Details

analyze167.0ms (1.6%)

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 (33.6%)

Results

2.2s	2530×	body	8192	exit
1.0s	7795×	body	256	valid
106.0ms	226×	body	1024	valid
63.0ms	235×	body	512	valid
19.0ms	137×	body	256	infinite

Bogosity

preprocess95.0ms (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)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

99.6%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.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))
✓	99.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series69.0ms (0.7%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
23.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite64.0ms (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) (2)) ((.f64 (log1p.f64 (exp.f64 x)) 1) (2)) ((.f64 1 (log1p.f64 (exp.f64 x))) (2)) ((.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (2)) ((.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (2)) ((.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (2)) ((pow.f64 (log1p.f64 (exp.f64 x)) 1) (2)) ((pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (2)) ((log.f64 (+.f64 (exp.f64 x) 1)) (2)) ((cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (2)) ((exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (2)) ((exp.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1)) (2)))
(((+.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))) (2)) ((+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1)) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))) (2)) ((+.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))) (2)) ((+.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))) (2)) ((+.f64 (.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))) (2)) ((.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) (2)) ((.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (2)) ((.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (2)) ((.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)) (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)))) (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)))) (2)) ((.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)))))) (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)))) (2)) ((/.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)))) (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)))) (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))) (2)) ((/.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))))) (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)))) (2)) ((/.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)))))) (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)))) (2)) ((/.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)))))) (2)) ((pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) (2)) ((pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (2)) ((pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 3) (2)) ((pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2)) (2)) ((log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (2)) ((cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3)) (2)) ((expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (2)) ((exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (2)) ((exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1)) (2)) ((log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (2)) ((fma.f64 1 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))) (2)) ((fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 x (neg.f64 y))) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))) (2)))

Outputs

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

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

simplify103.0ms (1%)

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))

eval16.0ms (0.2%)

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

prune17.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	8	81

Accurracy

99.7%

Counts

81 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.9%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	77.5%	(/.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))))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	88.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	80.9%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	42.3%	(*.f64 x (neg.f64 y))
	59.7%	(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
▶	82.7%	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

Compiler

Compiled 185 to 124 computations (33% saved)

localize15.0ms (0.2%)

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)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify94.0ms (0.9%)

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))

localize4.0ms (0%)

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

localize52.0ms (0.5%)

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)

series2.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite81.0ms (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))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (-.f64 1 (log.f64 2))) (2)) ((-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) (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)))) (2)) ((-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 1) (2)) ((-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1) (2)) ((*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) (2)) ((*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (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)))) (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)) (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)))) (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)))) (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)))))) (2)) ((*.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))) (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))) (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) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (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))))) (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))))) (2)) ((*.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))))) (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)))) (2)) ((/.f64 1 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (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))) (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))))) (2)) ((/.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)))) (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))))) (2)) ((/.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))))) (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))))) (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 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simplify135.0ms (1.3%)

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

localize10.0ms (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))

rewrite69.0ms (0.7%)

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

simplify61.0ms (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))
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(+.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))

localize29.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	99.6%	(log1p.f64 (exp.f64 x))
✓	98.7%	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
1.0ms	x	@	inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	x	@	0	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	y	@	inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	x	@	-inf	(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

rewrite102.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
790×	`unswap-sqr`
570×	`swap-sqr`
548×	`distribute-lft-in`
542×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	225	46
2	2660	46

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

Outputs

(((+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))) (2)) ((+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 0) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) (2)) ((+.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))) (2)) ((+.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))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1)) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) 1)) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) 1)) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) 1)) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) 1)) (2)) ((+.f64 1 (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) -1)) (2)) ((+.f64 1 (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) -1) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) (+.f64 -1 (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) (+.f64 -1 (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) (+.f64 -1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) (+.f64 -1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) (+.f64 -1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))) (2)) ((+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))) (2)) ((+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))) (2)) ((+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (*.f64 x (neg.f64 y)) -1)) (2)) ((+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (*.f64 x (neg.f64 y)) 1)) (2)) ((+.f64 -1 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1))) (2)) ((+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (2)) ((+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (2)) ((+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (2)) ((+.f64 (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))) (2)) ((+.f64 (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))) (2)) ((+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1) (2)) ((-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (2)) ((-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (2)) ((-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) (fma.f64 (neg.f64 x) y (*.f64 x y)))) (2)) ((-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))) (2)) ((-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x 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(exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))) (2)))

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

simplify180.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def`
924×	`associate-+l+`
884×	`associate-+r+`
742×	`+-commutative`
644×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	625	15700
1	1814	14204

Stop Event

1×	node limit

Counts

252 → 370

Calls

Call 1

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

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

eval363.0ms (3.6%)

Compiler: Compiled 19210 to 10280 computations (46.5% saved)

prune182.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	757	8	765
Fresh	2	0	2
Picked	1	0	1
Done	3	2	5
Total	763	10	773

