Metrics for Herbie run

Date:	Wednesday, October 2nd, 2024
Commit:	913204d2 on artem-batch-finish-rewrite
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 (22.8%)

Memory

127.8MiB live, 77 759.6MiB allocated

Samples

32.7s	285 401×	0	valid
12.1s	43 836×	1	valid
7.5s	17 100×	2	valid
400.0ms	4 356×	0	invalid
156.0ms	415×	3	valid
126.0ms	931×	0	exit
63.0ms	101×	3	exit
58.0ms	101×	4	exit
11.0ms	48×	1	exit

Precisions

Click to see histograms. Total time spent on operations: 39.2s

ival-mult: 9.2s (23.4% of total)

ival-add: 4.1s (10.4% of total)

ival-div: 3.9s (10% of total)

ival-pow: 3.8s (9.6% of total)

const: 3.1s (7.9% of total)

ival-sub: 3.0s (7.8% of total)

adjust: 2.5s (6.5% of total)

ival-<=: 2.4s (6.1% of total)

ival-sin: 2.1s (5.5% of total)

ival-cos: 1.6s (4.2% of total)

ival-exp: 498.0ms (1.3% of total)

exact: 439.0ms (1.1% of total)

ival-neg: 434.0ms (1.1% of total)

ival-sqrt: 403.0ms (1% of total)

ival-and: 367.0ms (0.9% of total)

ival-pow2: 240.0ms (0.6% of total)

ival-==: 217.0ms (0.6% of total)

ival-true: 145.0ms (0.4% of total)

ival-assert: 144.0ms (0.4% of total)

ival-expm1: 93.0ms (0.2% of total)

ival-tan: 84.0ms (0.2% of total)

ival-log1p: 84.0ms (0.2% of total)

ival-atan: 77.0ms (0.2% of total)

ival-<: 61.0ms (0.2% of total)

ival-pi: 52.0ms (0.1% of total)

ival-hypot: 19.0ms (0% of total)

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

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

Bogosity

simplify53.8s (17.1%)

Memory

106.5MiB live, 46 097.6MiB allocated

Algorithm

326×	egg-herbie

Stop Event

427×	iter limit
222×	node limit
106×	saturated

Counts

39 840 → 38 779

soundness43.1s (13.7%)

Memory

-32.6MiB live, 25 214.6MiB allocated

Stop Event

249×	iter limit
168×	node limit
25×	fuel
15×	done
3×	saturated

Compiler

Compiled 36 528 to 11 304 computations (69.1% saved)

rewrite36.3s (11.5%)

Memory

9.9MiB live, 34 705.0MiB allocated

Stop Event

286×	iter limit
143×	node limit
1×	saturated

Counts

1 882 → 89 775

eval32.6s (10.4%)

Memory: 820.0MiB live, 41 118.6MiB allocated
Compiler: Compiled 6 252 680 to 370 461 computations (94.1% saved)

localize21.7s (6.9%)

Memory

-286.7MiB live, 23 461.0MiB allocated

Samples

8.7s	28 817×	0	valid
3.8s	4 876×	1	valid
3.4s	2 499×	2	valid
249.0ms	128×	3	valid
62.0ms	175×	0	exit
34.0ms	39×	0	invalid
28.0ms	7×	5	exit
22.0ms	52×	1	exit
9.0ms	13×	2	exit
6.0ms	2×	4	valid

Compiler

Compiled 73 077 to 8 534 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.3s

ival-mult: 4.0s (32.2% of total)

ival-add: 1.6s (12.7% of total)

ival-div: 1.5s (12% of total)

const: 1.1s (8.7% of total)

ival-pow: 1.1s (8.6% of total)

adjust: 994.0ms (8.1% of total)

ival-sub: 932.0ms (7.6% of total)

ival-sin: 384.0ms (3.1% of total)

ival-cos: 217.0ms (1.8% of total)

ival-sqrt: 154.0ms (1.3% of total)

ival-neg: 130.0ms (1.1% of total)

ival-exp: 116.0ms (0.9% of total)

ival-log1p: 57.0ms (0.5% of total)

exact: 57.0ms (0.5% of total)

ival-pow2: 41.0ms (0.3% of total)

ival-true: 31.0ms (0.3% of total)

ival-expm1: 30.0ms (0.2% of total)

