Details

analyze129.0ms (1.1%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.8s (32.6%)

Results

2.5s	2565×	body	8192	exit
1.1s	7794×	body	256	valid
128.0ms	212×	body	1024	valid
69.0ms	250×	body	512	valid
21.0ms	150×	body	256	infinite

Bogosity

preprocess98.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1194×	`associate-/r/`
856×	`fma-def`
832×	`unswap-sqr`
784×	`*-commutative`
694×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	32	42
2	45	42
3	70	42
4	100	42
5	179	42
6	280	42
7	367	42
8	530	42
9	740	42
10	823	42
11	864	42
12	1012	42
13	1553	42
14	3299	42
15	6026	42
16	7316	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-l`
912×	`associate-/r*`
776×	`fma-def`
728×	`associate-/l*`
628×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	51	21
4	69	21
5	113	21
6	188	21
7	238	21
8	329	21
9	490	21
10	544	21
11	571	21
12	650	21
13	931	21
14	1815	21
15	5167	21
16	6110	21

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

99.2%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series44.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
21.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-r`
1104×	`associate-l`
814×	`associate-+l+`
796×	`associate-+r+`
788×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	532
1	175	532
2	593	532
3	3643	502
4	6963	502

Stop Event

1×	node limit

Counts

36 → 42

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 4))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))

eval8.0ms (0.1%)

Compiler: Compiled 662 to 245 computations (63% saved)

prune12.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Accurracy

99.7%

Counts

43 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.4%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.8%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize9.0ms (0.1%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

localize14.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
1.0ms	y	@	0	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
1.0ms	x	@	inf	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
0.0ms	x	@	-inf	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
0.0ms	y	@	inf	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`associate-*r/`
1062×	`distribute-lft-in`
982×	`associate-*l/`
442×	`associate-+l+`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	263	25
2	3520	25

Stop Event

1×	node limit

Counts

1 → 184

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))

Outputs
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Outputs

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simplify139.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-+l-`
976×	`associate--r+`
830×	`fma-def`
756×	`associate-+r-`
650×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	12388
1	1317	11142
2	6163	11140

Stop Event

1×	node limit

Counts

208 → 258

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (log.f64 2) (.f64 (+.f64 1/2 (.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (.f64 (+.f64 1/2 (.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (.f64 (+.f64 1/2 (.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 (*.f64 x (neg.f64 y)) 1)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1) (fma.f64 (neg.f64 x) y (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 1 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (-.f64 (.f64 1/2 x) (.f64 x y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (.f64 (*.f64 x (neg.f64 y)) 1)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y))) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (.f64 1/2 x) (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y))) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (.f64 1/2 x) (.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (.f64 1/2 x) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (.f64 1/2 x) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (.f64 1/2 x) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (log.f64 2) (.f64 1 (+.f64 (.f64 1/2 x) (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (.f64 1 (-.f64 (.f64 1/2 x) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 (.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 (.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 (.f64 x (neg.f64 y)) 1) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (.f64 0 (.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (.f64 (.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (.f64 y x)) (fma.f64 1/2 x (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (*.f64 y x)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 y x) 6)) (fma.f64 (.f64 y x) (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 y x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 3) (pow.f64 (pow.f64 (.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)))))) (+.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)) (+.f64 (.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 3) (pow.f64 (pow.f64 (.f64 y x) 3) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 y x) (+.f64 (.f64 y x) (fma.f64 1/2 x (log.f64 2)))))) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (+.f64 (pow.f64 (.f64 y x) 6) (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 y x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 3) (pow.f64 (pow.f64 (.f64 y x) 3) 3)) (fma.f64 (.f64 y x) (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (fma.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y x) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (.f64 x y) 2)) 1) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (.f64 x y) 2)) (sqrt.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)))) (sqrt.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (.f64 x y) 2)) (.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y))) (cbrt.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y))))) (cbrt.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 y x) (+.f64 (.f64 y x) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 y x) (+.f64 (.f64 y x) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 y x) (+.f64 (.f64 y x) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (fma.f64 y x (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 1)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 3)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3) 1/3)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 y x)) 2))
(fabs.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y))) 1))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1/2 x (-.f64 (log.f64 2) (*.f64 x y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x 1/2 (-.f64 (log.f64 2) (*.f64 x y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (.f64 1/2 x) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (.f64 1/2 x)) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 (cbrt.f64 (.f64 (.f64 1/4 x) x)) (cbrt.f64 (.f64 1/2 x)) (-.f64 (log.f64 2) (.f64 y x)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (.f64 1/2 x)) (-.f64 (log.f64 2) (.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))

eval115.0ms (1%)

Compiler: Compiled 7603 to 4288 computations (43.6% saved)

prune39.0ms (0.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	253	5	258
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	254	7	261

Accurracy

99.7%

Counts

261 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	57.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	26.4%	(*.f64 (-.f64 1/2 y) x)
▶	43.9%	(*.f64 y (neg.f64 x))
▶	56.9%	(log.f64 2)
▶	68.2%	(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))

Compiler

Compiled 93 to 72 computations (22.6% saved)

localize25.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))
✓	100.0%	(log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))
✓	98.9%	(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))

Compiler

Compiled 46 to 29 computations (37% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite129.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`unswap-sqr`
764×	`swap-sqr`
716×	`distribute-rgt-in`
676×	`distribute-lft-in`
490×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	278	79
2	3259	79

