Details

analyze13.0ms (0.7%)

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%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
33.3%	25%	50%	0.1%	0%	25%	0%	4
44.4%	25%	31.2%	0.1%	0%	43.7%	0%	5
53.3%	25%	21.9%	0.1%	0%	53.1%	0%	6
64%	25%	14%	0.1%	0%	60.9%	0%	7
71.1%	25%	10.1%	0.1%	0%	64.8%	0%	8
79%	25%	6.6%	0.1%	0%	68.3%	0%	9
83.7%	25%	4.9%	0.1%	0%	70%	0%	10
88.6%	25%	3.2%	0.1%	0%	71.7%	0%	11
91.3%	25%	2.4%	0.1%	0%	72.5%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.3s (70.5%)

Results

1.1s	7247×	body	256	valid
146.0ms	1009×	body	256	infinite
78.0ms	782×	body	256	invalid

Bogosity

preprocess24.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

4×	`exp-sum`
4×	`rem-exp-log`
2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	15	14
2	17	14
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Alt Table

Click to see full alt table

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

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a b)

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize42.0ms (2.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(+.f64 (log.f64 a) (log.f64 b))
✓	93.7%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Compiler

Compiled 20 to 7 computations (65% saved)

series125.0ms (6.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
52.0ms	a	@	0	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
26.0ms	b	@	0	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
19.0ms	a	@	-inf	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
15.0ms	b	@	-inf	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
6.0ms	b	@	inf	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

rewrite65.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`pow1`
1662×	`add-exp-log`
1662×	`log1p-expm1-u`
1662×	`expm1-log1p-u`
1620×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	178	18
2	2282	18

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs
(+.f64 1 (-.f64 (*.f64 a b) 1))
(-.f64 (+.f64 1 (*.f64 a b)) 1)
(*.f64 a b)
(*.f64 b a)
(.f64 (.f64 a b) 1)
(.f64 1 (.f64 a b))
(.f64 (cbrt.f64 (.f64 a b)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (*.f64 a b)))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) b))
(.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) b))
(.f64 (.f64 a (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (.f64 a (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (*.f64 a b) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 3)
(pow.f64 (pow.f64 (*.f64 a b) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a b)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a b)))) (sqrt.f64 (log.f64 (.f64 a b))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a b))) 2)) (cbrt.f64 (log.f64 (.f64 a b))))
(sqrt.f64 (pow.f64 (*.f64 a b) 2))
(log.f64 (pow.f64 (exp.f64 a) b))
(cbrt.f64 (pow.f64 (*.f64 a b) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 a b)))
(log1p.f64 (expm1.f64 (*.f64 a b)))
(-.f64 (+.f64 1 (log.f64 (*.f64 a b))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 a) 2) (log.f64 (/.f64 a b))) (/.f64 (pow.f64 (log.f64 b) 2) (log.f64 (/.f64 a b))))
(.f64 (log.f64 (.f64 a b)) 1)
(.f64 1 (log.f64 (.f64 a b)))
(.f64 (cbrt.f64 (log.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 a b))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a b))) 2) (cbrt.f64 (log.f64 (*.f64 a b))))
(.f64 (sqrt.f64 (log.f64 (.f64 a b))) (sqrt.f64 (log.f64 (*.f64 a b))))
(.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3)) (/.f64 1 (fma.f64 (log.f64 a) (log.f64 a) (.f64 (log.f64 b) (-.f64 (log.f64 b) (log.f64 a))))))
(*.f64 (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2)) (/.f64 1 (log.f64 (/.f64 a b))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 a) (log.f64 a) (*.f64 (log.f64 b) (-.f64 (log.f64 b) (log.f64 a)))) (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 a b)) (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3)) (fma.f64 (log.f64 a) (log.f64 a) (*.f64 (log.f64 b) (-.f64 (log.f64 b) (log.f64 a)))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3)) (+.f64 (pow.f64 (log.f64 b) 2) (-.f64 (pow.f64 (log.f64 a) 2) (*.f64 (log.f64 a) (log.f64 b)))))
(/.f64 (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2)) (log.f64 (/.f64 a b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3))) (neg.f64 (fma.f64 (log.f64 a) (log.f64 a) (*.f64 (log.f64 b) (-.f64 (log.f64 b) (log.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2))) (neg.f64 (log.f64 (/.f64 a b))))
(/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (log.f64 a) 2)) (-.f64 (log.f64 b) (log.f64 a)))
(pow.f64 (log.f64 (*.f64 a b)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 a b))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 a b))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 a b)) 2))
(log.f64 (*.f64 a b))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 a b)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 a b))))
(exp.f64 (log.f64 (log.f64 (*.f64 a b))))
(log1p.f64 (-.f64 (*.f64 a b) 1))
(fma.f64 1 (log.f64 a) (log.f64 b))
(fma.f64 1 (log.f64 b) (log.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 a)) 2) (cbrt.f64 (log.f64 a)) (log.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 b)) 2) (cbrt.f64 (log.f64 b)) (log.f64 a))
(fma.f64 (sqrt.f64 (log.f64 a)) (sqrt.f64 (log.f64 a)) (log.f64 b))
(fma.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (log.f64 b)) (log.f64 a))

