Metrics for Herbie run

Date:	Thursday, October 10th, 2024
Commit:	deb9c114 on reorg-report-page
Hostname:	nightly with Racket 8.10
Seed:	2024284
Parameters:	256 points for 4 iterations
Flags:	`localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs` default

simplify1.6min (20%)

Memory

720.0MiB live, 61 888.6MiB allocated

Algorithm

461×	egg-herbie

Stop Event

605×	iter limit
276×	node limit
186×	saturated

Counts

16 218 → 16 055

soundness1.6min (19.7%)

Memory

-408.2MiB live, 37 604.4MiB allocated

Stop Event

381×	iter limit
238×	node limit
38×	fuel
19×	done
3×	saturated
3×	unsound

Compiler

Compiled 70 448 to 24 673 computations (65% saved)

sample1.6min (19.1%)

Memory

223.2MiB live, 100 192.9MiB allocated

Samples

55.0s	438 666×	0	valid
6.8s	22 363×	1	valid
4.4s	8 708×	2	valid
2.6s	4 322×	0	invalid
988.0ms	7 964×	0	exit
308.0ms	855×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 53.8s

ival-mult: 13.9s (25.8% of total)

ival-add: 9.5s (17.6% of total)

const: 4.7s (8.8% of total)

ival-div: 4.2s (7.8% of total)

ival-exp: 3.2s (5.9% of total)

ival-log: 2.8s (5.2% of total)

ival-hypot: 2.6s (4.9% of total)

ival-sub: 2.3s (4.4% of total)

ival-asin: 1.3s (2.5% of total)

ival-sin: 1.1s (2.1% of total)

ival-atan2: 1.1s (2.1% of total)

adjust: 1.1s (2% of total)

ival-cos: 876.0ms (1.6% of total)

ival-sqrt: 832.0ms (1.5% of total)

ival->: 525.0ms (1% of total)

exact: 377.0ms (0.7% of total)

ival-pow: 372.0ms (0.7% of total)

ival-asinh: 371.0ms (0.7% of total)

ival-acosh: 327.0ms (0.6% of total)

ival-sinu: 322.0ms (0.6% of total)

ival-pi: 302.0ms (0.6% of total)

ival-true: 289.0ms (0.5% of total)

ival-<=: 261.0ms (0.5% of total)

ival-assert: 203.0ms (0.4% of total)

ival->=: 199.0ms (0.4% of total)

ival-fabs: 195.0ms (0.4% of total)

ival-neg: 184.0ms (0.3% of total)

ival-atanh: 159.0ms (0.3% of total)

ival-cosu: 88.0ms (0.2% of total)

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

Bogosity

rewrite48.0s (9.8%)

Memory

-106.5MiB live, 48 101.2MiB allocated

Stop Event

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

Counts

2 909 → 108 563

localize37.7s (7.7%)

Memory

-523.0MiB live, 40 021.5MiB allocated

Samples

13.0s	41 330×	0	valid
6.1s	4 763×	1	valid
3.4s	1 774×	2	valid
1.0s	2 131×	0	invalid
756.0ms	684×	1	exit
380.0ms	644×	0	exit
315.0ms	271×	5	exit
103.0ms	105×	3	valid
28.0ms	10×	2	exit

Compiler

Compiled 161 372 to 13 879 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.7s

ival-mult: 5.8s (31.1% of total)

ival-add: 2.6s (13.8% of total)

ival-div: 1.9s (10.1% of total)

adjust: 1.3s (6.8% of total)

const: 1.1s (6% of total)

ival-pow: 1.0s (5.5% of total)

ival-log: 853.0ms (4.6% of total)

ival-hypot: 643.0ms (3.4% of total)

ival-sub: 557.0ms (3% of total)

ival-exp: 508.0ms (2.7% of total)

ival-neg: 497.0ms (2.7% of total)

ival-sqrt: 265.0ms (1.4% of total)

ival-asin: 263.0ms (1.4% of total)

ival-acos: 215.0ms (1.1% of total)

ival-copysign: 203.0ms (1.1% of total)

ival-pow2: 173.0ms (0.9% of total)

ival-sin: 172.0ms (0.9% of total)

ival-cos: 131.0ms (0.7% of total)

ival-log1p: 121.0ms (0.6% of total)

ival-atan2: 91.0ms (0.5% of total)

exact: 89.0ms (0.5% of total)

ival-pi: 52.0ms (0.3% of total)

ival-true: 47.0ms (0.3% of total)

