Details

analyze241.0ms (5.4%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
38.6%	37.4%	59.7%	0.1%	2.7%	0%	0%	10
46.4%	44.5%	51.3%	0.1%	4.1%	0%	0%	11
53.7%	50.3%	43.4%	0.1%	6.1%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample3.5s (78.1%)

Results

3.4s	8254×	body	256	valid
127.0ms	639×	body	256	infinite
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess20.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

50×	`+-commutative`
44×	`fma-def`
16×	`associate-+l+`
8×	`associate-+r+`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	41	84
2	79	84
3	93	84
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y 2)))
(+.f64 z (fma.f64 x y (/.f64 y 2)))
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z 2) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z 2)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x z) y))
(+.f64 (/.f64 x 2) (fma.f64 x z y))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def`
12×	`+-commutative`
4×	`associate-+l+`
2×	`associate-+r+`
2×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	21
2	26	21
3	29	21

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))

eval1.0ms (0%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize14.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x y) z)

Compiler

Compiled 27 to 11 computations (59.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 (*.f64 x y) z)
0.0ms	x	@	inf	(+.f64 (*.f64 x y) z)
0.0ms	y	@	0	(+.f64 (*.f64 x y) z)
0.0ms	x	@	0	(+.f64 (*.f64 x y) z)
0.0ms	y	@	inf	(+.f64 (*.f64 x y) z)

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1628×	`*-un-lft-identity`
1516×	`add-cube-cbrt`
1500×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	9
2	2000	9

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (*.f64 x y) z)

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

Outputs

((-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) 1) (-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))) (*.f64 (fma.f64 x y z) 1) (*.f64 1 (fma.f64 x y z)) (*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z))) (*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z))) (*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x y) z))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))) (/.f64 1 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)))) (/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 x y) z)) (/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))) (/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y z))))) (/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y))) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z))) (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))) (pow.f64 (fma.f64 x y z) 1) (pow.f64 (sqrt.f64 (fma.f64 x y z)) 2) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) (pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3) (sqrt.f64 (pow.f64 (fma.f64 x y z) 2)) (log.f64 (exp.f64 (fma.f64 x y z))) (log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y z)))) (cbrt.f64 (pow.f64 (fma.f64 x y z) 3)) (expm1.f64 (log1p.f64 (fma.f64 x y z))) (exp.f64 (log.f64 (fma.f64 x y z))) (exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) 1)) (log1p.f64 (expm1.f64 (fma.f64 x y z))) (fma.f64 x y z) (fma.f64 y x z) (fma.f64 1 (*.f64 x y) z) (fma.f64 1 z (*.f64 x y)) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)) (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z) (fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 x y)) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z))

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-r`
1214×	`associate-l`
780×	`associate-+r+`
666×	`distribute-lft-neg-in`
622×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	1159
1	223	1109
2	842	1109
3	4920	1109

Stop Event

1×	node limit

Counts

73 → 45

Calls

Call 1

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

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

eval11.0ms (0.2%)

Compiler: Compiled 703 to 327 computations (53.5% saved)

prune7.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Accurracy

100.0%

Counts

46 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	51.7%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	73.3%	(+.f64 (/.f64 x 2) z)

Compiler

Compiled 30 to 21 computations (30% saved)

localize6.0ms (0.1%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize9.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	x	@	0	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	x	@	-inf	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	y	@	0	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	y	@	inf	(+.f64 (/.f64 x 2) (*.f64 y x))

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`add-sqr-sqrt`
1890×	`*-un-lft-identity`
1778×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	178	13
2	2366	13

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (*.f64 y x))