Accurracy

99.7%

Counts

773 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) 1)
✓	88.8%	(-.f64 (log.f64 2) (*.f64 x y))
	59.4%	(+.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y)) (log.f64 2))
▶	58.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	68.8%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶	23.8%	(*.f64 (-.f64 1/2 y) x)
✓	42.3%	(*.f64 x (neg.f64 y))
▶	58.2%	(log1p.f64 (exp.f64 x))
	58.6%	(log.f64 (.f64 2 (exp.f64 (.f64 (-.f64 1/2 y) x))))
	57.9%	(log.f64 2)

Compiler

Compiled 166 to 132 computations (20.5% saved)

localize20.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1))
	99.6%	(log1p.f64 (exp.f64 x))
✓	97.1%	(-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) 1)

Compiler

Compiled 38 to 16 computations (57.9% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1))
0.0ms	x	@	0	(-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) 1)
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1))
0.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1))
0.0ms	x	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1))

rewrite149.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`associate-*r/`
1420×	`associate-*l/`
496×	`associate-+l+`
312×	`+-commutative`
308×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	264	44
2	3651	44

Stop Event

1×	node limit

Counts

2 → 325

Calls

Call 1

Inputs
(-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (-.f64 (*.f64 x y) 1))

Outputs

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

simplify241.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1202×	`fma-def`
1058×	`associate-+r+`
910×	`+-commutative`
892×	`associate--l-`
798×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	740	19419
1	1946	17725
2	7330	17593

Stop Event

1×	node limit

Counts

373 → 446

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.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)))
(+.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))))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(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 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (+.f64 (log.f64 2) 1))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (+.f64 (log.f64 2) 1)))
(+.f64 (fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 1)
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.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) (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 1)))
(fma.f64 (-.f64 1/2 y) x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (fma.f64 1/8 (*.f64 x x) 1)))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 1 (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 0 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (-.f64 1 (.f64 x y)) 1) -1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (-.f64 0 (*.f64 x y)) 0))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 (neg.f64 x) y) 0))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 (neg.f64 y) x) 0))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 -1 (.f64 x y)) 0))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (*.f64 x y))) 0))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))) 0))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (-.f64 0 (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(+.f64 (.f64 0 (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (neg.f64 (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(+.f64 (.f64 0 (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (neg.f64 x) y) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(+.f64 (.f64 0 (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (neg.f64 y) x) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(+.f64 (.f64 0 (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 -1 (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(+.f64 (.f64 0 (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(+.f64 (.f64 0 (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y))) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))
(+.f64 (.f64 0 (.f64 y x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (-.f64 0 (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (fma.f64 x y -1) 6)) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (fma.f64 x y -1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (fma.f64 x y -1) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (fma.f64 y x -1) 6)) (fma.f64 (fma.f64 y x -1) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (fma.f64 y x -1) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (fma.f64 x y -1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (fma.f64 x y -1) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)))))) (+.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (.f64 (pow.f64 (fma.f64 x y -1) 3) (pow.f64 (fma.f64 x y -1) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (fma.f64 x y -1) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (fma.f64 x y -1) 3) 3)) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (+.f64 (pow.f64 (fma.f64 x y -1) 6) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (fma.f64 x y -1) 3)))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (fma.f64 x y -1) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (fma.f64 y x -1) 3) 3)) (*.f64 (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (fma.f64 y x -1) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (fma.f64 y x -1) 6))) (fma.f64 (fma.f64 y x -1) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 1)
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))) 2)
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))) 3)
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 2))
(fabs.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1)) 3))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(exp.f64 (.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))
(exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y -1))))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (-.f64 1 (*.f64 x y)))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (*.f64 x y)))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (*.f64 x y)))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 y x -1))

localize17.0ms (0.2%)

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)

localize9.0ms (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))

rewrite77.0ms (0.8%)

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

simplify54.0ms (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))

localize5.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

localize22.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(*.f64 (-.f64 1/2 y) x)
✓	100.0%	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
✓	100.0%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓	99.0%	(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms	y	@	0	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
0.0ms	x	@	inf	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
0.0ms	y	@	-inf	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
0.0ms	x	@	0	(log1p.f64 (*.f64 (-.f64 1/2 y) x))

rewrite102.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`*-commutative`
962×	`associate-*r/`
792×	`associate-*l/`
612×	`distribute-lft-in`
600×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	274	49
2	3261	49

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

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

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

simplify187.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-+r-`
760×	`associate-/l*`
724×	`associate-r`
686×	`fma-def`
672×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	546	11399
1	1608	9877
2	7817	9877

Stop Event

1×	node limit

Counts

245 → 326

Calls

Call 1

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

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

eval468.0ms (4.6%)

Compiler: Compiled 22990 to 14216 computations (38.2% saved)

prune270.0ms (2.7%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	991	10	1001
Fresh	1	2	3
Picked	1	0	1
Done	2	4	6
Total	995	16	1011

