Metrics for Herbie run

Date:	Wednesday, October 30th, 2024
Commit:	aeaf0403 on bhargav-double-double
Hostname:	nightly with Racket 8.10
Seed:	2024304
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

soundness1.7min (24%)

Memory

-196.2MiB live, 28 900.7MiB allocated

Stop Event

318×	iter limit
200×	node limit
28×	fuel
18×	done
3×	saturated
3×	unsound

Compiler

Compiled 64 324 to 21 650 computations (66.3% saved)

sample1.5min (21.6%)

Memory

385.7MiB live, 91 952.8MiB allocated

Samples

51.6s	438 717×	0	valid
8.3s	22 291×	1	valid
5.7s	8 721×	2	valid
2.1s	4 386×	0	invalid
712.0ms	8 165×	0	exit
297.0ms	870×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 50.8s

ival-mult: 13.0s (25.6% of total)

ival-add: 5.4s (10.7% of total)

const: 4.9s (9.6% of total)

ival-div: 4.6s (9% of total)

ival-exp: 3.3s (6.4% of total)

ival-hypot: 3.0s (5.8% of total)

ival-sub: 2.9s (5.7% of total)

ival-log: 2.4s (4.7% of total)

ival-asin: 1.5s (2.9% of total)

ival-cos: 1.4s (2.8% of total)

adjust: 1.4s (2.7% of total)

ival-sin: 1.0s (2% of total)

ival-atan2: 967.0ms (1.9% of total)

ival-sqrt: 763.0ms (1.5% of total)

ival-neg: 505.0ms (1% of total)

ival-<=: 408.0ms (0.8% of total)

ival-pow: 366.0ms (0.7% of total)

exact: 364.0ms (0.7% of total)

ival->: 338.0ms (0.7% of total)

ival-pi: 318.0ms (0.6% of total)

ival-acosh: 308.0ms (0.6% of total)

ival-sinu: 291.0ms (0.6% of total)

ival-true: 281.0ms (0.6% of total)

ival-asinh: 269.0ms (0.5% of total)

ival-cosu: 226.0ms (0.4% of total)

ival-fabs: 222.0ms (0.4% of total)

ival-assert: 186.0ms (0.4% of total)

ival-atanh: 163.0ms (0.3% of total)

ival-and: 79.0ms (0.2% of total)

ival->=: 73.0ms (0.1% of total)

Bogosity

simplify1.1min (15.6%)

Memory

34.9MiB live, 49 268.2MiB allocated

Algorithm

372×	egg-herbie

Stop Event

488×	iter limit
223×	node limit
150×	saturated

Counts

12 005 → 11 870

rewrite36.1s (8.4%)

Memory

278.8MiB live, 38 459.4MiB allocated

Stop Event

344×	iter limit
156×	node limit
4×	saturated
4×	unsound

Counts

2 291 → 78 455

eval28.0s (6.5%)

Memory: 619.2MiB live, 34 229.4MiB allocated
Compiler: Compiled 7 452 649 to 445 666 computations (94% saved)

explain26.1s (6.1%)

Memory

-249.0MiB live, 20 379.6MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	744	6
`sqrt.f64`	`#f`	oflow-rescue	708	0
`/.f64`	`#f`	o/o	655	0
`+.f64`	`#f`	cancellation	209	0
`/.f64`	`#f`	o/n	197	0
`-.f64`	`#f`	nan-rescue	140	0
`/.f64`	`#f`	n/o	88	0
`/.f64`	`(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 #s(literal 2 binary64) i) (.f64 #s(literal 2 binary64) i)))`	u/u	74	0
↳	`(.f64 (.f64 i i) (*.f64 i i))`	underflow	102
↳	`(*.f64 i i)`	underflow	148
↳	`(.f64 (.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))`	underflow	74
`*.f64`	(.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1049934947/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 106015151/2500000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 36322091/5000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 2532017/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1789971/10000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 7715471019/10000000000 binary64) (.f64 x x))) (.f64 #s(literal 2909738639/10000000000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 694555761/10000000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 70002721/5000000000 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 #s(literal 1665589/2000000000 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)))) (.f64 (.f64 #s(literal 2 binary64) #s(literal 1789971/10000000000 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x)) (.f64 x x))))) x)	*nu**	65	0
`+.f64`	`#f`	nan-rescue	50	0
`sqrt.f64`	`#f`	uflow-rescue	41	0
`/.f64`	`#f`	u/n	34	0
`*.f64`	`#f`	*no**	30	0
`/.f64`	`#f`	n/u	7	0
`exp.f64`	`#f`	sensitivity	4	0
`sin.f64`	`(sin.f64 (*.f64 (PI.f64) z))`	sensitivity	1	1
`*.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**	1	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	1
↳	`(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	1
↳	`(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	1

Confusion

	Predicted +	Predicted -
+	2570	144
-	57	9005

Precision

0.9783022459078797

Recall

0.9469417833456153

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2570	2	142
-	57	4	9001

Precision?

