Herbie run

Date:Thursday, February 13th, 2025
Commit:0e88e39c on custom-lifting-lowering
Seed:2025044
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:334 747.3 MB

Time bar (total: 4.1min)

sample1.6min (39%)

Memory
1 794.6MiB live, 131 030.7MiB allocated; 38.8s collecting garbage
Samples
51.6s433 899×0valid
9.7s26 536×1valid
5.1s9 292×2valid
2.1s4 432×0invalid
1.2s8 805×0exit
340.0ms893×3valid
Precisions
Click to see histograms. Total time spent on operations: 50.9s
ival-mult: 14.1s (27.8% of total)
ival-add: 5.1s (10% of total)
const: 4.3s (8.4% of total)
ival-div: 4.0s (7.8% of total)
ival-exp: 3.8s (7.4% of total)
ival-sub: 3.1s (6.1% of total)
adjust: 2.5s (5% of total)
ival-hypot: 2.2s (4.4% of total)
ival-log: 2.1s (4.1% of total)
ival-cos: 2.0s (3.9% of total)
ival-sin: 1.4s (2.7% of total)
ival-asin: 1.2s (2.4% of total)
ival-sqrt: 994.0ms (2% of total)
ival-atan2: 859.0ms (1.7% of total)
ival-pi: 451.0ms (0.9% of total)
exact: 434.0ms (0.9% of total)
ival-sinu: 424.0ms (0.8% of total)
ival-pow: 364.0ms (0.7% of total)
ival-asinh: 353.0ms (0.7% of total)
ival-acosh: 353.0ms (0.7% of total)
ival-fabs: 231.0ms (0.5% of total)
ival-atanh: 188.0ms (0.4% of total)
ival-neg: 180.0ms (0.4% of total)
ival-assert: 159.0ms (0.3% of total)
ival-cosu: 88.0ms (0.2% of total)
Bogosity

rewrite42.3s (17.3%)

Memory
426.6MiB live, 52 062.5MiB allocated; 13.1s collecting garbage
Stop Event
268×iter limit
174×node limit
17×unsound
3×saturated
Counts
30 547 → 65 813

eval19.8s (8.1%)

Memory
-240.7MiB live, 31 319.1MiB allocated; 7.8s collecting garbage
Compiler

Compiled 7 911 341 to 400 738 computations (94.9% saved)

explain14.6s (6%)

Memory
-38.3MiB live, 22 892.6MiB allocated; 4.7s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue11480
-.f64#fcancellation7433
/.f64#fo/o6290
/.f64#fo/n1960
sqrt.f32#foflow-rescue1790
sin.f64#fsensitivity1710
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)))sensitivity1680
log.f64(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))sensitivity1450
+.f64#fcancellation1441
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))sensitivity1401
sqrt.f64#fuflow-rescue1260
-.f64#fnan-rescue1140
/.f64#fn/o1040
/.f64(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))u/u550
↳(*.f64 (*.f64 i i) (*.f64 i i))underflow84
↳(*.f64 i i)underflow110
↳(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))underflow55
*.f64#fn*u550
+.f64#fnan-rescue440
/.f64#fu/n380
*.f64#fn*o340
/.f64#fn/u80
log.f32#foflow-rescue40
*.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
exp.f64#fsensitivity20
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-rescue10
↳(+.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))overflow1
↳(*.f64 x.re x.re)overflow68
↳(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow109
↳(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)overflow1
↳(*.f64 x.im x.im)overflow58
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-rescue10
↳(+.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))overflow1
↳(*.f64 x.re x.re)overflow68
↳(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow109
↳(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)overflow1
↳(*.f64 x.im x.im)overflow58
Confusion
Predicted +Predicted -
+355539
-17010828
Precision
0.9543624161073826
Recall
0.9891485809682805
Confusion?
Predicted +Predicted MaybePredicted -
+3555336
-170210826
Precision?
0.953887399463807
Recall?
0.989983305509182
Freqs
test
numberfreq
010867
13199
2525
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+3500
-0022
Precision?
1.0
Recall?
1.0
Samples
3.2s25 552×0valid
1.2s2 598×1valid
951.0ms970×2valid
22.0ms58×3valid
3.0ms6×5exit
Compiler

