Metrics for Herbie run

Date:	Sunday, January 19th, 2025
Commit:	7183cd93 on autofix-12-1
Seed:	2025019
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
Memory:	213 179.7 MB

sample2.1min (51.8%)

Memory

1 612.9MiB live, 114 767.3MiB allocated; 34.0s collecting garbage

Samples

30.1s	43 814×	2	valid
23.9s	145 287×	0	invalid
20.8s	96 695×	1	valid
17.6s	7 198×	5	exit
8.1s	87 291×	0	valid
2.4s	3 362×	3	valid
309.0ms	4 079×	0	exit
7.0ms	6×	4	valid

Precisions

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

ival-pow: 17.0s (19.3% of total)

ival-tan: 13.4s (15.3% of total)

adjust: 8.6s (9.8% of total)

ival-mult: 6.1s (6.9% of total)

const: 4.6s (5.2% of total)

ival-div: 4.4s (5% of total)

ival-cos: 4.4s (5% of total)

ival-sub: 4.0s (4.6% of total)

ival-log: 3.7s (4.2% of total)

ival-sin: 3.3s (3.7% of total)

ival-add: 3.2s (3.6% of total)

ival-exp: 2.6s (2.9% of total)

ival-fabs: 2.2s (2.5% of total)

ival-expm1: 1.9s (2.2% of total)

ival-<=: 1.8s (2.1% of total)

ival-<: 1.3s (1.5% of total)

ival-sqrt: 1.1s (1.3% of total)

ival-log1p: 1.1s (1.3% of total)

ival-fmin: 919.0ms (1% of total)

ival-and: 597.0ms (0.7% of total)

exact: 338.0ms (0.4% of total)

ival-atan: 324.0ms (0.4% of total)

ival-cbrt: 281.0ms (0.3% of total)

ival->: 264.0ms (0.3% of total)

ival-neg: 257.0ms (0.3% of total)

ival-assert: 148.0ms (0.2% of total)

ival-true: 68.0ms (0.1% of total)

Bogosity

simplify38.8s (16.3%)

Memory

269.4MiB live, 32 555.8MiB allocated; 9.4s collecting garbage

Stop Event

330×	iter limit
243×	node limit
3×	saturated

Counts

11 448 → 11 448

localize23.2s (9.8%)

Memory

-92.3MiB live, 21 049.8MiB allocated; 4.9s collecting garbage

Samples

8.6s	11 874×	1	valid
8.0s	6 196×	2	valid
2.1s	9 205×	0	valid
643.0ms	456×	3	valid
419.0ms	173×	5	exit

Compiler

Compiled 22 050 to 3 310 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.8s

adjust: 3.4s (21.2% of total)

ival-mult: 2.3s (14.2% of total)

ival-tan: 1.8s (11.3% of total)

ival-div: 1.6s (10.3% of total)

ival-add: 1.4s (8.6% of total)

ival-sub: 937.0ms (5.9% of total)

ival-pow: 710.0ms (4.5% of total)

const: 689.0ms (4.3% of total)

ival-cos: 589.0ms (3.7% of total)

ival-log: 500.0ms (3.2% of total)

ival-sin: 409.0ms (2.6% of total)

ival-exp: 364.0ms (2.3% of total)

ival-sqrt: 303.0ms (1.9% of total)

ival-pow2: 263.0ms (1.7% of total)

ival-neg: 179.0ms (1.1% of total)

ival-expm1: 134.0ms (0.8% of total)

ival-log1p: 127.0ms (0.8% of total)

ival-atan2: 70.0ms (0.4% of total)

ival-cbrt: 62.0ms (0.4% of total)

exact: 46.0ms (0.3% of total)

ival-true: 22.0ms (0.1% of total)

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

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

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

rewrite12.6s (5.3%)

Memory

-439.7MiB live, 8 615.9MiB allocated; 4.8s collecting garbage

Stop Event

333×	iter limit
89×	node limit
20×	unsound

Counts

1 655 → 22 574

derivations8.9s (3.8%)

Memory

12.7MiB live, 4 968.3MiB allocated; 882ms collecting garbage

Stop Event

25×	fuel
3×	done

Compiler

Compiled 8 290 to 1 924 computations (76.8% saved)

preprocess7.5s (3.2%)

Memory

169.8MiB live, 6 186.9MiB allocated; 1.9s collecting garbage

Stop Event

56×	iter limit
51×	node limit
5×	saturated

Compiler

Compiled 18 930 to 5 239 computations (72.3% saved)

explain6.1s (2.6%)

Memory

-141.3MiB live, 5 880.6MiB allocated; 1.6s collecting garbage

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	4174	31
`log.f64`	`#f`	sensitivity	760	3
`/.f64`	`#f`	u/u	436	0
`sqrt.f64`	`#f`	oflow-rescue	388	0
`+.f64`	`#f`	cancellation	310	0
`/.f64`	`#f`	u/n	113	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	78	0
`sqrt.f64`	`#f`	uflow-rescue	30	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	24	0
↳	`(*.f64 b eps)`	underflow	158
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	153
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	158
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	236
↳	`(*.f64 a eps)`	underflow	153
`-.f64`	`#f`	nan-rescue	12	0
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	61
`/.f64`	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`	o/o	2	0
↳	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`	overflow	2
↳	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`	overflow	2
↳	`(exp.f64 x)`	overflow	2
↳	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	overflow	2
`*.f64`	`#f`	*nu**	2	0

Confusion

	Predicted +	Predicted -
+	5230	17
-	131	1790

Precision

0.9755642603991792

Recall

0.996760053363827

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5230	14	3
-	131	18	1772

Precision?

