Metrics for Herbie run

Date:	Tuesday, November 26th, 2024
Commit:	0bc53aaa on bhargav-bigfloat
Hostname:	nightly with Racket 8.10
Seed:	2024331
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

sample1.8min (20.8%)

Memory

355.8MiB live, 98 054.2MiB allocated

Samples

1.0min	438 586×	0	valid
7.4s	22 534×	1	valid
4.5s	8 638×	2	valid
3.0s	4 475×	0	invalid
1.4s	9 487×	0	exit
309.0ms	891×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 56.6s

ival-mult: 15.1s (26.6% of total)

ival-add: 10.4s (18.4% of total)

const: 5.4s (9.5% of total)

ival-div: 4.0s (7% of total)

ival-exp: 2.9s (5.1% of total)

ival-hypot: 2.7s (4.8% of total)

ival-log: 2.2s (3.9% of total)

ival-sub: 2.2s (3.9% of total)

adjust: 1.7s (3.1% of total)

ival-asin: 1.4s (2.4% of total)

ival-atan2: 1.1s (1.9% of total)

ival-sin: 1.1s (1.9% of total)

ival-cos: 875.0ms (1.5% of total)

ival-sqrt: 836.0ms (1.5% of total)

ival-pi: 661.0ms (1.2% of total)

ival-acosh: 618.0ms (1.1% of total)

ival-asinh: 480.0ms (0.8% of total)

exact: 369.0ms (0.7% of total)

ival-pow: 367.0ms (0.6% of total)

ival->: 342.0ms (0.6% of total)

ival-true: 280.0ms (0.5% of total)

ival-sinu: 252.0ms (0.4% of total)

ival-atanh: 228.0ms (0.4% of total)

ival-fabs: 221.0ms (0.4% of total)

ival-neg: 207.0ms (0.4% of total)

ival-assert: 195.0ms (0.3% of total)

ival-<=: 185.0ms (0.3% of total)

ival-cosu: 121.0ms (0.2% of total)

ival->=: 105.0ms (0.2% of total)

ival-and: 78.0ms (0.1% of total)

Bogosity

soundness1.6min (18.9%)

Memory

49.3MiB live, 36 692.4MiB allocated

Stop Event

389×	iter limit
245×	node limit
40×	fuel
17×	done
3×	saturated
3×	unsound

Compiler

Compiled 69 300 to 23 573 computations (66% saved)

simplify1.2min (14.7%)

Memory

596.9MiB live, 61 368.9MiB allocated

Algorithm

465×	egg-herbie

Stop Event

611×	iter limit
283×	node limit
183×	saturated

Counts

16 524 → 16 347

eval59.7s (11.8%)

Memory: 247.4MiB live, 42 970.7MiB allocated
Compiler: Compiled 9 368 596 to 591 102 computations (93.7% saved)

rewrite53.8s (10.6%)

Memory

-16.6MiB live, 51 086.7MiB allocated

Stop Event

426×	iter limit
195×	node limit
6×	saturated
4×	unsound

Counts

2 946 → 120 438

localize38.4s (7.6%)

Memory

154.5MiB live, 37 487.2MiB allocated

Samples

17.4s	42 286×	0	valid
6.1s	4 355×	1	valid
3.9s	1 820×	2	valid
1.5s	2 995×	0	invalid
344.0ms	422×	1	exit
105.0ms	246×	0	exit
89.0ms	85×	3	valid
28.0ms	7×	2	exit
7.0ms	5×	4	valid
4.0ms	3×	5	exit

Compiler

Compiled 162 906 to 13 946 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0s

ival-mult: 5.2s (22.7% of total)

ival-sub: 4.6s (20.1% of total)

ival-add: 2.2s (9.6% of total)

ival-div: 2.1s (8.9% of total)

const: 1.7s (7.5% of total)

adjust: 1.3s (5.5% of total)

ival-log: 977.0ms (4.2% of total)

ival-pow: 768.0ms (3.3% of total)

ival-hypot: 622.0ms (2.7% of total)

ival-exp: 544.0ms (2.4% of total)

ival-asin: 414.0ms (1.8% of total)

ival-acos: 386.0ms (1.7% of total)

ival-sqrt: 360.0ms (1.6% of total)

ival-pi: 327.0ms (1.4% of total)

ival-atan2: 280.0ms (1.2% of total)

ival-neg: 225.0ms (1% of total)

ival-cbrt: 194.0ms (0.8% of total)