simplify70.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1492×	`fma-neg`
1176×	`log-prod`
956×	`unswap-sqr`
846×	`fma-def`
356×	`exp-sum`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2277
1	386	1839
2	1179	1719
3	5751	1695

Stop Event

1×	node limit

Counts

107 → 89

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a)))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a))))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 a))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (log.f64 a)))
(+.f64 1 (-.f64 (*.f64 a b) 1))
(-.f64 (+.f64 1 (*.f64 a b)) 1)
(*.f64 a b)
(*.f64 b a)
(.f64 (.f64 a b) 1)
(.f64 1 (.f64 a b))
(.f64 (cbrt.f64 (.f64 a b)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (*.f64 a b)))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) b))
(.f64 (sqrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) b))
(.f64 (.f64 a (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (.f64 a (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (*.f64 a b) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 3)
(pow.f64 (pow.f64 (*.f64 a b) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a b)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a b)))) (sqrt.f64 (log.f64 (.f64 a b))))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a b))) 2)) (cbrt.f64 (log.f64 (.f64 a b))))
(sqrt.f64 (pow.f64 (*.f64 a b) 2))
(log.f64 (pow.f64 (exp.f64 a) b))
(cbrt.f64 (pow.f64 (*.f64 a b) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (*.f64 a b)))
(log1p.f64 (expm1.f64 (*.f64 a b)))
(-.f64 (+.f64 1 (log.f64 (*.f64 a b))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 a) 2) (log.f64 (/.f64 a b))) (/.f64 (pow.f64 (log.f64 b) 2) (log.f64 (/.f64 a b))))
(.f64 (log.f64 (.f64 a b)) 1)
(.f64 1 (log.f64 (.f64 a b)))
(.f64 (cbrt.f64 (log.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 a b))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a b))) 2) (cbrt.f64 (log.f64 (*.f64 a b))))
(.f64 (sqrt.f64 (log.f64 (.f64 a b))) (sqrt.f64 (log.f64 (*.f64 a b))))
(.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3)) (/.f64 1 (fma.f64 (log.f64 a) (log.f64 a) (.f64 (log.f64 b) (-.f64 (log.f64 b) (log.f64 a))))))
(*.f64 (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2)) (/.f64 1 (log.f64 (/.f64 a b))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 a) (log.f64 a) (*.f64 (log.f64 b) (-.f64 (log.f64 b) (log.f64 a)))) (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 a b)) (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3)) (fma.f64 (log.f64 a) (log.f64 a) (*.f64 (log.f64 b) (-.f64 (log.f64 b) (log.f64 a)))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3)) (+.f64 (pow.f64 (log.f64 b) 2) (-.f64 (pow.f64 (log.f64 a) 2) (*.f64 (log.f64 a) (log.f64 b)))))
(/.f64 (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2)) (log.f64 (/.f64 a b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 b) 3))) (neg.f64 (fma.f64 (log.f64 a) (log.f64 a) (*.f64 (log.f64 b) (-.f64 (log.f64 b) (log.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2))) (neg.f64 (log.f64 (/.f64 a b))))
(/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (log.f64 a) 2)) (-.f64 (log.f64 b) (log.f64 a)))
(pow.f64 (log.f64 (*.f64 a b)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 a b))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 a b))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 a b)) 2))
(log.f64 (*.f64 a b))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 a b)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 a b))))
(exp.f64 (log.f64 (log.f64 (*.f64 a b))))
(log1p.f64 (-.f64 (*.f64 a b) 1))
(fma.f64 1 (log.f64 a) (log.f64 b))
(fma.f64 1 (log.f64 b) (log.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 a)) 2) (cbrt.f64 (log.f64 a)) (log.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 b)) 2) (cbrt.f64 (log.f64 b)) (log.f64 a))
(fma.f64 (sqrt.f64 (log.f64 a)) (sqrt.f64 (log.f64 a)) (log.f64 b))
(fma.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (log.f64 b)) (log.f64 a))

