Herbie run

Date:Wednesday, March 5th, 2025
Commit:141e80a8 on main
Seed:2025064
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default
Memory:282 531.8 MB

Time bar (total: 4.1min)

sample1.6min (38.5%)

Memory
1 177.4MiB live, 105 907.4MiB allocated; 36.9s collecting garbage
Samples
51.0s433 878×0valid
9.9s26 649×1valid
4.4s9 156×2valid
3.2s4 318×0invalid
1.2s8 135×0exit
367.0ms916×3valid
Precisions
Click to see histograms. Total time spent on operations: 51.4s
ival-mult: 14.6s (28.4% of total)
ival-add: 7.0s (13.6% of total)
const: 4.5s (8.7% of total)
ival-div: 4.1s (8% of total)
ival-exp: 3.1s (6% of total)
ival-log: 2.5s (4.8% of total)
ival-hypot: 2.5s (4.8% of total)
ival-sub: 2.4s (4.7% of total)
adjust: 2.3s (4.6% of total)
ival-sin: 2.1s (4% of total)
ival-asin: 1.1s (2.1% of total)
ival-cos: 1.0s (2% of total)
ival-sqrt: 865.0ms (1.7% of total)
ival-atan2: 700.0ms (1.4% of total)
exact: 361.0ms (0.7% of total)
ival-neg: 323.0ms (0.6% of total)
ival-pow: 309.0ms (0.6% of total)
ival-pi: 292.0ms (0.6% of total)
ival-sinu: 284.0ms (0.6% of total)
ival-acosh: 283.0ms (0.6% of total)
ival-fabs: 244.0ms (0.5% of total)
ival-asinh: 226.0ms (0.4% of total)
ival-atanh: 166.0ms (0.3% of total)
ival-assert: 163.0ms (0.3% of total)
ival-cosu: 99.0ms (0.2% of total)
Bogosity

rewrite43.1s (17.7%)

Memory
1 172.3MiB live, 46 701.4MiB allocated; 12.7s collecting garbage
Stop Event
454×iter limit
177×node limit
14×unsound
4×saturated
Counts
31 925 → 67 262

eval19.2s (7.9%)

Memory
-16.9MiB live, 26 942.5MiB allocated; 8.0s collecting garbage
Compiler

Compiled 7 196 272 to 393 516 computations (94.5% saved)

derivations15.7s (6.4%)

Memory
-247.2MiB live, 12 737.1MiB allocated; 4.8s collecting garbage
Stop Event
35×fuel
22×done
Compiler

Compiled 34 756 to 4 298 computations (87.6% saved)

explain15.0s (6.2%)

Memory
-6.8MiB live, 18 789.8MiB allocated; 4.9s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue12700
-.f64#fcancellation7171
/.f64#fo/o6440
/.f64#fo/n2060
sin.f64#fsensitivity1810
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)))sensitivity1790
sqrt.f32#foflow-rescue1660
+.f64#fcancellation1311
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1280
sqrt.f64#fuflow-rescue1270
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1200
/.f64#fn/o1120
-.f64#fnan-rescue900
*.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/u600
+.f64#fnan-rescue490
*.f64#fn*o380
/.f64#fu/n370
/.f64#fn/u130
*.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
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 x.re x.re)overflow62
↳(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow117
↳(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)overflow2
↳(*.f64 x.im x.im)overflow73
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 x.re x.re)overflow62
↳(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow117
↳(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)overflow2
↳(*.f64 x.im x.im)overflow73
Confusion
Predicted +Predicted -
+358842
-18910773
Precision
0.9499602859412232
Recall
0.9884297520661157
Confusion?
Predicted +Predicted MaybePredicted -
+3588240
-189010773
Precision?
0.9499867689865044
Recall?
0.9889807162534435
Freqs
test
numberfreq
010815
13216
2558
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+3611
-0019
Precision?
1.0
Recall?
0.9736842105263158
Samples
2.9s25 656×0valid
1.4s2 608×1valid
679.0ms864×2valid
26.0ms54×3valid
1.0ms2×5exit
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-mult: 984.0ms (28.1% of total)
ival-add: 409.0ms (11.7% of total)
adjust: 339.0ms (9.7% of total)
const: 319.0ms (9.1% of total)
ival-div: 253.0ms (7.2% of total)
ival-log: 206.0ms (5.9% of total)
ival-exp: 191.0ms (5.5% of total)
ival-hypot: 170.0ms (4.9% of total)
ival-sub: 123.0ms (3.5% of total)
ival-asin: 90.0ms (2.6% of total)
ival-atan2: 63.0ms (1.8% of total)
ival-sin: 61.0ms (1.7% of total)
ival-cos: 53.0ms (1.5% of total)
ival-sqrt: 47.0ms (1.3% of total)
ival-fabs: 28.0ms (0.8% of total)
ival-true: 27.0ms (0.8% of total)
ival-pow: 24.0ms (0.7% of total)
exact: 23.0ms (0.7% of total)
ival-cosu: 19.0ms (0.5% of total)
ival-copysign: 17.0ms (0.5% of total)
ival-pi: 16.0ms (0.5% of total)
ival-assert: 14.0ms (0.4% of total)
ival-neg: 13.0ms (0.4% of total)
ival-log1p: 7.0ms (0.2% of total)
ival-sinu: 7.0ms (0.2% of total)

series13.8s (5.6%)

