Metrics for Herbie run

Date:	Tuesday, November 12th, 2024
Commit:	92872657 on zane-true-error
Hostname:	nightly with Racket 8.10
Seed:	2024317
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

sample1.2min (23.9%)

Memory

747.8MiB live, 68 900.6MiB allocated

Samples

33.3s	285 633×	0	valid
12.6s	43 746×	1	valid
6.6s	16 959×	2	valid
735.0ms	4 260×	0	invalid
169.0ms	414×	3	valid
138.0ms	951×	0	exit
93.0ms	101×	3	exit
93.0ms	101×	4	exit
5.0ms	40×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 40.7s

ival-mult: 9.6s (23.7% of total)

ival-div: 4.8s (11.7% of total)

ival-add: 4.4s (10.9% of total)

const: 3.7s (9.2% of total)

ival-sub: 3.1s (7.7% of total)

ival-pow: 2.8s (6.9% of total)

ival-<=: 2.6s (6.4% of total)

adjust: 2.2s (5.5% of total)

ival-sin: 2.0s (4.9% of total)

ival-cos: 1.6s (3.8% of total)

ival-exp: 645.0ms (1.6% of total)

ival-sqrt: 460.0ms (1.1% of total)

exact: 447.0ms (1.1% of total)

ival-neg: 366.0ms (0.9% of total)

ival-and: 351.0ms (0.9% of total)

ival-pow2: 257.0ms (0.6% of total)

ival-==: 233.0ms (0.6% of total)

ival-<: 191.0ms (0.5% of total)

ival-assert: 143.0ms (0.4% of total)

ival-true: 143.0ms (0.4% of total)

ival-atan: 137.0ms (0.3% of total)

ival-expm1: 94.0ms (0.2% of total)

ival-log1p: 85.0ms (0.2% of total)

ival-tan: 54.0ms (0.1% of total)

ival-pi: 48.0ms (0.1% of total)

ival-fabs: 43.0ms (0.1% of total)

ival-hypot: 17.0ms (0% of total)

ival-if: 4.0ms (0% of total)

Bogosity

simplify55.4s (18%)

Memory

1 394.1MiB live, 40 840.6MiB allocated

Algorithm

336×	egg-herbie

Stop Event

427×	iter limit
250×	node limit
100×	saturated

Counts

10 025 → 9 884

soundness49.1s (16%)

Memory

-243.8MiB live, 20 836.1MiB allocated

Stop Event

240×	iter limit
158×	node limit
25×	fuel
17×	done
9×	saturated

Compiler

Compiled 38 455 to 11 876 computations (69.1% saved)

rewrite36.9s (12%)

Memory

-348.9MiB live, 33 120.3MiB allocated

Stop Event

289×	iter limit
141×	node limit
13×	saturated
1×	unsound

Counts

1 860 → 79 752

localize21.9s (7.1%)

Memory

-384.3MiB live, 21 741.7MiB allocated

Samples

7.6s	29 349×	0	valid
4.5s	5 184×	1	valid
4.0s	2 632×	2	valid
414.0ms	170×	3	valid
58.0ms	184×	0	exit
21.0ms	101×	0	invalid
12.0ms	4×	4	valid
11.0ms	5×	5	exit
1.0ms	3×	1	exit

Compiler

Compiled 70 135 to 8 546 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.5s

ival-mult: 3.5s (28.1% of total)

ival-div: 1.8s (14.2% of total)

ival-pow: 1.5s (12.2% of total)

ival-add: 1.4s (11.1% of total)

adjust: 972.0ms (7.8% of total)

const: 927.0ms (7.4% of total)

ival-sub: 656.0ms (5.3% of total)

ival-sin: 524.0ms (4.2% of total)

ival-tan: 300.0ms (2.4% of total)

ival-cos: 250.0ms (2% of total)

ival-exp: 154.0ms (1.2% of total)

ival-neg: 136.0ms (1.1% of total)

ival-sqrt: 132.0ms (1.1% of total)

ival-pow2: 77.0ms (0.6% of total)

exact: 58.0ms (0.5% of total)

ival-true: 31.0ms (0.2% of total)

ival-expm1: 17.0ms (0.1% of total)