ival-pow2: 161.0ms (0.7% of total)

ival-sin: 155.0ms (0.7% of total)

ival-cos: 126.0ms (0.5% of total)

exact: 86.0ms (0.4% of total)

ival-copysign: 75.0ms (0.3% of total)

ival-log1p: 68.0ms (0.3% of total)

ival-fabs: 49.0ms (0.2% of total)

ival-true: 44.0ms (0.2% of total)

ival-assert: 23.0ms (0.1% of total)

ival-cosh: 19.0ms (0.1% of total)

ival-sinu: 18.0ms (0.1% of total)

ival-cosu: 12.0ms (0.1% of total)

regimes16.2s (3.2%)

Memory

28.9MiB live, 19 169.5MiB allocated

Counts

9 475 → 963

Calls

132 calls:

1.2s	y.re
966.0ms	y.im
948.0ms	im
820.0ms	re
612.0ms	x

Compiler

Compiled 14 535 to 10 253 computations (29.5% saved)

explain15.5s (3.1%)

Memory

-344.6MiB live, 17 290.5MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`#f`	oflow-rescue	1247	0
`-.f64`	`#f`	cancellation	782	0
`/.f64`	`#f`	o/o	595	0
`sqrt.f32`	`#f`	oflow-rescue	186	0
`/.f64`	`#f`	o/n	185	0
`sin.f64`	`#f`	sensitivity	175	0
`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)))`	sensitivity	172	0
`+.f64`	`#f`	cancellation	164	0
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	145	0
`sqrt.f64`	`#f`	uflow-rescue	135	0
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	sensitivity	121	2
`-.f64`	`#f`	nan-rescue	91	0
`/.f64`	`#f`	n/o	90	0
`/.f64`	`#f`	u/u	70	0
`*.f64`	`#f`	*nu**	59	0
`/.f64`	`#f`	u/n	39	0
`+.f64`	`#f`	nan-rescue	38	0
`*.f64`	`#f`	*no**	27	0
`/.f64`	`#f`	n/u	14	0
`exp.f64`	`#f`	sensitivity	13	0
`log.f32`	`#f`	oflow-rescue	4	0
`*.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)))))`	*ou**	2	0
↳	`(.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))))`	overflow	3
↳	`(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)))`	overflow	3
↳	`(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))))`	underflow	2
`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-rescue	1	0
↳	`(+.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))`	overflow	1
↳	`(*.f64 x.re x.re)`	overflow	78
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	123
↳	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`	overflow	1
↳	`(*.f64 x.im x.im)`	overflow	62
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`	oflow-rescue	1	0
↳	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`	overflow	1
↳	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	128
↳	`(*.f64 x x)`	overflow	128
`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-rescue	1	0
↳	`(+.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))`	overflow	1
↳	`(*.f64 x.re x.re)`	overflow	78
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	123
↳	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`	overflow	1
↳	`(*.f64 x.im x.im)`	overflow	62

Confusion

	Predicted +	Predicted -
+	3636	75
-	177	10704

Precision

0.953579858379229

Recall

0.9797898140662894

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3636	1	74
-	177	1	10703

Precision?

0.9533420707732634

Recall?

0.9800592832120723

Freqs

test

number	freq
0	10779
1	3272
2	538
3	3

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	1
-	2	0	19

Precision?

0.9459459459459459

Recall?

0.9722222222222222

Samples

3.5s	25 874×	0	valid
1.4s	2 398×	1	valid
728.0ms	850×	2	valid
35.0ms	60×	3	valid
1.0ms	2×	5	exit

Compiler

Compiled 19 577 to 2 968 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-mult: 1.4s (33.6% of total)

ival-add: 492.0ms (12.1% of total)

ival-div: 356.0ms (8.8% of total)

const: 311.0ms (7.7% of total)

adjust: 293.0ms (7.2% of total)

ival-log: 256.0ms (6.3% of total)

ival-hypot: 200.0ms (4.9% of total)

ival-exp: 176.0ms (4.3% of total)

ival-sub: 149.0ms (3.7% of total)

ival-asin: 70.0ms (1.7% of total)

ival-sin: 56.0ms (1.4% of total)

ival-cos: 54.0ms (1.3% of total)

ival-sqrt: 46.0ms (1.1% of total)

ival-atan2: 43.0ms (1.1% of total)

ival-pow: 37.0ms (0.9% of total)

ival-fabs: 35.0ms (0.9% of total)

ival-true: 27.0ms (0.7% of total)

exact: 21.0ms (0.5% of total)

ival-pi: 14.0ms (0.3% of total)

ival-assert: 13.0ms (0.3% of total)

ival-neg: 12.0ms (0.3% of total)

ival-copysign: 12.0ms (0.3% of total)

ival-log1p: 10.0ms (0.2% of total)

ival-sinu: 7.0ms (0.2% of total)

ival-cosu: 6.0ms (0.1% of total)

series15.1s (3%)

