Metrics for Herbie run

Date:	Thursday, April 3rd, 2025
Commit:	f7a7cb35 on main
Seed:	2025093
Parameters:	256 points for 4 iterations
Flags:	`reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs` default
Memory:	32 206.9 MB

sample9.4s (37.3%)

Memory

261.9MiB live, 11 498.7MiB allocated; 5.2s collecting garbage

Samples

4.4s	70 141×	0	valid
600.0ms	4 158×	2	valid
143.0ms	1 855×	0	invalid
0.0ms	5×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-mult!: 679.0ms (23.2% of total)

ival-div!: 500.0ms (17.1% of total)

ival-sqrt: 478.0ms (16.3% of total)

ival-sub!: 388.0ms (13.2% of total)

ival-neg: 311.0ms (10.6% of total)

ival-fabs: 140.0ms (4.8% of total)

adjust: 128.0ms (4.4% of total)

ival-log: 121.0ms (4.1% of total)

ival-exp: 95.0ms (3.2% of total)

ival-add!: 82.0ms (2.8% of total)

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

ival->=: 3.0ms (0.1% of total)

Bogosity

rewrite6.1s (24.2%)

Memory

166.5MiB live, 6 487.2MiB allocated; 1.7s collecting garbage

Stop Event

71×	iter-limit
28×	node-limit
2×	unsound
1×	saturated

Counts

4 110 → 7 263

derivations1.9s (7.8%)

Memory

37.0MiB live, 2 181.8MiB allocated; 324ms collecting garbage

Stop Event

5×	done
4×	fuel

Compiler

Compiled 5 022 to 666 computations (86.7% saved)

eval1.5s (6%)

Memory: 21.0MiB live, 2 481.7MiB allocated; 407ms collecting garbage
Compiler: Compiled 462 103 to 37 613 computations (91.9% saved)

explain1.3s (5.2%)

Memory

33.7MiB live, 2 143.3MiB allocated; 316ms collecting garbage

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`#f`	oflow-rescue	254
`-.f64`	`#f`	cancellation	127
`+.f64`	`#f`	cancellation	98
`sqrt.f64`	`#f`	uflow-rescue	67
`/.f64`	`#f`	n/u	33
`/.f64`	`#f`	u/n	28
`*.f64`	`(*.f64 (/.f64 x y) z)`	*no**	14
`-.f64`	`#f`	nan-rescue	13
`*.f64`	`(*.f64 (/.f64 x y) z)`	*nu**	3
`exp.f64`	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`	sensitivity	1

Confusion

	Predicted +	Predicted -
+	279	11
-	233	1781

Precision

0.544921875

Recall

0.9620689655172414

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	279	0	11
-	233	0	1781

Precision?

0.544921875

Recall?

0.9620689655172414

Freqs

test

number	freq
0	1792
1	390
2	118
3	4

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	4

Precision?

1.0

Recall?

1.0

Samples

203.0ms	606×	2	valid
202.0ms	3 662×	0	valid
93.0ms	284×	1	valid
20.0ms	56×	3	valid

Compiler

Compiled 1 107 to 300 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

adjust: 72.0ms (22% of total)

ival-sqrt: 67.0ms (20.5% of total)

ival-mult!: 61.0ms (18.7% of total)

ival-div!: 50.0ms (15.3% of total)

ival-sub!: 23.0ms (7% of total)

ival-neg: 12.0ms (3.7% of total)

ival-if: 10.0ms (3.1% of total)

ival-log: 9.0ms (2.8% of total)

ival-add!: 8.0ms (2.4% of total)

ival-fabs: 6.0ms (1.8% of total)

ival-exp: 4.0ms (1.2% of total)

ival->=: 3.0ms (0.9% of total)

regimes1.0s (4%)

Memory

-35.6MiB live, 1 802.6MiB allocated; 246ms collecting garbage

Counts

712 → 135

Calls

26 calls:

188.0ms	(*.f64 x x)
158.0ms	b
95.0ms	x
54.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
51.0ms	a

Compiler

Compiled 1 266 to 1 049 computations (17.1% saved)

bsearch1.0s (4%)

Memory

21.8MiB live, 1 283.7MiB allocated; 184ms collecting garbage

Algorithm

61×	binary-search
7×	left-value

Stop Event

57×	narrow-enough
4×	predicate-same

Samples

370.0ms	4 304×	0	valid
124.0ms	860×	0	invalid
14.0ms	112×	2	valid
1.0ms	16×	1	valid

Compiler

Compiled 46 682 to 28 285 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 278.0ms

ival-mult!: 108.0ms (38.8% of total)

ival-div!: 47.0ms (16.9% of total)

ival-sqrt: 31.0ms (11.1% of total)

ival-sub!: 19.0ms (6.8% of total)

ival-neg: 18.0ms (6.5% of total)

ival-if: 16.0ms (5.8% of total)

ival-add!: 14.0ms (5% of total)

ival->=: 12.0ms (4.3% of total)

ival-fabs: 7.0ms (2.5% of total)

adjust: 4.0ms (1.4% of total)

ival-exp: 1.0ms (0.4% of total)

series988.0ms (3.9%)