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

ival-log1p: 12.0ms (0.1% of total)

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

ival-pi: 5.0ms (0% of total)

ival-log: 3.0ms (0% of total)

eval19.4s (6.3%)

Memory: 269.6MiB live, 21 567.9MiB allocated
Compiler: Compiled 3 783 589 to 328 358 computations (91.3% saved)

preprocess11.8s (3.9%)

Memory

256.2MiB live, 8 504.8MiB allocated

Algorithm

42×	egg-herbie

Stop Event

82×	iter limit
54×	saturated
32×	node limit

Compiler

Compiled 51 069 to 8 410 computations (83.5% saved)

explain11.2s (3.7%)

Memory

-518.7MiB live, 11 374.0MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	1323	0
`+.f64`	`#f`	cancellation	367	90
`-.f64`	(-.f64 (*.f64 #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) t) #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))	oflow-left	222	0
`sqrt.f64`	`#f`	oflow-rescue	206	0
`/.f64`	`#f`	o/o	173	0
`/.f64`	`#f`	n/o	169	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	164	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	126	0
`-.f64`	`#f`	nan-rescue	108	0
`/.f64`	`#f`	u/n	86	0
`/.f64`	`#f`	n/u	53	0
`*.f64`	`#f`	*nu**	53	0
`+.f64`	`#f`	nan-rescue	48	0
`/.f64`	`#f`	u/u	45	0
`/.f64`	`#f`	o/n	44	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	27	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	30
↳	`(/.f64 i n)`	overflow	27
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	27
`*.f64`	`#f`	*no**	23	0
`sqrt.f64`	`#f`	uflow-rescue	16	0

Confusion

	Predicted +	Predicted -
+	3905	223
-	122	6502

Precision

0.969704494661038

Recall

0.9459786821705426

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3905	160	63
-	122	186	6316

Precision?

0.9295678024239652

Recall?

0.9847383720930233

Freqs

test

number	freq
0	6725
1	3572
2	409
3	46

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	30	1	0
-	2	0	9

Precision?

0.9393939393939394

Recall?

1.0

Samples

2.6s	16 376×	0	valid
1.1s	3 720×	1	valid
525.0ms	1 370×	2	valid
23.0ms	38×	3	valid

Compiler

Compiled 10 840 to 1 926 computations (82.2% saved)

Precisions

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

ival-mult: 470.0ms (23.7% of total)

ival-div: 243.0ms (12.2% of total)

adjust: 232.0ms (11.7% of total)

ival-add: 231.0ms (11.6% of total)

ival-pow: 181.0ms (9.1% of total)

ival-sub: 179.0ms (9% of total)

ival-sin: 139.0ms (7% of total)

ival-cos: 68.0ms (3.4% of total)

ival-expm1: 51.0ms (2.6% of total)

const: 41.0ms (2.1% of total)

ival-exp: 30.0ms (1.5% of total)

ival-sqrt: 23.0ms (1.2% of total)

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

exact: 19.0ms (1% of total)

ival-neg: 18.0ms (0.9% of total)

ival-pow2: 14.0ms (0.7% of total)

ival-assert: 10.0ms (0.5% of total)

ival-log1p: 5.0ms (0.3% of total)

ival-tan: 4.0ms (0.2% of total)

ival-atan: 4.0ms (0.2% of total)

ival-pi: 2.0ms (0.1% of total)

series8.8s (2.9%)

Memory

-146.4MiB live, 4 336.5MiB allocated

Counts

1 860 → 10 025

Calls

858 calls:

Time	Variable		Point	Expression
275.0ms	t	@	0	((* (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 7/8) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8)) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 7/8) (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8) (- (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/ (sqrt (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2)) (sqrt (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2) (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8) 8) (* (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1) -1/2) (sqrt (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1) -1/2) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1))
101.0ms	b	@	inf	((* (+ a (+ b (+ c d))) 2) (* 2 b) (* (+ a (+ b (+ c d))) 2) (* 2 c) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ d c) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
93.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (+ eps x) x))
62.0ms	t	@	-inf	((* (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 7/8) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8)) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 7/8) (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8) (- (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/ (sqrt (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2)) (sqrt (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2) (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8) 8) (* (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1) -1/2) (sqrt (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1) -1/2) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1))
62.0ms	x2	@	0	((+ (+ (* (+ (* (+ (* 4 (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1))) -6) (* x1 x1)) (* (- (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (* (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (* x1 2)))) (+ (* x1 x1) 1)) (* (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (* (* 3 x1) x1))) (+ (* (/ (- (+ (* -2 x2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) x1)) (+ (* (+ (* 4 (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1))) -6) (* x1 x1)) (* (- (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (* (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (* x1 2)))) (+ (* (* x1 x1) x1) (+ (+ (* (+ (* (+ (* 4 (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1))) -6) (* x1 x1)) (* (- (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (* (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (* x1 2)))) (+ (* x1 x1) 1)) (* (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (* (* 3 x1) x1))) (+ (* (/ (- (+ (* -2 x2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) x1))) (+ x1 (+ (* (* x1 x1) x1) (+ (+ (* (+ (* (+ (* 4 (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1))) -6) (* x1 x1)) (* (- (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (* (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (* x1 2)))) (+ (* x1 x1) 1)) (* (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (* (* 3 x1) x1))) (+ (* (/ (- (+ (* -2 x2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) x1)))) (+ x1 (+ (+ (+ (+ (* (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) (+ (* x1 x1) 1)) (* (* (* 3 x1) x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* (* x1 x1) x1)) x1) (* 3 (/ (- (- (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))))) (+ (+ (+ (+ (* (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) (+ (* x1 x1) 1)) (* (* (* 3 x1) x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* (* x1 x1) x1)) x1) (* 3 (/ (- (- (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* -6 x2) (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (+ (* 2 x2) -3) 3) 1))) (+ (* (+ (* 2 x2) 3) 3) (+ (* 14 x2) (* (+ (* (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (+ (* 2 x2) -3) 3) 1))) 2) (+ (* (* (+ (* 2 x2) -3) 4) x2) -3)) x1))) (- (+ (* (+ (* -2 x2) (+ (* -2 x2) 3)) 2) (+ (* (+ (* 2 x2) 3) 3) (+ (* 14 x2) (* (+ (* (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (+ (* 2 x2) -3) 3) 1))) 2) (+ (* (* (+ (* 2 x2) -3) 4) x2) -3)) x1)))) 6) (+ (* -2 x2) (+ (* -2 x2) 3)) (+ (* (+ (* 2 x2) -3) 4) 9) (* -6 (+ (* 2 x2) -3)) (+ 1 (* -6 (+ (* 2 x2) -3))) (+ (+ (+ (+ (* (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) (+ (* x1 x1) 1)) (* (* (* 3 x1) x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* (* x1 x1) x1)) x1) (* 3 (/ (- (- (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (+ (* (/ (* (- (+ (* x2 2) (* (* 3 x1) x1)) x1) 3) (+ (* x1 x1) 1)) (* x1 x1)) (pow x1 3)) (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (* (- (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (* (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (* x1 2))) (- (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (/ (- (+ (* -2 x2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (+ (+ (+ (+ (* (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) (+ (* x1 x1) 1)) (* (* (* 3 x1) x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* (* x1 x1) x1)) x1) (* 3 (/ (- (- (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (+ (* (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (+ (* 2 x2) -3) 3) 1))) 2) (+ (* (* (+ (* 2 x2) -3) 4) x2) -3)) (+ (* (- (+ (* (+ (* -2 x2) (+ (* -2 x2) 3)) 2) (+ (* (+ (* 2 x2) 3) 3) (+ (* 14 x2) (* (+ (* (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (+ (* 2 x2) -3) 3) 1))) 2) (+ (* (* (+ (* 2 x2) -3) 4) x2) -3)) x1)))) 6) x1) (+ (* (* (+ (* 2 x2) -3) x2) 4) -2)) (* (+ (* (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (* (+ (* -2 x2) 3) 2) x2) (+ (* (+ (* 2 x2) -3) 3) 1))) 2) (+ (* (* (+ (* 2 x2) -3) 4) x2) -3)) x1) (+ (+ (* (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) (+ (* x1 x1) 1)) (* (* (* 3 x1) x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* (* x1 x1) x1)) (* (- 6 (/ (- 3 (/ (- (+ (* (+ (* 2 x2) -3) 4) 9) (/ (+ 1 (* -6 (+ (* 2 x2) -3))) x1)) x1)) x1)) (pow x1 4)) (/ (- (- (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (* (* 3 x1) x1) (/ (* (- (+ (* x2 2) (* (* 3 x1) x1)) x1) 3) (+ (* x1 x1) 1)))

regimes6.6s (2.1%)

