Herbie run

Date:Wednesday, April 16th, 2025
Commit:5565a39e on main
Seed:2025106
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs
default
Memory:253 433.3 MB

Time bar (total: 3.2min)

sample1.1min (34%)

Memory
1 037.0MiB live, 84 626.2MiB allocated; 25.5s collecting garbage
Samples
34.7s433 640×0valid
6.6s26 528×1valid
3.9s9 492×2valid
995.0ms4 447×0invalid
543.0ms8 158×0exit
342.0ms942×3valid
Precisions
Click to see histograms. Total time spent on operations: 30.7s
ival-mult!: 9.3s (30.3% of total)
ival-add!: 3.1s (10.2% of total)
ival-exp: 2.9s (9.3% of total)
ival-log: 2.2s (7% of total)
ival-hypot: 2.2s (7% of total)
ival-div!: 1.9s (6.1% of total)
adjust: 1.8s (5.8% of total)
ival-asin: 1.3s (4.1% of total)
ival-sin: 1.0s (3.3% of total)
ival-cos: 989.0ms (3.2% of total)
ival-sub!: 890.0ms (2.9% of total)
ival-atan2: 816.0ms (2.7% of total)
ival-sqrt: 672.0ms (2.2% of total)
ival-pow: 332.0ms (1.1% of total)
ival-sinu: 288.0ms (0.9% of total)
ival-asinh: 281.0ms (0.9% of total)
ival-acosh: 256.0ms (0.8% of total)
ival-fabs: 196.0ms (0.6% of total)
ival-neg: 190.0ms (0.6% of total)
ival-atanh: 145.0ms (0.5% of total)
ival-cosu: 115.0ms (0.4% of total)
ival-pi: 1.0ms (0% of total)
const: 0.0ms (0% of total)
Bogosity

rewrite42.9s (22.2%)

Memory
979.7MiB live, 49 257.1MiB allocated; 13.5s collecting garbage
Stop Event
465×iter-limit
179×node-limit
16×unsound
4×saturated
Counts
32 278 → 69 085

eval15.1s (7.8%)

Memory
-382.4MiB live, 23 786.7MiB allocated; 6.2s collecting garbage
Compiler

Compiled 6 136 726 to 405 837 computations (93.4% saved)

derivations14.4s (7.5%)

Memory
-403.3MiB live, 14 226.1MiB allocated; 3.7s collecting garbage
Stop Event
37×fuel
20×done
Compiler

Compiled 36 166 to 4 503 computations (87.5% saved)

series13.9s (7.2%)

Memory
568.2MiB live, 19 236.4MiB allocated; 4.8s collecting garbage
Counts
5 700 → 26 578
Calls

1212 calls:

TimeVariablePointExpression
1.1s
y.re
@inf
((* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (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)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) (sqrt (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.re) (* x.im x.im)) (* x.re x.re) x.re (* x.im x.im) x.im y.re (* (atan2 x.im x.re) y.im) (atan2 x.im x.re) y.im (sin (+ (* (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)) (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))
144.0ms
im
@0
((* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (+ (sqrt (+ (* re re) (* im im))) re) im 2 1/2 (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (neg im) re (* (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* im im) (* 1/2 (exp (* (log (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2))) (exp (* (log (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2)) (* (log (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) 1/2) (log (* (+ (sqrt (+ (* re re) (* im im))) re) 2)) (* (+ (sqrt (+ (* re re) (* im im))) re) 2) (+ (sqrt (+ (* re re) (* im im))) re) (* 1/2 (exp (* (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2)) 1/2))) (exp (* (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2)) 1/2)) (* (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2)) 1/2) (log (* (+ (sqrt (+ (* im im) (* re re))) re) 2)) (+ (* (log (/ -1 im)) -1) (log 2)) (log (/ -1 im)) (/ -1 im) -1 (log 2))
134.0ms
im
@-inf
((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) im re (* (log 10) (log 1/10)) (log 10) 10 (log 1/10) 1/10 (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)))
125.0ms
base
@-inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) im re (log base) base (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (/ (* re re) (* (* im im) (log base))) 1/2) (/ (log im) (log base))) (/ (* re re) (* (* im im) (log base))) (* re re) (* (* im im) (log base)) (* im im) 1/2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (neg (log base)) (log (/ -1 re))) (neg (log base)) (log (/ -1 re)) (/ -1 re) -1 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (* (atan2 im re) 0)) (* (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (* (atan2 im re) 0) (atan2 im re))
116.0ms
x
@0
((/ (/ (/ (- 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))) 6) (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))) 6))) (+ 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))) 6))) (+ 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))) 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))) 2)) (* 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))) 2))))) (+ (* (/ (+ (/ (+ (/ (- (/ (- (/ 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 (* (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))) 6) (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))) 6))) (+ 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))) 6))) (+ 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))) 2) (pow (/ (+ (/ (+ (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 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1))) 6) (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))) 6))) (+ 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))) 6))) (- 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))) 6) (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))) 6))) 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))) 6) (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))) 6)) (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))) 6) (/ (+ (/ (+ (/ (- (/ (- (/ 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))) (+ (/ (+ (/ (- (/ (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -1421413741/1000000000) (+ (* 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1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1) (fabs x) x 3275911/10000000 1453152027/1000000000 -1421413741/1000000000 -8890523/31250000 31853699/125000000 (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) x) (exp x) 6 (+ 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))) 6)) (+ 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))) 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))) 2)) (* 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))) 2)))) (+ (* (pow (/ (+ (/ (+ (/ (- (/ (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (+ 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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))))) (/ (* (- 31853699/125000000 (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1))) (exp (* (neg x) x))) (+ (* (fabs x) 3275911/10000000) 1)) (* (- 31853699/125000000 (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1))) (exp (* (neg x) x))) (- 31853699/125000000 (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1))) (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1)) 8890523/31250000 (+ (* (/ (+ (/ (+ (- (/ (/ (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (fabs x) 3275911/10000000) 1)) (/ -1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (+ (* -3275911/10000000 (fabs x)) -1)) (exp (* (neg x) x))) 1) (/ (+ (/ (+ (- (/ (/ (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (fabs x) 3275911/10000000) 1)) (/ -1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (+ (* -3275911/10000000 (fabs x)) -1)) (+ (/ (+ (- (/ (/ (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (fabs x) 3275911/10000000) 1)) (/ -1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (/ (+ (- (/ (/ (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (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)) (+ (* (fabs x) 3275911/10000000) 1)) (/ -1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) -8890523/31250000) (- (/ (/ (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (fabs x) 3275911/10000000) 1)) (/ -1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1))) (/ (/ (- (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (fabs x) 3275911/10000000) 1)) (/ -1421413741/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) (+ (* -3275911/10000000 (fabs x)) -1) -3275911/10000000 -1 (exp (* (neg x) x)) (+ (* (neg x) x) 1) (/ (- (* (* (exp (* (neg 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)) (/ (+ (/ (+ (/ (- (/ (- (/ 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) (- (* (exp (* (neg 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))) 1)) (- (* (* (exp (* (neg 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)) (/ (+ (/ (+ (/ (- (/ (- (/ 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) (* (* (exp (* (neg 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)) (/ (+ (/ (+ (/ (- (/ (- (/ 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)) (/ (+ (/ (+ (/ (- (/ (- (/ 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)) (/ (+ (/ (+ (/ (- (/ (- (/ 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)) (+ (* (fabs x) -3275911/10000000) -1) (- (* (exp (* (neg 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))) 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))) 6)) (* (+ (+ (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))) 4) (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))) 2)) 1) (+ (* (exp (* (neg 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))) 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))) 6)) (* (+ (+ (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))) 4) (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))) 2)) 1) (+ (* (exp (* (neg 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))) 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))) 4) (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))) 2)) 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))) 4) (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))) 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))) 4) 4 (+ (* (exp (* (neg 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))) 1))

explain11.7s (6.1%)