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

Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-mult: 959.0ms (24.2% of total)
ival-add: 692.0ms (17.4% of total)
adjust: 411.0ms (10.4% of total)
const: 328.0ms (8.3% of total)
ival-log: 268.0ms (6.8% of total)
ival-div: 240.0ms (6% of total)
ival-exp: 236.0ms (5.9% of total)
ival-hypot: 198.0ms (5% of total)
ival-sub: 184.0ms (4.6% of total)
ival-asin: 88.0ms (2.2% of total)
ival-sin: 56.0ms (1.4% of total)
ival-sqrt: 51.0ms (1.3% of total)
ival-cos: 51.0ms (1.3% of total)
ival-atan2: 43.0ms (1.1% of total)
ival-true: 26.0ms (0.7% of total)
ival-pow: 23.0ms (0.6% of total)
exact: 22.0ms (0.6% of total)
ival-fabs: 17.0ms (0.4% of total)
ival-pi: 15.0ms (0.4% of total)
ival-copysign: 13.0ms (0.3% of total)
ival-assert: 13.0ms (0.3% of total)
ival-neg: 12.0ms (0.3% of total)
ival-log1p: 8.0ms (0.2% of total)
ival-sinu: 7.0ms (0.2% of total)
ival-cosu: 5.0ms (0.1% of total)

series14.5s (5.9%)

Memory
644.0MiB live, 20 740.3MiB allocated; 5.4s collecting garbage
Counts
5 352 → 25 195
Calls

1182 calls:

TimeVariablePointExpression
954.0ms
alpha
@-inf
((/ (/ (+ (* (- beta alpha) 2) (* (+ 2 (+ alpha beta)) 2)) (* (+ 2 (+ alpha beta)) 2)) 2) (* (/ (* 2 (+ beta (+ 2 beta))) (+ 2 beta)) 1/4) (/ (* 2 (+ beta (+ 2 beta))) (+ 2 beta)) (* 2 (+ beta (+ 2 beta))) 2 (+ beta (+ 2 beta)) beta (+ 2 beta) 1/4 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (+ (/ beta (+ 2 beta)) 1) 1/2) 1/2 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/ beta alpha) alpha (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (/ (- (- (neg beta) 2) beta) alpha) -1/2) (/ (+ 1 beta) alpha) (+ 1 beta) 1 (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (* (+ (/ beta (+ 2 beta)) 1) 1/2) (+ (* (+ (* (- (* 1/16 beta) 1/8) beta) 1/4) beta) 1/2) (+ (* (- (* 1/16 beta) 1/8) beta) 1/4) (- (* 1/16 beta) 1/8) (* 1/16 beta) 1/16 1/8)
583.0ms
base
@inf
((* (log (sqrt (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) re im (/ (log base) (pow (log base) 2)) (log base) base (pow (log base) 2) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ 1 (pow (log base) -1))) (log im) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (exp (* (log (log (sqrt (+ (* im im) (* re re))))) 1)) (log base)) (exp (* (log (log (sqrt (+ (* im im) (* re re))))) 1)) (* (log (log (sqrt (+ (* im im) (* re re))))) 1) (log (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (/ 1 (pow (* (log (sqrt (+ (* im im) (* re re)))) (log base)) -1)) (exp (* (log (log base)) 2))) (/ 1 (pow (* (log (sqrt (+ (* im im) (* re re)))) (log base)) -1)) (pow (* (log (sqrt (+ (* im im) (* re re)))) (log base)) -1) (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) (/ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 0 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0))
253.0ms
x
@0
((/ (- (pow (+ (+ 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))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) -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))) 9) (+ (+ 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))) 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) (* (+ (* (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) x))) (+ (* (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 (+ (+ 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))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) -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))) 9) (+ (+ 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))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)))) (pow (+ (+ 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))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) -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))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) (+ 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))) 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) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 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) (* (+ (* (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)) 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176.0ms
x
@-inf
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(fabs x) (fabs x)) (/ (- 1 (pow (/ (+ (/ (/ (+ (pow (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 3) -702719377660061485667/30517578125000000000000) (+ (* (/ (- (/ (- (/ 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) (+ (* 3275911/10000000 (fabs x)) 1))) (- 79041399213529/976562500000000 (* (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 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) x))) (+ (* (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)) (- 1 (pow (/ (+ (/ (/ (+ (pow (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 3) -702719377660061485667/30517578125000000000000) (+ (* (/ (- (/ (- (/ 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) (+ (* 3275911/10000000 (fabs x)) 1))) (- 79041399213529/976562500000000 (* (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -8890523/31250000)))) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) (pow (/ (+ (/ (/ (+ (pow (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 3) -702719377660061485667/30517578125000000000000) (+ (* (/ (- (/ (- (/ 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) (+ (* 3275911/10000000 (fabs x)) 1))) (- 79041399213529/976562500000000 (* (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -8890523/31250000)))) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3) (/ (+ (/ (/ (+ (pow (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ 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3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 3) -702719377660061485667/30517578125000000000000) (+ (* (/ (- (/ (- (/ 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) (+ (* 3275911/10000000 (fabs x)) 1))) (- 79041399213529/976562500000000 (* (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -8890523/31250000)))) (+ (* (fabs x) 3275911/10000000) 1)) (/ (+ (pow (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 3) -702719377660061485667/30517578125000000000000) (+ (* (/ (- (/ (- (/ 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) (+ (* 3275911/10000000 (fabs x)) 1))) (- 79041399213529/976562500000000 (* (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -8890523/31250000)))) (+ (pow (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 3) -702719377660061485667/30517578125000000000000) (pow (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 3) -702719377660061485667/30517578125000000000000 (+ (* (/ (- (/ (- (/ 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) (+ (* 3275911/10000000 (fabs x)) 1))) (- 79041399213529/976562500000000 (* (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -8890523/31250000))) (- 79041399213529/976562500000000 (* (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -8890523/31250000)) 79041399213529/976562500000000 (* (/ (- (/ (- (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) 1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -8890523/31250000))
114.0ms
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)) (exp (* (log (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)) (* re re) (* im im) (* (atan2 im re) 0) (atan2 im re) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (- (pow (log base) 4) 0) (pow (log base) 2))) (/ (- (pow (log base) 4) 0) (pow (log base) 2)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 (pow (log base) 2) (/ (/ (- (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) 0) (- (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) 0) (- (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0)) (- (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) 0) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (- (* (log base) (log (sqrt (+ (* im im) (* re re))))) 0) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

