Details

analyze134.0ms (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 (32.1%)

Results

2.1s	2397×	body	8192	exit
1.1s	7746×	body	256	valid
111.0ms	225×	body	1024	valid
82.0ms	283×	body	512	valid
67.0ms	148×	body	256	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess93.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

98.8%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.9%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series110.0ms (1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
56.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
48.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
4.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1798×	`add-cube-cbrt`
1778×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	187	30
2	2428	30

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

Outputs

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

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

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1014×	`+-commutative`
776×	`unswap-sqr`
590×	`*-commutative`
564×	`times-frac`
560×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	2193
1	396	2073
2	1955	2073
3	7844	2073

Stop Event

1×	node limit

Counts

91 → 80

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

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

eval51.0ms (0.5%)

Compiler: Compiled 1130 to 411 computations (63.6% saved)

prune12.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Accurracy

99.7%

Counts

81 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.1%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	79.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	48.8%	(*.f64 x (neg.f64 y))

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize4.0ms (0%)

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

localize14.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series6.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`*-commutative`
898×	`associate-*r/`
732×	`associate-*l/`
606×	`swap-sqr`
572×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	238	32
2	3046	32

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

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

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

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1094×	`associate-/l/`
968×	`associate-/r/`
556×	`associate-/l*`
512×	`+-commutative`
466×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	7606
1	969	6680
2	4203	6680

Stop Event

1×	node limit

Counts

148 → 201

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.5%)

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

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

922×	`fma-def`
890×	`associate-/l/`
846×	`associate-+l+`
832×	`*-commutative`
630×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	1563
1	307	1443
2	1343	1443
3	4684	1443

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

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

localize11.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`*-commutative`
640×	`unswap-sqr`
518×	`swap-sqr`
414×	`associate-*r/`
392×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	226	19
2	2667	19

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate-/l*`
1004×	`associate-/r*`
938×	`associate-+r+`
888×	`associate-+l+`
778×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	2667
1	280	2095
2	1008	2067
3	3779	2067

Stop Event

1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
(+.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))))
(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 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 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/6))
(/.f64 1 (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3))) (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) 1) (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (.f64 2 (exp.f64 (.f64 (-.f64 1/2 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

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

eval467.0ms (4.4%)

Compiler: Compiled 7492 to 5860 computations (21.8% saved)

prune83.0ms (0.8%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	308	7	315
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	308	12	320

Accurracy

99.7%

Counts

320 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.1%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	65.7%	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
✓	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
	62.1%	(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
✓	79.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	52.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	39.8%	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶	29.5%	(*.f64 (-.f64 1/2 y) x)
✓	48.8%	(*.f64 x (neg.f64 y))
▶	34.2%	(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
▶	51.9%	(log.f64 2)

Compiler

Compiled 256 to 211 computations (17.6% saved)

localize137.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.0%	(/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
✓	98.4%	(pow.f64 (log.f64 2) 2)
✓	90.8%	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
✓	78.9%	(cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))

Compiler

Compiled 159 to 130 computations (18.2% saved)

series27.0ms (0.3%)

Counts

4 → 40

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
4.0ms	y	@	0	(/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
3.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
2.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
2.0ms	x	@	0	(cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`associate-/l/`
428×	`add-sqr-sqrt`
416×	`*-un-lft-identity`
410×	`pow1`
398×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	234
1	413	132
2	6042	122

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify167.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1172×	`+-commutative`
1026×	`associate-r`
1010×	`associate-+r+`
750×	`associate-l`
650×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	15240
1	1603	14702
2	7494	14702

Stop Event

1×	node limit

Counts

178 → 266

Calls

Call 1

Inputs
(pow.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 1/3)
(+.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/9) (*.f64 y (pow.f64 x 2)))))
(+.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/9) (.f64 y (pow.f64 x 2)))) (.f64 1/3 (.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1/9) (pow.f64 x 4)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/3)))))
(+.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/3) (pow.f64 x 6))) (.f64 -2/3 (.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1/9) (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 5)) 1/9))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/9) (.f64 y (pow.f64 x 2)))) (.f64 1/3 (.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1/9) (pow.f64 x 4)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/3))))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (cbrt.f64 -1))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (/.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 1/2 y) 6) (.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (cbrt.f64 -1) 6)))) (.f64 -2/9 (/.f64 (pow.f64 (-.f64 1/2 y) 6) (.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (cbrt.f64 -1) 6)))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (cbrt.f64 -1)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 1/2 x) (log.f64 2)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 y (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2)))))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 x) (log.f64 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2)))) x) (-.f64 (.f64 1/2 x) (log.f64 2))))) (pow.f64 y 2)) (.f64 y (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2)))) x) (-.f64 (.f64 1/2 x) (log.f64 2))))) (.f64 (pow.f64 y 3) x)) (-.f64 (.f64 1/2 x) (log.f64 2))) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2)))) x) (-.f64 (.f64 1/2 x) (log.f64 2))))) (pow.f64 y 2)) (.f64 y (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2)))))))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 x) (log.f64 2))))
(.f64 -1 (.f64 y x))
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(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))