Accurracy

99.7%

Counts

1011 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.9%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	9.0%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	23.7%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
▶	87.9%	(-.f64 (-.f64 (log.f64 2) (-.f64 (*.f64 x y) 1)) 1)
	80.1%	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2))) 1)
▶	80.9%	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (-.f64 1 (log.f64 2)))
✓	88.8%	(-.f64 (log.f64 2) (*.f64 x y))
	59.4%	(+.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y)) (log.f64 2))
▶	23.8%	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
✓	58.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	10.3%	(+.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (/.f64 1 x) (-.f64 1/2 y)))) (log.f64 2))
	57.5%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
✓	23.8%	(*.f64 (-.f64 1/2 y) x)
✓	42.3%	(*.f64 x (neg.f64 y))
▶	3.4%	(*.f64 1/2 x)
	57.9%	(log.f64 2)

Compiler

Compiled 309 to 244 computations (21% saved)

localize23.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log.f64 2) (-.f64 (*.f64 x y) 1))
✓	99.0%	(-.f64 (-.f64 (log.f64 2) (-.f64 (*.f64 x y) 1)) 1)

Compiler

Compiled 34 to 21 computations (38.2% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite124.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`associate-*r/`
1372×	`associate-*l/`
490×	`associate-+l+`
358×	`associate-/r*`
300×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	265	36
2	3627	36

Stop Event

1×	node limit

Counts

2 → 344

Calls

Call 1

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

Outputs

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

simplify208.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1140×	`fma-def`
1006×	`associate-+r+`
900×	`associate--l-`
850×	`+-commutative`
796×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	758	18796
1	1995	16918
2	7813	16906

Stop Event

1×	node limit

Counts

392 → 450

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series9.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
0.0ms	x	@	inf	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
0.0ms	y	@	0	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
0.0ms	x	@	-inf	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
0.0ms	y	@	inf	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`*-commutative`
710×	`unswap-sqr`
546×	`swap-sqr`
438×	`distribute-lft-in`
430×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	215	13
2	2847	13

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

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

Outputs

(((-.f64 (*.f64 x 1/2) (*.f64 x y)) (2)) ((-.f64 0 (*.f64 x (-.f64 y 1/2))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) (-.f64 1 (*.f64 x 1/2))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) (+.f64 (*.f64 x y) 1)) (2)) ((-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 y 1/2))) (/.f64 1/4 (/.f64 (*.f64 x (-.f64 y 1/2)) (*.f64 x x)))) (2)) ((-.f64 (+.f64 (*.f64 x y) (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1) (2)) ((-.f64 (+.f64 (*.f64 x 1/2) 0) (*.f64 x y)) (2)) ((-.f64 (+.f64 (*.f64 x 1/2) (exp.f64 (log1p.f64 (*.f64 x y)))) 1) (2)) ((*.f64 x (+.f64 y 1/2)) (2)) ((*.f64 (*.f64 x (+.f64 y 1/2)) 1) (2)) ((*.f64 1 (*.f64 x (+.f64 y 1/2))) (2)) ((*.f64 (sqrt.f64 x) (+.f64 (*.f64 y (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x)))) (2)) ((*.f64 (sqrt.f64 x) (+.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))) (2)) ((*.f64 (sqrt.f64 x) (-.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))) (2)) ((*.f64 (sqrt.f64 (*.f64 x (+.f64 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simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

902×	`distribute-lft-neg-in`
880×	`distribute-rgt-neg-in`
760×	`associate-r`
602×	`associate-l`
426×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	5993
1	1012	5561
2	5215	5463