Outputs
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (log.f64 (*.f64 b a)))
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (log.f64 (*.f64 b a)))
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (log.f64 (*.f64 b a)))
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (log.f64 (*.f64 b a)))
(*.f64 b a)
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (log.f64 (*.f64 b a)))
(*.f64 b a)
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (log.f64 (*.f64 b a)))
(*.f64 b a)
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (log.f64 (*.f64 b a)))
(*.f64 b a)
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 b)))
(exp.f64 (log.f64 (*.f64 b a)))
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 b) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(exp.f64 (+.f64 (+.f64 (log.f64 b) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 a)))))
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(/.f64 (-.f64 (pow.f64 (log.f64 a) 2) (pow.f64 (log.f64 b) 2)) (log.f64 (/.f64 a b)))
(/.f64 (.f64 (log.f64 (.f64 b a)) (log.f64 (/.f64 a b))) (log.f64 (/.f64 a b)))
(/.f64 (log.f64 (*.f64 b a)) (/.f64 (log.f64 (/.f64 a b)) (log.f64 (/.f64 a b))))
(pow.f64 (log.f64 (*.f64 a b)) 1)
(log.f64 (*.f64 b a))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 a b))) 3)
(log.f64 (*.f64 b a))
(pow.f64 (pow.f64 (log.f64 (*.f64 a b)) 3) 1/3)
(log.f64 (*.f64 b a))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 a b))) 2)
(log.f64 (*.f64 b a))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 a b)) 2))
(log.f64 (*.f64 b a))
(log.f64 (*.f64 a b))
(log.f64 (*.f64 b a))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 a b)) 3))
(log.f64 (*.f64 b a))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 a b))))
(log.f64 (*.f64 b a))
(exp.f64 (log.f64 (log.f64 (*.f64 a b))))
(log.f64 (*.f64 b a))
(log1p.f64 (-.f64 (*.f64 a b) 1))
(log.f64 (*.f64 b a))
(fma.f64 1 (log.f64 a) (log.f64 b))
(log.f64 (*.f64 b a))
(fma.f64 1 (log.f64 b) (log.f64 a))
(log.f64 (*.f64 b a))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 a)) 2) (cbrt.f64 (log.f64 a)) (log.f64 b))
(log.f64 (*.f64 b a))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 b)) 2) (cbrt.f64 (log.f64 b)) (log.f64 a))
(log.f64 (*.f64 b a))
(fma.f64 (sqrt.f64 (log.f64 a)) (sqrt.f64 (log.f64 a)) (log.f64 b))
(log.f64 (*.f64 b a))
(fma.f64 (sqrt.f64 (log.f64 b)) (sqrt.f64 (log.f64 b)) (log.f64 a))
(log.f64 (*.f64 b a))

eval17.0ms (0.9%)

Compiler: Compiled 960 to 471 computations (50.9% saved)

prune15.0ms (0.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	1	90

Accurracy

100.0%

Counts

90 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize15.0ms (0.8%)

Compiler: Compiled 8 to 4 computations (50% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accurracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes26.0ms (1.4%)

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:

12.0ms	(log.f64 b)
3.0ms	(+.f64 (log.f64 a) (log.f64 b))
3.0ms	(log.f64 a)
3.0ms	a
3.0ms	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 40 to 28 computations (30% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 b a)

Compiler

Compiled 5 to 3 computations (40% saved)

soundness97.0ms (5.2%)

Rules

1492×	`fma-neg`
1176×	`log-prod`
956×	`unswap-sqr`
846×	`fma-def`
356×	`exp-sum`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2277
1	386	1839
2	1179	1719
3	5751	1695

Stop Event

1×	node limit

Compiler

Compiled 23 to 11 computations (52.2% saved)

end28.0ms (1.5%)

Remove: (sort a b)
Compiler: Compiled 46 to 30 computations (34.8% saved)

Exp of sum of logs

Details

analyze13.0ms (0.7%)

sample1.3s (70.5%)

preprocess24.0ms (1.3%)

localize42.0ms (2.2%)

series125.0ms (6.7%)

rewrite65.0ms (3.5%)

simplify70.0ms (3.8%)

eval17.0ms (0.9%)

prune15.0ms (0.8%)

localize15.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes26.0ms (1.4%)

simplify10.0ms (0.6%)

soundness97.0ms (5.2%)

end28.0ms (1.5%)

Profiling