Outputs
(pow.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 1/3)
(cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(+.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/9) (*.f64 y (pow.f64 x 2)))))
(+.f64 (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18)) (.f64 (*.f64 x x) y))))
(fma.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18))) (.f64 x (.f64 x y)) (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/9) (.f64 y (pow.f64 x 2)))) (.f64 1/3 (.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1/9) (pow.f64 x 4)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/3)))))
(+.f64 (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18)) (.f64 (.f64 x x) y)) (.f64 1/3 (.f64 (+.f64 (.f64 x x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18) (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18)) (pow.f64 x 4)))) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2))))))))
(+.f64 (fma.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18))) (.f64 x (.f64 x y)) (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))) (.f64 (fma.f64 x x (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18) (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18))) (pow.f64 x 4))) (.f64 (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) 2))))) 1/3)))
(+.f64 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/3) (pow.f64 x 6))) (.f64 -2/3 (.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1/9) (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 5)) 1/9))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/9) (.f64 y (pow.f64 x 2)))) (.f64 1/3 (.f64 (.f64 (-.f64 (pow.f64 x 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1/9) (pow.f64 x 4)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) 2)) 1/3))))))
(+.f64 (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2))) (pow.f64 y 3)) (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2))) (pow.f64 x 6)) (.f64 -2/3 (.f64 (+.f64 (.f64 x x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18) (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18)) (pow.f64 x 4)))) (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 5)) 1/18))))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18)) (.f64 (.f64 x x) y)) (.f64 1/3 (.f64 (+.f64 (.f64 x x) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18) (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18)) (pow.f64 x 4)))) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)))))))))
(+.f64 (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2))) (pow.f64 x 6)) (.f64 (fma.f64 x x (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18) (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18))) (pow.f64 x 4))) (.f64 (.f64 x (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 5)) 1/18)))) -2/3))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2))))) (fma.f64 1/3 (.f64 (fma.f64 x x (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18) (pow.f64 (/.f64 1 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 1/18))) (pow.f64 x 4))) (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)))))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) 2)) 1/18)) (.f64 (.f64 x (.f64 x y)) -1/3)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 -1)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 -1)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (cbrt.f64 -1))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 10))) (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (-.f64 1/2 y) 4)) (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 -1))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 10))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 4) (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 -1))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (/.f64 (.f64 (pow.f64 x 6) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (-.f64 1/2 y) 6) (.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (cbrt.f64 -1) 6)))) (.f64 -2/9 (/.f64 (pow.f64 (-.f64 1/2 y) 6) (.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (cbrt.f64 -1) 6)))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (cbrt.f64 -1)))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 10))) (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (-.f64 1/2 y) 4)) (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 x x)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 6) (.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (cbrt.f64 -1) 6))) -5/27)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 -1)))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 10))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 4) (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 6) (pow.f64 (log.f64 2) 4)) (.f64 -5/27 (pow.f64 x 6))))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 -1)))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 1/2 x) (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)))
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(-.f64 (fma.f64 1/4 (/.f64 (.f64 x x) (-.f64 (.f64 x 1/2) (log.f64 2))) (.f64 y (.f64 -1 (-.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x 1/2) (log.f64 2))) (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 (pow.f64 (-.f64 (.f64 x 1/2) (log.f64 2)) 2) x)))))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 x 1/2) (log.f64 2))))
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(+.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x 1/2) (log.f64 2))) (.f64 y (fma.f64 -1 (/.f64 (.f64 x x) (-.f64 (.f64 x 1/2) (log.f64 2))) (/.f64 x (/.f64 (pow.f64 (-.f64 (.f64 x 1/2) (log.f64 2)) 2) (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)))))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2)))) x) (-.f64 (.f64 1/2 x) (log.f64 2))))) (pow.f64 y 2)) (.f64 y (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2))))))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
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(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(.f64 (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(.f64 (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))
(.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(.f64 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1/6)) (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1/6)))
(.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 2)))) (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 2)))) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 2))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 2)))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 2)))) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 2) (/.f64 1 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 2) (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1/6)) (/.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1/6)))
(.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))) 2) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 2)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 3)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) -1)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(neg.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (neg.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))
(.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (/.f64 1 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))
(fabs.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 3) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 3) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 3) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

localize6.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1692×	`add-cbrt-cube`
182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2282	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-r`
1134×	`associate-/r*`
1022×	`associate-l`
686×	`associate-+r+`
560×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1074
1	237	1044
2	812	976
3	4402	976

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
✓	100.0%	(exp.f64 (-.f64 1/2 y))
✓	99.5%	(pow.f64 (exp.f64 (-.f64 1/2 y)) x)

Compiler

Compiled 36 to 26 computations (27.8% saved)

series179.0ms (1.7%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
83.0ms	x	@	-inf	(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
35.0ms	y	@	inf	(pow.f64 (exp.f64 (-.f64 1/2 y)) x)
17.0ms	y	@	-inf	(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
14.0ms	x	@	inf	(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
14.0ms	y	@	inf	(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))

rewrite121.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`*-commutative`
798×	`unswap-sqr`
600×	`swap-sqr`
532×	`associate-*r/`
470×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	249	51
2	2991	51