Stop Event

1×	node limit

Counts

139 → 202

Calls

Call 1

Inputs
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(-.f64 (.f64 x 1/2) (.f64 x y))
(-.f64 0 (*.f64 x (-.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x y))) (-.f64 1 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 1/2))) (+.f64 (.f64 x y) 1))
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 y 1/2))) (/.f64 1/4 (/.f64 (.f64 x (-.f64 y 1/2)) (.f64 x x))))
(-.f64 (+.f64 (.f64 x y) (exp.f64 (log1p.f64 (.f64 x 1/2)))) 1)
(-.f64 (+.f64 (.f64 x 1/2) 0) (.f64 x y))
(-.f64 (+.f64 (.f64 x 1/2) (exp.f64 (log1p.f64 (.f64 x y)))) 1)
(*.f64 x (+.f64 y 1/2))
(.f64 (.f64 x (+.f64 y 1/2)) 1)
(.f64 1 (.f64 x (+.f64 y 1/2)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 y (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (cbrt.f64 x) (+.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 x) (+.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 x) (-.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (.f64 y (cbrt.f64 x)) (*.f64 1/2 (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (.f64 1/2 (cbrt.f64 x)) (*.f64 y (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (.f64 1/2 (cbrt.f64 x)) (*.f64 y (cbrt.f64 x))))
(.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (/.f64 1 (*.f64 x (-.f64 y 1/2))))
(.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 y 1/2))))))
(*.f64 (+.f64 y 1/2) x)
(.f64 (.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 1/2))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x y))))
(.f64 (/.f64 1 (.f64 x (-.f64 y 1/2))) (neg.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (.f64 x (+.f64 y 1/2)))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) 1) (/.f64 1 (*.f64 x (+.f64 y 1/2))))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (.f64 x (-.f64 y 1/2)))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) 1/8))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))
(.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (-.f64 (pow.f64 (.f64 x y) 4) (pow.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))) 2))) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x -1/2) (.f64 x (+.f64 y 1/2)))))
(.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (pow.f64 (pow.f64 (.f64 x y) 2) 3) (pow.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))) 3))) (+.f64 (pow.f64 (.f64 x y) 4) (.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))) (-.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))) (pow.f64 (*.f64 x y) 2)))))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 x (+.f64 y 1/2)))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (pow.f64 (.f64 x (-.f64 y 1/2)) 2)) (.f64 x (neg.f64 (-.f64 y 1/2))))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))) (+.f64 (pow.f64 (.f64 x y) 2) (neg.f64 (.f64 (.f64 x 1/2) (*.f64 x (+.f64 y 1/2))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) (cbrt.f64 (.f64 x (+.f64 y 1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))))) (.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 3/2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/6))
(/.f64 (*.f64 x (+.f64 y 1/2)) 1)
(/.f64 (.f64 x (+.f64 y 1/2)) (/.f64 (.f64 x (-.f64 y 1/2)) (*.f64 x (-.f64 y 1/2))))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 y 1/2))))
(/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 x (+.f64 y 1/2)))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 x (-.f64 y 1/2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))
(/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))) (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))) (*.f64 x (+.f64 y 1/2))))
(/.f64 (sqrt.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))) (sqrt.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (/.f64 (.f64 x (-.f64 y 1/2)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (cbrt.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))) (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))) (cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (cbrt.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)))) (/.f64 (.f64 x (-.f64 y 1/2)) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))))
(/.f64 (pow.f64 (.f64 x (-.f64 y 1/2)) 2) (.f64 x (neg.f64 (-.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 6) (.f64 1/64 (pow.f64 x 6))) (.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))) (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) 1/8))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 4) (.f64 1/16 (pow.f64 x 4))) (.f64 (.f64 x (-.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x y) 3) 3) (pow.f64 (.f64 1/8 (pow.f64 x 3)) 3)) (.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))) (-.f64 (+.f64 (pow.f64 (.f64 x y) 6) (.f64 1/64 (pow.f64 x 6))) (.f64 (pow.f64 (.f64 x y) 3) (*.f64 1/8 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x y) 2) 3) (pow.f64 (.f64 1/4 (.f64 x x)) 3)) (.f64 (.f64 x (-.f64 y 1/2)) (+.f64 (pow.f64 (.f64 x y) 4) (pow.f64 (.f64 (.f64 x 1/2) (*.f64 x (+.f64 y 1/2))) 2))))
(/.f64 (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (+.f64 (pow.f64 (.f64 x y) 2) (neg.f64 (.f64 (.f64 x 1/2) (*.f64 x (+.f64 y 1/2))))))
(/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))))
(/.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)))) (sqrt.f64 (.f64 x (-.f64 y 1/2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)))) (cbrt.f64 (.f64 x (-.f64 y 1/2))))
(/.f64 (.f64 (pow.f64 (.f64 x (-.f64 y 1/2)) 2) 1) (*.f64 x (neg.f64 (-.f64 y 1/2))))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) 1) (+.f64 (pow.f64 (.f64 x y) 2) (neg.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (sqrt.f64 (.f64 x (+.f64 y 1/2)))) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (sqrt.f64 (.f64 x (+.f64 y 1/2)))) (sqrt.f64 (.f64 x (-.f64 y 1/2))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2)) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2)) (cbrt.f64 (.f64 x (-.f64 y 1/2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 4) (.f64 1/16 (pow.f64 x 4))) (/.f64 1 (.f64 x (-.f64 y 1/2)))) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x y) 2) 3) (pow.f64 (.f64 1/4 (.f64 x x)) 3)) (/.f64 1 (.f64 x (-.f64 y 1/2)))) (+.f64 (pow.f64 (.f64 x y) 4) (pow.f64 (.f64 (.f64 x 1/2) (*.f64 x (+.f64 y 1/2))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 6) (.f64 1/64 (pow.f64 x 6))) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))) (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) 1/8)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x y) 3) 3) (pow.f64 (.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))) (-.f64 (+.f64 (pow.f64 (.f64 x y) 6) (.f64 1/64 (pow.f64 x 6))) (.f64 (pow.f64 (.f64 x y) 3) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) x) (-.f64 y 1/2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) 1) (.f64 x (-.f64 y 1/2)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (sqrt.f64 (.f64 x (-.f64 y 1/2)))) (sqrt.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 (cbrt.f64 (.f64 x (-.f64 y 1/2))) (cbrt.f64 (.f64 x (-.f64 y 1/2))))) (cbrt.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 1/2))))
(/.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) 1) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))
(/.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 y 1/2))))))
(/.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))))) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 y 1/2))))))
(/.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) x) (+.f64 y 1/2))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) 1) (.f64 x (+.f64 y 1/2)))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (sqrt.f64 (.f64 x (+.f64 y 1/2)))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2)) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (/.f64 1 (*.f64 x (-.f64 y 1/2))))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 y 1/2))))))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 x (neg.f64 (-.f64 y 1/2)))))
(neg.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (pow.f64 (.f64 x y) 2) (neg.f64 (.f64 (.f64 x 1/2) (*.f64 x (+.f64 y 1/2)))))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))