Memory

164.5MiB live, 16 137.9MiB allocated

Counts

2 946 → 16 524

Calls

1248 calls:

Time	Variable		Point	Expression
660.0ms	x	@	0	((+ (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) (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))) (- (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)) (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)) 2)) (* (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)) (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) (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)) (* (+ (* (fabs x) 3275911/10000000) 1) 1000000000/1061405429) (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 1 (* (+ (* (fabs x) 3275911/10000000) 1) 1000000000/1061405429)) -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 (* (+ (* (fabs x) 3275911/10000000) 1) 1000000000/1061405429)) -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 (* (+ (* (fabs x) 3275911/10000000) 1) 1000000000/1061405429)) -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 (* 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)))))) (* (/ 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))))))) (* (/ 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))))) (* (fabs x) (fabs 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) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) 2)) (+ (* (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))) 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) (/ (+ (/ (+ (/ (+ (/ (+ (/ 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))) (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (/ (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) x)) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) (- (pow (+ (* (/ (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) x)) (+ (* (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) (neg x))) 1)) 1) -1) (/ (pow (/ (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) x)) 3) (+ (* (/ (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) x)) (+ (* (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) (neg x))) 1)) 1))) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (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)) (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)) 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) x)) 3) (+ (/ 1 (* (+ (* (fabs x) 3275911/10000000) 1) 1000000000/1061405429)) -1453152027/1000000000) (/ 1 (* (+ (* (fabs x) 3275911/10000000) 1) 1000000000/1061405429)) (+ (/ (+ (/ 1 (* (+ (* (fabs x) 3275911/10000000) 1) 1000000000/1061405429)) -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) (- 1 (* 10731592879921/100000000000000 (* x x)))) (- 1 (* (fabs x) 3275911/10000000))) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (pow (/ (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) x)) 3) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))))
244.0ms	x	@	-inf	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x))
198.0ms	im	@	-inf	((* (pow (log base) -2) (log base)) (* (* (pow (log base) -2) (log base)) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -2) (log base) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ 1 (* (neg (log base)) (/ -1 (log (sqrt (+ (* im im) (* re re))))))) (* (neg (log base)) (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (neg (log base)) (exp (* (log (/ (log base) (log im))) -1)) (* (log (/ (log base) (log im))) -1) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log (/ (log base) (log im))) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ -1 (log base)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/ (log base) (log im)) (pow (log base) 2))
164.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
158.0ms	x	@	0	((+ (* (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (pow (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) -2)) (neg (* (* (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1))) 3) (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1)) (pow (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) -2)))) (* (* (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1))) 3) (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1)) (pow (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) -2)) (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 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)) (exp (neg (* x 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)) (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)) (+ (/ (+ (/ (+ (/ (+ (/ 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) (* (+ (* (* (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) -1) (/ 1 (* (+ (* (fabs x) 3275911/10000000) 1) (neg (+ (* (fabs x) 3275911/10000000) 1))))) (/ 31853699/125000000 (+ (* (fabs x) 3275911/10000000) 1))) (exp (neg (* (fabs x) (fabs x))))) (* (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) -1) (* (fabs x) (fabs x)) (+ (* (* (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) -1) (/ 1 (* (+ (* (fabs x) 3275911/10000000) 1) (neg (+ (* (fabs x) 3275911/10000000) 1))))) (/ 31853699/125000000 (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (pow (+ (* 3275911/10000000 (fabs x)) 1) -1) (neg (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) x)))) 1) (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) (neg (/ (+ (/ (+ (* (/ -1 (pow (+ (* 3275911/10000000 (fabs x)) 1) 2)) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)))) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000) (pow (exp x) 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) (* (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)) (* (+ (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 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))) (pow (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) 2)) (- (* 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) (* (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)) (* (+ (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 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))) (* 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) (* (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)) (+ (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 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) (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* (pow (exp x) x) (+ (* 3275911/10000000 (fabs x)) 1))) 3) (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) (- 1 (* (+ (* (* (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) -1) (/ 1 (* (+ (* (fabs x) 3275911/10000000) 1) (neg (+ (* (fabs x) 3275911/10000000) 1))))) (/ 31853699/125000000 (+ (* (fabs x) 3275911/10000000) 1))) (exp (neg (* (fabs x) (fabs x)))))) (/ 1 (* (+ (* (fabs x) 3275911/10000000) 1) (neg (+ (* (fabs x) 3275911/10000000) 1)))) (+ (* (+ (* -3275911/10000000 (fabs x)) -1) (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (* -1421413741/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (/ -1 (pow (+ (* 3275911/10000000 (fabs 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) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) 3))