Stop Event

1×	node limit

Counts

3 → 367

Calls

Call 1

Inputs
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))
(-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (-.f64 (*.f64 1/2 x) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 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simplify259.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-+l+`
924×	`associate-+r+`
702×	`+-commutative`
632×	`associate-r`
542×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	640	30453
1	1847	27385

Stop Event

1×	node limit

Counts

439 → 408

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`add-sqr-sqrt`
1578×	`*-un-lft-identity`
1476×	`add-cube-cbrt`
1460×	`add-cbrt-cube`
1446×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	13
2	1901	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1004×	`fma-def`
876×	`*-commutative`
740×	`associate-r`
648×	`associate-l`
628×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	476
1	149	468
2	454	468
3	2558	468
4	5317	468

Stop Event

1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 (neg.f64 y) 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 1/2 y))))
(/.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 1/2 y))))
(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 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 (neg.f64 y) 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 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 1/2 y))))
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(*.f64 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 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 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 1/2 y))))
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(*.f64 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 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))

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize9.0ms (0.1%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

eval325.0ms (2.8%)

Compiler: Compiled 12967 to 8209 computations (36.7% saved)

prune87.0ms (0.7%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	428	9	437
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	429	15	444

Accurracy

99.7%

Counts

444 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
	10.7%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
▶	11.9%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
▶	26.2%	(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
	26.4%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	57.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	11.9%	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
✓	26.4%	(*.f64 (-.f64 1/2 y) x)
✓	43.9%	(*.f64 y (neg.f64 x))
▶	3.5%	(*.f64 1/2 x)
✓	56.9%	(log.f64 2)
	2.4%	(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)))))
▶	56.4%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))

Compiler

Compiled 278 to 214 computations (23% saved)

localize74.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
✓	99.1%	(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)
✓	98.9%	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
✓	98.5%	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))

Compiler

Compiled 80 to 63 computations (21.3% saved)

series185.0ms (1.6%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
52.0ms	y	@	0	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
36.0ms	x	@	-inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
22.0ms	y	@	-inf	(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
12.0ms	y	@	inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
10.0ms	y	@	-inf	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`unswap-sqr`
766×	`swap-sqr`
558×	`distribute-rgt-in`
524×	`associate-*r/`
514×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	116
1	324	116
2	3579	116

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

Inputs
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) 2) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6) (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x 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(log.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (+.f64 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (+.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) 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(log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (/.f64 2 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))))

simplify640.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1380×	`+-commutative`
1110×	`*-commutative`
1068×	`associate-+r+`
852×	`associate-/r*`
834×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1382	90070
1	4767	89690

Stop Event

1×	node limit

Counts

256 → 445

Calls

Call 1

Inputs
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 2) 1/3))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (*.f64 1/2 x) (log.f64 2))))))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 4)) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))))) (.f64 (pow.f64 y 2) (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)))) (+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (.f64 1/2 x) (log.f64 2)))))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (+.f64 (.f64 -4/81 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3)))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 8)) 1/9) (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))) x) (+.f64 (.f64 1/2 x) (log.f64 2))))) (+.f64 (.f64 -2/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 4)) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))) x) (+.f64 (.f64 1/2 x) (log.f64 2))) (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 5)) 1/9) (/.f64 (.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))) x) (+.f64 (.f64 1/2 x) (log.f64 2))))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2)) 1/3) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 3))))))))))))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 4)) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))))) (.f64 (pow.f64 y 2) (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)))) (+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (.f64 1/2 x) (log.f64 2))))))))
(exp.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) 2) 1/3))
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(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 4)))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 4)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 4)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 4)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 4))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 4))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2/3) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))
(+.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) 1)
(.f64 1/2 (.f64 2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(.f64 2 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6) (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))
(.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)))
(.f64 (sqrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (+.f64 (sqrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (sqrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (+.f64 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (+.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))))
(/.f64 2 (/.f64 2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(/.f64 (*.f64 2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)
(/.f64 (*.f64 2 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (/.f64 2 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (/.f64 2 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(/.f64 (*.f64 2 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) -2)
(pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(fabs.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))

Outputs
(exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 2) 1/3))
(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2)))
(+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (*.f64 1/2 x) (log.f64 2))))))
(+.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))) (.f64 -2/3 (/.f64 (.f64 (.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18) (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18)) (.f64 y (*.f64 x (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2)))))) (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))) (.f64 -2/3 (/.f64 (.f64 (*.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18) (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18)) y) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 2)) x) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2)))))))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 4)) 1/9) (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2)))))) (.f64 (pow.f64 y 2) (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)))) (+.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 1) 1/9) (/.f64 (.f64 y (.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) 1/3)) x)) (+.f64 (.f64 1/2 x) (log.f64 2)))))))
(fma.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2) 1/18)) (/.f64 (.f64 x x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (/.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (.f64 -1/3 (.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (.f64 (pow.f64 (/.f64 1 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1/18)))))) (.f64 1/9 (.f64 (/.f64 (.f64 x x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 4)) 1/18)))))) (.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))) (.f64 y y)) (+.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))) (.f64 -2/3 (/.f64 (.f64 (.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18) (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1/18)) (.f64 y (*.f64 x (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2)))))) (fma.f64 1/2 x (log.f64 2))))))
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(.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (.f64 2 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (+.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (.f64 2 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (.f64 2 (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (.f64 1/2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6))))
(/.f64 2 (/.f64 2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (*.f64 2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (*.f64 2 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)) (/.f64 2 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6)))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)) (/.f64 2 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (*.f64 2 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) -2)
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/3)
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 1/2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(pow.f64 (pow.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6) 2)
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 3)
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(fabs.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize23.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	95.4%	(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)