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

ival-cosh: 27.0ms (0.1% of total)

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

ival-sinu: 17.0ms (0.1% of total)

ival-cosu: 11.0ms (0.1% of total)

ival-expm1: 6.0ms (0% of total)

eval34.7s (7.1%)

Memory: 398.3MiB live, 44 504.1MiB allocated
Compiler: Compiled 9 637 162 to 583 060 computations (93.9% saved)

preprocess16.1s (3.3%)

Memory

472.8MiB live, 14 930.8MiB allocated

Algorithm

57×	egg-herbie

Stop Event

114×	iter limit
76×	saturated
38×	node limit

Compiler

Compiled 95 314 to 18 545 computations (80.5% saved)

explain16.1s (3.3%)

Memory

-13.8MiB live, 18 430.3MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`#f`	oflow-rescue	1203	0
`-.f64`	`#f`	cancellation	759	3
`/.f64`	`#f`	o/o	654	0
`sin.f64`	`#f`	sensitivity	192	0
`/.f64`	`#f`	o/n	191	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	187	1
`sqrt.f32`	`#f`	oflow-rescue	174	0
`+.f64`	`#f`	cancellation	161	0
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	131	0
`sqrt.f64`	`#f`	uflow-rescue	129	0
`log.f32`	`(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))`	sensitivity	127	1
`-.f64`	`#f`	nan-rescue	103	0
`/.f64`	`#f`	n/o	98	0
`*.f64`	`#f`	*nu**	63	0
`/.f64`	`#f`	u/u	54	0
`+.f64`	`#f`	nan-rescue	46	0
`/.f64`	`#f`	u/n	42	0
`*.f64`	`#f`	*no**	32	0
`/.f64`	`#f`	n/u	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**	4	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	5
↳	`(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	5
↳	`(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	4
`log.f32`	`#f`	oflow-rescue	2	0
`exp.f64`	`(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))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	3575	81
-	190	10746

Precision

0.949535192563081

Recall

0.9778446389496718

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3575	1	80
-	190	5	10741

Precision?

0.9482895783611774

Recall?

0.9781181619256017

Freqs

test

number	freq
0	10827
1	3176
2	586
3	3

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	1
-	1	0	18

Precision?

0.9736842105263158

Recall?

0.9736842105263158

Samples

3.5s	25 816×	0	valid
1.2s	2 432×	1	valid
788.0ms	880×	2	valid
24.0ms	56×	3	valid

Compiler

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

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-mult: 1.0s (25.7% of total)

ival-add: 630.0ms (16% of total)

ival-div: 407.0ms (10.3% of total)

ival-log: 285.0ms (7.2% of total)

ival-hypot: 224.0ms (5.7% of total)

const: 218.0ms (5.5% of total)

ival-sub: 213.0ms (5.4% of total)

ival-exp: 209.0ms (5.3% of total)

adjust: 160.0ms (4.1% of total)

ival-sqrt: 137.0ms (3.5% of total)

ival-asin: 73.0ms (1.9% of total)

ival-sin: 62.0ms (1.6% of total)

ival-cos: 55.0ms (1.4% of total)

ival-sinu: 52.0ms (1.3% of total)

ival-atan2: 46.0ms (1.2% of total)

ival-true: 28.0ms (0.7% of total)

ival-pow: 21.0ms (0.5% of total)

exact: 21.0ms (0.5% of total)

ival-fabs: 19.0ms (0.5% of total)

ival-pi: 18.0ms (0.5% of total)

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

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

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

ival-log1p: 10.0ms (0.3% of total)