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

ival-atan: 9.0ms (0.1% of total)

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

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

preprocess12.2s (3.9%)

Memory

609.2MiB live, 10 318.1MiB allocated

Algorithm

42×	egg-herbie

Stop Event

82×	iter limit
54×	saturated
32×	node limit

Compiler

Compiled 54 497 to 9 818 computations (82% saved)

explain11.1s (3.5%)

Memory

-278.7MiB live, 12 236.1MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	1350	0
`+.f64`	`#f`	cancellation	367	83
`-.f64`	(-.f64 (*.f64 #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) t) #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))	oflow-left	220	0
`sqrt.f64`	`#f`	oflow-rescue	214	0
`/.f64`	`#f`	n/o	178	0
`/.f64`	`#f`	o/o	175	0
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	174	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	sensitivity	123	0
`-.f64`	`#f`	nan-rescue	115	0
`/.f64`	`#f`	u/n	85	0
`/.f64`	`#f`	n/u	59	0
`/.f64`	`#f`	u/u	50	0
`/.f64`	`#f`	o/n	48	0
`*.f64`	`#f`	*nu**	42	0
`+.f64`	`#f`	nan-rescue	33	0
`*.f64`	`#f`	*no**	29	0
`pow.f64`	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	oflow-rescue	18	0
↳	`(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)`	overflow	28
↳	`(/.f64 i n)`	overflow	18
↳	`(+.f64 #s(literal 1 binary64) (/.f64 i n))`	overflow	18
`sqrt.f64`	`#f`	uflow-rescue	10	0

Confusion

	Predicted +	Predicted -
+	3981	235
-	97	6439

Precision

0.976213830308975

Recall

0.9442599620493358

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3981	162	73
-	97	177	6262

Precision?

0.9379669458908761

Recall?

0.982685009487666

Freqs

test

number	freq
0	6674
1	3634
2	401
3	43

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	1	0
-	0	0	10

Precision?

1.0

Recall?

1.0

Samples

1.6s	16 332×	0	valid
1.4s	3 750×	1	valid
699.0ms	1 384×	2	valid
26.0ms	38×	3	valid

Compiler

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

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-mult: 623.0ms (24.9% of total)

ival-add: 354.0ms (14.1% of total)

ival-sub: 338.0ms (13.5% of total)

ival-div: 289.0ms (11.5% of total)

adjust: 238.0ms (9.5% of total)

ival-pow: 238.0ms (9.5% of total)

ival-sin: 130.0ms (5.2% of total)

ival-cos: 97.0ms (3.9% of total)

const: 44.0ms (1.8% of total)

ival-exp: 30.0ms (1.2% of total)

ival-sqrt: 22.0ms (0.9% of total)

ival-true: 20.0ms (0.8% of total)

exact: 19.0ms (0.8% of total)

ival-neg: 16.0ms (0.6% of total)

ival-pow2: 14.0ms (0.6% of total)

ival-assert: 10.0ms (0.4% of total)

ival-atan: 7.0ms (0.3% of total)

ival-log1p: 6.0ms (0.2% of total)

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

ival-expm1: 4.0ms (0.2% of total)

ival-pi: 3.0ms (0.1% of total)

prune10.5s (3.3%)

Memory: -115.1MiB live, 15 378.5MiB allocated
Counts: 152 326 → 1 998
Compiler: Compiled 160 875 to 66 824 computations (58.5% saved)

regimes7.3s (2.3%)

Memory

-315.1MiB live, 8 293.0MiB allocated

Counts

4 728 → 541

Calls

96 calls:

1.6s	x
305.0ms	b
259.0ms	x1
255.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 #s(literal 10 binary64) (*.f64 x x))))
242.0ms	a