Compiler

Compiled 30 to 21 computations (30% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`associate-*r/`
1126×	`associate-*l/`
898×	`*-commutative`
816×	`distribute-lft-in`
332×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	226	13
2	3090	13

Stop Event

1×	node limit

Counts

1 → 136

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (-.f64 1/2 y) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (-.f64 1/2 y) x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (neg.f64 y)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (-.f64 1/2 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change 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egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)))))

simplify140.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-/r/`
956×	`associate-+r+`
858×	`associate-+l+`
630×	`+-commutative`
586×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	7520
1	1081	6826
2	4726	6810

Stop Event

1×	node limit

Counts

160 → 215

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 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 (-.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 (fma.f64 (-.f64 1/2 y) x -1))
(+.f64 (*.f64 (-.f64 1/2 y) x) 0)
(+.f64 (fma.f64 (-.f64 1/2 y) x 1) -1)
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 (-.f64 1/2 y) x -1) 1)
(+.f64 -1 (fma.f64 (-.f64 1/2 y) x 1))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 x (neg.f64 y)) 0))
(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
(+.f64 (.f64 1 (.f64 1/2 x)) (.f64 1 (.f64 x (neg.f64 y))))
(.f64 1 (.f64 (-.f64 1/2 y) x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (.f64 (-.f64 1/2 y) x) 1)
(.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 (sqrt.f64 (-.f64 1/2 y)) (.f64 x (sqrt.f64 (-.f64 1/2 y))))
(.f64 (sqrt.f64 x) (.f64 (-.f64 1/2 y) (sqrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(.f64 (cbrt.f64 (-.f64 1/2 y)) (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (.f64 x (cbrt.f64 (-.f64 1/2 y))))
(.f64 (cbrt.f64 x) (.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (-.f64 1/2 y) (cbrt.f64 x)))
(.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (/.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))
(.f64 (.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 x (cbrt.f64 (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(.f64 (.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (-.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (+.f64 1 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1))) (-.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 1))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 1) (+.f64 1 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1))))
(.f64 (/.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))) (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) (.f64 (-.f64 1/2 y) x))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (-.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2))) (-.f64 0 (.f64 (-.f64 1/2 y) x)))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (-.f64 0 (.f64 (-.f64 1/2 y) x))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2)))) (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2)))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 3) (pow.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))) (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (-.f64 (.f64 y y) (*.f64 1/2 y))))
(.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (-.f64 1/16 (.f64 (.f64 y (+.f64 1/2 y)) (.f64 y (+.f64 1/2 y))))) (-.f64 1/4 (.f64 y (+.f64 1/2 y))))
(.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (.f64 y (+.f64 1/2 y)) 3))) (-.f64 (+.f64 1/16 (.f64 (.f64 y (+.f64 1/2 y)) (.f64 y (+.f64 1/2 y)))) (.f64 1/4 (.f64 y (+.f64 1/2 y)))))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (-.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) -1))) (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/2 y) x) 1)
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))
(/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2) (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (-.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (-.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) (/.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (-.f64 1 (.f64 (fma.f64 (-.f64 1/2 y) x 1) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1))) (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -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 1/2 y))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x -1) (fma.f64 (-.f64 1/2 y) x -1))) (-.f64 1 (fma.f64 (-.f64 1/2 y) x -1)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)) 1) (.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) 1) (.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (-.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) -1))) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (-.f64 1/2 y) x -1) (fma.f64 (-.f64 1/2 y) x -1)) (fma.f64 (-.f64 1/2 y) x -1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 3) 1) (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 3) 1) (.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2)) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 3) 1) (.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (-.f64 1 (.f64 (fma.f64 (-.f64 1/2 y) x 1) -1))) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (.f64 1 (.f64 x (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(/.f64 (.f64 1 (.f64 x (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (fma.f64 (-.f64 1/2 y) x -1) (fma.f64 (-.f64 1/2 y) x -1)))) (-.f64 1 (fma.f64 (-.f64 1/2 y) x -1)))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x -1) 3))) (+.f64 1 (-.f64 (.f64 (fma.f64 (-.f64 1/2 y) x -1) (fma.f64 (-.f64 1/2 y) x -1)) (fma.f64 (-.f64 1/2 y) x -1))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1))) (neg.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (neg.f64 y) (neg.f64 y)))) (+.f64 1/2 y))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (+.f64 1/4 (-.f64 (.f64 (neg.f64 y) (neg.f64 y)) (*.f64 1/2 (neg.f64 y)))))
(/.f64 (.f64 x (neg.f64 (-.f64 1/4 (.f64 y y)))) (neg.f64 (+.f64 1/2 y)))
(/.f64 (.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1))) (sqrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1))) (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (.f64 (-.f64 1/4 (.f64 (neg.f64 y) (neg.f64 y))) x) (+.f64 1/2 y))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (neg.f64 y) 3)) x) (+.f64 1/4 (-.f64 (.f64 (neg.f64 y) (neg.f64 y)) (*.f64 1/2 (neg.f64 y)))))
(/.f64 (.f64 (neg.f64 (-.f64 1/4 (.f64 y y))) x) (neg.f64 (+.f64 1/2 y)))
(/.f64 (.f64 (neg.f64 (-.f64 1/8 (pow.f64 y 3))) x) (neg.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y)))))
(/.f64 (.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (.f64 (-.f64 1 (.f64 (fma.f64 (-.f64 1/2 y) x -1) (fma.f64 (-.f64 1/2 y) x -1))) 1) (-.f64 1 (fma.f64 (-.f64 1/2 y) x -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x -1) 3)) 1) (+.f64 1 (-.f64 (.f64 (fma.f64 (-.f64 1/2 y) x -1) (fma.f64 (-.f64 1/2 y) x -1)) (fma.f64 (-.f64 1/2 y) x -1))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) 1) (neg.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) (sqrt.f64 (.f64 (-.f64 1/2 y) x))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) (sqrt.f64 (.f64 (-.f64 1/2 y) x))) (sqrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))) (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2)) (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)) 1) (/.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) 2))) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 3) 1) (/.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) 2))) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2)))) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (sqrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2))) (sqrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))) (cbrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))
(/.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y))))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y)))))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(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 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(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)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 3) 1) (/.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) 2))) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 3) -1) (*.f64 (fma.f64 (-.f64 1/2 y) x 2) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 4) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 6)) (fma.f64 x (-.f64 1/2 y) 2)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 2) (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 6) -1) (*.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (fma.f64 (-.f64 1/2 y) x 2)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 6)) (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 2) (fma.f64 x (-.f64 1/2 y) 2)) (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2)))) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 3) -1) (*.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (fma.f64 (-.f64 1/2 y) x 2)) (+.f64 (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 6))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 3) 3)) (*.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 2) (fma.f64 x (-.f64 1/2 y) 2)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 3) (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (sqrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2))) (sqrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1) (.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))) (cbrt.f64 (+.f64 (.f64 (-.f64 1/2 y) x) 2)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (fma.f64 (-.f64 1/2 y) x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 2) (fma.f64 x (-.f64 1/2 y) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (fma.f64 (-.f64 1/2 y) x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 2) (fma.f64 x (-.f64 1/2 y) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (.f64 (-.f64 1/2 y) x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (fma.f64 (-.f64 1/2 y) x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 2) (fma.f64 x (-.f64 1/2 y) 2)))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) 1) (+.f64 1/2 y))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))
(.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y))))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y)))))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) -1)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))