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

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

((-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 1/2 y)))) 1) (*.f64 (exp.f64 (-.f64 1/2 y)) 1) (*.f64 1 (exp.f64 (-.f64 1/2 y))) (*.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 y))) (sqrt.f64 (exp.f64 (-.f64 1/2 y)))) (*.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 2)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (exp.f64 (-.f64 1/2 y)))) (*.f64 (exp.f64 1/2) (exp.f64 (neg.f64 y))) (*.f64 (exp.f64 1/2) (/.f64 1 (exp.f64 y))) (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 1/2)) (*.f64 (/.f64 1 (exp.f64 y)) (exp.f64 1/2)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y)))) (cbrt.f64 (exp.f64 (-.f64 1/2 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y)))) (cbrt.f64 (exp.f64 (-.f64 1/2 y))))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 2)))) (*.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))))) (*.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y)))))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 y)))))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 3/2)) (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) 3) 1/6)) (*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (*.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) 2))) (*.f64 (pow.f64 (exp.f64 1) (/.f64 (-.f64 1/2 y) 2)) (pow.f64 (exp.f64 1) (/.f64 (-.f64 1/2 y) 2))) (/.f64 1 (/.f64 (exp.f64 y) (exp.f64 1/2))) (/.f64 (exp.f64 1/2) (exp.f64 y)) (/.f64 (sqrt.f64 (exp.f64 1/2)) (/.f64 (exp.f64 y) (sqrt.f64 (exp.f64 1/2)))) (/.f64 (*.f64 (cbrt.f64 (exp.f64 1/2)) (cbrt.f64 (exp.f64 1/2))) (/.f64 (exp.f64 y) (cbrt.f64 (exp.f64 1/2)))) (/.f64 (neg.f64 (exp.f64 1/2)) (neg.f64 (exp.f64 y))) (/.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 y))) (sqrt.f64 (exp.f64 1/2))) (sqrt.f64 (exp.f64 y))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (exp.f64 1/2))) (cbrt.f64 (exp.f64 y))) (/.f64 (*.f64 (neg.f64 (exp.f64 1/2)) 1) (neg.f64 (exp.f64 y))) (/.f64 (*.f64 (sqrt.f64 (exp.f64 1/2)) (sqrt.f64 (exp.f64 (-.f64 1/2 y)))) (sqrt.f64 (exp.f64 y))) (/.f64 (*.f64 (cbrt.f64 (exp.f64 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (exp.f64 y))) (/.f64 (/.f64 (exp.f64 1/2) 1) (exp.f64 y)) (/.f64 (/.f64 (exp.f64 1/2) (sqrt.f64 (exp.f64 y))) (sqrt.f64 (exp.f64 y))) (/.f64 (/.f64 (exp.f64 1/2) (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (cbrt.f64 (exp.f64 y))) (pow.f64 (exp.f64 (-.f64 1/2 y)) 1) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 y))) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) 3) 1/3) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y))) (pow.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (pow.f64 (exp.f64 1) (-.f64 1/2 y)) (neg.f64 (/.f64 (exp.f64 1/2) (neg.f64 (exp.f64 y)))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) 2)) (log.f64 (exp.f64 (exp.f64 (-.f64 1/2 y)))) (log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 1/2 y))))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) 3)) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 1/2 y)))) (log1p.f64 (expm1.f64 (exp.f64 (-.f64 1/2 y)))))

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

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1808×	`distribute-rgt-in`
1808×	`distribute-lft-in`
850×	`associate-+r+`
796×	`associate-+l+`
640×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	6912
1	977	5298
2	3576	5262

Stop Event

1×	node limit

Counts

182 → 225

Calls

Call 1

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

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

eval834.0ms (7.8%)

Compiler: Compiled 33895 to 27851 computations (17.8% saved)

prune160.0ms (1.5%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	743	8	751
Fresh	1	1	2
Picked	1	0	1
Done	1	8	9
Total	746	17	763

Accurracy

99.7%

Counts

763 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.1%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	14.3%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶	64.6%	(/.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
	51.0%	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))))
▶	10.8%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	29.4%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	62.1%	(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) 1)
✓	79.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	52.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	39.8%	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓	29.5%	(*.f64 (-.f64 1/2 y) x)
✓	48.8%	(*.f64 x (neg.f64 y))
▶	3.7%	(*.f64 1/2 x)
▶	51.2%	(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
✓	51.9%	(log.f64 2)

Compiler

Compiled 421 to 343 computations (18.5% saved)

localize91.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.8%	(cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
	98.4%	(pow.f64 (log.f64 2) 2)
✓	90.8%	(/.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
	78.9%	(cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))

Compiler

Compiled 196 to 163 computations (16.8% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
2.0ms	x	@	inf	(cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
1.0ms	x	@	0	(cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
1.0ms	y	@	inf	(cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
1.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))

rewrite102.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`associate-/l/`
466×	`add-sqr-sqrt`
450×	`*-un-lft-identity`
444×	`pow1`
436×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	198
1	479	62
2	6650	62

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs

(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 3) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))

(cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))

Outputs

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

((-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))) 1) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 1) (*.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) 1/6) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) 1/6)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 2) 1/3)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))) (*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1/6) 1/3) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1/6) 1/3)) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1/9) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) 1/6) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) 3) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 2)) (log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))) (log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))) (expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))) (exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 1/3)) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) 1)) (log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))))

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1166×	`+-commutative`
1008×	`associate-+r+`
822×	`associate-/r/`
624×	`associate-r`
520×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	470	13063
1	1418	11707
2	5871	11707

Stop Event

1×	node limit

Counts

131 → 230

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 1/2 x) (log.f64 2)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 y (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (pow.f64 (log.f64 2) 2)) x) (pow.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) 2)))))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 x) (log.f64 2))))
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(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))

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

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 1/4 (*.f64 y y))
✓	93.7%	(.f64 x (-.f64 1/4 (.f64 y y)))
✓	86.7%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`associate-/r*`
1652×	`associate-/l*`
904×	`associate-/r/`
738×	`associate-/l/`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	250	51
2	3472	45