derivations13.8s (5.6%)

Memory
-241.7MiB live, 14 084.4MiB allocated; 3.5s collecting garbage
Stop Event
36×fuel
21×done
Compiler

Compiled 37 162 to 4 300 computations (88.4% saved)

preprocess13.2s (5.4%)

Memory
528.5MiB live, 17 268.1MiB allocated; 3.3s collecting garbage
Stop Event
114×iter limit
72×node limit
42×saturated
Compiler

Compiled 87 648 to 14 591 computations (83.4% saved)

regimes12.1s (5%)

Memory
-60.9MiB live, 17 708.5MiB allocated; 4.2s collecting garbage
Counts
8 346 → 837
Calls

132 calls:

927.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
631.0ms
im
627.0ms
x
586.0ms
re
494.0ms
y.re
Compiler

Compiled 14 135 to 9 542 computations (32.5% saved)

prune8.6s (3.5%)

Memory
-456.1MiB live, 14 728.0MiB allocated; 4.1s collecting garbage
Counts
94 422 → 2 690
Compiler

Compiled 297 531 to 118 462 computations (60.2% saved)

bsearch3.8s (1.5%)

Memory
177.9MiB live, 5 788.9MiB allocated; 774ms collecting garbage
Algorithm
229×left-value
187×binary-search
Stop Event
177×narrow-enough
10×predicate-same
Samples
1.7s13 039×0valid
571.0ms1 417×1valid
85.0ms77×3valid
46.0ms187×2valid
Compiler

Compiled 122 420 to 68 355 computations (44.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-mult: 643.0ms (35% of total)
ival-hypot: 250.0ms (13.6% of total)
ival-sub: 133.0ms (7.2% of total)
ival-add: 126.0ms (6.9% of total)
ival-exp: 94.0ms (5.1% of total)
ival-sin: 90.0ms (4.9% of total)
ival-log: 89.0ms (4.8% of total)
adjust: 86.0ms (4.7% of total)
ival-div: 80.0ms (4.4% of total)
const: 79.0ms (4.3% of total)
ival-cos: 58.0ms (3.2% of total)
ival-atan2: 47.0ms (2.6% of total)
ival-sqrt: 27.0ms (1.5% of total)
ival-true: 11.0ms (0.6% of total)
ival-assert: 7.0ms (0.4% of total)
exact: 7.0ms (0.4% of total)
ival-neg: 7.0ms (0.4% of total)
ival-fabs: 2.0ms (0.1% of total)
ival-pi: 1.0ms (0.1% of total)

analyze3.4s (1.4%)

Memory
106.8MiB live, 3 648.9MiB allocated; 2.0s 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)

simplify2.8s (1.2%)

Memory
-0.1MiB live, 3 466.7MiB allocated; 527ms collecting garbage
Stop Event
37×node limit
20×saturated

start3.0ms (0%)

Memory
-35.4MiB live, 7.3MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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