localize53.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	82.0%	(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
1.0ms	y	@	inf	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
0.0ms	x	@	inf	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
0.0ms	y	@	0	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
0.0ms	x	@	-inf	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`associate-/r/`
1188×	`associate-/l/`
808×	`distribute-rgt-in`
760×	`distribute-lft-in`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	256	26
2	3711	26

Stop Event

1×	node limit

Counts

2 → 212

Calls

Call 1

Inputs
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) 1/2) (*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) y) (*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) 1/4) (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) (*.f64 y y)) (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) 1/16) (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (+.f64 1/16 (pow.f64 y 4))) (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (*.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (*.f64 y (/.f64 1 (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (*.f64 1/2 (/.f64 1 (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4)))) (*.f64 (*.f64 y y) (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y y) (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4)))) (*.f64 1/4 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/16 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6)))) (*.f64 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6)))) (*.f64 1/16 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/16 (pow.f64 y 4)) (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6)))) (*.f64 (*.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 y) (/.f64 1 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 y) (/.f64 (+.f64 1/4 (*.f64 y y)) (-.f64 1/16 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 y) (/.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 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simplify183.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

936×	`*-commutative`
834×	`+-commutative`
740×	`associate-*l/`
740×	`associate-r`
694×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	600	8316
1	2009	7486
2	7807	7486