Memory

-57.1MiB live, 7 655.9MiB allocated

Counts

4 396 → 517

Calls

96 calls:

881.0ms	x
427.0ms	b
351.0ms	c
316.0ms	(*.f64 w w)
241.0ms	a

Compiler

Compiled 7 836 to 5 311 computations (32.2% saved)

prune5.8s (1.9%)

Memory: -301.5MiB live, 7 920.1MiB allocated
Counts: 90 604 → 1 942
Compiler: Compiled 143 599 to 62 626 computations (56.4% saved)

analyze4.0s (1.3%)

Memory

100.4MiB live, 4 159.2MiB allocated

Algorithm

43×	search
2×	random

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	54.5%	45.5%	0%	0%	0%	0
21.4%	11.7%	42.9%	45.5%	0%	0%	0%	1
37.4%	20.4%	34.1%	45.5%	0%	0%	0%	2
48.7%	26.2%	27.7%	45.5%	0%	0.6%	0%	3
57.7%	30.7%	22.6%	45.5%	0%	1.2%	0%	4
71.2%	37.7%	15.3%	45.5%	0%	1.6%	0%	5
72.9%	38.4%	14.3%	45.5%	0%	1.8%	0%	6
77.9%	40.7%	11.6%	45.5%	0%	2.2%	0%	7
81.5%	42.6%	9.7%	45.5%	0%	2.3%	0%	8
84.1%	43.8%	8.3%	45.5%	0%	2.5%	0%	9
86.2%	44.6%	7.2%	45.5%	0%	2.7%	0%	10
88.2%	45.6%	6.1%	45.5%	0%	2.8%	0%	11
89.1%	45.9%	5.6%	45.5%	0%	2.9%	0%	12

Compiler

Compiled 1 402 to 721 computations (48.6% saved)

bsearch2.4s (0.8%)

Memory

58.6MiB live, 2 884.6MiB allocated

Algorithm

182×	binary-search
63×	left-value

Stop Event

176×	narrow-enough
5×	predicate-same
1×	predicate-failed

Samples

1.0s	9 161×	0	valid
180.0ms	764×	1	valid
86.0ms	282×	2	valid
49.0ms	740×	0	invalid
14.0ms	120×	0	exit
11.0ms	17×	3	valid

Compiler

Compiled 129 728 to 69 381 computations (46.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 979.0ms

ival-mult: 293.0ms (29.9% of total)

ival-div: 192.0ms (19.6% of total)

ival-add: 140.0ms (14.3% of total)

ival-sub: 105.0ms (10.7% of total)

ival-pow: 86.0ms (8.8% of total)

ival-exp: 39.0ms (4% of total)

ival-sqrt: 31.0ms (3.2% of total)

adjust: 30.0ms (3.1% of total)

ival-neg: 30.0ms (3.1% of total)

exact: 9.0ms (0.9% of total)

ival-true: 8.0ms (0.8% of total)

ival-expm1: 7.0ms (0.7% of total)

ival-assert: 5.0ms (0.5% of total)

ival-pi: 3.0ms (0.3% of total)

start2.0ms (0%)

Memory: 4.0MiB live, 4.0MiB allocated

end0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated

sample1.2min (23.9%)

simplify55.4s (18%)

soundness49.1s (16%)

rewrite36.9s (12%)

localize21.9s (7.1%)

eval19.4s (6.3%)

preprocess11.8s (3.9%)

explain11.2s (3.7%)

series8.8s (2.9%)

regimes6.6s (2.1%)

prune5.8s (1.9%)

analyze4.0s (1.3%)

bsearch2.4s (0.8%)

start2.0ms (0%)

end0.0ms (0%)

Profiling