Memory
154.9MiB live, 18 157.5MiB allocated; 2.6s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue11760
-.f64#fcancellation7542
/.f64#fo/o6410
sqrt.f32#foflow-rescue2000
/.f64#fo/n1930
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)))sensitivity1810
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)))sensitivity1810
+.f64#fcancellation1673
sqrt.f64#fuflow-rescue1290
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1250
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1231
-.f64#fnan-rescue1090
/.f64#fn/o770
+.f64#fnan-rescue680
*.f64#fn*u650
/.f64#fu/u560
/.f64#fu/n300
*.f64#fn*o270
/.f64#fn/u100
log.f32#foflow-rescue50
exp.f64#fsensitivity30
Confusion
Predicted +Predicted -
+355035
-20310804
Precision
0.9459099387156941
Recall
0.9902370990237099
Confusion?
Predicted +Predicted MaybePredicted -
+3550233
-203410800
Precision?
0.9449321628092577
Recall?
0.9907949790794979
Freqs
test
numberfreq
010839
13190
2559
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+3500
-3019
Precision?
0.9210526315789473
Recall?
1.0
Samples
2.0s25 472×0valid
829.0ms2 684×1valid
624.0ms970×2valid
30.0ms52×3valid
2.0ms6×5exit
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult!: 597.0ms (27% of total)
adjust: 253.0ms (11.5% of total)
ival-asin: 166.0ms (7.5% of total)
ival-hypot: 159.0ms (7.2% of total)
ival-exp: 158.0ms (7.2% of total)
ival-add!: 156.0ms (7.1% of total)
ival-div!: 155.0ms (7% of total)
ival-log: 150.0ms (6.8% of total)
ival-sub!: 77.0ms (3.5% of total)
ival-sin: 58.0ms (2.6% of total)
ival-cos: 56.0ms (2.5% of total)
ival-neg: 55.0ms (2.5% of total)
ival-atan2: 44.0ms (2% of total)
ival-sqrt: 43.0ms (1.9% of total)
ival-fabs: 22.0ms (1% of total)
ival-pow: 21.0ms (1% of total)
ival-copysign: 18.0ms (0.8% of total)
ival-log1p: 8.0ms (0.4% of total)
ival-sinu: 8.0ms (0.4% of total)
ival-cosu: 6.0ms (0.3% of total)
const: 0.0ms (0% of total)
ival-pi: 0.0ms (0% of total)

regimes11.6s (6%)

Memory
-171.8MiB live, 18 523.3MiB allocated; 3.7s collecting garbage
Counts
8 580 → 861
Calls

132 calls:

868.0ms
im
790.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
761.0ms
re
526.0ms
x
425.0ms
y.re
Compiler

Compiled 15 273 to 10 417 computations (31.8% saved)

preprocess6.8s (3.5%)

Memory
-145.2MiB live, 8 915.2MiB allocated; 1.6s collecting garbage
Stop Event
33×node-limit
24×saturated
Compiler

Compiled 147 162 to 44 058 computations (70.1% saved)

prune5.2s (2.7%)

Memory
110.2MiB live, 9 015.2MiB allocated; 1.4s collecting garbage
Counts
81 539 → 2 845
Compiler

Compiled 292 536 to 121 334 computations (58.5% saved)

bsearch3.6s (1.9%)

Memory
168.4MiB live, 4 795.2MiB allocated; 1.3s collecting garbage
Algorithm
219×binary-search
206×left-value
Stop Event
207×narrow-enough
12×predicate-same
Samples
1.1s13 426×0valid
1.1s1 994×1valid
55.0ms160×2valid
10.0ms36×3valid
Compiler

Compiled 129 071 to 76 687 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-cos: 429.0ms (25.5% of total)
ival-mult!: 375.0ms (22.3% of total)
ival-sin: 165.0ms (9.8% of total)
ival-hypot: 156.0ms (9.3% of total)
ival-log: 138.0ms (8.2% of total)
ival-exp: 111.0ms (6.6% of total)
adjust: 99.0ms (5.9% of total)
ival-atan2: 63.0ms (3.7% of total)
ival-add!: 49.0ms (2.9% of total)
ival-sub!: 49.0ms (2.9% of total)
ival-div!: 28.0ms (1.7% of total)
ival-sqrt: 9.0ms (0.5% of total)
ival-neg: 8.0ms (0.5% of total)
ival-fabs: 1.0ms (0.1% of total)

analyze2.3s (1.2%)

Memory
48.5MiB live, 2 887.0MiB allocated; 660ms 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)

start3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Profiling

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