Herbie run

Date:Tuesday, October 22nd, 2024
Commit:5ca06d70 on bhargav-double-double
Hostname:nightly with Racket 8.10
Seed:2024296
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: 8.0min)

soundness1.6min (20%)

Memory
227.4MiB live, 29 125.2MiB allocated
Stop Event
321×iter limit
201×node limit
28×fuel
17×done
4×saturated
3×unsound
Compiler

Compiled 58 807 to 19 526 computations (66.8% saved)

sample1.5min (18.7%)

Memory
969.1MiB live, 92 229.9MiB allocated
Samples
49.7s438 941×0valid
7.2s22 130×1valid
4.0s8 651×2valid
2.5s4 429×0invalid
594.0ms7 825×0exit
401.0ms872×3valid
Precisions
Click to see histograms. Total time spent on operations: 47.2s
ival-mult: 12.0s (25.3% of total)
ival-add: 5.2s (11% of total)
ival-div: 4.5s (9.4% of total)
const: 4.4s (9.4% of total)
ival-exp: 3.1s (6.5% of total)
ival-sub: 2.8s (5.9% of total)
ival-hypot: 2.4s (5.2% of total)
ival-log: 2.2s (4.6% of total)
ival-sin: 1.4s (2.9% of total)
ival-asin: 1.3s (2.7% of total)
ival-cos: 1.2s (2.5% of total)
adjust: 1.0s (2.1% of total)
ival-atan2: 762.0ms (1.6% of total)
ival-sqrt: 744.0ms (1.6% of total)
ival-pi: 475.0ms (1% of total)
ival-asinh: 420.0ms (0.9% of total)
ival->: 379.0ms (0.8% of total)
ival-pow: 379.0ms (0.8% of total)
exact: 356.0ms (0.8% of total)
ival-sinu: 345.0ms (0.7% of total)
ival-true: 273.0ms (0.6% of total)
ival-acosh: 271.0ms (0.6% of total)
ival-neg: 245.0ms (0.5% of total)
ival-cosu: 215.0ms (0.5% of total)
ival-atanh: 200.0ms (0.4% of total)
ival-fabs: 195.0ms (0.4% of total)
ival-assert: 194.0ms (0.4% of total)
ival->=: 156.0ms (0.3% of total)
ival-<=: 141.0ms (0.3% of total)
ival-and: 79.0ms (0.2% of total)
Bogosity

simplify1.4min (17.8%)

Memory
901.0MiB live, 48 872.9MiB allocated
Algorithm
375×egg-herbie
Stop Event
494×iter limit
224×node limit
152×saturated
Counts
11 844 → 11 719

eval1.3min (15.9%)

Memory
238.1MiB live, 31 675.3MiB allocated
Compiler

Compiled 8 218 697 to 453 382 computations (94.5% saved)

rewrite35.9s (7.5%)

Memory
-357.4MiB live, 38 295.7MiB allocated
Stop Event
344×iter limit
158×node limit
4×saturated
4×unsound
Counts
2 248 → 82 217

localize24.6s (5.2%)

Memory
-175.4MiB live, 28 257.9MiB allocated
Samples
11.8s37 103×0valid
2.7s2 573×1valid
2.0s1 216×2valid
532.0ms1 103×0invalid
162.0ms116×3valid
20.0ms126×0exit
2.0ms1×5exit
1.0ms2×4valid
Compiler

Compiled 149 554 to 11 557 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.5s
ival-mult: 3.8s (30.4% of total)
ival-add: 2.1s (17% of total)
ival-div: 1.4s (11.3% of total)
const: 1.1s (9% of total)
adjust: 804.0ms (6.5% of total)
ival-pow: 554.0ms (4.4% of total)
ival-exp: 520.0ms (4.2% of total)
ival-sub: 492.0ms (4% of total)
ival-sqrt: 442.0ms (3.5% of total)
ival-log: 257.0ms (2.1% of total)
ival-hypot: 201.0ms (1.6% of total)
ival-neg: 181.0ms (1.5% of total)
ival-sin: 157.0ms (1.3% of total)
ival-cos: 138.0ms (1.1% of total)
exact: 69.0ms (0.6% of total)
ival-true: 36.0ms (0.3% of total)
ival-pow2: 35.0ms (0.3% of total)
ival-fabs: 32.0ms (0.3% of total)
ival-pi: 22.0ms (0.2% of total)
ival-assert: 19.0ms (0.2% of total)
ival-cosh: 17.0ms (0.1% of total)
ival-log1p: 15.0ms (0.1% of total)
ival-sinu: 14.0ms (0.1% of total)
ival-cosu: 11.0ms (0.1% of total)

explain20.5s (4.3%)

