples
2.3s16 513×0valid
1.0s2 316×1valid
42.0ms133×2valid
16.0ms62×3valid
Compiler

Compiled 161 091 to 89 324 computations (44.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-mult: 1.1s (42.7% of total)
ival-hypot: 306.0ms (11.8% of total)
ival-log: 179.0ms (6.9% of total)
ival-exp: 178.0ms (6.9% of total)
ival-add: 164.0ms (6.3% of total)
ival-atan2: 141.0ms (5.4% of total)
ival-cos: 110.0ms (4.2% of total)
adjust: 82.0ms (3.2% of total)
ival-sub: 81.0ms (3.1% of total)
ival-sin: 78.0ms (3% of total)
const: 63.0ms (2.4% of total)
ival-div: 62.0ms (2.4% of total)
ival-true: 14.0ms (0.5% of total)
ival-sqrt: 10.0ms (0.4% of total)
ival-assert: 8.0ms (0.3% of total)
exact: 4.0ms (0.2% of total)

analyze2.7s (0.5%)

Memory
69.3MiB live, 2 614.5MiB 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
4.8MiB live, 4.7MiB allocated

end0.0ms (0%)

Memory
1.1MiB live, 1.0MiB allocated

Profiling

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