0.9723715928054886

Recall?

0.9994282447112636

Freqs

test

number	freq
0	1807
1	4574
2	648
3	94
4	45

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

1.7s	2 730×	2	valid
1.3s	6 034×	1	valid
451.0ms	5 380×	0	valid
153.0ms	192×	3	valid

Compiler

Compiled 2 154 to 763 computations (64.6% saved)

Precisions

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

ival-tan: 772.0ms (26.1% of total)

adjust: 389.0ms (13.2% of total)

ival-log: 268.0ms (9.1% of total)

ival-div: 257.0ms (8.7% of total)

ival-cos: 205.0ms (6.9% of total)

ival-sub: 153.0ms (5.2% of total)

ival-sin: 150.0ms (5.1% of total)

ival-pow: 144.0ms (4.9% of total)

ival-exp: 140.0ms (4.7% of total)

ival-add: 107.0ms (3.6% of total)

ival-mult: 91.0ms (3.1% of total)

ival-sqrt: 88.0ms (3% of total)

ival-log1p: 58.0ms (2% of total)

ival-cbrt: 34.0ms (1.2% of total)

ival-expm1: 28.0ms (0.9% of total)

ival-neg: 21.0ms (0.7% of total)

ival-atan: 20.0ms (0.7% of total)

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

exact: 8.0ms (0.3% of total)

ival-assert: 5.0ms (0.2% of total)

eval5.3s (2.2%)

Memory: -182.7MiB live, 6 276.6MiB allocated; 1.3s collecting garbage
Compiler: Compiled 1 349 539 to 149 285 computations (88.9% saved)

series3.5s (1.5%)

Memory

-71.0MiB live, 3 521.2MiB allocated; 661ms collecting garbage

Counts

1 655 → 11 448

Calls

507 calls:

Time	Variable		Point	Expression
69.0ms	x	@	inf	((- (pow (- x -1) 1/3) (cbrt x)) (/ (/ -1/3 (cbrt x)) (cbrt (neg x))) (/ -1/3 (cbrt x)) (cbrt x) (- (pow (- x -1) 1/3) (cbrt x)) (+ (* 1/3 x) (- 1 (cbrt x))) (- 1 (cbrt x)) (pow (- x -1) 1/3) (- (pow (- x -1) 1/3) (pow (* x x) 1/6)) (- x -1) (pow (* x x) 1/6) (+ (* (pow x 1/6) (neg (pow x 1/6))) (cbrt (- x -1))) (pow x 1/6) (neg (pow x 1/6)) (cbrt (- x -1)) (- (pow (- x -1) 1/3) (cbrt x)) (/ (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (cbrt (pow x 4)) 1/3) (* -1/9 (cbrt x))) (* (+ (* (cbrt (/ 1 (pow x 5))) -1/9) (* (cbrt (/ (/ 1 x) x)) 1/3)) (* x x)) (cbrt (neg x)) (* x x) (cbrt (/ (/ 1 x) x)) (cbrt (/ 1 (pow x 5))))
64.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* x a) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* x a) 1/6) 1/2)) (/ (- (exp (* (* x a) 2)) 1) (- (pow (exp x) a) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (+ (* (* x a) 1/6) 1/2) (pow (exp x) a) (- (pow (exp x) a) -1))
55.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x))
53.0ms	N	@	0	((/ (+ (* 1/3 N) -1/4) (* N N)) (- (log (+ N 1)) (log N)) (/ (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) N) (- (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) -1) (- (log (+ N 1)) (log N)) (/ (+ (- (/ 1/3 N) 1/2) N) (* N N)) (+ (- (/ 1/3 N) 1/2) N) (* N N) (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (- (log (+ N 1)) (log N)) (/ (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) N) (- (/ (/ (+ 1/3 (/ -1/4 N)) N) N) (+ (/ 1/2 N) -1)) (pow (pow (log N) 3/2) 2) (/ (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 3/2) 2)) (+ (* (log N) (+ (log N) (log (+ 1 N)))) (pow (log (+ 1 N)) 2))) (- (pow (log (+ 1 N)) 3) (pow (pow (log N) 3/2) 2)) (pow (log (+ 1 N)) 3) (* (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)))) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2)) (+ (log N) (log (+ 1 N))) (log N) (+ (* 1/3 N) -1/4) (/ (- (/ (+ (/ -1/4 N) 1/3) N) 1/2) N) (/ (+ 1/3 (/ -1/4 N)) N) (+ 1/3 (/ -1/4 N)) (pow (log (+ 1 N)) 2) (- (log (+ 1 N)) (log N)) (/ (- (log (+ 1 N)) (log N)) (+ (* (+ (log N) (log (+ 1 N))) (log N)) (pow (log (+ 1 N)) 2))))
49.0ms	a	@	inf	((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* (* (+ b a) 1/2) (+ (* (* b a) b) (* (* b a) a))) (* (* (* b a) a) b)) (+ (* (* b a) b) (* (* b a) a)) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* b a) b) (* (* b a) a))) (* (* (* b a) a) b))) (* (* (+ b a) 1/2) (+ (* (* b a) b) (* (* b a) a))) (/ (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) b) 1) (* eps (- (/ (pow (exp a) eps) (- (exp (* eps a)) 1)) 1/2)) (/ (pow (+ b a) 2) a) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (pow (exp a) eps) (- (exp (* eps a)) 1)))