0.97683251044436

Recall?

0.9476787030213707

Freqs

test

number	freq
0	9149
1	2206
2	421

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	1
-	3	0	13

Precision?

0.90625

Recall?

0.9666666666666667

Samples

3.0s	21 400×	0	valid
822.0ms	1 394×	1	valid
516.0ms	688×	2	valid
29.0ms	70×	3	valid

Compiler

Compiled 23 034 to 5 217 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-mult: 831.0ms (27.5% of total)

ival-add: 382.0ms (12.6% of total)

ival-div: 377.0ms (12.5% of total)

const: 234.0ms (7.7% of total)

ival-sub: 183.0ms (6.1% of total)

adjust: 152.0ms (5% of total)

ival-exp: 141.0ms (4.7% of total)

ival-pow: 126.0ms (4.2% of total)

ival-asin: 112.0ms (3.7% of total)

ival-hypot: 105.0ms (3.5% of total)

ival-sqrt: 93.0ms (3.1% of total)

ival-cos: 60.0ms (2% of total)

ival-sin: 59.0ms (2% of total)

ival-log: 57.0ms (1.9% of total)

ival-pi: 23.0ms (0.8% of total)

ival-true: 23.0ms (0.8% of total)

exact: 18.0ms (0.6% of total)

ival-fabs: 12.0ms (0.4% of total)

ival-neg: 12.0ms (0.4% of total)

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

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

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

localize25.6s (6%)

Memory

-63.7MiB live, 29 879.9MiB allocated

Samples

11.3s	36 422×	0	valid
3.8s	2 942×	1	valid
2.4s	1 403×	2	valid
415.0ms	283×	5	exit
197.0ms	560×	0	invalid
122.0ms	118×	3	valid

Compiler

Compiled 136 795 to 11 416 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.8s

ival-mult: 3.6s (28.4% of total)

ival-add: 2.1s (16.1% of total)

ival-div: 1.5s (11.4% of total)

const: 1.0s (7.9% of total)

adjust: 860.0ms (6.7% of total)

ival-sub: 732.0ms (5.7% of total)

ival-pow: 563.0ms (4.4% of total)

ival-exp: 474.0ms (3.7% of total)

ival-hypot: 340.0ms (2.6% of total)

ival-sqrt: 305.0ms (2.4% of total)

ival-acos: 202.0ms (1.6% of total)

ival-asin: 192.0ms (1.5% of total)

ival-log: 165.0ms (1.3% of total)

ival-neg: 160.0ms (1.2% of total)

ival-cos: 156.0ms (1.2% of total)

ival-sin: 122.0ms (0.9% of total)

ival-pow2: 82.0ms (0.6% of total)

exact: 69.0ms (0.5% of total)

ival-cosh: 36.0ms (0.3% of total)

ival-pi: 36.0ms (0.3% of total)

ival-true: 36.0ms (0.3% of total)

ival-cosu: 35.0ms (0.3% of total)

ival-assert: 34.0ms (0.3% of total)

ival-fabs: 33.0ms (0.3% of total)

ival-sinu: 15.0ms (0.1% of total)

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

regimes16.4s (3.8%)

Memory

44.1MiB live, 15 222.4MiB allocated

Counts

7 803 → 841

Calls

116 calls:

4.9s	re
777.0ms	im
546.0ms	x
351.0ms	(sin.f64 re)
335.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Compiler

Compiled 13 760 to 9 094 computations (33.9% saved)

preprocess13.7s (3.2%)

Memory

618.8MiB live, 10 358.3MiB allocated

Algorithm

46×	egg-herbie

Stop Event

92×	iter limit
60×	saturated
32×	node limit

Compiler

Compiled 92 566 to 15 235 computations (83.5% saved)

series7.0s (1.6%)

Memory

-127.4MiB live, 8 051.2MiB allocated

Counts

2 291 → 12 005

Calls

987 calls:

Time	Variable		Point	Expression
401.0ms	x	@	0	((+ (* (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (pow (exp x) x)) (/ (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (pow (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (pow (exp x) x)) (/ (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) -2)) (neg (* (pow (/ (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (/ (+ (pow (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 3) -3068549660061560529467443683/1000000000000000000000000000) (- (+ (pow (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 2) 2111650813574208729/1000000000000000000) (* (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000))) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) x)) 3) (/ (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (pow (exp x) x)) (/ (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (pow (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (pow (exp x) x)) (/ (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) 2))))) (/ (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (pow (exp x) x)) (/ (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (pow (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (pow (exp x) x)) (/ (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) 2)) (- (+ (pow (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 2) 2111650813574208729/1000000000000000000) (* (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000)) (* (pow (/ (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (/ (+ (pow (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 3) -3068549660061560529467443683/1000000000000000000000000000) (- (+ (pow (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) 2) 2111650813574208729/1000000000000000000) (* (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000))) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)) (pow (exp x) x)) 3) (/ (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (pow (exp x) x)) (/ (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) (pow (+ (* (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1))) (pow (exp x) x)) (/ (+ (* (/ (pow (exp x) (neg x)) (+ (* 3275911/10000000 (fabs x)) 1)) (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* 3275911/10000000 (fabs x)) 1)) -1453152027/1000000000) (+ (* 3275911/10000000 (fabs x)) 1)) 1421413741/1000000000) (+ (* 3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) 2))) (- 1 (* (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (+ (* (/ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (- 1 (* 10731592879921/100000000000000 (* x x)))) (/ 1 (pow (- 1 (* (fabs x) 3275911/10000000)) -1))) (/ -8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1))))) (exp (neg (* x x))))) (* (/ 1 (+ 1 (* 3275911/10000000 (fabs x)))) (+ 31853699/125000000 (+ (* (/ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) (- 1 (* 10731592879921/100000000000000 (* x x)))) (/ 1 (pow (- 1 (* (fabs x) 3275911/10000000)) -1))) (/ 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1)) -8890523/31250000) (+ (* (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) (+ (* (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)) -8890523/31250000) (+ (* (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) 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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) (neg (+ (* (fabs x) 3275911/10000000) 1))) (pow (exp x) x)) (* (/ (/ (+ (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) 31853699/125000000) (neg (+ (* (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) (* (pow (exp x) x) (+ (* (fabs x) 3275911/10000000) 1))) 3)) 1) (+ (/ 1061405429/1000000000 (+ 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3275911/10000000 (fabs x)) 1))) (+ (* 3275911/10000000 (fabs x)) 1)))) 1) (+ (* 3275911/10000000 (fabs x)) 1))) 1) -2) (- 31853699/125000000 (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1))) (/ 8890523/31250000 (+ (* (fabs x) 3275911/10000000) 1)) (+ (/ (+ (* (/ 1061405429/1000000000 (+ (* (* x x) 10731592879921/100000000000000) -1)) (+ (* 3275911/10000000 (fabs x)) -1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (/ (+ (/ (+ (/ (+ (* (/ 1061405429/1000000000 (+ (* (* x x) 10731592879921/100000000000000) -1)) (+ (* 3275911/10000000 (fabs x)) -1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) (/ (+ (/ (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) -8890523/31250000) (+ (* (fabs x) 3275911/10000000) 1)) (+ (* (fabs x) 3275911/10000000) 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) (+ (/ (+ (/ 1061405429/1000000000 (+ (* (fabs x) 3275911/10000000) 1)) -1453152027/1000000000) (+ (* (fabs x) 3275911/10000000) 1)) 1421413741/1000000000))
117.0ms	x	@	-inf	((- (log x) (log (log x))) (log x) (log (log x)))
112.0ms	x	@	-inf	((log (/ x (log x))) (/ x (log x)) (log x))

prune6.8s (1.6%)

Memory: -338.5MiB live, 11 496.0MiB allocated
Counts: 104 285 → 2 457
Compiler: Compiled 255 844 to 101 696 computations (60.3% saved)

bsearch3.6s (0.8%)

Memory

88.8MiB live, 2 786.8MiB allocated

Algorithm

239×	left-value
193×	binary-search

Stop Event

182×	narrow-enough
11×	predicate-same

Samples

2.2s	12 062×	0	valid
21.0ms	109×	2	valid
17.0ms	104×	1	valid
12.0ms	45×	3	valid

Compiler

Compiled 101 778 to 60 527 computations (40.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 755.0ms (47.3% of total)

ival-add: 228.0ms (14.3% of total)

ival-sub: 209.0ms (13.1% of total)

ival-div: 183.0ms (11.5% of total)

const: 100.0ms (6.3% of total)

ival-hypot: 31.0ms (1.9% of total)

ival-cos: 30.0ms (1.9% of total)

ival-exp: 14.0ms (0.9% of total)

ival-sqrt: 12.0ms (0.8% of total)

ival-sin: 10.0ms (0.6% of total)

ival-true: 9.0ms (0.6% of total)

adjust: 5.0ms (0.3% of total)

ival-assert: 5.0ms (0.3% of total)

exact: 4.0ms (0.3% of total)

analyze2.8s (0.7%)

Memory

40.7MiB live, 2 834.4MiB 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, 4.7MiB allocated

end0.0ms (0%)

Memory: 0.9MiB live, 0.8MiB allocated

soundness1.7min (24%)

sample1.5min (21.6%)

simplify1.1min (15.6%)

rewrite36.1s (8.4%)

eval28.0s (6.5%)

explain26.1s (6.1%)

localize25.6s (6%)

regimes16.4s (3.8%)

preprocess13.7s (3.2%)

series7.0s (1.6%)

prune6.8s (1.6%)

bsearch3.6s (0.8%)

analyze2.8s (0.7%)

start2.0ms (0%)

end0.0ms (0%)

Profiling