Compiler

Compiled 7 386 to 5 102 computations (30.9% saved)

series6.2s (2%)

Memory

100.2MiB live, 7 482.8MiB allocated

Counts

1 882 → 39 840

Calls

849 calls:

Time	Variable		Point	Expression
300.0ms	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)))
148.0ms	b	@	-inf	((* (+ (* (neg b) c) (* a d)) (/ -1 (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (/ (+ (* (* b c) (+ (* d d) (* c c))) (* (neg (+ (* d d) (* c c))) (* a d))) (+ (* d d) (* c c))) (+ (* d d) (* c c))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c)) (/ (/ (+ (* (* b c) (+ (* d d) (* c c))) (* (neg (+ (* d d) (* c c))) (* a d))) (+ (* d d) (* c c))) (+ (* d d) (* c c))) (/ (- (/ (* b c) d) a) d) (- (/ (* b c) d) a) (/ (* b c) d) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)))
91.0ms	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)))
87.0ms	x	@	-inf	((* (cos x) (pow (pow (exp 20) x) (* 1/2 x))) (cos x) (pow (pow (exp 20) x) (* 1/2 x)) (pow (exp 20) x) (* (cos x) (pow (pow (exp 10) x) x)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (* (cos x) (pow (exp (* 5 x)) (* 2 x))) (pow (exp (* 5 x)) (* 2 x)) (* 5 x) (* (cos x) (sqrt (pow (pow (exp 20) x) x))) (sqrt (pow (pow (exp 20) x) x)) (pow (pow (exp 20) x) x) (* (pow (pow (exp x) x) 5) (* (pow (pow (exp x) x) 5) (cos x))) (pow (pow (exp x) x) 5) (pow (exp x) x) (exp x) (pow (pow (exp 10) x) x) (exp (* 5 x)) (* (pow (pow (exp x) x) 5) (cos x)))
48.0ms	x1	@	inf	((+ (+ (* (+ (* (+ (* 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)) (+ (* (* 4 x2) (+ (* 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)) (* (+ (* (* 4 x2) (+ (* 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)))

analyze5.1s (1.6%)

Memory

34.0MiB live, 5 650.0MiB 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)

bsearch2.8s (0.9%)

Memory

-75.1MiB live, 3 175.2MiB allocated

Algorithm

168×	binary-search
88×	left-value

Stop Event

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

Samples

935.0ms	9 624×	0	valid
247.0ms	876×	1	valid
135.0ms	403×	2	valid
83.0ms	953×	0	invalid
44.0ms	25×	0	exit
6.0ms	9×	3	valid
1.0ms	8×	1	exit

Compiler

Compiled 130 402 to 65 970 computations (49.4% saved)

Precisions

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

ival-mult: 374.0ms (35.1% of total)

ival-div: 175.0ms (16.4% of total)

ival-pow: 134.0ms (12.6% of total)

ival-add: 106.0ms (10% of total)

ival-sub: 98.0ms (9.2% of total)

ival-neg: 46.0ms (4.3% of total)

ival-exp: 45.0ms (4.2% of total)

adjust: 37.0ms (3.5% of total)

ival-sqrt: 18.0ms (1.7% of total)

ival-true: 9.0ms (0.8% of total)

exact: 8.0ms (0.8% of total)

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

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

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

start2.0ms (0%)

Memory: 4.2MiB live, 4.1MiB allocated

end0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated

sample1.2min (22.8%)

simplify53.8s (17.1%)

soundness43.1s (13.7%)

rewrite36.3s (11.5%)

eval32.6s (10.4%)

localize21.7s (6.9%)

preprocess12.2s (3.9%)

explain11.1s (3.5%)

prune10.5s (3.3%)

regimes7.3s (2.3%)

series6.2s (2%)

analyze5.1s (1.6%)

bsearch2.8s (0.9%)

start2.0ms (0%)

end0.0ms (0%)

Profiling