regimes3.1s (1.3%)

Memory

-53.3MiB live, 3 227.9MiB allocated; 756ms collecting garbage

Counts

3 413 → 295

Calls

43 calls:

875.0ms	x
220.0ms	eps
173.0ms	(-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x))
131.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
114.0ms	b

Compiler

Compiled 2 187 to 2 053 computations (6.1% saved)

prune2.1s (0.9%)

Memory: 317.5MiB live, 3 261.6MiB allocated; 372ms collecting garbage
Counts: 36 046 → 1 640
Compiler: Compiled 97 047 to 48 331 computations (50.2% saved)

analyze2.1s (0.9%)

Memory

-7.8MiB live, 1 934.2MiB allocated; 1.4s collecting garbage

Algorithm

28×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	61.1%	38.9%	0%	0%	0%	0
7.4%	4.5%	56.6%	38.9%	0%	0%	0%	1
22.3%	13.6%	47.5%	38.9%	0%	0%	0%	2
40.2%	23.5%	34.9%	38.9%	0%	2.7%	0%	3
53.4%	31.1%	27.2%	38.9%	0%	2.8%	0%	4
63%	36.3%	21.3%	38.9%	0%	3.6%	0%	5
65.9%	37.5%	19.4%	38.9%	0%	4.2%	0%	6
70.4%	38.8%	16.3%	38.9%	0%	6%	0%	7
73.6%	40.2%	14.4%	38.9%	0%	6.5%	0%	8
76.3%	40.9%	12.7%	38.9%	0%	7.5%	0%	9
78.4%	41.4%	11.4%	38.9%	0%	8.3%	0%	10
81.1%	42.4%	9.9%	38.9%	0%	8.8%	0%	11
82.3%	42.7%	9.2%	38.9%	0%	9.3%	0%	12

Compiler

Compiled 483 to 337 computations (30.2% saved)

bsearch1.1s (0.5%)

Memory

145.3MiB live, 930.8MiB allocated; 112ms collecting garbage

Algorithm

70×	binary-search
16×	left-value

Stop Event

58×	narrow-enough
12×	predicate-same

Samples

324.0ms	4 007×	0	valid
192.0ms	1 207×	1	valid
89.0ms	298×	2	valid
89.0ms	891×	0	invalid
3.0ms	44×	0	exit
2.0ms	8×	3	valid

Compiler

Compiled 31 883 to 21 213 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 477.0ms

ival-pow: 114.0ms (23.9% of total)

ival-mult: 93.0ms (19.5% of total)

ival-div: 52.0ms (10.9% of total)

ival-sub: 52.0ms (10.9% of total)

adjust: 51.0ms (10.7% of total)

ival-sqrt: 37.0ms (7.8% of total)

ival-add: 22.0ms (4.6% of total)

ival-neg: 19.0ms (4% of total)

ival-cos: 15.0ms (3.1% of total)

ival-cbrt: 8.0ms (1.7% of total)

ival-true: 4.0ms (0.8% of total)

exact: 3.0ms (0.6% of total)

ival-assert: 2.0ms (0.4% of total)

ival-expm1: 2.0ms (0.4% of total)

ival-log1p: 1.0ms (0.2% of total)

ival-log: 1.0ms (0.2% of total)

start1.0ms (0%)

Memory: 2.5MiB live, 2.4MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

sample2.1min (51.8%)

simplify38.8s (16.3%)

localize23.2s (9.8%)

rewrite12.6s (5.3%)

derivations8.9s (3.8%)

preprocess7.5s (3.2%)

explain6.1s (2.6%)

eval5.3s (2.2%)

series3.5s (1.5%)

regimes3.1s (1.3%)

prune2.1s (0.9%)

analyze2.1s (0.9%)

bsearch1.1s (0.5%)

start1.0ms (0%)

end0.0ms (0%)

Profiling