Metrics for Exp of sum of logs

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
100%	25%	0%	0.1%	0%	74.9%	0%	3

Compiler

Compiled 8 to 8 computations (0% saved)

sample2.2s (33.5%)

Memory

95.3MiB live, 2 436.0MiB allocated

Samples

1.6s

8 256×

valid

Precisions

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

ival-log: 795.0ms (71.1% of total)

ival-exp: 224.0ms (20% of total)

ival-add: 79.0ms (7.1% of total)

ival-true: 11.0ms (1% of total)

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

Bogosity

explain297.0ms (4.5%)

Memory

37.9MiB live, 337.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
134	32	(4.446238641307173e-66 2.6185226637597866e-151)	13	(8.375162028556129e-60 16391346485786614000.0)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
0	0	-	0	-	`a`
0	0	-	0	-	`b`
0	0	-	0	-	`(+.f64 (log.f64 a) (log.f64 b))`
0	0	-	0	-	`(log.f64 a)`
0	0	-	0	-	`(log.f64 b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`	sensitivity	153	25

Confusion

	Predicted +	Predicted -
+	132	30
-	21	73

Precision

0.8627450980392157

Recall

0.8148148148148148

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	23	7
-	21	5	68

Precision?

0.856353591160221

Recall?

0.9567901234567902

Freqs

test

number	freq
0	103
1	153

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

175.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 150.0ms

ival-log: 86.0ms (57.5% of total)

ival-exp: 58.0ms (38.8% of total)

ival-add: 5.0ms (3.3% of total)

ival-true: 1.0ms (0.7% of total)

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

preprocess1.7s (25.5%)

Memory

-243.9MiB live, 542.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	35	23
2	91	17
3	296	17
4	1339	17
0	6	6
0	10	6
1	17	3
2	36	3
3	88	3
4	365	3
5	3211	3
0	8226	3

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)

Symmetry

(negabs b)

(negabs a)

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.6%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify346.0ms (5.3%)

Memory

18.8MiB live, 465.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 b)
cost-diff	0	(log.f64 a)
cost-diff	0	(+.f64 (log.f64 a) (log.f64 b))
cost-diff	3	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	17	14
2	36	14
3	88	14
4	365	14
5	3211	14
0	8226	14

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
a
(log.f64 b)
b

Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
(+.f64 (log.f64 a) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 a))
(log.f64 a)
a
(log.f64 b)
b

localize101.0ms (1.5%)

Memory

-12.5MiB live, 95.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 b)
accuracy	0.0	(log.f64 a)
accuracy	0.5485556858808008	(+.f64 (log.f64 a) (log.f64 b))
accuracy	3.830057513607783	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Samples

91.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-log: 71.0ms (89.3% of total)

ival-exp: 6.0ms (7.5% of total)

ival-add: 2.0ms (2.5% of total)

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

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

series402.0ms (6.1%)

Memory

-14.0MiB live, 526.8MiB allocated

Counts

4 → 16

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
(log.f64 b)

Outputs
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(log a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(+ (log b) (* -1 (log (/ 1 a))))
(* -1 (log (/ 1 a)))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(log b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(+ (log a) (* -1 (log (/ 1 b))))
(* -1 (log (/ 1 b)))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (* -1 (log (/ -1 b))))

Calls

6 calls:

Time	Variable		Point	Expression
144.0ms	a	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
72.0ms	b	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
69.0ms	a	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
67.0ms	b	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
26.0ms	b	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))

simplify334.0ms (5.1%)

Memory

61.4MiB live, 489.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	91
1	96	72
2	272	72
3	725	72
4	2565	72
0	9720	72

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(log a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(+ (log b) (* -1 (log (/ 1 a))))
(* -1 (log (/ 1 a)))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(log b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(+ (log a) (* -1 (log (/ 1 b))))
(* -1 (log (/ 1 b)))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (* -1 (log (/ -1 b))))

Outputs
(exp (+ (log a) (log b)))
(*.f64 b a)
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(log a)
(log.f64 a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 b a)
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 b) (log.f64 a))
(* -1 (log (/ 1 a)))
(log.f64 a)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 b a)
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log -1) (* -1 (log (/ -1 a))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(log b)
(log.f64 b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 b a)
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 b) (log.f64 a))
(* -1 (log (/ 1 b)))
(log.f64 b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 b a)
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))

rewrite656.0ms (10%)

Memory

-33.0MiB live, 628.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	13
1	32	11
2	187	11
3	1839	11
0	8948	11

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 257

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
(log.f64 b)

