Details

analyze133.0ms (1.3%)

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)

sample3.4s (34.8%)

Results

2.2s	2583×	body	8192	exit
1.1s	7746×	body	256	valid
108.0ms	232×	body	1024	valid
80.0ms	276×	body	512	valid
21.0ms	155×	body	256	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess82.0ms (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 (0.8%)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series78.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
54.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
23.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite50.0ms (0.5%)

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

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

952×	`associate-r`
926×	`+-commutative`
836×	`associate-l`
764×	`swap-sqr`
710×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	374
1	173	374
2	493	374
3	2688	374
4	5296	374

Stop Event

1×	node limit

Counts

36 → 34

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))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (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 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (.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 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (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 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) 1/3)
(sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))
(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 1/2 x (fma.f64 x (*.f64 x 1/8) (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))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (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)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (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 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (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 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (.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 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(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 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) 1/3)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))
(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))

eval7.0ms (0.1%)

Compiler: Compiled 563 to 169 computations (70% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Error

0.2b

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.6b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	4.4b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
2.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (log.f64 2) (*.f64 x y))

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`add-sqr-sqrt`
1908×	`*-un-lft-identity`
1780×	`add-cube-cbrt`
1762×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	2403	17

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x y))

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

Outputs

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

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/r/`
1258×	`associate-+l+`
982×	`fma-def`
794×	`associate--r+`
644×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	1401
1	291	1351
2	1289	1351
3	5445	1351

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	0.0b	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 27

Calls

9 calls:

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

rewrite112.0ms (1.1%)

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	38
1	263	38
2	3520	38

Stop Event

1×	node limit

Counts

2 → 266

Calls

Call 1

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

Outputs

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

simplify213.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-l`
940×	`associate-r`
928×	`associate-/l*`
598×	`+-commutative`
574×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	655	19437
1	1939	17857

Stop Event

1×	node limit

Counts

293 → 400

Calls

Call 1

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

Outputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 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 (-.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 (.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 (.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 (exp.f64 (log1p.f64 (*.f64 1/2 x))) (-.f64 1 (log.f64 2)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) -1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(fma.f64 1/2 x (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 1/2 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 1/2 x))
(+.f64 -1 (fma.f64 1/2 x (exp.f64 (log1p.f64 (log.f64 2)))))
(-.f64 (/.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (-.f64 (.f64 1/2 x) (log.f64 2))) (/.f64 (.f64 (log.f64 2) (log.f64 2)) (-.f64 (.f64 1/2 x) (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 1/2 x))
(+.f64 -1 (fma.f64 1/2 x (exp.f64 (log1p.f64 (log.f64 2)))))
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 1/2 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) -1))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
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eval264.0ms (2.7%)

Compiler: Compiled 14504 to 9004 computations (37.9% saved)

prune85.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	443	7	450
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	444	9	453

Error

0.2b

Counts

453 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.9b	(-.f64 (/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 1/4 (.f64 x x))) (+.f64 (log.f64 2) (.f64 -1/2 x))) (*.f64 x y))
▶	43.8b	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	4.4b	(-.f64 (log.f64 2) (*.f64 x y))
	16.0b	(-.f64 (expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 x y))
	25.8b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	43.8b	(*.f64 (-.f64 1/2 y) x)
▶	36.8b	(*.f64 (neg.f64 x) y)
▶	26.2b	(log.f64 2)

Compiler

Compiled 159 to 122 computations (23.3% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 2) (*.f64 -1/2 x))
✓	0.0b	(-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 1/4 (*.f64 x x)))
✓	1.0b	(*.f64 (log.f64 2) (log.f64 2))
✓	4.7b	(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 1/4 (.f64 x x))) (+.f64 (log.f64 2) (.f64 -1/2 x)))

Compiler

Compiled 85 to 60 computations (29.4% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite177.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`distribute-lft-in`
566×	`associate-+l+`
342×	`add-sqr-sqrt`
328×	`pow1`
328×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	142
1	336	56
2	4894	56