Outputs
((-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 1/2 y)))) 1) (-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 1/2 y)))) (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 y 1/2)) (.f64 (.f64 x (+.f64 1/2 y)) 1) (.f64 1 (.f64 x (+.f64 1/2 y))) (.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y)))) (.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2)) (.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (-.f64 1/2 y)))) (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))))) (/.f64 1 (/.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)))) (/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)))) (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 1/2 y))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2))))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (.f64 x y)))))) (/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 x y) (.f64 x 1/2))) (/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 1/2 y)))) (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))))) (pow.f64 (.f64 x (+.f64 1/2 y)) 1) (pow.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 3) (pow.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) 1/3) (sqrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (log.f64 (exp.f64 (.f64 x (+.f64 1/2 y)))) (log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 1/2 y))))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (expm1.f64 (log1p.f64 (.f64 x (+.f64 1/2 y)))) (exp.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) (exp.f64 (.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 1)) (log1p.f64 (expm1.f64 (.f64 x (+.f64 1/2 y)))) (fma.f64 x y (.f64 x 1/2)) (fma.f64 x 1/2 (.f64 x y)) (fma.f64 y x (.f64 x 1/2)) (fma.f64 1 (.f64 x 1/2) (.f64 x y)) (fma.f64 1 (.f64 x y) (.f64 x 1/2)) (fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x y)) (fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (.f64 x 1/2)) (fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (.f64 x y)) (fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2)))

Outputs

((-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1) (-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 1/2 y)))) (*.f64 x (+.f64 1/2 y)) (*.f64 x (+.f64 y 1/2)) (*.f64 (*.f64 x (+.f64 1/2 y)) 1) (*.f64 1 (*.f64 x (+.f64 1/2 y))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y)))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 1/2 y)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)))))) (/.f64 1 (/.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x y) 2)))) (/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)))) (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x y) 2)) (*.f64 x (-.f64 1/2 y))) (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2))))) (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (*.f64 1/2 (*.f64 x y)))))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 x y) (*.f64 x 1/2))) (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (-.f64 1/2 y)))) (/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x 1/2)))))) (pow.f64 (*.f64 x (+.f64 1/2 y)) 1) (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3) (pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3) (sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (log.f64 (exp.f64 (*.f64 x (+.f64 1/2 y)))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y))))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3)) (expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) (exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))) (exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1)) (log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y)))) (fma.f64 x y (*.f64 x 1/2)) (fma.f64 x 1/2 (*.f64 x y)) (fma.f64 y x (*.f64 x 1/2)) (fma.f64 1 (*.f64 x 1/2) (*.f64 x y)) (fma.f64 1 (*.f64 x y) (*.f64 x 1/2)) (fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y)) (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2)) (fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y)) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2)))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

836×	`distribute-lft-neg-in`
830×	`associate-+r+`
744×	`distribute-rgt-neg-in`
654×	`associate-+l+`
576×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1378
1	286	1328
2	1153	1272
3	4557	1236

Stop Event

1×	node limit

Counts

64 → 56

Calls

Call 1

Inputs
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (.f64 x y) 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(.f64 (.f64 x (+.f64 1/2 y)) 1)
(.f64 1 (.f64 x (+.f64 1/2 y)))
(.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 x 1/2))))))
(/.f64 1 (/.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 x y) (*.f64 x 1/2)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2))))))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))

Outputs
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (+.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(*.f64 (+.f64 1/2 y) x)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (.f64 x y) 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 x (-.f64 1/2 y)) (-.f64 (/.f64 (.f64 y y) -1) -1/4))
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 y 1/2))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 x (+.f64 1/2 y)) 1)
(*.f64 (+.f64 1/2 y) x)
(.f64 1 (.f64 x (+.f64 1/2 y)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))
(*.f64 (+.f64 1/2 y) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 x (-.f64 1/2 y)) (-.f64 (/.f64 (.f64 y y) -1) -1/4))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (*.f64 x 1/2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 (.f64 y x) (+.f64 y -1/2) (*.f64 x 1/4))))
(/.f64 1 (/.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 x (-.f64 1/2 y)) (-.f64 (/.f64 (.f64 y y) -1) -1/4))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 (.f64 y x) (+.f64 y -1/2) (*.f64 x 1/4))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 x (-.f64 1/2 y)) (-.f64 (/.f64 (.f64 y y) -1) -1/4))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 (.f64 y x) (+.f64 y -1/2) (*.f64 x 1/4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (.f64 1/2 (.f64 x y))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 (.f64 y x) (+.f64 y -1/2) (*.f64 x 1/4))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 x y) (*.f64 x 1/2)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 x (-.f64 1/2 y)) (-.f64 (/.f64 (.f64 y y) -1) -1/4))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (.f64 y x) 2)) (.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 x (-.f64 1/2 y)) (-.f64 (/.f64 (.f64 y y) -1) -1/4))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y x) 3)) 1) (fma.f64 (.f64 x x) 1/4 (.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 x 1/4) (.f64 (*.f64 y x) (+.f64 y -1/2)))))
(.f64 (/.f64 (pow.f64 x 3) x) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 (.f64 y x) (+.f64 y -1/2) (*.f64 x 1/4))))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 (+.f64 1/2 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(*.f64 (+.f64 1/2 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(*.f64 (+.f64 1/2 y) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(*.f64 (+.f64 1/2 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(*.f64 (+.f64 1/2 y) x)
(log.f64 (exp.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(*.f64 (+.f64 1/2 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(*.f64 (+.f64 1/2 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 1))
(*.f64 (+.f64 1/2 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 x y (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 x 1/2 (*.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 y x (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 1/2 x)) (.f64 y x))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (.f64 1/2 x)) (.f64 y x))
(fma.f64 y x (.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (.f64 1/2 x))))
(fma.f64 y x (.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 1/2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)