Outputs
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(-.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(-.f64 0 (*.f64 x (-.f64 y 1/2)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(*.f64 x (+.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (.f64 x y))) (-.f64 1 (.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 y x))) (-.f64 1 (.f64 1/2 x)))
(fma.f64 1/2 x (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 1/2))) (+.f64 (.f64 x y) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) (fma.f64 x y 1))
(-.f64 (expm1.f64 (log1p.f64 (.f64 1/2 x))) (.f64 y x))
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 y 1/2))) (/.f64 1/4 (/.f64 (.f64 x (-.f64 y 1/2)) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (.f64 x (+.f64 y -1/2))) (.f64 (/.f64 1/4 (.f64 x (+.f64 y -1/2))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (.f64 x (+.f64 y -1/2))) (/.f64 1/4 (/.f64 (+.f64 y -1/2) x)))
(-.f64 (+.f64 (.f64 x y) (exp.f64 (log1p.f64 (.f64 x 1/2)))) 1)
(+.f64 (fma.f64 x y (exp.f64 (log1p.f64 (*.f64 1/2 x)))) -1)
(fma.f64 y x (expm1.f64 (log1p.f64 (*.f64 1/2 x))))
(-.f64 (+.f64 (.f64 x 1/2) 0) (.f64 x y))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(-.f64 (+.f64 (.f64 x 1/2) (exp.f64 (log1p.f64 (.f64 x y)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 y x))) (-.f64 1 (.f64 1/2 x)))
(fma.f64 1/2 x (expm1.f64 (log1p.f64 (*.f64 y x))))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(.f64 (.f64 x (+.f64 y 1/2)) 1)
(*.f64 x (+.f64 1/2 y))
(.f64 1 (.f64 x (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(.f64 (sqrt.f64 x) (+.f64 (.f64 y (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 1/2 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(.f64 (sqrt.f64 x) (.f64 (+.f64 1/2 y) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (-.f64 (.f64 1/2 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (-.f64 1/2 y))
(.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 x) (+.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (+.f64 1/2 y) (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (+.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (+.f64 1/2 y) (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (-.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (.f64 y (cbrt.f64 x)) (*.f64 1/2 (cbrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (+.f64 1/2 y) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (.f64 1/2 (cbrt.f64 x)) (*.f64 y (cbrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (+.f64 1/2 y) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (.f64 1/2 (cbrt.f64 x)) (*.f64 y (cbrt.f64 x))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(*.f64 x (+.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (/.f64 1 (*.f64 x (-.f64 y 1/2))))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 x (+.f64 y -1/2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y)))
(.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 y 1/2))))))
(.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (pow.f64 x 3)))
(*.f64 (+.f64 y 1/2) x)
(*.f64 x (+.f64 1/2 y))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 1/2))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x y))))
(.f64 (sqrt.f64 x) (.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 1/2)) (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 y x)))))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 1/2))) (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 y x))))
(.f64 (/.f64 1 (.f64 x (-.f64 y 1/2))) (neg.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 x (+.f64 y -1/2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))
(.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (pow.f64 x 3)))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (.f64 x (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) 1) (/.f64 1 (*.f64 x (+.f64 y 1/2))))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (+.f64 1/2 y)))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (.f64 x (-.f64 y 1/2)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))
(.f64 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y)))) (/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (pow.f64 x 3)) (+.f64 (pow.f64 y 3) 1/8)))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (pow.f64 x 3)))
(.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) 1/8))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))
(.f64 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y)))) (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1/8))))
(.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (pow.f64 x 3))) (+.f64 (pow.f64 y 3) -1/8)))
(.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (/.f64 (neg.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (pow.f64 x 3))) (+.f64 (pow.f64 y 3) -1/8)))
(.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (-.f64 (pow.f64 (.f64 x y) 4) (pow.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))) 2))) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x -1/2) (.f64 x (+.f64 y 1/2)))))
(.f64 (/.f64 (pow.f64 x 3) (/.f64 (-.f64 (pow.f64 (.f64 y x) 4) (pow.f64 (.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 y)))) 2)) (+.f64 (pow.f64 y 3) 1/8))) (+.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 x (+.f64 1/2 y)) (*.f64 x -1/2))))
(.f64 (.f64 (/.f64 (pow.f64 x 3) (-.f64 (pow.f64 (.f64 y x) 4) (pow.f64 (.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 y)))) 2))) (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 x (.f64 (.f64 x -1/2) (+.f64 1/2 y)) (pow.f64 (*.f64 y x) 2)))
(.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (pow.f64 (pow.f64 (.f64 x y) 2) 3) (pow.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))) 3))) (+.f64 (pow.f64 (.f64 x y) 4) (.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))) (-.f64 (.f64 (.f64 x 1/2) (.f64 x (+.f64 y 1/2))) (pow.f64 (*.f64 x y) 2)))))
(.f64 (/.f64 (pow.f64 x 3) (/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (pow.f64 (.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 y)))) 3)) (+.f64 (pow.f64 y 3) 1/8))) (+.f64 (pow.f64 (.f64 y x) 4) (.f64 (.f64 1/2 x) (.f64 (.f64 x (+.f64 1/2 y)) (-.f64 (.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 y)))) (pow.f64 (.f64 y x) 2))))))
(/.f64 (.f64 (pow.f64 x 3) (.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 (.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 y)))) (-.f64 (.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 y)))) (pow.f64 (.f64 y x) 2)) (pow.f64 (.f64 y x) 4)))) (+.f64 (pow.f64 (.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 y)))) 3) (pow.f64 (.f64 y x) 6)))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 x (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (pow.f64 (.f64 x (-.f64 y 1/2)) 2)) (.f64 x (neg.f64 (-.f64 y 1/2))))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 x (+.f64 y -1/2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (neg.