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

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

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

((+.f64 1/4 (*.f64 y (neg.f64 y))) (+.f64 1/4 (*.f64 (*.f64 y (neg.f64 y)) 1)) (+.f64 (*.f64 y (neg.f64 y)) 1/4) (+.f64 (*.f64 (*.f64 y (neg.f64 y)) 1) 1/4) (+.f64 (-.f64 1/4 (exp.f64 (log1p.f64 (*.f64 y y)))) 1) (*.f64 (-.f64 1/4 (*.f64 y y)) 1) (*.f64 1 (-.f64 1/4 (*.f64 y y))) (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (*.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 1 (+.f64 1/4 (*.f64 y y)))) (*.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (*.f64 (/.f64 1 (+.f64 1/4 (*.f64 y y))) (-.f64 1/16 (pow.f64 y 4))) (*.f64 (/.f64 1 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (-.f64 1/64 (pow.f64 y 6))) (*.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) (-.f64 1/16 (pow.f64 y 4))) (-.f64 1/4 (*.f64 y y))) (*.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/64 (pow.f64 y 6))) (+.f64 1/16 (-.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))))) (*.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) (-.f64 1/256 (*.f64 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (-.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (*.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/4096 (pow.f64 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))) 3))) (-.f64 (+.f64 1/256 (*.f64 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (*.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 1 (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 (sqrt.f64 (-.f64 1/4 (*.f64 y y))))) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (/.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 y y))))) (/.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/4 (*.f64 y y))) (/.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 1 (/.f64 1 (+.f64 1/4 (*.f64 y y))))) (/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (/.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 1 (/.f64 1 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (/.f64 (sqrt.f64 (-.f64 1/64 (pow.f64 y 6))) (/.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))) (sqrt.f64 (-.f64 1/64 (pow.f64 y 6))))) (/.f64 (sqrt.f64 (-.f64 1/16 (pow.f64 y 4))) (/.f64 (+.f64 1/4 (*.f64 y y)) (sqrt.f64 (-.f64 1/16 (pow.f64 y 4))))) (/.f64 (*.f64 (cbrt.f64 (-.f64 1/64 (pow.f64 y 6))) (cbrt.f64 (-.f64 1/64 (pow.f64 y 6)))) (/.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))) (cbrt.f64 (-.f64 1/64 (pow.f64 y 6))))) (/.f64 (*.f64 (cbrt.f64 (-.f64 1/16 (pow.f64 y 4))) (cbrt.f64 (-.f64 1/16 (pow.f64 y 4)))) (/.f64 (+.f64 1/4 (*.f64 y y)) (cbrt.f64 (-.f64 1/16 (pow.f64 y 4))))) (/.f64 (-.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y)))) (+.f64 1/4 (*.f64 y y))) (/.f64 (-.f64 1/4096 (*.f64 (pow.f64 y 6) (pow.f64 y 6))) (*.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))) (+.f64 1/64 (pow.f64 y 6)))) (/.f64 (-.f64 1/256 (*.f64 (pow.f64 y 4) (pow.f64 y 4))) (*.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 (pow.f64 y 4) 1/16))) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y))) (*.f64 1/4 (*.f64 y (neg.f64 y)))))) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (*.f64 1 (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y))) (*.f64 1/4 (*.f64 y (neg.f64 y))))))) (/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))) (+.f64 1/4096 (+.f64 (*.f64 (pow.f64 y 6) (pow.f64 y 6)) (*.f64 1/64 (pow.f64 y 6)))))) (/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (*.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 (+.f64 1/256 (*.f64 (pow.f64 y 4) (pow.f64 y 4))) (*.f64 1/16 (pow.f64 y 4))))) (/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (neg.f64 (+.f64 1/4 (*.f64 y y)))) (/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (*.f64 1 (neg.f64 (+.f64 1/4 (*.f64 y y))))) (/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (neg.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (*.f64 1 (neg.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) 1) (+.f64 1/4 (*.f64 y y))) (/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) (sqrt.f64 (+.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y y)))) (/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) (*.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 1/64 (pow.f64 y 6)) 1) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (/.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (/.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (pow.f64 (-.f64 1/4 (*.f64 y y)) 1) (pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 3) (pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3) (sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2)) (log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y)))) (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y))))) (cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3)) (expm1.f64 (log.f64 (-.f64 5/4 (*.f64 y y)))) (exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y)))) (exp.f64 (*.f64 (log.f64 (-.f64 1/4 (*.f64 y y))) 1)) (log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1066×	`associate-r`
948×	`associate-l`
858×	`associate-/l*`
626×	`associate-/r*`
550×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	497	7557
1	1400	6771

Stop Event

1×	node limit

Counts

243 → 265

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 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 1/4 x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
1/4
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
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(/.f64 (-.f64 1/4096 (.f64 (pow.f64 y 6) (pow.f64 y 6))) (.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (*.f64 y y)))) (+.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/256 (.f64 (pow.f64 y 4) (pow.f64 y 4))) (.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 (pow.f64 y 4) 1/16)))
(/.f64 (+.f64 1/64 (pow.f64 (.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 1/4 (.f64 y (neg.f64 y))))))
(/.f64 (+.f64 1/64 (pow.f64 (.f64 y (neg.f64 y)) 3)) (.f64 1 (+.f64 1/16 (-.f64 (.f64 (.f64 y (neg.f64 y)) (.f64 y (neg.f64 y))) (.f64 1/4 (*.f64 y (neg.f64 y)))))))
(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y)))) (+.f64 1/4096 (+.f64 (.f64 (pow.f64 y 6) (pow.f64 y 6)) (.f64 1/64 (pow.f64 y 6))))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (.f64 (+.f64 1/4 (.f64 y y)) (+.f64 (+.f64 1/256 (.f64 (pow.f64 y 4) (pow.f64 y 4))) (.f64 1/16 (pow.f64 y 4)))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (neg.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (.f64 1 (neg.f64 (+.f64 1/4 (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (neg.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (.f64 1 (neg.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y)))))))
(/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) 1) (+.f64 1/4 (*.f64 y y)))
(/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) (sqrt.f64 (+.f64 1/4 (.f64 y y)))) (sqrt.f64 (+.f64 1/4 (.f64 y y))))
(/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) (.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 1/64 (pow.f64 y 6)) 1) (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) (sqrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y)))))) (sqrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))))
(/.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))) (cbrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))))
(pow.f64 (-.f64 1/4 (*.f64 y y)) 1)
(pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 2)
(pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 3)
(pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2))
(log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))
(cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))
(expm1.f64 (log.f64 (-.f64 5/4 (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))
(exp.f64 (.f64 (log.f64 (-.f64 1/4 (.f64 y y))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))

Outputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(.f64 x (-.f64 1/4 (.f64 y y)))
(*.f64 1/4 x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(.f64 x (-.f64 1/4 (.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(.f64 x (-.f64 1/4 (.f64 y y)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(.f64 x (-.f64 1/4 (.f64 y y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y x) (neg.f64 y))
(.f64 y (.f64 y (neg.f64 x)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 x (-.f64 1/4 (.f64 y y)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 x (-.f64 1/4 (.f64 y y)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 x (-.f64 1/4 (.f64 y y)))
(.f64 -1 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y x) (neg.f64 y))
(.f64 y (.f64 y (neg.f64 x)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 x (-.f64 1/4 (.f64 y y)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 x (-.f64 1/4 (.f64 y y)))
(+.f64 (.f64 1/4 x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(.f64 x (-.f64 1/4 (.f64 y y)))
1/4
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(.f64 (-.f64 1/4 (.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 y 1/2)))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 1 (.f64 x (-.f64 1/2 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (.f64 (sqrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 y 1/2))))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) 2) (.f64 (cbrt.f64 (.f64 x (-.f64 1/4 (.f64 y y)))) (/.f64 1 (+.f64 y 1/2))))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 (/.f64 1 (+.f64 y 1/2)) (.f64 x (-.f64 1/4 (*.f64 y y))))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(.f64 (.f64 x (neg.f64 (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (-.f64 -1/2 y)))
(.f64 x (.f64 (neg.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 (-.f64 -1/2 y))))
(*.f64 x (/.f64 (fma.f64 y y -1/4) (-.f64 -1/2 y)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (/.f64 (sqrt.f64 (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 (cbrt.f64 (+.f64 y 1/2)) x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))) x))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 (/.f64 1 (+.f64 1/8 (pow.f64 y 3))) (.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))))
(.f64 (/.f64 1 (+.f64 1/8 (pow.f64 y 3))) (.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))))
(.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (/.f64 x (+.f64 1/8 (pow.f64 y 3)))))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2)))
(.f64 (/.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (*.f64 y y)))) (-.f64 1/2 y))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (.f64 y y)))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(.f64 (/.f64 1 (+.f64 1/8 (pow.f64 y 3))) (.f64 x (.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))))
(.f64 (-.f64 1/4 (.f64 y y)) (*.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (/.f64 x (+.f64 1/8 (pow.f64 y 3)))))
(.f64 (/.f64 1 (-.f64 -1/2 y)) (.f64 x (neg.f64 (-.f64 1/4 (*.f64 y y)))))
(.f64 x (.f64 (neg.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 (-.f64 -1/2 y))))
(*.f64 x (/.f64 (fma.f64 y y -1/4) (-.f64 -1/2 y)))
(*.f64 (/.f64 x 1) (-.f64 1/2 y))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))
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(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 y (*.f64 y (fma.f64 y y 1/4)) 1/16))
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(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (.f64 (+.f64 1/16 (+.f64 (.f64 1/4 (.f64 y y)) (pow.f64 y 4))) (+.f64 1/4096 (+.f64 (pow.f64 y 12) (.f64 1/64 (pow.f64 y 6))))))
(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (.f64 (fma.f64 y (.f64 y (fma.f64 y y 1/4)) 1/16) (+.f64 1/4096 (fma.f64 1/64 (pow.f64 y 6) (pow.f64 y 12)))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (.f64 (+.f64 1/4 (.f64 y y)) (+.f64 (+.f64 1/256 (.f64 (pow.f64 y 4) (pow.f64 y 4))) (.f64 1/16 (pow.f64 y 4)))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (.f64 (+.f64 1/4 (.f64 y y)) (+.f64 1/256 (+.f64 (pow.f64 y 8) (*.f64 1/16 (pow.f64 y 4))))))
(/.f64 (/.f64 (-.f64 1/4096 (pow.f64 y 12)) (fma.f64 1/16 (pow.f64 y 4) (+.f64 1/256 (pow.f64 y 8)))) (fma.f64 y y 1/4))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (neg.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (.f64 1 (neg.f64 (+.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (neg.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (+.f64 (.f64 1/4 (.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 y (*.f64 y (fma.f64 y y 1/4)) 1/16))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (.f64 1 (neg.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y)))))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (+.f64 (.f64 1/4 (.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 y (*.f64 y (fma.f64 y y 1/4)) 1/16))
(/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) 1) (+.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) (sqrt.f64 (+.f64 1/4 (.f64 y y)))) (sqrt.f64 (+.f64 1/4 (.f64 y y))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (/.f64 (-.f64 1/16 (pow.f64 y 4)) (.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 1/16 (pow.f64 y 4)) (+.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (+.f64 (.f64 1/4 (.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 y (*.f64 y (fma.f64 y y 1/4)) 1/16))
(/.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) (sqrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y)))))) (sqrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (+.f64 (.f64 1/4 (.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 y (*.f64 y (fma.f64 y y 1/4)) 1/16))
(/.f64 (/.f64 (-.f64 1/64 (pow.f64 y 6)) (.f64 (cbrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))) (cbrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (.f64 (.f64 y y) (+.f64 1/4 (.f64 y y))))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (+.f64 (.f64 1/4 (.f64 y y)) (pow.f64 y 4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 y (*.f64 y (fma.f64 y y 1/4)) 1/16))
(pow.f64 (-.f64 1/4 (*.f64 y y)) 1)
(-.f64 1/4 (*.f64 y y))
(pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 2)
(-.f64 1/4 (*.f64 y y))
(pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 3)
(-.f64 1/4 (*.f64 y y))
(pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3)
(-.f64 1/4 (*.f64 y y))
(sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2))
(fabs.f64 (-.f64 1/4 (*.f64 y y)))
(log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))
(-.f64 1/4 (*.f64 y y))
(cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))
(-.f64 1/4 (*.f64 y y))
(expm1.f64 (log.f64 (-.f64 5/4 (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(exp.f64 (.f64 (log.f64 (-.f64 1/4 (.f64 y y))) 1))
(-.f64 1/4 (*.f64 y y))
(log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))

localize19.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (exp.f64 1/2) x)
✓	98.9%	(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))

