Metrics for Herbie run

Date:	Friday, November 8th, 2024
Commit:	e1f2a9b8 on fix-1030
Hostname:	nightly with Racket 8.10
Seed:	2024313
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

sample2.1min (23.7%)

Memory

722.4MiB live, 101 301.5MiB allocated

Samples

1.0min	438 505×	0	valid
18.6s	22 556×	1	valid
4.5s	8 664×	2	valid
2.1s	4 302×	0	invalid
884.0ms	8 542×	0	exit
410.0ms	880×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1min

ival-mult: 25.2s (38.3% of total)

ival-add: 10.3s (15.6% of total)

const: 4.4s (6.6% of total)

ival-div: 4.3s (6.5% of total)

ival-exp: 2.9s (4.5% of total)

ival-hypot: 2.8s (4.2% of total)

ival-sub: 2.2s (3.3% of total)

ival-log: 2.2s (3.3% of total)

ival-asin: 1.7s (2.5% of total)

adjust: 1.3s (2% of total)

ival-cos: 1.1s (1.6% of total)

ival-sin: 1.0s (1.5% of total)

ival-sqrt: 894.0ms (1.4% of total)

ival-atan2: 856.0ms (1.3% of total)

ival-asinh: 572.0ms (0.9% of total)

ival-acosh: 506.0ms (0.8% of total)

ival-pow: 428.0ms (0.7% of total)

ival->: 383.0ms (0.6% of total)

ival-sinu: 377.0ms (0.6% of total)

exact: 361.0ms (0.5% of total)

ival-pi: 305.0ms (0.5% of total)

ival-neg: 285.0ms (0.4% of total)

ival-true: 275.0ms (0.4% of total)

ival-atanh: 270.0ms (0.4% of total)

ival-<=: 242.0ms (0.4% of total)

ival-fabs: 213.0ms (0.3% of total)

ival-cosu: 212.0ms (0.3% of total)

ival-assert: 190.0ms (0.3% of total)

ival->=: 136.0ms (0.2% of total)

ival-and: 77.0ms (0.1% of total)

Bogosity

soundness2.0min (22.7%)

Memory

-127.9MiB live, 33 053.5MiB allocated

Stop Event

345×	iter limit
219×	node limit
39×	fuel
18×	done
3×	saturated
2×	unsound

Compiler

Compiled 60 828 to 20 068 computations (67% saved)

simplify1.4min (15.4%)

Memory

282.0MiB live, 58 393.2MiB allocated

Algorithm

457×	egg-herbie

Stop Event

598×	iter limit
313×	node limit
146×	saturated

Counts

15 549 → 15 390

localize49.8s (9.4%)

Memory

-10.5MiB live, 38 058.9MiB allocated

Samples

13.6s	41 549×	0	valid
5.3s	3 931×	1	valid
4.4s	1 868×	2	valid
2.0s	3 324×	0	invalid
152.0ms	326×	1	exit
144.0ms	84×	0	exit
82.0ms	97×	3	valid
14.0ms	6×	5	exit
13.0ms	11×	1	invalid
5.0ms	4×	2	exit

Compiler

Compiled 172 869 to 14 075 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.2s

ival-mult: 5.7s (31.4% of total)

ival-add: 2.4s (13.5% of total)

ival-div: 2.0s (11% of total)

const: 1.3s (7.3% of total)

adjust: 1.0s (5.7% of total)

ival-pow: 879.0ms (4.8% of total)

ival-sub: 819.0ms (4.5% of total)

ival-exp: 708.0ms (3.9% of total)

ival-log: 651.0ms (3.6% of total)

ival-hypot: 440.0ms (2.4% of total)

ival-asin: 376.0ms (2.1% of total)

ival-sqrt: 347.0ms (1.9% of total)

ival-pow2: 246.0ms (1.4% of total)

ival-neg: 230.0ms (1.3% of total)

ival-acos: 205.0ms (1.1% of total)

ival-sin: 151.0ms (0.8% of total)

ival-cos: 137.0ms (0.8% of total)

ival-atan2: 87.0ms (0.5% of total)

exact: 85.0ms (0.5% of total)

ival-log1p: 62.0ms (0.3% of total)

ival-fabs: 62.0ms (0.3% of total)

ival-pi: 45.0ms (0.2% of total)

ival-true: 43.0ms (0.2% of total)