Stop Event

1×	node limit

Counts

248 → 314

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 4 y))
(+.f64 2 (+.f64 (.f64 4 y) (.f64 8 (pow.f64 y 2))))
(+.f64 2 (+.f64 (.f64 4 y) (+.f64 (.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
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(.f64 (/.f64 x (-.f64 1/4 (.f64 y y))) (.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(.f64 (/.f64 x (-.f64 1/4 (.f64 y y))) (.f64 (-.f64 1/2 y) (-.f64 1/4 (.f64 y y))))
(.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/4 (.f64 y (-.f64 y 1/2)))))
(.f64 (.f64 -1 (-.f64 1/2 y)) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (+.f64 1/2 y)) (.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/2 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/2 y)) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (-.f64 1/2 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)) (.f64 (/.f64 (cbrt.f64 x) 1) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) 1) (-.f64 1/2 y)))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (sqrt.f64 (-.f64 1/2 y))) (*.f64 (/.f64 (cbrt.f64 x) 1) (sqrt.f64 (-.f64 1/2 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(*.f64 (/.f64 x -1) (neg.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (/.f64 x 1) (-.f64 1/4 (.f64 y y))) (.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(.f64 (/.f64 (/.f64 x 1) (-.f64 1/4 (.f64 y y))) (.f64 (-.f64 1/2 y) (-.f64 1/4 (.f64 y y))))
(*.f64 (/.f64 (/.f64 x 1) 1) (-.f64 1/2 y))
(.f64 (/.f64 (/.f64 x 1) (+.f64 1/8 (pow.f64 y 3))) (.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/4 (.f64 y (-.f64 y 1/2)))))
(.f64 (/.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
(.f64 (/.f64 x (.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(.f64 (/.f64 x (/.f64 (+.f64 1/2 y) (sqrt.f64 (-.f64 1/4 (.f64 y y))))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 x (/.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 x (neg.f64 (-.f64 -1/2 y))) (neg.f64 (+.f64 -1/4 (.f64 y y))))
(.f64 (/.f64 x (.f64 (+.f64 1/8 (pow.f64 y 3)) 1)) (.f64 (+.f64 1/4 (.f64 y (-.f64 y 1/2))) (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 1/2 y)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1/2 y))) (cbrt.f64 x))
(.f64 (/.f64 (/.f64 x (+.f64 1/2 y)) 1) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 (/.f64 x (+.f64 1/2 y)) (/.f64 1 (sqrt.f64 (-.f64 1/4 (.f64 y y))))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (/.f64 x (+.f64 1/2 y)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (/.f64 x (+.f64 1/2 y)) -1) (+.f64 -1/4 (.f64 y y)))
(*.f64 (/.f64 (neg.f64 x) -1) (-.f64 1/2 y))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 -1/2 y))) (+.f64 -1/4 (.f64 y y)))
(.f64 (/.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/16 (pow.f64 y 4))) (-.f64 1/16 (pow.f64 y 4))) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/64 (pow.f64 y 6))) (+.f64 1/16 (-.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))))
(.f64 (/.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/64 (pow.f64 y 6))) (-.f64 1/256 (.f64 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))) (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))))) (-.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/64 (pow.f64 y 6))) (+.f64 1/4096 (pow.f64 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))) 3))) (+.f64 1/256 (-.f64 (.f64 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))) (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))) (.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) 1) (/.f64 1 (+.f64 1/2 y)))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) 1) (/.f64 (+.f64 1/4 (.f64 y (-.f64 y 1/2))) (+.f64 1/8 (pow.f64 y 3))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (sqrt.f64 (-.f64 1/4 (.f64 y y)))) (/.f64 (-.f64 1/2 y) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2)) (/.f64 (-.f64 1/2 y) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/16 (pow.f64 y 4))) (.f64 (-.f64 1/2 y) (+.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/64 (pow.f64 y 6))) (.f64 (-.f64 1/2 y) (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 -1/4 (.f64 y y))) (neg.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (neg.f64 (+.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 1/4 (.f64 y (-.f64 y 1/2)))))
(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 (.f64 y y) 1/4)) (-.f64 y 1/2))
(.f64 (/.f64 (/.f64 x 1) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 (/.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (-.f64 1/4 (.f64 y y)) (cbrt.f64 (+.f64 1/2 y))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 -1/2 y)) (+.f64 -1/4 (.f64 y y)))
(.f64 (/.f64 (/.f64 x 1) (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
(.f64 (/.f64 (/.f64 x 1) (.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(.f64 (/.f64 (/.f64 x 1) (/.f64 (+.f64 1/2 y) (sqrt.f64 (-.f64 1/4 (.f64 y y))))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (/.f64 x 1) (/.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 (/.f64 x 1) -1) (neg.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 -1/2 y))) (neg.f64 (+.f64 -1/4 (.f64 y y))))
(.f64 (/.f64 (/.f64 x 1) (.f64 (+.f64 1/8 (pow.f64 y 3)) 1)) (.f64 (+.f64 1/4 (.f64 y (-.f64 y 1/2))) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (.f64 (/.f64 x 1) (sqrt.f64 (-.f64 1/2 y))) 1) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (.f64 (/.f64 x 1) (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (.f64 (/.f64 x 1) (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 -1/2 y))) (sqrt.f64 (+.f64 -1/4 (*.f64 y y))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) 1) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (-.f64 1/4 (.f64 y y))))
(.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (+.f64 -1/4 (.f64 y y))))
(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)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) -1)
(neg.f64 (*.f64 (/.f64 x -1) (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (-.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))))