Compiler

Compiled 24 to 20 computations (16.7% saved)

series34.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
13.0ms	x	@	-inf	(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
6.0ms	x	@	0	(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
2.0ms	x	@	0	(pow.f64 (exp.f64 1/2) x)
0.0ms	x	@	inf	(pow.f64 (exp.f64 1/2) x)

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1684×	`*-un-lft-identity`
1568×	`add-cube-cbrt`
1552×	`add-cbrt-cube`
184×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	197	26
2	2201	26

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

958×	`times-frac`
734×	`*-commutative`
640×	`associate-/l*`
574×	`distribute-lft-in`
562×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1001
1	259	989
2	934	947
3	3316	947
4	6293	947

Stop Event

1×	node limit

Counts

65 → 61

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))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 0 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (.f64 4 (exp.f64 x))))) (log.f64 (sqrt.f64 (sqrt.f64 (.f64 4 (exp.f64 x))))))
(+.f64 (log.f64 (cbrt.f64 (.f64 4 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (.f64 4 (exp.f64 x))))))
(+.f64 (.f64 (.f64 1/2 x) 1) (*.f64 (log.f64 2) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)))) 1)
(.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1)
(.f64 1 (+.f64 (log.f64 2) (.f64 1/2 x)))
(.f64 (sqrt.f64 (+.f64 (log.f64 2) (.f64 1/2 x))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 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)))
(/.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)))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(exp.f64 (.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (*.f64 4 (exp.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 x)))) 1)
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 x) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 1/2)) x) (pow.f64 (sqrt.f64 (exp.f64 1/2)) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 1)) x) (pow.f64 (cbrt.f64 (exp.f64 1/2)) x))
(sqrt.f64 (exp.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (.f64 (.f64 1/2 x) 1))
(log1p.f64 (expm1.f64 (sqrt.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 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/48 (pow.f64 x 3))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/48 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 1/48 (pow.f64 x 3) 1)))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(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 0 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (.f64 4 (exp.f64 x))))) (log.f64 (sqrt.f64 (sqrt.f64 (.f64 4 (exp.f64 x))))))
(.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (.f64 4 (exp.f64 x))))))
(+.f64 (log.f64 (cbrt.f64 (.f64 4 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (.f64 4 (exp.f64 x))))))
(+.f64 (.f64 (.f64 1/2 x) 1) (*.f64 (log.f64 2) 1))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)))) 1)
(fma.f64 1/2 x (log.f64 2))
(.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 1)
(fma.f64 1/2 x (log.f64 2))
(.f64 1 (+.f64 (log.f64 2) (.f64 1/2 x)))
(fma.f64 1/2 x (log.f64 2))
(.f64 (sqrt.f64 (+.f64 (log.f64 2) (.f64 1/2 x))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2))
(fma.f64 1/2 x (log.f64 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(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)))
(fma.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 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))) 2)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 2))
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x))) 1))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (-.f64 (sqrt.f64 (*.f64 4 (exp.f64 x))) 1))
(log1p.f64 (+.f64 (sqrt.f64 (*.f64 4 (exp.f64 x))) -1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 x)))) 1)
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 1 x) (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 1/2)) x) (pow.f64 (sqrt.f64 (exp.f64 1/2)) x))
(pow.f64 (sqrt.f64 (exp.f64 1/2)) (*.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 1)) x) (pow.f64 (cbrt.f64 (exp.f64 1/2)) x))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (cbrt.f64 (exp.f64 1/2)) x))
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 1/2 x) 1))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1/2) x)
(sqrt.f64 (exp.f64 x))

localize34.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 (-.f64 1/2 y) x)
	100.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	99.2%	(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) 1)
✓	98.0%	(exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))

Compiler

Compiled 56 to 43 computations (23.2% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) 1)
1.0ms	y	@	inf	(exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
1.0ms	y	@	-inf	(exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
1.0ms	x	@	inf	(exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
1.0ms	x	@	-inf	(exp.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`associate-*l/`
1104×	`distribute-lft-in`
372×	`associate-/r*`
308×	`add-sqr-sqrt`
294×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	321	44
2	3837	44

Stop Event

1×	node limit

Counts

2 → 189

Calls

Call 1

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

Outputs

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

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

simplify166.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1136×	`distribute-lft-in`
1128×	`associate-r`
934×	`associate-/l*`
890×	`associate-l`
884×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	758	23243
1	2418	22615