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

ival-assert: 22.0ms (0.1% of total)

ival-cosh: 16.0ms (0.1% of total)

ival-sinu: 14.0ms (0.1% of total)

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

rewrite45.7s (8.6%)

Memory

320.1MiB live, 45 474.1MiB allocated

Stop Event

418×	iter limit
192×	node limit
7×	saturated
3×	unsound

Counts

2 924 → 113 294

eval30.8s (5.8%)

Memory: -294.4MiB live, 38 621.0MiB allocated
Compiler: Compiled 8 981 865 to 563 318 computations (93.7% saved)

explain19.8s (3.7%)

Memory

-365.1MiB live, 17 292.5MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`#f`	oflow-rescue	1143	0
`-.f64`	`#f`	cancellation	759	0
`/.f64`	`#f`	o/o	670	0
`/.f64`	`#f`	o/n	196	0
`sqrt.f32`	`#f`	oflow-rescue	193	0
`sin.f64`	`#f`	sensitivity	186	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	183	0
`+.f64`	`#f`	cancellation	153	0
`sqrt.f64`	`#f`	uflow-rescue	128	0
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	126	0
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	sensitivity	122	1
`-.f64`	`#f`	nan-rescue	102	0
`/.f64`	`#f`	n/o	88	0
`*.f64`	`#f`	*nu**	80	0
`/.f64`	`#f`	u/u	71	0
`+.f64`	`#f`	nan-rescue	53	0
`*.f64`	`#f`	*no**	33	0
`/.f64`	`#f`	u/n	22	0
`/.f64`	`#f`	n/u	19	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**	3	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	3
`log.f32`	`#f`	oflow-rescue	2	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)))`	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	68
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	122
↳	`(.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	74
`exp.f64`	`(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))`	sensitivity	1	0
`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	68
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	122
↳	`(.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	74

Confusion

	Predicted +	Predicted -
+	3533	87
-	194	10778

Precision

0.9479474107861551

Recall

0.9759668508287292

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3533	1	86
-	194	3	10775

Precision?

0.9471991423210936

Recall?

0.976243093922652

Freqs

test

number	freq
0	10865
1	3124
2	598
3	5

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	1
-	0	0	18

Precision?

1.0

Recall?

0.9743589743589743

Samples

3.7s	25 814×	0	valid
1.3s	2 408×	1	valid
683.0ms	902×	2	valid
22.0ms	58×	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: 3.7s

ival-mult: 1.1s (29.6% of total)

ival-add: 566.0ms (15.3% of total)

ival-sin: 265.0ms (7.2% of total)

const: 252.0ms (6.8% of total)

ival-div: 221.0ms (6% of total)

adjust: 174.0ms (4.7% of total)

ival-exp: 174.0ms (4.7% of total)

ival-log: 174.0ms (4.7% of total)

ival-hypot: 170.0ms (4.6% of total)

ival-sub: 115.0ms (3.1% of total)

ival-asin: 77.0ms (2.1% of total)

ival-copysign: 67.0ms (1.8% of total)

ival-cos: 57.0ms (1.5% of total)

ival-sqrt: 55.0ms (1.5% of total)

ival-fabs: 50.0ms (1.4% of total)

ival-atan2: 45.0ms (1.2% of total)

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

ival-pow: 23.0ms (0.6% of total)

exact: 21.0ms (0.6% of total)

ival-log1p: 17.0ms (0.5% of total)

ival-pi: 14.0ms (0.4% of total)

ival-assert: 13.0ms (0.4% of total)

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

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

ival-cosu: 6.0ms (0.2% of total)

preprocess15.4s (2.9%)

Memory

191.4MiB live, 12 531.5MiB allocated

Algorithm

57×	egg-herbie

Stop Event

114×	iter limit
77×	saturated
37×	node limit

Compiler

Compiled 95 420 to 16 205 computations (83% saved)

series13.0s (2.4%)