Stop Event

1×	node limit

Counts

4 → 578

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (.f64 (neg.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (.f64 -1 (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (.f64 (neg.f64 (sqrt.f64 (.f64 x -1/2))) (sqrt.f64 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (.f64 (neg.f64 (cbrt.f64 (.f64 1/4 (.f64 x x)))) (cbrt.f64 (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (.f64 x -1/2) (fma.f64 1/2 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (neg.f64 (.f64 x -1/2)) (fma.f64 1/2 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (.f64 (neg.f64 x) -1/2) (fma.f64 1/2 x (.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) 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2)) (cbrt.f64 (log.f64 2)) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (.f64 x -1/2)) (log.f64 2))))))

simplify255.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1396×	`+-commutative`
1190×	`associate-+l+`
1116×	`associate-+r+`
1108×	`associate-/r*`
822×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1028	34298
1	3180	33626

Stop Event

1×	node limit

Counts

614 → 712

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

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

localize4.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.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	y	@	0	(*.f64 (-.f64 1/2 y) x)
0.0ms	y	@	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)

rewrite54.0ms (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 (*.f64 y 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 (*.f64 y 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 (*.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (*.f64 (-.f64 1/2 y) x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (*.f64 (-.f64 1/2 y) x)))))) (#(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)))))))

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1204×	`fma-def`
868×	`+-commutative`
864×	`associate-r`
730×	`associate-l`
596×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	476
1	148	468
2	474	468
3	2677	468
4	5813	468

Stop Event

1×	node limit

Counts

30 → 30

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 1/2 x) (.f64 x y))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`add-sqr-sqrt`
1928×	`*-un-lft-identity`
1802×	`add-cube-cbrt`
1786×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	179	13
2	2391	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

878×	`associate-/l*`
850×	`times-frac`
666×	`fma-neg`
612×	`*-commutative`
588×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1577
1	385	1425
2	1789	1317

Stop Event

1×	node limit

Counts

75 → 65

Calls

Call 1

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

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

localize4.0ms (0%)

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

eval616.0ms (6.2%)

Compiler: Compiled 27330 to 18417 computations (32.6% saved)

prune264.0ms (2.7%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	798	9	807
Fresh	1	1	2
Picked	0	1	1
Done	1	5	6
Total	800	16	816

Error

0.2b

Counts

816 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	53.8b	(/.f64 (-.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (.f64 1/2 x) (.f64 x y)))
▶	53.8b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	56.0b	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
	53.8b	(/.f64 1 (/.f64 (+.f64 (.f64 1/2 x) (.f64 x y)) (-.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (.f64 (.f64 x y) (.f64 x y)))))
	45.3b	(-.f64 (/.f64 (.f64 x (.f64 x -1/4)) (+.f64 (log.f64 2) (.f64 -1/2 x))) (.f64 x y))
	44.0b	(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
✓	43.8b	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	4.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	25.8b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	53.8b	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
▶	53.8b	(.f64 (-.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (.f64 (.f64 x y) (.f64 x y))) (/.f64 1 (+.f64 (.f64 1/2 x) (*.f64 x y))))
✓	43.8b	(*.f64 (-.f64 1/2 y) x)
✓	36.8b	(*.f64 (neg.f64 x) y)
▶	61.7b	(*.f64 1/2 x)
✓	26.2b	(log.f64 2)

Compiler

Compiled 363 to 243 computations (33.1% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize4.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 1/2 y))
✓	15.5b	(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite111.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`associate-/r*`
1054×	`associate-/l*`
832×	`distribute-rgt-in`
780×	`distribute-lft-in`
772×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	250	32
2	3452	26

Stop Event

1×	node limit

Counts

2 → 244

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 (neg.f64 (*.f64 y y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (neg.f64 (*.f64 y y))) (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) 1) (/.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4)) (*.f64 1 (*.f64 (/.f64 x (+.f64 1/2 y)) (neg.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 1 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x 1) 1/2) (*.f64 (/.f64 x 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/4 (*.f64 y y)))) 1/2) (*.f64 (/.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/4 (*.f64 y y)))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y)))) 1/4) (*.f64 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y)))) (-.f64 (*.f64 y y) (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y)))) (-.f64 (*.f64 y y) (*.f64 1/2 y))) (*.f64 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) 1) (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (neg.f64 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 x 1)) (*.f64 (neg.f64 y) (/.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/4 (*.f64 y y))))) (*.f64 (neg.f64 y) (/.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y))))) (*.f64 (-.f64 (*.f64 y y) (*.f64 1/2 y)) (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 1/2 y)) (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y))))) (*.f64 1/4 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (+.f64 1/2 y) (+.f64 1/4 (*.f64 y y))) (-.f64 1/16 (*.f64 (*.f64 y y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 (+.f64 1/2 y) (+.f64 1/16 (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1/4 (*.f64 y y))))) (-.f64 1/64 (pow.f64 (*.f64 y y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 1/2 y)) (/.f64 1 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y))) 1)))) 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egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1/2 y))))))))