Memory
456.9MiB live, 18 106.1MiB allocated; 3.6s collecting garbage
Counts
5 528 → 26 397
Calls

1185 calls:

TimeVariablePointExpression
318.0ms
x
@0
((/ (- (/ 1 (+ (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 6)) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 3))) (/ (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 9) (+ (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 6)) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 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) 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)) (exp (* (neg x) x))) 1)) 1)) (- (/ 1 (+ (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 6)) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 3))) (/ (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 9) (+ (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 6)) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 3)))) (/ 1 (+ (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 6)) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 3))) 1 (+ (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 6)) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 3)) (+ 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 6)) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 6) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1) 3275911/10000000 (fabs x) x 1453152027/1000000000 -1421413741/1000000000 (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x)) (pow (exp x) x) (exp x) 6 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (+ (* 3275911/10000000 (fabs x)) 1) (pow (exp x) x))) 3) 3 (/ (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ 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148.0ms
base
@0
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131.0ms
base
@0
((/ (+ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (atan2 im re) 0)) (pow (log base) 2)) (+ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (atan2 im re) 0)) (log base) base (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (* (atan2 im re) 0) 0 (pow (log base) 2) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* 1/2 (log (+ (* im im) (* re re)))) (log base)) (* 1/2 (log (+ (* im im) (* re re)))) 1/2 (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (* re re) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) 4) (pow (log base) 2))) (/ (pow (log base) 4) (pow (log base) 2)) (pow (log base) 4) 4 (/ (* (+ (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (neg (pow (log base) 4))) (* (pow (log base) 4) (neg (pow (log base) 2)))) (* (+ (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (neg (pow (log base) 4))) (+ (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (neg (pow (log base) 4)) (* (pow (log base) 4) (neg (pow (log base) 2))) (neg (pow (log base) 2)))
112.0ms
x
@-inf
((neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x) (log x) x)
106.0ms
x
@inf
((neg (log (/ (log x) x))) (log (/ (log x) x)) (/ (log x) x) (log x) x)

preprocess13.0s (5.3%)

Memory
262.5MiB live, 13 573.7MiB allocated; 3.0s collecting garbage
Stop Event
114×iter limit
72×node limit
42×saturated
Compiler

Compiled 82 180 to 15 033 computations (81.7% saved)

regimes10.8s (4.4%)

Memory
140.6MiB live, 15 197.6MiB allocated; 2.6s collecting garbage
Counts
7 652 → 862
Calls

132 calls:

704.0ms
im
600.0ms
y.re
555.0ms
re
495.0ms
y.im
387.0ms
x
Compiler

Compiled 13 384 to 9 612 computations (28.2% saved)

prune8.2s (3.4%)

Memory
-761.5MiB live, 13 050.9MiB allocated; 3.3s collecting garbage
Counts
92 866 → 2 711
Compiler

Compiled 298 658 to 119 205 computations (60.1% saved)

bsearch4.4s (1.8%)

Memory
253.9MiB live, 4 853.6MiB allocated; 968ms collecting garbage
Algorithm
219×left-value
218×binary-search
Stop Event
198×narrow-enough
20×predicate-same
Samples
1.9s14 567×0valid
947.0ms1 799×1valid
39.0ms168×2valid
18.0ms58×3valid
Compiler

Compiled 141 178 to 78 134 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult: 737.0ms (33.4% of total)
ival-hypot: 273.0ms (12.4% of total)
adjust: 210.0ms (9.5% of total)
ival-add: 202.0ms (9.1% of total)
ival-exp: 150.0ms (6.8% of total)
ival-div: 128.0ms (5.8% of total)
ival-log: 118.0ms (5.3% of total)
ival-sin: 97.0ms (4.4% of total)
ival-sub: 74.0ms (3.4% of total)
const: 74.0ms (3.4% of total)
ival-atan2: 52.0ms (2.4% of total)
ival-cos: 43.0ms (1.9% of total)
ival-sqrt: 18.0ms (0.8% of total)
ival-true: 13.0ms (0.6% of total)
ival-assert: 7.0ms (0.3% of total)
exact: 7.0ms (0.3% of total)
ival-neg: 5.0ms (0.2% of total)

analyze3.5s (1.5%)

Memory
32.0MiB live, 3 629.1MiB allocated; 1.7s collecting garbage
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)

simplify3.2s (1.3%)

Memory
-221.6MiB live, 3 035.1MiB allocated; 639ms collecting garbage
Stop Event
40×node limit
17×saturated

start3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
1.2MiB live, 1.1MiB allocated; 0ms collecting garbage

Profiling

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