Memory

297.4MiB live, 14 923.4MiB allocated

Counts

2 924 → 15 549

Calls

1224 calls:

Time	Variable		Expression
467.0ms	x	@	((+ (pow (+ (* (+ (* (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1) (* (pow (+ (* (+ (* (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1) (pow (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3))) (- (pow (+ (* (+ (* (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -2) (pow (* (neg (pow (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) (pow (+ (* (+ (* (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1)) 2)) (* (neg (pow (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) (pow (+ (* (+ (* (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1)) (* (pow (+ (* (+ (* (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (+ (* (fabs x) 3275911/10000000) 1)) (pow (exp x) (neg x))) 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x)))) 1) -1) (pow (/ (+ 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) (+ (* (fabs x) 3275911/10000000) 1))) (* (+ (* (fabs x) 3275911/10000000) 1) (pow (exp x) x))) 3)) (- (+ (/ 8890523/31250000 (pow (+ (* (fabs x) 3275911/10000000) 1) 2)) 1) (/ 31853699/125000000 (+ (* (fabs x) 3275911/10000000) 1))) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (+ (* (/ (/ (+ (/ (+ (/ 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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)) (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000)) 1) (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 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) (+ (* 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) (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (pow (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 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) (+ (* 3275911/10000000 (fabs x)) 1))) 3) (pow (+ (* (+ (* (/ (pow (exp x) (neg x)) (+ (* 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)) -8890523/31250000) (+ (* 3275911/10000000 (fabs x)) 1)) 31853699/125000000)) 1) (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 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) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) -2) (- 31853699/125000000 (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1))) (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (fabs x) 3275911/10000000) 1) (+ (* (+ (* -3275911/10000000 (fabs x)) 1) (/ 1061405429/1000000000 (+ (* -10731592879921/100000000000000 (* x x)) 1))) -1453152027/1000000000) (/ 1061405429/1000000000 (+ (* -10731592879921/100000000000000 (* x x)) 1)) (+ (/ (+ (* (+ (* -3275911/10000000 (fabs x)) 1) (/ 1061405429/1000000000 (+ (* -10731592879921/100000000000000 (* x x)) 1))) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (* (+ (* 10731592879921/100000000000000 (* x x)) (+ (* -3275911/10000000 (fabs x)) 1)) (/ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* -10731592879921/100000000000000 (* x x)) 1)) (+ (* 35155743162854883031/1000000000000000000000 (pow (fabs x) 3)) 1))) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (+ (* (+ (* -3275911/10000000 (fabs x)) 1) (* (+ (* 10731592879921/100000000000000 (* x x)) (+ (* -3275911/10000000 (fabs x)) 1)) (/ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* -10731592879921/100000000000000 (* x x)) 1)) (+ (* 35155743162854883031/1000000000000000000000 (pow (fabs x) 3)) 1)))) (/ -8890523/31250000 (+ (* 3275911/10000000 (fabs x)) 1))))) (exp (neg (* (fabs x) (fabs x)))))) (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* -10731592879921/100000000000000 (* x x)) 1)) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (pow (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) 3))
229.0ms	x.re	@	((/ (+ (* y.im x.im) (* y.re x.re)) (+ (* y.im y.im) (* y.re y.re))) (/ (+ (* (/ y.im y.re) x.im) x.re) y.re) (+ (* (/ y.im y.re) x.im) x.re) (/ y.im y.re) (/ (+ (* y.im x.im) (* y.re x.re)) (+ (* y.im y.im) (* y.re y.re))) (/ x.re y.re) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (* (/ x.re (+ (* y.im y.im) (* y.re y.re))) y.re) (/ x.re (+ (* y.im y.im) (* y.re y.re))) (/ (/ x.re y.re) y.re) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* (/ x.im y.re) y.im) x.re) y.re) (+ (* (/ x.im y.re) y.im) x.re) (/ x.im y.re) (+ (* (* y.re (/ (neg y.re) y.im)) x.im) (* x.re y.re)) (+ (/ (+ (* (* y.re (/ (neg y.re) y.im)) x.im) (* x.re y.re)) y.im) x.im) (/ (+ (* y.im x.im) (* y.re x.re)) (+ (* y.im y.im) (* y.re y.re))) (/ (+ (/ (+ (* (* y.re (/ (neg y.re) y.im)) x.im) (* x.re y.re)) y.im) x.im) y.im) (/ (+ (* (* y.re (/ (neg y.re) y.im)) x.im) (* x.re y.re)) y.im))
228.0ms	x.im	@	((+ (* (neg x.re) (/ y.im (+ (* y.im y.im) (* y.re y.re)))) (* (/ y.re (+ (* y.im y.im) (* y.re y.re))) x.im)) (neg x.re) (/ y.im (+ (* y.im y.im) (* y.re y.re))) (+ (* y.im y.im) (* y.re y.re)) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ x.im y.re) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (* (neg x.re) (/ y.im (+ (* y.im y.im) (* y.re y.re)))) (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (- x.im (/ (* x.re y.im) y.re)) y.re) (- x.im (/ (* x.re y.im) y.re)) (/ (* x.re y.im) y.re) (* (+ (* (neg x.im) y.re) (* x.re y.im)) (/ -1 (+ (* y.im y.im) (* y.re y.re)))) (+ (* (neg x.im) y.re) (* x.re y.im)) (neg x.im) (* x.re y.im) (/ y.re (+ (* y.im y.im) (* y.re y.re))) (* (/ y.re (+ (* y.im y.im) (* y.re y.re))) x.im) (/ -1 (+ (* y.im y.im) (* y.re y.re))))
193.0ms	x	@	((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (- x (/ -1/2 x)))