Memory

-144.2MiB live, 1 687.6MiB allocated; 342ms collecting garbage

Counts

700 → 3 410

Calls

183 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	((neg (log (- (/ 1 x) 1))) (+ (log x) x) x (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) 1/2 (neg (log (- (/ 1 x) 1))) (+ x (+ (* (* x x) 1/2) (log x))) (+ (* (* x x) 1/2) (log x)) (log x))
32.0ms	c	@	0	((if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) b 0 (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) 2 c (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 (- (* a (/ c b)) b)) (- (* a (/ c b)) b) (* a (/ c b)) a (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (neg b) a) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg (sqrt (* (* a c) -4))) (sqrt (* (* a c) -4)) (* (* a c) -4) (* a c) -4 (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) (* (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) 1/2)) (/ (* -2 c) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b)) (* -2 c) -2 (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) (* b b) (* (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) 1/2) (/ (- (sqrt (+ (* (* -4 a) c) (* b b))) b) a) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) 1/2 (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ (* (/ b a) -1/2) (sqrt (* (/ c a) -1))) (/ b a) -1/2 (sqrt (* (/ c a) -1)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (* (/ c a) -1) -1 (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* (* 4 a) c) (* 4 a) 4)
30.0ms	c	@	0	((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) a) -1/2) (/ (* 2 c) (- (sqrt (+ (* (* -4 a) c) (* b b))) b))) (>= b 0) b 0 (* (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) a) -1/2) (/ (+ (* a (/ c b)) (neg b)) a) (+ (* a (/ c b)) (neg b)) a (/ c b) c (neg b) (/ (* 2 c) (- (sqrt (+ (* (* -4 a) c) (* b b))) b)) (* 2 c) 2 (- (sqrt (+ (* (* -4 a) c) (* b b))) b) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a) -4 (* b b) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (sqrt (* (/ c a) -4)) -1/2) (sqrt (* (/ c a) -4)) (* (/ c a) -4) (/ c a) -1/2 (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (* (/ c a) -1) -1 (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 b) -2 (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (neg (/ (+ (* 1/2 b) (sqrt (* (* a c) -1))) a)) (/ (+ (* 1/2 b) (sqrt (* (* a c) -1))) a) (+ (* 1/2 b) (sqrt (* (* a c) -1))) 1/2 (sqrt (* (* a c) -1)) (* (* a c) -1) (* a c) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ b a) -1/2) (sqrt (* (/ c a) -1))) (/ b a) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 (/ (* a c) b)) (/ (* a c) b))
27.0ms	z	@	-inf	((fabs (+ (* (/ (- 1 z) y) x) (/ 4 y))) (+ (* (/ (- 1 z) y) x) (/ 4 y)) (/ (- 1 z) y) (- 1 z) 1 z y x (/ 4 y) 4 (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (/ x y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) -4 (fabs (+ (* (* z x) (/ -1 y)) (/ (- x -4) y))) (+ (* (* z x) (/ -1 y)) (/ (- x -4) y)) (* z x) (/ -1 y) -1 (/ (- x -4) y) (- x -4))
27.0ms	x	@	0	((neg (log (- (/ 1 x) 1))) (log x) x (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) 1/2 1 (neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ (- 1 x) x) (- 1 x))

preprocess988.0ms (3.9%)

Memory

-153.1MiB live, 1 050.3MiB allocated; 255ms collecting garbage

Stop Event

8×	node-limit
1×	saturated

Compiler

Compiled 11 962 to 2 508 computations (79% saved)

prune572.0ms (2.3%)

Memory: 129.4MiB live, 1 132.1MiB allocated; 134ms collecting garbage
Counts: 9 774 → 273
Compiler: Compiled 19 468 to 9 569 computations (50.8% saved)

analyze339.0ms (1.4%)

Memory

39.8MiB live, 457.0MiB allocated; 60ms collecting garbage

Algorithm

9×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
22.2%	22.2%	77.7%	0.1%	0%	0%	0%	1
29.4%	27.8%	66.6%	0.1%	0%	5.6%	0%	2
50%	44.4%	44.4%	0.1%	0%	11.1%	0%	3
59.7%	51.3%	34.7%	0.1%	0%	13.9%	0%	4
66.4%	56.2%	28.4%	0.1%	0%	15.3%	0%	5
74%	62.1%	21.8%	0.1%	0%	16%	0%	6
77.6%	63.8%	18.4%	0.1%	0%	17.7%	0%	7
79.3%	65%	17%	0.1%	0%	17.9%	0%	8
85%	69.2%	12.2%	0.1%	0%	18.5%	0%	9
86.8%	69.7%	10.6%	0.1%	0%	19.6%	0%	10
88.7%	71.1%	9.1%	0.1%	0%	19.8%	0%	11
91.6%	72.9%	6.7%	0.1%	0%	20.3%	0%	12

Compiler

Compiled 153 to 106 computations (30.7% saved)

start0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

sample9.4s (37.3%)

rewrite6.1s (24.2%)

derivations1.9s (7.8%)

eval1.5s (6%)

explain1.3s (5.2%)

regimes1.0s (4%)

bsearch1.0s (4%)

series988.0ms (3.9%)

preprocess988.0ms (3.9%)

prune572.0ms (2.3%)

analyze339.0ms (1.4%)

start0.0ms (0%)

end0.0ms (0%)

Profiling