Metrics for Herbie run

Date:	Wednesday, October 2nd, 2024
Commit:	e7d6e0c5 on bhargav-log-space
Hostname:	nightly with Racket 8.10
Seed:	2024276
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

sample1.2min (32.6%)

Memory

177.8MiB live, 77 860.5MiB allocated

Samples

30.9s	285 401×	0	valid
12.3s	43 836×	1	valid
7.0s	17 100×	2	valid
678.0ms	4 356×	0	invalid
454.0ms	931×	0	exit
279.0ms	415×	3	valid
113.0ms	101×	3	exit
70.0ms	101×	4	exit
6.0ms	48×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 39.4s

ival-mult: 8.7s (22% of total)

ival-add: 4.3s (10.8% of total)

ival-div: 4.1s (10.3% of total)

ival-sub: 3.5s (9% of total)

const: 3.3s (8.3% of total)

ival-pow: 2.7s (6.9% of total)

ival-<=: 2.7s (6.8% of total)

adjust: 2.5s (6.4% of total)

ival-sin: 1.9s (4.9% of total)

ival-cos: 1.3s (3.4% of total)

ival-exp: 773.0ms (2% of total)

ival-sqrt: 729.0ms (1.9% of total)

ival-==: 471.0ms (1.2% of total)

exact: 465.0ms (1.2% of total)

ival-neg: 445.0ms (1.1% of total)

ival-and: 373.0ms (0.9% of total)

ival-pow2: 256.0ms (0.7% of total)

ival-true: 153.0ms (0.4% of total)

ival-assert: 147.0ms (0.4% of total)

ival-<: 127.0ms (0.3% of total)

ival-atan: 109.0ms (0.3% of total)

ival-log1p: 92.0ms (0.2% of total)

ival-tan: 74.0ms (0.2% of total)

ival-expm1: 65.0ms (0.2% of total)

ival-pi: 39.0ms (0.1% of total)

ival-hypot: 18.0ms (0% of total)

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

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

Bogosity

simplify29.8s (13.9%)

Memory

695.4MiB live, 27 867.9MiB allocated

Algorithm

204×	egg-herbie

Stop Event

262×	iter limit
134×	node limit
75×	saturated

Counts

21 576 → 20 710

soundness26.2s (12.2%)

Memory

-469.7MiB live, 12 408.0MiB allocated

Stop Event

138×	iter limit
93×	node limit
15×	fuel
11×	done
4×	saturated

Compiler

Compiled 8 906 to 4 102 computations (53.9% saved)

rewrite20.2s (9.4%)

Memory

46.2MiB live, 20 924.6MiB allocated

Stop Event

176×	iter limit
87×	node limit
5×	saturated

Counts

1 110 → 58 515

eval19.8s (9.3%)

Memory: 331.0MiB live, 25 716.7MiB allocated
Compiler: Compiled 3 028 097 to 242 565 computations (92% saved)

localize12.7s (5.9%)

Memory

-344.0MiB live, 14 100.8MiB allocated

Samples

4.9s	17 512×	0	valid
2.4s	2 120×	2	valid
2.3s	2 986×	1	valid
142.0ms	100×	3	valid
30.0ms	48×	1	exit
8.0ms	13×	2	exit
8.0ms	3×	5	exit
6.0ms	2×	4	valid

Compiler

Compiled 41 782 to 4 331 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.2s

ival-mult: 2.5s (34.3% of total)

ival-div: 1.0s (14.2% of total)

ival-add: 936.0ms (13% of total)

adjust: 860.0ms (11.9% of total)

const: 550.0ms (7.6% of total)

ival-sub: 334.0ms (4.6% of total)

ival-pow: 330.0ms (4.6% of total)

ival-sin: 184.0ms (2.6% of total)

ival-cos: 170.0ms (2.4% of total)

ival-sqrt: 111.0ms (1.5% of total)

ival-neg: 109.0ms (1.5% of total)

exact: 37.0ms (0.5% of total)

ival-exp: 31.0ms (0.4% of total)

ival-true: 20.0ms (0.3% of total)

ival-log1p: 15.0ms (0.2% of total)

ival-assert: 10.0ms (0.1% of total)

ival-tan: 7.0ms (0.1% of total)

ival-pi: 4.0ms (0.1% of total)

ival-pow2: 2.0ms (0% of total)

explain9.1s (4.2%)