eval13.0ms (0.3%)

Compiler: Compiled 745 to 443 computations (40.5% saved)

prune12.0ms (0.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	53	6	59

Accurracy

100.0%

Counts

59 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	51.7%	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	73.3%	(+.f64 (/.f64 x 2) z)
▶	51.6%	(*.f64 (+.f64 1/2 y) x)
▶	28.6%	(*.f64 y x)
▶	25.8%	(*.f64 1/2 x)

Compiler

Compiled 50 to 36 computations (28% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize3.0ms (0.1%)

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

localize6.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 1/2 y) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	y	@	inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	x	@	0	(*.f64 (+.f64 1/2 y) x)
0.0ms	y	@	0	(*.f64 (+.f64 1/2 y) x)

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1554×	`*-un-lft-identity`
1456×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1426×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	1886	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 (+.f64 1/2 y) x)

Outputs

((+.f64 (*.f64 x 1/2) (*.f64 x y)) (+.f64 (*.f64 x y) (*.f64 x 1/2)) (+.f64 (*.f64 1/2 x) (*.f64 y x)) (+.f64 (*.f64 y x) (*.f64 1/2 x)) (-.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1) (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)) (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/2 y)) (/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))) (pow.f64 (*.f64 (+.f64 1/2 y) x) 1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3) (pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3) (sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2)) (log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3)) (expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x))) (exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x))) (exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)) 1)) (log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x))))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

976×	`*-commutative`
900×	`log-prod`
892×	`+-commutative`
882×	`fma-def`
766×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	494
1	143	486
2	434	486
3	2382	486
4	4693	486
5	7408	486

Stop Event

1×	node limit

Counts

32 → 32

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 y x) (.f64 1/2 x))
(-.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (-.f64 1/2 y))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(pow.f64 (*.f64 (+.f64 1/2 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 1/2 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 y x) (.f64 1/2 x))
(*.f64 x (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)
(*.f64 x (+.f64 1/2 y))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(/.f64 x (/.f64 (-.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 x (-.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (-.f64 1/2 y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y -1/2))) (+.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)))
(*.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (-.f64 1/2 y))
(/.f64 x (/.f64 (-.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 x (-.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (-.f64 1/2 y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y -1/2))) (+.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)))
(*.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)))
(pow.f64 (*.f64 (+.f64 1/2 y) x) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 1/2 y) x)) 1))
(*.f64 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 x (+.f64 1/2 y))

eval6.0ms (0.1%)

Compiler: Compiled 292 to 193 computations (33.9% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	32	6	38

Accurracy

100.0%

Counts

38 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	51.7%	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	73.3%	(+.f64 (/.f64 x 2) z)
✓	51.6%	(*.f64 (+.f64 1/2 y) x)
✓	28.6%	(*.f64 y x)
✓	25.8%	(*.f64 1/2 x)

Compiler

Compiled 50 to 36 computations (28% saved)

regimes26.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 x 2) z)
(+.f64 (/.f64 x 2) (*.f64 y x))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Calls

5 calls:

5.0ms	z
5.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
5.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 78 to 48 computations (38.5% saved)

regimes71.0ms (1.6%)

Counts

5 → 5

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 x 2) z)
(+.f64 (/.f64 x 2) (*.f64 y x))

Outputs
(*.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 x 2) z)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 x 2) z)
(*.f64 (+.f64 1/2 y) x)

Calls

4 calls:

21.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
19.0ms	y
16.0ms	z
12.0ms	x

Results

Accuracy	Segments	Branch
78.3%	2	`x`
84.8%	4	`y`
82.8%	3	`z`
85.7%	5	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 48 to 31 computations (35.4% saved)

bsearch0.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.611380093480282e+216	4.0683501423937646e+221
0.0ms	2.3914442558913182e+145	3.748013106086615e+153
0.0ms	2.7411453002874534e+112	1.013594605276403e+116
0.0ms	-1.1717728809313882e+154	-8.745429289665798e+149

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)
(*.f64 (+.f64 1/2 y) x)

Outputs
(*.f64 (+.f64 1/2 y) x)

Calls

3 calls:

4.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
51.6%	1	`x`
51.6%	1	`y`
51.6%	1	`z`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes34.0ms (0.8%)

Accuracy

Total -30.9b remaining (-99.1%)

Threshold costs -30.9b (-99.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y x)

Outputs
(*.f64 y x)
(*.f64 1/2 x)
(*.f64 y x)

Calls

3 calls:

14.0ms	z
11.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
36.4%	3	`x`
51.3%	3	`y`
34.3%	5	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch33.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.2120078007008189	49169368985523.13
15.0ms	-92793163906401.6	-2933930.2176878247

Results

29.0ms	304×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 284 to 222 computations (21.8% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
8×	`+-commutative`
8×	`if-if-or-not`
6×	`not-not`
6×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	251
1	50	245
2	53	239
3	59	235
4	63	235
5	67	235
6	68	235
7	69	235

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (+.f64 (/.f64 x 2) z) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712) (+.f64 (/.f64 x 2) z) (*.f64 (+.f64 1/2 y) x)))))
(*.f64 (+.f64 1/2 y) x)
(if (<=.f64 y -3000000) (.f64 y x) (if (<=.f64 y 1/2) (.f64 1/2 x) (*.f64 y x)))
(*.f64 1/2 x)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 x y)) z)
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (+.f64 (/.f64 x 2) z) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712) (+.f64 (/.f64 x 2) z) (*.f64 (+.f64 1/2 y) x)))))
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (.f64 x (+.f64 y 1/2)) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (+.f64 (/.f64 x 2) z) (if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712))) (.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z))))
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (.f64 x (+.f64 y 1/2)) (if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (not (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712))))) (+.f64 (/.f64 x 2) z) (.f64 x (+.f64 y 1/2))))
(if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (not (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (not (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712))))))) (*.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z))
(if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (not (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392) (and (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688)) (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712))))) (*.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z))
(if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (and (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392)) (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 9999999999999999601855055748251769806450047292244542376488118125689672251656359867008764503902493796828096692073033110439215789148209291468717978517470477604338250142827222541691722147321863584969741246387925089779712))))) (*.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 y 1/2))
(if (<=.f64 y -3000000) (.f64 y x) (if (<=.f64 y 1/2) (.f64 1/2 x) (*.f64 y x)))
(if (<=.f64 y -3000000) (.f64 x y) (if (<=.f64 y 1/2) (.f64 x 1/2) (*.f64 x y)))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 101 to 67 computations (33.7% saved)

soundness0.0ms (0%)

end43.0ms (1%)

Compiler: Compiled 89 to 53 computations (40.4% saved)

Details

analyze241.0ms (5.4%)

sample3.5s (78.1%)

preprocess20.0ms (0.4%)

simplify12.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.3%)

series2.0ms (0%)

rewrite57.0ms (1.3%)

simplify57.0ms (1.3%)

eval11.0ms (0.2%)

prune7.0ms (0.2%)

localize6.0ms (0.1%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite61.0ms (1.4%)

simplify62.0ms (1.4%)

eval13.0ms (0.3%)

prune12.0ms (0.3%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite61.0ms (1.4%)

simplify73.0ms (1.6%)

eval6.0ms (0.1%)

prune7.0ms (0.2%)

regimes26.0ms (0.6%)

regimes71.0ms (1.6%)

bsearch0.0ms (0%)

regimes12.0ms (0.3%)

regimes34.0ms (0.8%)

bsearch33.0ms (0.7%)

simplify10.0ms (0.2%)

soundness0.0ms (0%)

end43.0ms (1%)

Profiling