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1374×	`associate-/l*`
1004×	`associate-r`
976×	`associate-/l/`
846×	`associate-l`
810×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	695	14072
1	2095	13466

Stop Event

1×	node limit

Counts

280 → 415

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1/2 y) x)
✓	16.0b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`associate-/l/`
728×	`distribute-rgt-in`
680×	`distribute-lft-in`
568×	`distribute-lft-neg-in`
516×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	259	26
2	3833	26

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

986×	`unswap-sqr`
540×	`associate-/r*`
470×	`distribute-lft-neg-out`
426×	`associate-r`
424×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	259	3364
1	720	3016
2	3539	3016

Stop Event

1×	node limit

Counts

138 → 125

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

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 (.f64 1/2 x) (.f64 x y)))
✓	0.2b	(.f64 (.f64 x y) (*.f64 x y))
✓	2.2b	(-.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (.f64 (.f64 x y) (.f64 x y)))
✓	27.8b	(.f64 (-.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (.f64 (.f64 x y) (.f64 x y))) (/.f64 1 (+.f64 (.f64 1/2 x) (*.f64 x y))))

Compiler

Compiled 82 to 39 computations (52.4% saved)

series8.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite228.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1760×	`associate-/r*`
1496×	`associate-/l*`
592×	`associate-+l+`
324×	`add-sqr-sqrt`
312×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	320	76
2	4617	76

Stop Event

1×	node limit

Counts

4 → 534

Calls

Call 1

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

Outputs
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simplify366.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-r`
1286×	`associate-+r+`
1076×	`associate-l`
1036×	`+-commutative`
732×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1214	53122
1	3444	50852

Stop Event

1×	node limit

Counts

630 → 859

Calls

Call 1

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

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

eval797.0ms (8%)

Compiler: Compiled 53796 to 28739 computations (46.6% saved)

prune454.0ms (4.6%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1512	23	1535
Fresh	2	3	5
Picked	1	0	1
Done	3	7	10
Total	1518	33	1551

Error

0.2b

Counts

1551 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(/.f64 (-.f64 1/2 y) (/.f64 1 x))
	54.0b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
	61.9b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
	53.8b	(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 (/.f64 y x) (/.f64 1/2 x)))
	56.0b	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))
	53.8b	(/.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y))))
	43.8b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	53.8b	(/.f64 1 (.f64 (/.f64 (+.f64 1/2 y) x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
	45.3b	(-.f64 (/.f64 (.f64 x (.f64 x -1/4)) (+.f64 (log.f64 2) (.f64 -1/2 x))) (.f64 x y))
	44.0b	(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	4.4b	(-.f64 (log.f64 2) (*.f64 x y))
✓	25.8b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	43.8b	(.f64 (/.f64 (.f64 (/.f64 x (-.f64 (.f64 x 1/2) (.f64 y x))) (-.f64 1/2 y)) 1) (-.f64 (.f64 x 1/2) (.f64 y x)))
	54.0b	(.f64 (/.f64 x y) (-.f64 1/4 (.f64 y y)))
	53.8b	(.f64 (/.f64 1 (/.f64 (+.f64 y 1/2) x)) (-.f64 1/4 (.f64 y y)))
	56.1b	(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
	62.0b	(.f64 (-.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (.f64 (.f64 x y) (*.f64 x y))) (/.f64 2 x))
	54.5b	(.f64 (-.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (.f64 (.f64 x y) (.f64 x y))) (/.f64 1 (.f64 y x)))
	62.5b	(.f64 (-.f64 (.f64 (.f64 1/2 x) (.f64 1/2 x)) (.f64 (.f64 x y) (.f64 x y))) (+.f64 (/.f64 2 x) (/.f64 (.f64 y -4) x)))
✓	43.8b	(*.f64 (-.f64 1/2 y) x)
	54.4b	(.f64 (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 (/.f64 x y) y))) (-.f64 1/4 (*.f64 y y)))
	54.6b	(.f64 (+.f64 (/.f64 x y) (.f64 -1/2 (/.f64 x (.f64 y y)))) (-.f64 1/4 (.f64 y y)))
	62.2b	(.f64 (+.f64 (.f64 2 x) (.f64 -4 (.f64 y x))) (-.f64 1/4 (*.f64 y y)))
	43.8b	(.f64 (+.f64 y 1/2) (/.f64 x (.f64 (+.f64 y 1/2) (/.f64 x (-.f64 (.f64 x 1/2) (.f64 y x))))))
	54.1b	(.f64 (.f64 (/.f64 x (-.f64 (.f64 y y) 1/4)) (-.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
	53.8b	(.f64 (.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
	61.9b	(.f64 (.f64 2 x) (-.f64 1/4 (*.f64 y y)))
	62.1b	(.f64 (.f64 1/4 (.f64 x x)) (/.f64 1 (+.f64 (.f64 1/2 x) (*.f64 x y))))
✓	36.8b	(*.f64 (neg.f64 x) y)
	53.8b	(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
✓	61.7b	(*.f64 1/2 x)
✓	26.2b	(log.f64 2)