Memory

-162.9MiB live, 10 977.7MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	968	0
`+.f64`	`#f`	cancellation	392	83
`sqrt.f64`	`#f`	oflow-rescue	214	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	174	0
`+.f64`	`#f`	nan-rescue	150	0
`/.f64`	`#f`	n/o	78	0
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	42	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	42
↳	`(*.f64 y y)`	overflow	42
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	42
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	37	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	37
↳	`(*.f64 y y)`	underflow	79
↳	`(*.f64 x x)`	underflow	114
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	37
`*.f64`	`(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))`	*nu**	36	0
`sqrt.f64`	`#f`	uflow-rescue	10	0
`*.f64`	`#f`	*no**	2	0

Confusion

	Predicted +	Predicted -
+	1630	445
-	323	4258

Precision

0.8346134152585766

Recall

0.7855421686746988

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1630	162	283
-	323	177	4081

Precision?

0.7818499127399651

Recall?

0.8636144578313253

Freqs

test

number	freq
0	4703
1	1804
2	148
3	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	1	2
-	0	0	9

Precision?

1.0

Recall?

0.8823529411764706

Samples

1.1s	10 530×	0	valid
591.0ms	1 653×	1	valid
468.0ms	1 184×	2	valid
18.0ms	34×	3	valid

Compiler

Compiled 12 941 to 4 707 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 279.0ms (19% of total)

ival-div: 193.0ms (13.1% of total)

adjust: 187.0ms (12.7% of total)

ival-exp: 182.0ms (12.4% of total)

ival-sub: 152.0ms (10.3% of total)

ival-add: 128.0ms (8.7% of total)

ival-sin: 122.0ms (8.3% of total)

ival-cos: 119.0ms (8.1% of total)

const: 43.0ms (2.9% of total)

ival-sqrt: 18.0ms (1.2% of total)

ival-true: 13.0ms (0.9% of total)

exact: 9.0ms (0.6% of total)

ival-log1p: 7.0ms (0.5% of total)

ival-assert: 6.0ms (0.4% of total)

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

ival-tan: 4.0ms (0.3% of total)

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

ival-expm1: 0.0ms (0% of total)

preprocess7.6s (3.5%)

Memory

337.9MiB live, 6 645.8MiB allocated

Algorithm

26×	egg-herbie

Stop Event

51×	iter limit
32×	saturated
21×	node limit

Compiler

Compiled 12 121 to 4 372 computations (63.9% saved)

prune5.7s (2.7%)

Memory: 27.0MiB live, 9 644.9MiB allocated
Counts: 97 112 → 1 251
Compiler: Compiled 52 655 to 26 547 computations (49.6% saved)

regimes4.9s (2.3%)

Memory

-132.2MiB live, 4 906.0MiB allocated

Counts

2 594 → 274

Calls

61 calls:

884.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
359.0ms	x1
357.0ms	x
284.0ms	b
209.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))

Compiler

Compiled 4 954 to 2 951 computations (40.4% saved)

analyze3.7s (1.7%)

Memory

188.2MiB live, 4 892.4MiB 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)

series3.3s (1.6%)

Memory

-207.8MiB live, 3 859.3MiB allocated

Counts

1 110 → 21 576

Calls

456 calls:

Time	Variable		Point	Expression
145.0ms	t	@	inf	((+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (- (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (- (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/ 1 (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1)) (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1) (* (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1) -1/2) (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1) -1/2)) (pow (pow (+ (* t 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1) -1/2))
126.0ms	t	@	0	((* (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 7/8) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8)) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 7/8) (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8) (/ 1 (/ 1 (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (/ 1 (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (pow (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2) -2) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2) (pow (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/4) 4) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/4) (/ (/ -1 (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2)) (neg (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2))) (/ -1 (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2)))
78.0ms	x	@	0	((/ (* x 1) 2) (* x 1) (* (cos x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2)))) (cos x) (* (cos x) (pow (pow (exp 10) x) x)) (pow (pow (exp 10) x) x) (* (cos x) (pow (exp 10) (* x x))) (pow (exp 10) (* x x)) (exp 10) (* (cos x) (pow (pow (exp x) 5) (* 2 x))) (pow (pow (exp x) 5) (* 2 x)) (pow (exp x) 5) (* (cos x) (pow (pow (exp 10) (sqrt x)) (pow x 3/2))) (pow (pow (exp 10) (sqrt x)) (pow x 3/2)) (pow (exp 10) (sqrt x)) (pow (exp 10) x) (* (pow (pow (exp 10) x) (/ (* x 1) 2)) (pow (pow (exp 10) x) (/ (* x 1) 2))) (pow (pow (exp 10) x) (/ (* x 1) 2)))
69.0ms	t	@	inf	((* (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 7/8) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8)) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 7/8) (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/8) (/ 1 (/ 1 (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))) (/ 1 (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) (pow (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2) -2) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2) (pow (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/4) 4) (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/4) (/ (/ -1 (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2)) (neg (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2))) (/ -1 (pow (+ (* 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 t) -170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) -1/2)))
63.0ms	x1	@	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) (+ (* 14 x2) -6)) (+ (* (* x2 4) (+ (* 2 x2) -3)) (* (+ (* -4 x2) (+ (* (+ (* -2 x2) 3) 2) (+ (* 14 x2) -6))) 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)))) (- (- (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* (+ (* 2 x2) -3) 4) 9) (* -6 (+ (* 2 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)) 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)))) (+ (+ (* (/ (- (+ (* -2 x2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (+ (* (+ (* (+ (* 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) 3) (+ (* x1 x1) 1)) (* x1 x1)) (pow x1 3)))) x1) (+ (* (/ (* (- (+ (* x2 2) (* (* 3 x1) x1)) x1) 3) (+ (* x1 x1) 1)) (* x1 x1)) (pow x1 3)) (+ x1 (+ (+ (* (/ (- (+ (* -2 x2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (+ (* (+ (* (+ (* 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) 3) (+ (* x1 x1) 1)) (* x1 x1)) (pow x1 3)))) x1)) (- (/ (- (+ (* x2 2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) 3) (/ (- (+ (* -2 x2) (* (* 3 x1) x1)) x1) (+ (* x1 x1) 1)) (/ (- (+ (* x2 2) (* (* 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)) (/ (- (- (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) (* (+ (* (* x2 4) (+ (* 2 x2) -3)) (* (+ (* -4 x2) (+ (* (+ (* -2 x2) 3) 2) (+ (* 14 x2) -6))) x1)) x1) (* (- 6 (/ (- 3 (/ (- (+ (* (+ (* 2 x2) -3) 4) 9) (/ (* -6 (+ (* 2 x2) -3)) x1)) x1)) x1)) (pow x1 4)) (/ (* -6 (+ (* 2 x2) -3)) x1) (/ (- 3 (/ (- (+ (* (+ (* 2 x2) -3) 4) 9) (/ (* -6 (+ (* 2 x2) -3)) x1)) x1)) x1) (/ (* (- (+ (* x2 2) (* (* 3 x1) x1)) x1) 3) (+ (* x1 x1) 1)))

bsearch1.5s (0.7%)

Memory

-65.8MiB live, 1 340.4MiB allocated

Algorithm

65×	binary-search
40×	left-value

Stop Event

61×	narrow-enough
3×	predicate-same
1×	predicate-failed

Samples

674.0ms	4 097×	0	valid
91.0ms	598×	0	invalid
31.0ms	106×	1	valid
21.0ms	85×	2	valid

Compiler

Compiled 20 418 to 14 561 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 611.0ms

ival-mult: 321.0ms (52.6% of total)

ival-add: 76.0ms (12.4% of total)

ival-sub: 65.0ms (10.6% of total)

ival-div: 50.0ms (8.2% of total)

ival-pi: 49.0ms (8% of total)

ival-sqrt: 19.0ms (3.1% of total)

ival-neg: 14.0ms (2.3% of total)

exact: 6.0ms (1% of total)

adjust: 5.0ms (0.8% of total)

ival-true: 4.0ms (0.7% of total)

ival-assert: 2.0ms (0.3% of total)

start2.0ms (0%)

Memory: 4.0MiB live, 3.8MiB allocated

end0.0ms (0%)

Memory: 0.6MiB live, 0.5MiB allocated

sample1.2min (32.6%)

simplify29.8s (13.9%)

soundness26.2s (12.2%)

rewrite20.2s (9.4%)

eval19.8s (9.3%)

localize12.7s (5.9%)

explain9.1s (4.2%)

preprocess7.6s (3.5%)

prune5.7s (2.7%)

regimes4.9s (2.3%)

analyze3.7s (1.7%)

series3.3s (1.6%)

bsearch1.5s (0.7%)

start2.0ms (0%)

end0.0ms (0%)

Profiling