Outputs
2
(+.f64 2 (*.f64 4 y))
(fma.f64 4 y 2)
(+.f64 2 (+.f64 (.f64 4 y) (.f64 8 (pow.f64 y 2))))
(+.f64 2 (fma.f64 4 y (.f64 8 (.f64 y y))))
(+.f64 (fma.f64 4 y 2) (.f64 y (.f64 y 8)))
(+.f64 2 (+.f64 (.f64 4 y) (+.f64 (.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(+.f64 2 (fma.f64 4 y (fma.f64 8 (.f64 y y) (.f64 16 (pow.f64 y 3)))))
(+.f64 (fma.f64 4 y 2) (fma.f64 16 (pow.f64 y 3) (.f64 y (.f64 y 8))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (/.f64 1/8 (pow.f64 y 4)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1/4 (pow.f64 y 3)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/8 (pow.f64 y 4)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (/.f64 1/8 (pow.f64 y 4)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1/4 (pow.f64 y 3)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/8 (pow.f64 y 4)))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) 1/2) (.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) y))
(.f64 (+.f64 y 1/2) (/.f64 1 (-.f64 1/4 (.f64 y y))))
(/.f64 (-.f64 -1/2 y) (fma.f64 y y -1/4))
(+.f64 (.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) y) (.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) 1/2))
(.f64 (+.f64 y 1/2) (/.f64 1 (-.f64 1/4 (.f64 y y))))
(/.f64 (-.f64 -1/2 y) (fma.f64 y y -1/4))
(+.f64 (.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) 1/4) (.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) (*.f64 y y)))
(.f64 (/.f64 (+.f64 y 1/2) (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (.f64 y y)))
(/.f64 (+.f64 y 1/2) (/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4)))
(+.f64 (.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) (.f64 y y)) (*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) 1/4))
(.f64 (/.f64 (+.f64 y 1/2) (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (.f64 y y)))
(/.f64 (+.f64 y 1/2) (/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4)))
(+.f64 (.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) 1/16) (.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))))
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(.f64 (/.f64 (/.f64 x 1) (/.f64 (+.f64 1/2 y) (sqrt.f64 (-.f64 1/4 (.f64 y y))))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(.f64 (/.f64 (/.f64 x 1) (/.f64 (+.f64 1/2 y) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (/.f64 (/.f64 x 1) -1) (neg.f64 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 -1/2 y))) (neg.f64 (+.f64 -1/4 (.f64 y y))))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(.f64 (/.f64 (/.f64 x 1) (.f64 (+.f64 1/8 (pow.f64 y 3)) 1)) (.f64 (+.f64 1/4 (.f64 y (-.f64 y 1/2))) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 x (+.f64 (pow.f64 y 3) 1/8)) (.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/4 (.f64 y (+.f64 y -1/2)))))
(.f64 x (.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (+.f64 (pow.f64 y 3) 1/8))))
(.f64 (/.f64 (.f64 (/.f64 x 1) (sqrt.f64 (-.f64 1/2 y))) 1) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (sqrt.f64 (-.f64 1/2 y)) (.f64 x (sqrt.f64 (-.f64 1/2 y))))
(.f64 x (.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y))))
(.f64 (/.f64 (.f64 (/.f64 x 1) (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 x (/.f64 (sqrt.f64 (+.f64 y 1/2)) (sqrt.f64 (-.f64 1/2 y)))))
(.f64 (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4)) (.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (-.f64 1/2 y))))
(.f64 (/.f64 (.f64 (/.f64 x 1) (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 -1/2 y))) (sqrt.f64 (+.f64 -1/4 (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 -1/2 y)) (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (fma.f64 y y -1/4)))
(.f64 (/.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 -1/2 y))) (sqrt.f64 (fma.f64 y y -1/4)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) 1) (cbrt.f64 (-.f64 1/2 y)))
(/.f64 (.f64 1 (.f64 x (cbrt.f64 (-.f64 1/2 y)))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2))
(/.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2))
(.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (-.f64 1/4 (.f64 y y))))
(/.f64 (.f64 (/.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (-.f64 1/4 (.f64 y y)))) (cbrt.f64 (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) (/.f64 (/.f64 x (cbrt.f64 (+.f64 y 1/2))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)))
(.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (+.f64 -1/4 (.f64 y y))))
(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 -1/2 y)) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2))) (cbrt.f64 (fma.f64 y y -1/4)))
(.f64 (/.f64 x (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (-.f64 -1/2 y)))) (cbrt.f64 (fma.f64 y y -1/4)))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) -1)
(*.f64 x (-.f64 1/2 y))
(neg.f64 (*.f64 (/.f64 x -1) (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (-.f64 1/2 y)) 3)))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))

localize26.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 31 to 26 computations (16.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1986×	`add-sqr-sqrt`
1962×	`*-un-lft-identity`
1834×	`add-cube-cbrt`
1816×	`add-cbrt-cube`
200×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	217	30
2	2473	30

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
(log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 1/2 x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (log.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (log.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-def`
808×	`+-commutative`
704×	`unswap-sqr`
660×	`times-frac`
590×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2627
1	462	2367
2	1738	2261
3	6670	2261

Stop Event

1×	node limit

Counts

85 → 116

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (log.f64 2))) (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (+.f64 (.f64 1/2 (/.f64 x (log.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 x) (log.f64 2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x))))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 0 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (log.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(-.f64 (log.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (log.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))) 1)
(*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1)
(*.f64 1 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1))
(log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(fma.f64 1/2 (/.f64 x (log.f64 2)) (log.f64 (log.f64 2)))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (log.f64 2))) (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/2 (/.f64 x (log.f64 2)) (/.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 (log.f64 2) 2))))
(fma.f64 1/2 (/.f64 x (log.f64 2)) (fma.f64 -1/8 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 2)) x) (log.f64 (log.f64 2))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (+.f64 (.f64 1/2 (/.f64 x (log.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (/.f64 x (log.f64 2)) (/.f64 (.f64 -1/8 (.f64 x x)) (pow.f64 (log.f64 2) 2)))))
(fma.f64 1/24 (pow.f64 (/.f64 x (log.f64 2)) 3) (fma.f64 1/2 (/.f64 x (log.f64 2)) (fma.f64 -1/8 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 2)) x) (log.f64 (log.f64 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2))
(+.f64 (log.f64 x) (log.f64 1/2))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log.f64 2) x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (log.f64 x) (fma.f64 2 (/.f64 (log.f64 2) x) (log.f64 1/2)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x)) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (log.f64 x) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (fma.f64 2 (/.f64 (log.f64 2) x) (log.f64 1/2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (.f64 2 (/.f64 (log.f64 2) x))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x)) (+.f64 (log.f64 1/2) (fma.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)) (.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (log.f64 x) (+.f64 (log.f64 1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x)) (fma.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)) (.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (fma.f64 2 (/.f64 (log.f64 2) x) (fma.f64 8/3 (pow.f64 (/.f64 (log.f64 2) x) 3) (log.f64 1/2))) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (.f64 2 (/.f64 (log.f64 2) x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 2 (/.f64 (log.f64 2) x)) (log.f64 -1/2)))
(-.f64 (fma.f64 2 (/.f64 (log.f64 2) x) (log.f64 -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x)) (.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) (fma.f64 2 (/.f64 (log.f64 2) x) (*.f64 (/.f64 -2 x) (/.f64 (pow.f64 (log.f64 2) 2) x))))
(-.f64 (fma.f64 2 (/.f64 (log.f64 2) x) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (log.f64 -1/2))) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (.f64 2 (/.f64 (log.f64 2) x))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x)) (fma.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)) (.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x)) (fma.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)) (.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (fma.f64 8/3 (pow.f64 (/.f64 (log.f64 2) x) 3) (.f64 2 (/.f64 (log.f64 2) x))) (-.f64 (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x x)) (log.f64 -1/2)) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(fma.f64 1/2 x (log.f64 2))
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 x) (log.f64 2))))
(/.f64 (fma.f64 (.f64 x x) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))))
(/.f64 (fma.f64 (.f64 x x) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x))))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 (.f64 x x) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (.f64 x x) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (*.f64 1/2 x) (log.f64 2)))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (fma.f64 (.f64 x x) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (fma.f64 (.f64 x x) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (.f64 x x) 1/4 (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (E.f64) (log.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(+.f64 0 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (log.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(-.f64 (log.f64 (fma.f64 (.f64 x x) 1/4 (neg.f64 (pow.f64 (log.f64 2) 2)))) (log.f64 (-.f64 (.f64 1/2 x) (log.f64 2))))
(-.f64 (log.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (log.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(-.f64 (log.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (log.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (log.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (log.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (log.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(*.f64 1 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 3))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (fma.f64 1/2 x (log.f64 2)))
(log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(log1p.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x -1)))