Stop Event

1×	node limit

Counts

237 → 444

Calls

Call 1

Inputs
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2))) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2)))) (.f64 (pow.f64 y 2) (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))))) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2))) (.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2)))) (.f64 (pow.f64 y 2) (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))))) (+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 3))) (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 3))))) (.f64 (pow.f64 y 3) (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))))) (.f64 -1 (*.f64 y x)))))))
(exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 y x))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) (pow.f64 x 2))))) (pow.f64 y 2)) (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))) (*.f64 y x)))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) (pow.f64 x 2))))) (pow.f64 y 2)) (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 3) (pow.f64 x 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 3) (pow.f64 x 3))) (.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 3) (pow.f64 x 3)))))) (pow.f64 y 3)) (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 y x))))))
(exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (+.f64 (/.f64 (log.f64 2) x) (/.f64 1 x))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (+.f64 (/.f64 (log.f64 2) x) (/.f64 1 x))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))) (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) (pow.f64 x 2))) (*.f64 1/2 (pow.f64 (+.f64 1/2 (+.f64 (/.f64 (log.f64 2) x) (/.f64 1 x))) 2)))) (pow.f64 y 2))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) (pow.f64 x 2))) (.f64 1/2 (pow.f64 (+.f64 1/2 (+.f64 (/.f64 (log.f64 2) x) (/.f64 1 x))) 2))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1/2 (+.f64 (/.f64 (log.f64 2) x) (/.f64 1 x))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) y)) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 2) (+.f64 1/2 (+.f64 (/.f64 (log.f64 2) x) (/.f64 1 x)))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 1/2 (+.f64 (/.f64 (log.f64 2) x) (/.f64 1 x))) 3)) (.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2))) 3) (pow.f64 x 3))))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)))) (pow.f64 y 3))))))
(+.f64 1 (log.f64 2))
(+.f64 1 (+.f64 (log.f64 2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) (*.f64 (+.f64 1 (log.f64 2)) x))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) 2)) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (log.f64 2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) (.f64 (+.f64 1 (log.f64 2)) x)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) 2)) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2))))) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (.f64 1/6 (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) 3)))) (.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 3))) (+.f64 (log.f64 2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) (.f64 (+.f64 1 (log.f64 2)) x))))))
(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 (log.f64 2) (-.f64 1/2 y)))) x))
(+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 (log.f64 2) (-.f64 1/2 y)))) x) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 (log.f64 2) (-.f64 1/2 y))) 2)))) (pow.f64 x 2))))
(+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 (log.f64 2) (-.f64 1/2 y)))) x) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 (log.f64 2) (-.f64 1/2 y))) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (-.f64 1/2 y) 3))) (.f64 1/6 (pow.f64 (+.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 (log.f64 2) (-.f64 1/2 y))) 3))))) (pow.f64 x 3)) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (-.f64 1/2 y)) (/.f64 (log.f64 2) (-.f64 1/2 y))) 2)))) (pow.f64 x 2)))))
(exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))) (+.f64 1 (log.f64 2))) (.f64 (-.f64 1/2 y) x)) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))) (+.f64 1 (log.f64 2))) (.f64 (-.f64 1/2 y) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (-.f64 1/2 y) 2)))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (pow.f64 x 2)) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))) (+.f64 1 (log.f64 2))) (.f64 (-.f64 1/2 y) x)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (-.f64 1/2 y) 2))) (.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (-.f64 1/2 y) 2)))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (pow.f64 x 2)) (+.f64 (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y))))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (-.f64 1/2 y) 3))) (.f64 -1/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (-.f64 1/2 y) 3))))) (exp.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 -1 (-.f64 1/2 y)))))) (pow.f64 x 3))))))
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(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 1 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) -1)
(fma.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)) (sqrt.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)) -1)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)) 2) (cbrt.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))

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

eval1.3s (12.5%)

Compiler: Compiled 65281 to 52819 computations (19.1% saved)

prune377.0ms (3.5%)

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1407	16	1423
Fresh	1	3	4
Picked	1	0	1
Done	3	9	12
Total	1412	28	1440

Accurracy

99.7%

Counts

1440 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.8%	(/.f64 (/.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
	10.8%	(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
	14.3%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	2.9%	(/.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 2 (log.f64 (-.f64 1/2 y))) (.f64 -2 (neg.f64 (log.f64 x))))) 3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
	3.0%	(/.f64 (.f64 (pow.f64 (exp.f64 (+.f64 (.f64 2/9 (log.f64 (-.f64 1/2 y))) (.f64 (neg.f64 (log.f64 x)) -2/9))) 3) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
	15.0%	(/.f64 (.f64 (.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
	10.5%	(/.f64 (.f64 x (.f64 y (neg.f64 y))) (+.f64 1/2 y))
	3.3%	(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
	29.4%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	78.3%	(-.f64 (+.f64 (+.f64 (log.f64 2) 1) (*.f64 (-.f64 1/2 y) x)) 1)
✓	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	79.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	53.7%	(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) 2)) (.f64 -1/2 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (log.f64 2)))) (/.f64 y (+.f64 1 (log.f64 2)))) (.f64 (+.f64 1 (log.f64 2)) x))))
✓	52.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	39.8%	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	10.9%	(.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 (.f64 y y) 1/4)) (-.f64 y 1/2))
	9.2%	(.f64 (/.f64 x (-.f64 1/4 (.f64 y y))) (.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
	14.3%	(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
	7.3%	(.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
	10.9%	(.f64 (/.f64 1 (+.f64 y 1/2)) (.f64 x (-.f64 1/4 (*.f64 y y))))
✓	29.5%	(*.f64 (-.f64 1/2 y) x)
✓	48.8%	(*.f64 x (neg.f64 y))
✓	3.7%	(*.f64 1/2 x)
	14.3%	(neg.f64 (/.f64 x (/.f64 (-.f64 -1/2 y) (-.f64 1/4 (*.f64 y y)))))
✓	51.2%	(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
	51.2%	(log.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (E.f64)) x) (pow.f64 (cbrt.f64 (exp.f64 1/2)) x)) 2))
✓	51.9%	(log.f64 2)

Compiler

Compiled 476 to 378 computations (20.6% saved)

regimes77.0ms (0.7%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	y
17.0ms	x
13.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 649 to 491 computations (24.3% saved)

regimes41.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
98.7%	2	`x`
89.0%	1	`y`

Compiler

Compiled 227 to 141 computations (37.9% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-2.620899924384003	-3.024630185666162e-9

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes44.0ms (0.4%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
98.4%	2	`x`
89.0%	1	`y`