Memory
-277.7MiB live, 20 701.8MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue6830
/.f64#fo/o6010
-.f64#fcancellation5251
+.f64#fcancellation2260
/.f64#fo/n2110
-.f64#fnan-rescue930
/.f64#fn/o850
sqrt.f64#fuflow-rescue740
*.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*u660
/.f64#fu/u610
+.f64#fnan-rescue510
*.f64#fn*o450
/.f64#fu/n270
/.f64#fn/u130
+.f64#foflow-left30
sin.f64(sin.f64 (*.f64 (PI.f64) z))sensitivity30
*.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
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)))sensitivity10
exp.f64(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))sensitivity11
Confusion
Predicted +Predicted -
+2291139
-599031
Precision
0.9748936170212766
Recall
0.942798353909465
Confusion?
Predicted +Predicted MaybePredicted -
+22911138
-5919030
Precision?
0.9744897959183674
Recall?
0.9432098765432099
Freqs
test
numberfreq
09170
11930
2419
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+2901
-1014
Precision?
0.9666666666666667
Recall?
0.9666666666666667
Samples
2.5s21 318×0valid
618.0ms548×2valid
586.0ms1 116×1valid
24.0ms58×3valid
Compiler

Compiled 22 869 to 5 138 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-mult: 724.0ms (31.1% of total)
ival-add: 358.0ms (15.4% of total)
const: 260.0ms (11.2% of total)
ival-div: 235.0ms (10.1% of total)
ival-exp: 153.0ms (6.6% of total)
adjust: 105.0ms (4.5% of total)
ival-sub: 82.0ms (3.5% of total)
ival-log: 81.0ms (3.5% of total)
ival-hypot: 75.0ms (3.2% of total)
ival-pow: 43.0ms (1.8% of total)
ival-cos: 37.0ms (1.6% of total)
ival-sqrt: 36.0ms (1.5% of total)
ival-sin: 36.0ms (1.5% of total)
ival-true: 22.0ms (0.9% of total)
exact: 17.0ms (0.7% of total)
ival-neg: 12.0ms (0.5% of total)
ival-sinu: 12.0ms (0.5% of total)
ival-fabs: 12.0ms (0.5% of total)
ival-assert: 10.0ms (0.4% of total)
ival-pi: 8.0ms (0.3% of total)
ival-cosu: 6.0ms (0.3% of total)

regimes13.0s (2.7%)

Memory
-90.2MiB live, 13 569.0MiB allocated
Counts
7 045 → 828
Calls

110 calls:

1.0s
re
757.0ms
beta
723.0ms
im
542.0ms
x
353.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 886 to 8 399 computations (29.3% saved)

preprocess12.8s (2.7%)

Memory
371.2MiB live, 10 816.2MiB allocated
Algorithm
45×egg-herbie
Stop Event
90×iter limit
58×saturated
32×node limit
Compiler

Compiled 85 993 to 14 880 computations (82.7% saved)

series11.8s (2.5%)

Memory
-85.6MiB live, 11 807.8MiB allocated
Counts
2 248 → 11 844
Calls

1026 calls:

TimeVariablePointExpression
3.6s
x
@0
((neg (/ (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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 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) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 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) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -2) (pow (neg (/ (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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 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) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1))) 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) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 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) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 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) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -2) (pow (neg (/ (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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 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) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1))) 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) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 1) (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) 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288.0ms
x
@0
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-1453152027/1000000000)) (/ 1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1)))))))))) (exp (neg (* (fabs x) (fabs x)))))) (+ (/ 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) (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) (/ (+ (/ (+ (/ (+ (/ 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)) (* (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (* (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))))))) (exp (neg (* (fabs x) (fabs x)))))) (/ (+ (pow (* (pow (+ (* (fabs x) 3275911/10000000) 1) -2) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000)) 3) (* (pow (+ (* (fabs x) 3275911/10000000) 1) -3) 2871848519189792942908228021/1000000000000000000000000000)) (+ (pow (* (pow (+ (* (fabs x) 3275911/10000000) 1) -2) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000)) 2) (- (pow (/ 1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 2) (* (* (pow (+ (* (fabs x) 3275911/10000000) 1) -2) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000)) (/ 1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1)))))) (* (* (pow (+ (* (fabs x) 3275911/10000000) 1) -2) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000)) (/ 1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1))))

prune7.2s (1.5%)

Memory
-388.2MiB live, 10 732.9MiB allocated
Counts
106 639 → 2 253
Compiler

Compiled 233 220 to 92 049 computations (60.5% saved)

bsearch2.7s (0.6%)

Memory
-173.5MiB live, 3 298.8MiB allocated
Algorithm
246×left-value
179×binary-search
Stop Event
168×narrow-enough
11×predicate-same
Samples
1.2s11 679×0valid
45.0ms214×2valid
19.0ms146×1valid
12.0ms41×3valid
Compiler

Compiled 100 780 to 56 909 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 810.0ms
ival-mult: 382.0ms (47.2% of total)
ival-add: 120.0ms (14.8% of total)
ival-div: 70.0ms (8.6% of total)
const: 55.0ms (6.8% of total)
ival-sub: 42.0ms (5.2% of total)
ival-hypot: 37.0ms (4.6% of total)
ival-exp: 21.0ms (2.6% of total)
ival-cos: 21.0ms (2.6% of total)
ival-sqrt: 19.0ms (2.3% of total)
ival-sin: 15.0ms (1.9% of total)
ival-true: 9.0ms (1.1% of total)
adjust: 8.0ms (1% of total)
ival-assert: 5.0ms (0.6% of total)
exact: 5.0ms (0.6% of total)

analyze2.7s (0.6%)

Memory
-366.6MiB live, 3 250.3MiB 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
5.3MiB live, 5.1MiB allocated

end0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated

Profiling

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