eval3.1s (26.5%)

Compiler: Compiled 104894 to 84281 computations (19.7% saved)

prune345.0ms (3%)

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1211	17	1228
Fresh	2	2	4
Picked	0	1	1
Done	2	8	10
Total	1215	28	1243

Accurracy

99.7%

Counts

1243 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) (*.f64 2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
	66.6%	(pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 3) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
	2.2%	(pow.f64 (exp.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
	56.4%	(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
	2.2%	(pow.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2) 1/3))) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
	67.6%	(pow.f64 (exp.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
	10.7%	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
✓	11.9%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
	26.3%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	43.8%	(/.f64 x (/.f64 -1 y))
	26.1%	(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))))
	3.3%	(/.f64 x (+.f64 2 (*.f64 4 y)))
	11.9%	(/.f64 x (.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
	26.4%	(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
	35.3%	(-.f64 (+.f64 1 (*.f64 x (neg.f64 y))) 1)
	3.3%	(-.f64 (+.f64 1 (*.f64 1/2 x)) 1)
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	57.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	6.2%	(+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (/.f64 x (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x)))) 4) 1/18)) (/.f64 (log.f64 2) (-.f64 1/2 y)))) 1)))
	11.9%	(.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 (.f64 y y) -1/4))
	11.9%	(.f64 (/.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
✓	26.4%	(*.f64 (-.f64 1/2 y) x)
✓	43.9%	(*.f64 y (neg.f64 x))
✓	3.5%	(*.f64 1/2 x)
✓	56.9%	(log.f64 2)
	2.4%	(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)))))
✓	56.4%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))

Compiler

Compiled 509 to 400 computations (21.4% saved)

regimes81.0ms (0.7%)

Counts

35 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (+.f64 1 (*.f64 1/2 x)) 1)
(/.f64 x (+.f64 2 (*.f64 4 y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (neg.f64 y))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 (.f64 y y) -1/4))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
(/.f64 x (.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (log.f64 x) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) (*.f64 2 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(pow.f64 (exp.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 3) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (exp.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2) 1/3))) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (exp.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (/.f64 x (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x)))) 4) 1/18)) (/.f64 (log.f64 2) (-.f64 1/2 y)))) 1)))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

3 calls:

36.0ms	y
17.0ms	x
10.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 552 to 402 computations (27.2% saved)

regimes50.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (+.f64 1 (*.f64 1/2 x)) 1)
(/.f64 x (+.f64 2 (*.f64 4 y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (neg.f64 y))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 (.f64 y y) -1/4))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
(/.f64 x (.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))

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

Calls

2 calls:

32.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
99.2%	2	`x`
89.8%	1	`y`

Compiler

Compiled 207 to 132 computations (36.2% saved)

bsearch44.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-34843287317873.61	-1345074893.6664817

Results

17.0ms	69×	body	256	valid
16.0ms	33×	body	1024	valid
7.0ms	25×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 176 to 132 computations (25% saved)

regimes52.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (+.f64 1 (*.f64 1/2 x)) 1)
(/.f64 x (+.f64 2 (*.f64 4 y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (neg.f64 y))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 (.f64 y y) -1/4))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
(/.f64 x (.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))

Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))

Calls

2 calls:

24.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
98.8%	2	`x`
89.8%	1	`y`

Compiler

Compiled 197 to 126 computations (36% saved)

bsearch54.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
53.0ms	-34843287317873.61	-1345074893.6664817

Results

24.0ms	62×	body	256	valid
19.0ms	38×	body	1024	valid
7.0ms	27×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 144 to 108 computations (25% saved)

regimes93.0ms (0.8%)

Counts

20 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (+.f64 1 (*.f64 1/2 x)) 1)
(/.f64 x (+.f64 2 (*.f64 4 y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (neg.f64 y))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 (.f64 y y) -1/4))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
(/.f64 x (.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))

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

Calls

2 calls:

67.0ms	y
20.0ms	x

Results

Accuracy	Segments	Branch
82.4%	2	`x`
72.6%	5	`y`

Compiler

Compiled 191 to 122 computations (36.1% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.1419290216863253e-34	-1.6280390279116913e-35

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 112 to 90 computations (19.6% saved)

regimes99.0ms (0.8%)

Counts

19 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (+.f64 1 (*.f64 1/2 x)) 1)
(/.f64 x (+.f64 2 (*.f64 4 y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (neg.f64 y))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 (.f64 y y) -1/4))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
(/.f64 x (.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(log.f64 2)

Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)

Calls

2 calls:

67.0ms	y
28.0ms	x

Results

Accuracy	Segments	Branch
82.1%	2	`x`
72.1%	5	`y`

Compiler

Compiled 185 to 117 computations (36.8% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-1.1419290216863253e-34	-1.6280390279116913e-35

Results

15.0ms

96×

body

256

valid

Compiler

Compiled 88 to 72 computations (18.2% saved)

regimes25.0ms (0.2%)

Accuracy

Total -27.0b remaining (-75.1%)

Threshold costs -27b (-75.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (+.f64 1 (*.f64 1/2 x)) 1)
(/.f64 x (+.f64 2 (*.f64 4 y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(-.f64 (+.f64 1 (*.f64 x (neg.f64 y))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 (.f64 y y) -1/4))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y))))) (-.f64 1/2 y))
(/.f64 x (.f64 (/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 1/2 y))) (/.f64 1 (-.f64 1/4 (*.f64 y y)))))

Outputs
(*.f64 y (neg.f64 x))

Calls

2 calls:

12.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
43.9%	1	`x`
43.9%	1	`y`

Compiler

Compiled 183 to 115 computations (37.2% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
12×	`*-commutative`
8×	`cancel-sign-sub-inv`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	187
1	43	187
2	53	187
3	58	187
4	61	187
5	62	187

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -1400000000) (.f64 y (neg.f64 x)) (-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -1400000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4442964977485945/46768052394588893382517914646921056628989841375232) (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -2572242881702389/23384026197294446691258957323460528314494920687616) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -1400000000) (.f64 y (neg.f64 x)) (-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -1400000000) (.f64 y (neg.f64 x)) (-.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -1400000000) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -1400000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1400000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4442964977485945/46768052394588893382517914646921056628989841375232) (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -4442964977485945/46768052394588893382517914646921056628989841375232) (.f64 y (neg.f64 x)) (+.f64 (.f64 x 1/2) (log.f64 2)))
(if (<=.f64 x -4442964977485945/46768052394588893382517914646921056628989841375232) (.f64 x (neg.f64 y)) (+.f64 (.f64 x 1/2) (log.f64 2)))
(if (<=.f64 x -2572242881702389/23384026197294446691258957323460528314494920687616) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -2572242881702389/23384026197294446691258957323460528314494920687616) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 84 to 60 computations (28.6% saved)

soundness196.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-l`
912×	`associate-/r*`
776×	`fma-def`
728×	`associate-/l*`
628×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	51	21
4	69	21
5	113	21
6	188	21
7	238	21
8	329	21
9	490	21
10	544	21
11	571	21
12	650	21
13	931	21
14	1815	21
15	5167	21
16	6110	21

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end41.0ms (0.3%)

Compiler: Compiled 72 to 38 computations (47.2% saved)

Details

analyze129.0ms (1.1%)

sample3.8s (32.6%)

preprocess98.0ms (0.8%)

simplify77.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series44.0ms (0.4%)

rewrite45.0ms (0.4%)

simplify59.0ms (0.5%)

eval8.0ms (0.1%)

prune12.0ms (0.1%)

localize9.0ms (0.1%)

localize14.0ms (0.1%)

series6.0ms (0.1%)

rewrite90.0ms (0.8%)

simplify139.0ms (1.2%)

eval115.0ms (1%)

prune39.0ms (0.3%)

localize25.0ms (0.2%)

series4.0ms (0%)

rewrite129.0ms (1.1%)

simplify259.0ms (2.2%)

localize4.0ms (0%)

localize5.0ms (0%)

series2.0ms (0%)

rewrite60.0ms (0.5%)

simplify56.0ms (0.5%)

localize3.0ms (0%)

localize9.0ms (0.1%)

eval325.0ms (2.8%)

prune87.0ms (0.7%)

localize74.0ms (0.6%)

series185.0ms (1.6%)

rewrite111.0ms (1%)

simplify640.0ms (5.5%)

localize3.0ms (0%)

localize23.0ms (0.2%)

series1.0ms (0%)

rewrite79.0ms (0.7%)

simplify140.0ms (1.2%)

localize53.0ms (0.5%)

series4.0ms (0%)

rewrite93.0ms (0.8%)

simplify183.0ms (1.6%)

localize26.0ms (0.2%)

series1.0ms (0%)

rewrite74.0ms (0.6%)

simplify97.0ms (0.8%)

eval3.1s (26.5%)

prune345.0ms (3%)

regimes81.0ms (0.7%)

regimes50.0ms (0.4%)

bsearch44.0ms (0.4%)

regimes52.0ms (0.4%)

bsearch54.0ms (0.5%)

regimes93.0ms (0.8%)

bsearch13.0ms (0.1%)

regimes99.0ms (0.8%)

bsearch17.0ms (0.1%)

regimes25.0ms (0.2%)

simplify14.0ms (0.1%)

soundness196.0ms (1.7%)

end41.0ms (0.3%)

Profiling