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)))) (+.f64 (pow.f64 (.f64 x y) 2) (neg.f64 (.f64 (.f64 x 1/2) (*.f64 x (+.f64 y 1/2))))))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 (pow.f64 x 3) (neg.f64 (+.f64 (pow.f64 y 3) 1/8)))) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x (.f64 1/2 (*.f64 x (+.f64 1/2 y))))))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 (fma.f64 x (.f64 (.f64 x -1/2) (+.f64 1/2 y)) (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 x 3) (+.f64 -1/8 (neg.f64 (pow.f64 y 3))))))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 (fma.f64 x (.f64 (.f64 x -1/2) (+.f64 1/2 y)) (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 x 3) (-.f64 -1/8 (pow.f64 y 3)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) (cbrt.f64 (.f64 x (+.f64 y 1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 x (+.f64 1/2 y))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))))) (cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2)) (cbrt.f64 (.f64 x (-.f64 y 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (/.f64 (cbrt.f64 (.f64 x (+.f64 y -1/2))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 4) (.f64 1/16 (pow.f64 x 4))) (/.f64 1 (.f64 x (-.f64 y 1/2)))) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 4) (.f64 -1/16 (pow.f64 x 4))) (.f64 (.f64 x (+.f64 y -1/2)) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 4) (.f64 (pow.f64 x 4) -1/16)) (.f64 (.f64 x (+.f64 y -1/2)) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x y) 2) 3) (pow.f64 (.f64 1/4 (.f64 x x)) 3)) (/.f64 1 (.f64 x (-.f64 y 1/2)))) (+.f64 (pow.f64 (.f64 x y) 4) (pow.f64 (.f64 (.f64 x 1/2) (*.f64 x (+.f64 y 1/2))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 y x) 2) 3) (.f64 1/64 (pow.f64 (.f64 x x) 3))) (.f64 x (+.f64 y -1/2))) (+.f64 (pow.f64 (.f64 y x) 4) (pow.f64 (.f64 x (.f64 1/2 (.f64 x (+.f64 1/2 y)))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 6) (.f64 (pow.f64 x 6) -1/64)) x) (.f64 (+.f64 y -1/2) (+.f64 (pow.f64 (.f64 y x) 4) (pow.f64 (.f64 x (.f64 1/2 (*.f64 x (+.f64 1/2 y)))) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 6) (.f64 1/64 (pow.f64 x 6))) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))) (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 y 3) 1/8)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 6) (.f64 -1/64 (pow.f64 x 6))) (.f64 (.f64 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y)))) (pow.f64 x 3)) (+.f64 (pow.f64 y 3) -1/8)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 6) (.f64 (pow.f64 x 6) -1/64)) (.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1/8))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 6) (.f64 (pow.f64 x 6) -1/64)) (.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1/8))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x y) 3) 3) (pow.f64 (.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))) (-.f64 (+.f64 (pow.f64 (.f64 x y) 6) (.f64 1/64 (pow.f64 x 6))) (.f64 (pow.f64 (.f64 x y) 3) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 y x) 3) 3) (.f64 1/512 (pow.f64 (pow.f64 x 3) 3))) (.f64 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y)))) (+.f64 (pow.f64 (.f64 y x) 6) (-.f64 (.f64 1/64 (pow.f64 x 6)) (.f64 (pow.f64 (.f64 y x) 3) (.f64 (pow.f64 x 3) 1/8))))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (.f64 y x) 3) 3)) (.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (-.f64 (fma.f64 1/64 (pow.f64 x 6) (pow.f64 (.f64 y x) 6)) (.f64 (pow.f64 x 3) (.f64 1/8 (pow.f64 (.f64 y x) 3))))))
(/.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) (+.f64 (pow.f64 (pow.f64 y 3) 3) 1/512)) (.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (+.f64 (pow.f64 (.f64 y x) 6) (.f64 (.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 x 3)) (-.f64 1/8 (pow.f64 y 3))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) x) (-.f64 y 1/2))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 x (+.f64 y -1/2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) 1) (.f64 x (-.f64 y 1/2)))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 x (+.f64 y -1/2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (sqrt.f64 (.f64 x (-.f64 y 1/2)))) (sqrt.f64 (*.f64 x (-.f64 y 1/2))))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 x (+.f64 y -1/2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 (cbrt.f64 (.f64 x (-.f64 y 1/2))) (cbrt.f64 (.f64 x (-.f64 y 1/2))))) (cbrt.f64 (*.f64 x (-.f64 y 1/2))))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 x (+.f64 y -1/2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 (.f64 (sqrt.f64 x) (-.f64 (sqrt.f64 y) (sqrt.f64 1/2))) (.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 1/2)))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 (sqrt.f64 x) (.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 1/2)) (.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 y) (sqrt.f64 1/2))))))
(/.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) 1) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))
(.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2)))))) (sqrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 y 1/2))))))
(.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (.f64 x (+.f64 y 1/2))))))) (cbrt.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 y 1/2))))))
(.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (pow.f64 x 3)))
(/.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) x) (+.f64 y 1/2))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (+.f64 1/2 y)))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) 1) (.f64 x (+.f64 y 1/2)))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (+.f64 1/2 y)))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (sqrt.f64 (.f64 x (+.f64 y 1/2)))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (+.f64 1/2 y)))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (+.f64 1/2 y)))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2)) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (+.f64 1/2 y)))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2))) (/.f64 1 (*.f64 x (-.f64 y 1/2))))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (-.f64 1/2 y))
(/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 x y) (*.f64 x (+.f64 y 1/2))))))
(.f64 (fma.f64 1/4 (.f64 x x) (.f64 (.f64 y x) (.f64 x (+.f64 1/2 y)))) (/.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (pow.f64 x 3)) (+.f64 (pow.f64 y 3) 1/8)))
(.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (+.f64 (pow.f64 y 3) 1/8)) (/.f64 (fma.f64 (.f64 y (.f64 x x)) (+.f64 1/2 y) (.f64 x (.f64 x 1/4))) (pow.f64 x 3)))
(.f64 (.f64 x (+.f64 (.f64 x 1/4) (.f64 (.f64 y x) (+.f64 1/2 y)))) (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8))))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 2)) (.f64 x (neg.f64 (-.f64 y 1/2)))))
(.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (*.f64 x (+.f64 y -1/2))))
(/.f64 (neg.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (.f64 x (+.f64 y -1/2)))
(/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y)))
(neg.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (pow.f64 (.f64 x y) 2) (neg.f64 (.f64 (.f64 x 1/2) (*.f64 x (+.f64 y 1/2)))))))
(/.f64 (.f64 (pow.f64 x 3) (neg.f64 (+.f64 (pow.f64 y 3) 1/8))) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x (.f64 1/2 (*.f64 x (+.f64 1/2 y))))))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 (.f64 x -1/2) (+.f64 1/2 y)) (pow.f64 (*.f64 y x) 2)) (+.f64 -1/8 (neg.f64 (pow.f64 y 3)))))
(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (.f64 (.f64 x -1/2) (+.f64 1/2 y)) (pow.f64 (*.f64 y x) 2)) (-.f64 -1/8 (pow.f64 y 3))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(fabs.f64 (*.f64 x (+.f64 1/2 y)))
(log.f64 (exp.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x y (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 y x (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1/2 x (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))