regimes12.3s (2.3%)

Memory

-212.9MiB live, 16 073.4MiB allocated

Counts

8 010 → 891

Calls

132 calls:

861.0ms	re
719.0ms	im
658.0ms	y.re
656.0ms	x
411.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 12 509 to 8 956 computations (28.4% saved)

prune9.9s (1.9%)

Memory: -134.2MiB live, 14 505.3MiB allocated
Counts: 137 713 → 3 069
Compiler: Compiled 299 016 to 123 787 computations (58.6% saved)

bsearch4.1s (0.8%)

Memory

-9.1MiB live, 4 214.9MiB allocated

Algorithm

235×	binary-search
218×	left-value

Stop Event

228×	narrow-enough
7×	predicate-same

Samples

1.7s	14 489×	0	valid
801.0ms	1 854×	1	valid
33.0ms	129×	2	valid
32.0ms	104×	3	valid

Compiler

Compiled 152 516 to 84 807 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-mult: 645.0ms (32.3% of total)

ival-hypot: 323.0ms (16.2% of total)

ival-add: 195.0ms (9.8% of total)

ival-log: 185.0ms (9.3% of total)

ival-exp: 121.0ms (6.1% of total)

ival-cos: 85.0ms (4.3% of total)

ival-sin: 84.0ms (4.2% of total)

ival-sub: 83.0ms (4.2% of total)

ival-div: 73.0ms (3.7% of total)

ival-atan2: 62.0ms (3.1% of total)

adjust: 60.0ms (3% of total)

const: 42.0ms (2.1% of total)

ival-sqrt: 19.0ms (1% of total)

ival-true: 12.0ms (0.6% of total)

ival-assert: 6.0ms (0.3% of total)

exact: 4.0ms (0.2% of total)

analyze2.5s (0.5%)

Memory

-35.9MiB live, 3 067.9MiB 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: 5.0MiB live, 4.9MiB allocated

end0.0ms (0%)

Memory: 0.9MiB live, 0.8MiB allocated

sample2.1min (23.7%)

soundness2.0min (22.7%)

simplify1.4min (15.4%)

localize49.8s (9.4%)

rewrite45.7s (8.6%)

eval30.8s (5.8%)

explain19.8s (3.7%)

preprocess15.4s (2.9%)

series13.0s (2.4%)

regimes12.3s (2.3%)

prune9.9s (1.9%)

bsearch4.1s (0.8%)

analyze2.5s (0.5%)

start2.0ms (0%)

end0.0ms (0%)

Profiling