Compiler

Compiled 466 to 321 computations (31.1% saved)

regimes68.0ms (0.7%)

Counts

43 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
20.0ms	x
12.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 573 to 320 computations (44.2% saved)

regimes70.0ms (0.7%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	x
19.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
4.4b	1	`y`

Compiler

Compiled 513 to 283 computations (44.8% saved)

bsearch52.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
52.0ms	-8158794745428195.0	-897064526.0676479

Results

24.0ms	85×	body	256	valid
20.0ms	44×	body	1024	valid
4.0ms	14×	body	512	valid
1.0ms	1×	body	2048	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 196 to 147 computations (25% saved)

regimes60.0ms (0.6%)

Counts

37 → 2

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	x
17.0ms	y

Results

Error	Segments	Branch
0.8b	2	`x`
4.4b	1	`y`

Compiler

Compiled 487 to 267 computations (45.2% saved)

bsearch39.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	-8158794745428195.0	-897064526.0676479

Results

18.0ms	38×	body	1024	valid
12.0ms	84×	body	256	valid
5.0ms	21×	body	512	valid
1.0ms	1×	body	2048	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

regimes130.0ms (1.3%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

2 calls:

63.0ms	y
56.0ms	x

Results

Error	Segments	Branch
8.6b	3	`x`
15.7b	3	`y`

Compiler

Compiled 481 to 264 computations (45.1% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	9.650878044474087e-40	4.2762563541004904e-39
21.0ms	-5.63670584196505e-25	-3.6424479596029384e-37

Results

31.0ms

256×

body

256

valid

Compiler

Compiled 278 to 226 computations (18.7% saved)

regimes122.0ms (1.2%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

2 calls:

56.0ms	y
55.0ms	x

Results

Error	Segments	Branch
8.6b	3	`x`
16.1b	3	`y`

Compiler

Compiled 475 to 259 computations (45.5% saved)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	9.650878044474087e-40	4.2762563541004904e-39
21.0ms	-5.63670584196505e-25	-3.6424479596029384e-37

Results

30.0ms

256×

body

256

valid

Compiler

Compiled 214 to 178 computations (16.8% saved)

regimes40.0ms (0.4%)

Accuracy

Total -26.8b remaining (-72.8%)

Threshold costs -26.8b (-72.8%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
15.0ms	x

Results

Error	Segments	Branch
36.8b	1	`x`
36.8b	1	`y`

Compiler

Compiled 473 to 257 computations (45.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	231
1	54	231
2	66	231
3	71	231
4	73	231