preprocess14.1s (2.8%)

Memory

355.8MiB live, 12 695.4MiB allocated

Algorithm

57×	egg-herbie

Stop Event

114×	iter limit
76×	saturated
38×	node limit

Compiler

Compiled 102 854 to 18 337 computations (82.2% saved)

prune10.8s (2.1%)

Memory: -302.8MiB live, 15 420.5MiB allocated
Counts: 144 695 → 3 284
Compiler: Compiled 331 614 to 131 230 computations (60.4% saved)

bsearch5.1s (1%)

Memory

-84.7MiB live, 4 729.7MiB allocated

Algorithm

273×	left-value
216×	binary-search

Stop Event

202×	narrow-enough
14×	predicate-same

Samples

2.0s	14 971×	0	valid
789.0ms	1 764×	1	valid
44.0ms	100×	2	valid
12.0ms	45×	3	valid

Compiler

Compiled 142 334 to 79 944 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-mult: 674.0ms (32.4% of total)

ival-hypot: 237.0ms (11.4% of total)

ival-add: 168.0ms (8.1% of total)

ival-log: 165.0ms (7.9% of total)

ival-div: 123.0ms (5.9% of total)

ival-sin: 107.0ms (5.1% of total)

ival-exp: 97.0ms (4.7% of total)

ival-cos: 93.0ms (4.5% of total)

ival-sub: 92.0ms (4.4% of total)

ival-atan2: 89.0ms (4.3% of total)

const: 88.0ms (4.2% of total)

adjust: 84.0ms (4% of total)

ival-sqrt: 37.0ms (1.8% of total)

ival-true: 13.0ms (0.6% of total)

ival-assert: 7.0ms (0.3% of total)

exact: 5.0ms (0.2% of total)

ival-copysign: 1.0ms (0% of total)

ival-fabs: 1.0ms (0% of total)

analyze2.5s (0.5%)

Memory

18.3MiB live, 3 195.2MiB allocated

Algorithm

58×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	86.3%	13.7%	0%	0%	0%	0
55.4%	47.8%	38.5%	13.7%	0%	0%	0%	1
65.9%	55.7%	28.9%	13.7%	0%	1.7%	0%	2
71.2%	58.4%	23.6%	13.7%	0%	4.3%	0%	3
77.4%	62%	18.1%	13.7%	0%	6.2%	0%	4
83.5%	66.8%	13.2%	13.7%	0%	6.3%	0%	5
85.8%	68.3%	11.3%	13.7%	0%	6.6%	0%	6
88.3%	70.3%	9.4%	13.7%	0%	6.6%	0%	7
89.9%	71.5%	8%	13.7%	0%	6.8%	0%	8
91.1%	72.5%	7.1%	13.7%	0%	6.8%	0%	9
92.6%	73.6%	5.9%	13.7%	0%	6.8%	0%	10
94%	74.7%	4.8%	13.7%	0%	6.8%	0%	11
94.5%	75.1%	4.4%	13.7%	0%	6.9%	0%	12

Compiler

Compiled 1 498 to 816 computations (45.5% saved)

start2.0ms (0%)

Memory: 4.1MiB live, 4.1MiB allocated

end0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated

sample1.8min (20.8%)

soundness1.6min (18.9%)

simplify1.2min (14.7%)

eval59.7s (11.8%)

rewrite53.8s (10.6%)

localize38.4s (7.6%)

regimes16.2s (3.2%)

explain15.5s (3.1%)

series15.1s (3%)

preprocess14.1s (2.8%)

prune10.8s (2.1%)

bsearch5.1s (1%)

analyze2.5s (0.5%)

start2.0ms (0%)

end0.0ms (0%)

Profiling