Outputs
(*.f64 (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))) (exp.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b)))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64))))))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 b a)
(*.f64 a b)
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 b a)) (log.f64 b))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 6 binary64))))) (fma.f64 (.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (-.f64 (*.f64 (log.f64 (/.f64 b a)) (log.f64 b)) (pow.f64 (log.f64 a) #s(literal 2 binary64))) (pow.f64 (log.f64 a) #s(literal 4 binary64))))
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (/.f64 (log.f64 (*.f64 b a)) (fma.f64 (log.f64 (/.f64 b a)) (log.f64 b) (pow.f64 (log.f64 a) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))))) (fma.f64 (log.f64 b) (log.f64 (*.f64 b a)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))) (log.f64 (*.f64 b a)))
(pow.f64 (*.f64 b a) (/.f64 (log.f64 (/.f64 a b)) (log.f64 (/.f64 a b))))
(pow.f64 (*.f64 b a) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)) (.f64 b a)) (.f64 (.f64 b a) (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (sinh.f64 (log.f64 (/.f64 b a)))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) (sinh.f64 (log.f64 (/.f64 b a)))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (sinh.f64 (log.f64 (/.f64 a b)))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) (sinh.f64 (log.f64 (/.f64 a b)))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 3 binary64))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (*.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64))))) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (+.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) (*.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) #s(literal -2 binary64)) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (neg.f64 (-.f64 (.f64 b a) (.f64 b a))))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (log.f64 (/.f64 b a))) (-.f64 (.f64 b a) (.f64 b a)))) (*.f64 (cosh.f64 (log.f64 (/.f64 b a))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 3 binary64))) (sinh.f64 (log.f64 (/.f64 b a)))) (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a)))))) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (pow.f64 (.f64 (sinh.f64 (log.f64 a)) (cosh.f64 (log.f64 b))) #s(literal 2 binary64))))) (.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a))) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (log.f64 b)) (cosh.f64 (log.f64 a))) (*.f64 (sinh.f64 (log.f64 b)) (sinh.f64 (log.f64 a)))))) (sinh.f64 (log.f64 (/.f64 b a)))))
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(exp.f64 (*.f64 (log.f64 (log.f64 a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 a)))
(+.f64 (cosh.f64 (log.f64 (log.f64 a))) (sinh.f64 (log.f64 (log.f64 a))))
(log.f64 a)
(*.f64 (sqrt.f64 (neg.f64 (log.f64 b))) (sqrt.f64 (neg.f64 (log.f64 b))))
(*.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (log.f64 b)))
(pow.f64 (neg.f64 (log.f64 b)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 b) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 b)))
(sqrt.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 b)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 b)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 b)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 b)))
(fabs.f64 (neg.f64 (log.f64 b)))
(fabs.f64 (log.f64 b))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 b)))
(+.f64 (cosh.f64 (log.f64 (log.f64 b))) (sinh.f64 (log.f64 (log.f64 b))))
(log.f64 b)

eval98.0ms (1.5%)

Memory: 25.6MiB live, 128.7MiB allocated
Compiler: Compiled 10 386 to 940 computations (90.9% saved)

prune6.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	1	266

Accuracy

100.0%

Counts

266 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 b a)

Compiler

Compiled 3 to 3 computations (0% saved)

simplify6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 b a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	5	5
0	5	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 b a)
b
a

Outputs
(*.f64 b a)
(*.f64 a b)
b
a

localize52.0ms (0.8%)

Memory

-68.6MiB live, 37.9MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 b a)

Samples

47.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 36.0ms (97.4% of total)

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

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

series4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(* a b)

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((* b a))
1.0ms	b	@	-inf	((* b a))
1.0ms	a	@	-inf	((* b a))
1.0ms	a	@	0	((* b a))
1.0ms	b	@	inf	((* b a))

simplify5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
(* a b)

Outputs
(* a b)
(*.f64 a b)

rewrite11.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	3
1	5	3
0	5	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 a b)
(*.f64 b a)

eval1.0ms (0%)

Memory: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 13 to 6 computations (53.8% saved)

prune2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3	1	4

Accuracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 b a)

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes51.0ms (0.8%)

Memory

-54.6MiB live, 48.2MiB allocated

Accuracy

Total -4.7b remaining (-∞%)

Threshold costs -4.7b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Outputs
(*.f64 b a)

Calls

6 calls:

37.0ms	a
3.0ms	(+.f64 (log.f64 a) (log.f64 b))
3.0ms	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
3.0ms	(log.f64 a)
3.0ms	(log.f64 b)

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
100.0%	1	`(+.f64 (log.f64 a) (log.f64 b))`
100.0%	1	`(log.f64 a)`
100.0%	1	`(log.f64 b)`

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify18.0ms (0.3%)

Memory

43.5MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 b a)

soundness176.0ms (2.7%)

Memory

-57.6MiB live, 175.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	10	13
1	32	11
2	187	11
3	1839	11
0	8948	11

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 12 to 10 computations (16.7% saved)

preprocess119.0ms (1.8%)

Memory

40.3MiB live, 147.2MiB allocated

Remove

(sort a b)

(negabs a)

(negabs b)

Compiler

Compiled 42 to 42 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample2.2s (33.5%)

explain297.0ms (4.5%)

preprocess1.7s (25.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify346.0ms (5.3%)

localize101.0ms (1.5%)

series402.0ms (6.1%)

simplify334.0ms (5.1%)

rewrite656.0ms (10%)

eval98.0ms (1.5%)

prune6.0ms (0.1%)

simplify6.0ms (0.1%)

localize52.0ms (0.8%)

series4.0ms (0.1%)

simplify5.0ms (0.1%)

rewrite11.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes51.0ms (0.8%)

simplify18.0ms (0.3%)

soundness176.0ms (2.7%)

preprocess119.0ms (1.8%)

end0.0ms (0%)

Profiling