localize16.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 1/2 y) x)
✓	75.2%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-*r/`
1214×	`distribute-lft-in`
1174×	`distribute-rgt-in`
988×	`associate-*l/`
944×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2912
1	679	2558
2	2812	2414

Stop Event

1×	node limit

Counts

138 → 121

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 40 to 31 computations (22.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`distribute-lft-in`
570×	`associate-/r*`
438×	`associate-/r/`
404×	`associate-/l*`
404×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	315	23
2	4306	19

Stop Event

1×	node limit

Counts

1 → 135

Calls

Call 1

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

Outputs

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

simplify154.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-+l-`
934×	`associate--l+`
914×	`associate--r+`
802×	`associate-+r-`
658×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	10903
1	1176	10245
2	5523	10207

Stop Event

1×	node limit

Counts

159 → 235

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

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))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(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))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(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))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 1/2 x (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (*.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))
(+.f64 (*.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))
(+.f64 (*.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))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.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))
(+.f64 (*.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))
(+.f64 (*.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))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.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))
(+.f64 (*.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))
(+.f64 (*.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))
(+.f64 (*.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))
(+.f64 (*.f64 (-.f64 1/2 y) x) (neg.f64 (log.f64 1/2)))
(-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 1/2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 1 (.f64 (+.f64 -1 (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))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (fma.f64 (+.f64 -1 (log.f64 2)) 1 (+.f64 1 (log.f64 1/2)))))
(+.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x (+.f64 (+.f64 (log.f64 2) -1) (+.f64 (log.f64 1/2) 1))))
(+.f64 (+.f64 (+.f64 (log.f64 2) 0) (log.f64 1/2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(-.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (-.f64 (neg.f64 (log.f64 2)) (log.f64 1/2)))
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(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 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (+.f64 -1 (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 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (.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 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (+.f64 -1 (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 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (.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))

eval620.0ms (6.1%)