Compiler

Compiled 207 to 125 computations (39.6% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-211.63694499320374	-2.620899924384003

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 128 to 96 computations (25% saved)

regimes115.0ms (1.1%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

2 calls:

59.0ms	y
50.0ms	x

Results

Accuracy	Segments	Branch
83.5%	4	`x`
69.8%	5	`y`

Compiler

Compiled 201 to 121 computations (39.8% saved)

bsearch65.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-3.3579637399777105e-136	-5.069610476984473e-138
27.0ms	-4.6205263151363856e-104	-1.3676276335802402e-114
13.0ms	-3.1146573426512824e-56	-1.4769016890777959e-56

Results

60.0ms

352×

body

256

valid

Compiler

Compiled 308 to 253 computations (17.9% saved)

regimes111.0ms (1%)

Counts

18 → 4

Calls

Call 1

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

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

Calls

2 calls:

67.0ms	y
40.0ms	x

Results

Accuracy	Segments	Branch
83.4%	4	`x`
69.4%	5	`y`

Compiler

Compiled 195 to 116 computations (40.5% saved)

bsearch53.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-3.3579637399777105e-136	-5.069610476984473e-138
25.0ms	-4.6205263151363856e-104	-1.3676276335802402e-114
12.0ms	-3.1146573426512824e-56	-1.4769016890777959e-56

Results

48.0ms

352×

body

256

valid

Compiler

Compiled 280 to 232 computations (17.1% saved)

regimes37.0ms (0.3%)

Accuracy

Total -30.2b remaining (-92.2%)

Threshold costs -30.2b (-92.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
48.8%	1	`x`
48.8%	1	`y`

Compiler

Compiled 193 to 114 computations (40.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
16×	`*-commutative`
10×	`sub-neg`
6×	`neg-mul-1`
6×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	249
1	68	247
2	83	247
3	91	243
4	94	243
5	96	243

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -23) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 x (neg.f64 y)) (if (<=.f64 x -8456642567068485/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (log.f64 2) (if (<=.f64 x -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -5521397077432451/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 x (neg.f64 y)) (if (<=.f64 x -7652568355773449/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (log.f64 2) (if (<=.f64 x -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 x (neg.f64 y)) (log.f64 2))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -23) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 x (neg.f64 y)) (if (<=.f64 x -8456642567068485/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (log.f64 2) (if (<=.f64 x -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -4417117661945961/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 x (neg.f64 y)) (if (<=.f64 x -8456642567068485/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912) (log.f64 2) (if (<=.f64 x -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -5521397077432451/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 x (neg.f64 y)) (if (<=.f64 x -7652568355773449/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (log.f64 2) (if (<=.f64 x -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (.f64 x (neg.f64 y)) (log.f64 2))))
(if (or (<=.f64 x -5521397077432451/220855883097298041197912187592864814478435487109452369765200775161577472) (not (or (<=.f64 x -7652568355773449/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648) (not (<=.f64 x -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008))))) (*.f64 x (neg.f64 y)) (log.f64 2))
(if (or (<=.f64 x -5521397077432451/220855883097298041197912187592864814478435487109452369765200775161577472) (and (not (<=.f64 x -7652568355773449/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648)) (<=.f64 x -8641751204845815/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008))) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 105 to 74 computations (29.5% saved)

soundness202.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end55.0ms (0.5%)

Compiler: Compiled 93 to 53 computations (43% saved)

Details

analyze134.0ms (1.3%)

sample3.4s (32.1%)

preprocess93.0ms (0.9%)

simplify77.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series110.0ms (1%)

rewrite69.0ms (0.6%)

simplify87.0ms (0.8%)

eval51.0ms (0.5%)

prune12.0ms (0.1%)

localize4.0ms (0%)

localize14.0ms (0.1%)

series6.0ms (0.1%)

rewrite90.0ms (0.8%)

simplify98.0ms (0.9%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.5%)

simplify67.0ms (0.6%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite64.0ms (0.6%)

simplify62.0ms (0.6%)

eval467.0ms (4.4%)

prune83.0ms (0.8%)

localize137.0ms (1.3%)

series27.0ms (0.3%)

rewrite108.0ms (1%)

simplify167.0ms (1.6%)

localize6.0ms (0.1%)

localize3.0ms (0%)

localize10.0ms (0.1%)

series0.0ms (0%)

rewrite57.0ms (0.5%)

simplify57.0ms (0.5%)

localize20.0ms (0.2%)

series179.0ms (1.7%)

rewrite121.0ms (1.1%)

simplify103.0ms (1%)

eval834.0ms (7.8%)

prune160.0ms (1.5%)

localize91.0ms (0.8%)

series11.0ms (0.1%)

rewrite102.0ms (1%)

simplify152.0ms (1.4%)

localize3.0ms (0%)

localize13.0ms (0.1%)

series4.0ms (0%)

rewrite83.0ms (0.8%)

simplify77.0ms (0.7%)

localize19.0ms (0.2%)

series34.0ms (0.3%)

rewrite61.0ms (0.6%)

simplify72.0ms (0.7%)

localize34.0ms (0.3%)

series11.0ms (0.1%)

rewrite99.0ms (0.9%)

simplify166.0ms (1.5%)

eval1.3s (12.5%)

prune377.0ms (3.5%)

regimes77.0ms (0.7%)

regimes41.0ms (0.4%)

bsearch20.0ms (0.2%)

regimes44.0ms (0.4%)

bsearch15.0ms (0.1%)

regimes115.0ms (1.1%)

bsearch65.0ms (0.6%)

regimes111.0ms (1%)

bsearch53.0ms (0.5%)

regimes37.0ms (0.3%)

simplify11.0ms (0.1%)

soundness202.0ms (1.9%)

end55.0ms (0.5%)

Profiling