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -900000000) (.f64 (neg.f64 x) y) (-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -900000000) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6565339386447415/713623846352979940529142984724747568191373312) (.f64 (neg.f64 x) y) (if (<=.f64 x 6129982163463555/1532495540865888858358347027150309183618739122183602176) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -7650047632903945/22835963083295358096932575511191922182123945984) (.f64 (neg.f64 x) y) (if (<=.f64 x 98175495586721/23945242826029513411849172299223580994042798784118784) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 (neg.f64 x) y)
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -900000000) (.f64 (neg.f64 x) y) (-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -900000000) (.f64 y (neg.f64 x)) (-.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -900000000) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -900000000) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -900000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -900000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6565339386447415/713623846352979940529142984724747568191373312) (.f64 (neg.f64 x) y) (if (<=.f64 x 6129982163463555/1532495540865888858358347027150309183618739122183602176) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -6565339386447415/713623846352979940529142984724747568191373312) (.f64 y (neg.f64 x)) (if (<=.f64 x 6129982163463555/1532495540865888858358347027150309183618739122183602176) (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6565339386447415/713623846352979940529142984724747568191373312) (.f64 x (neg.f64 y)) (if (<=.f64 x 6129982163463555/1532495540865888858358347027150309183618739122183602176) (+.f64 (.f64 x 1/2) (log.f64 2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7650047632903945/22835963083295358096932575511191922182123945984) (.f64 (neg.f64 x) y) (if (<=.f64 x 98175495586721/23945242826029513411849172299223580994042798784118784) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -7650047632903945/22835963083295358096932575511191922182123945984) (.f64 y (neg.f64 x)) (if (<=.f64 x 98175495586721/23945242826029513411849172299223580994042798784118784) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7650047632903945/22835963083295358096932575511191922182123945984) (.f64 x (neg.f64 y)) (if (<=.f64 x 98175495586721/23945242826029513411849172299223580994042798784118784) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 102 to 72 computations (29.4% saved)

soundness467.0ms (4.7%)

Algorithm

3×	egg-herbie

Rules

1478×	`associate-/r/`
1258×	`associate-+l+`
1042×	`associate-l`
1042×	`associate-l`
982×	`fma-def`

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
0	112	1401
1	291	1351
2	1289	1351
3	5445	1351
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
1×	node limit
1×	node limit

Compiler

Compiled 56 to 31 computations (44.6% saved)

end51.0ms (0.5%)

Compiler: Compiled 90 to 50 computations (44.4% saved)

Details

analyze133.0ms (1.3%)

sample3.4s (34.8%)

preprocess82.0ms (0.8%)

simplify77.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series78.0ms (0.8%)

rewrite50.0ms (0.5%)

simplify67.0ms (0.7%)

eval7.0ms (0.1%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite64.0ms (0.6%)

simplify96.0ms (1%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite112.0ms (1.1%)

simplify213.0ms (2.2%)

eval264.0ms (2.7%)

prune85.0ms (0.9%)

localize42.0ms (0.4%)

series3.0ms (0%)

rewrite177.0ms (1.8%)

simplify255.0ms (2.6%)

localize4.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite54.0ms (0.5%)

simplify68.0ms (0.7%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite61.0ms (0.6%)

simplify53.0ms (0.5%)

localize4.0ms (0%)

eval616.0ms (6.2%)

prune264.0ms (2.7%)

localize9.0ms (0.1%)

localize4.0ms (0%)

localize13.0ms (0.1%)

series5.0ms (0%)

rewrite111.0ms (1.1%)

simplify112.0ms (1.1%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite78.0ms (0.8%)

simplify69.0ms (0.7%)

localize25.0ms (0.3%)

series8.0ms (0.1%)

rewrite228.0ms (2.3%)

simplify366.0ms (3.7%)

eval797.0ms (8%)

prune454.0ms (4.6%)

regimes68.0ms (0.7%)

regimes70.0ms (0.7%)

bsearch52.0ms (0.5%)

regimes60.0ms (0.6%)

bsearch39.0ms (0.4%)

regimes130.0ms (1.3%)

bsearch34.0ms (0.3%)

regimes122.0ms (1.2%)

bsearch33.0ms (0.3%)

regimes40.0ms (0.4%)

simplify9.0ms (0.1%)

soundness467.0ms (4.7%)

end51.0ms (0.5%)

Profiling