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

regimes14.6s (3%)

Memory

226.8MiB live, 18 648.2MiB allocated

Counts

9 183 → 980

Calls

132 calls:

1.2s	re
910.0ms	im
591.0ms	y.im
563.0ms	x
546.0ms	y.re

Compiler

Compiled 13 583 to 10 151 computations (25.3% saved)

series14.1s (2.9%)

Memory

200.4MiB live, 16 927.1MiB allocated

Counts

2 909 → 16 218

Calls

1233 calls:

Time	Variable		Point	Expression
333.0ms	x	@	0	((/ (- (* 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))) (* (+ (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 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))) (- (* 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) (* (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) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (+ (* (fabs x) 3275911/10000000) 1)) (exp (neg (* (fabs x) (fabs x))))) (- 1 (* (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 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(/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000))))) (/ 1 (/ (+ (* (fabs x) 3275911/10000000) 1) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000))) (* (fabs x) (fabs x)) (log (pow (- 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))) -1)) (exp (* (log (pow (- 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))) -1)) -1)) (* (log (pow (- 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))) -1)) -1) (log (/ (pow (exp x) x) (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000))) (- (neg (log (+ 1 (* (fabs x) 3275911/10000000)))) (log (/ (pow (exp x) x) (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)))) (/ (- (exp (* (- (neg (log (+ 1 (* (fabs x) 3275911/10000000)))) (log (/ (pow (exp x) x) (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000)))) 2)) 1) (+ (* (neg (pow (exp x) (neg x))) (/ (+ 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))) (+ (* 3275911/10000000 (fabs x)) 1))) -1)) (log (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* 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-1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (pow (exp x) x)) (+ (* (fabs x) 3275911/10000000) 1)) 2) 1) -1)) (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ -8890523/31250000 (/ 1 (/ (+ (* (fabs x) 3275911/10000000) 1) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000))))))) (exp (neg (* (fabs x) (fabs x)))))) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (* 3275911/10000000 (fabs 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))))

prune12.3s (2.5%)

Memory: -344.8MiB live, 17 311.5MiB allocated
Counts: 140 692 → 3 134
Compiler: Compiled 299 490 to 128 055 computations (57.2% saved)

bsearch5.9s (1.2%)

Memory

-457.9MiB live, 5 708.3MiB allocated

Algorithm

271×	left-value
228×	binary-search

Stop Event

220×	narrow-enough
8×	predicate-same

Samples

2.5s	15 077×	0	valid
911.0ms	2 069×	1	valid
34.0ms	131×	2	valid
13.0ms	51×	3	valid

Compiler

Compiled 159 032 to 89 424 computations (43.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-mult: 684.0ms (31.5% of total)

ival-hypot: 266.0ms (12.2% of total)

ival-sin: 201.0ms (9.3% of total)

ival-log: 164.0ms (7.5% of total)

ival-add: 157.0ms (7.2% of total)

ival-cos: 140.0ms (6.4% of total)

ival-sub: 115.0ms (5.3% of total)

ival-exp: 103.0ms (4.7% of total)

adjust: 88.0ms (4.1% of total)

ival-atan2: 88.0ms (4.1% of total)

const: 71.0ms (3.3% of total)

ival-div: 51.0ms (2.3% of total)

ival-sqrt: 16.0ms (0.7% of total)

ival-true: 14.0ms (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

245.5MiB live, 3 237.8MiB 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: 7.2MiB live, 7.1MiB allocated

end1.0ms (0%)

Memory: 1.2MiB live, 1.3MiB allocated

simplify1.6min (20%)

soundness1.6min (19.7%)

sample1.6min (19.1%)

rewrite48.0s (9.8%)

localize37.7s (7.7%)

eval34.7s (7.1%)

preprocess16.1s (3.3%)

explain16.1s (3.3%)

regimes14.6s (3%)

series14.1s (2.9%)

prune12.3s (2.5%)

bsearch5.9s (1.2%)

analyze2.5s (0.5%)

start2.0ms (0%)

end1.0ms (0%)

Profiling