Compiler: Compiled 26753 to 19408 computations (27.5% saved)

prune287.0ms (2.8%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1065	10	1075
Fresh	0	7	7
Picked	1	0	1
Done	2	6	8
Total	1068	23	1091

Accurracy

99.7%

Counts

1091 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.6%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
	3.1%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
	10.9%	(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 (/.f64 y x) (/.f64 1/2 x)))
	10.9%	(/.f64 (-.f64 1/4 (.f64 y y)) (.f64 (/.f64 1 x) (+.f64 y 1/2)))
	9.0%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	23.7%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	3.2%	(/.f64 1 (/.f64 1 (*.f64 x (+.f64 y 1/2))))
✓	87.9%	(-.f64 (-.f64 (log.f64 2) (-.f64 (*.f64 x y) 1)) 1)
	80.1%	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2))) 1)
	58.4%	(-.f64 (+.f64 (*.f64 1/2 x) 1) (-.f64 1 (log.f64 2)))
	23.8%	(-.f64 (.f64 x 1/2) (.f64 x y))
✓	88.8%	(-.f64 (log.f64 2) (*.f64 x y))
	59.4%	(+.f64 (/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y)) (log.f64 2))
	88.8%	(+.f64 (-.f64 1 (*.f64 x y)) (-.f64 (log1p.f64 1) 1))
✓	58.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	10.3%	(+.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (/.f64 1 x) (-.f64 1/2 y)))) (log.f64 2))
	57.5%	(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
	8.9%	(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
✓	23.8%	(*.f64 (-.f64 1/2 y) x)
	3.2%	(*.f64 (+.f64 y 1/2) x)
✓	42.3%	(*.f64 x (neg.f64 y))
✓	3.4%	(*.f64 1/2 x)
	57.9%	(log.f64 2)

Compiler

Compiled 252 to 195 computations (22.6% saved)

regimes68.0ms (0.7%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
19.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
16.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 369 to 227 computations (38.5% saved)

regimes76.0ms (0.8%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	y
30.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
91.1%	3	`y`

Compiler

Compiled 230 to 151 computations (34.3% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-15749.441687822138	-0.0072392850439019045

Results

21.0ms

144×

body

256

valid

Compiler

Compiled 214 to 174 computations (18.7% saved)

regimes63.0ms (0.6%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	y
21.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`x`
91.1%	3	`y`

Compiler

Compiled 189 to 120 computations (36.5% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-15749.441687822138	-0.0072392850439019045

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes46.0ms (0.5%)

Counts

18 → 2

Calls

Call 1

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

25.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
99.2%	2	`x`
91.1%	3	`y`

Compiler

Compiled 151 to 91 computations (39.7% saved)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-15749.441687822138	-0.0072392850439019045

Results

27.0ms	138×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 160 to 120 computations (25% saved)

regimes125.0ms (1.2%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

104.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
83.0%	2	`x`
70.8%	7	`y`

Compiler

Compiled 145 to 88 computations (39.3% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1.4522727146704035e-62	-9.085348023126591e-69

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 160 to 129 computations (19.4% saved)

regimes91.0ms (0.9%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

71.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
82.9%	2	`x`
70.2%	7	`y`

Compiler

Compiled 139 to 83 computations (40.3% saved)

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-1.4522727146704035e-62	-9.085348023126591e-69

Results

25.0ms

144×

body

256

valid

Compiler

Compiled 124 to 102 computations (17.7% saved)

regimes20.0ms (0.2%)

Accuracy

Total -26.3b remaining (-71.2%)

Threshold costs -26.3b (-71.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
42.3%	1	`x`
42.3%	1	`y`

Compiler

Compiled 137 to 81 computations (40.9% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
28×	`*-commutative`
20×	`sub-neg`
14×	`neg-sub0`
12×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	236
1	64	236
2	85	236
3	102	236
4	118	236
5	123	236
6	125	236
7	126	236

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 (-.f64 1/2 y) x) 1) (-.f64 1 (log.f64 2))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -47) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6715941175764339/463168356949264781694283940034751631413079938662562256157830336031652518559744) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -5372752940611471/926336713898529563388567880069503262826159877325124512315660672063305037119488) (*.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 (-.f64 1/2 y) x) 1) (-.f64 1 (log.f64 2))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) (-.f64 1 (log.f64 2))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 1) (+.f64 (log.f64 2) -1)))
(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 -47) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6715941175764339/463168356949264781694283940034751631413079938662562256157830336031652518559744) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -6715941175764339/463168356949264781694283940034751631413079938662562256157830336031652518559744) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -5372752940611471/926336713898529563388567880069503262826159877325124512315660672063305037119488) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 104 to 76 computations (26.9% saved)

soundness473.0ms (4.7%)

Algorithm

3×	egg-herbie

Rules

1042×	`associate-l`
1042×	`associate-l`
1014×	`+-commutative`
912×	`associate-/r*`
912×	`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
0	157	2193
1	396	2073
2	1955	2073
3	7844	2073
0	11	21
1	21	21
2	32	21
3	51	21
4	69	21
5	113	21
6	188	21
7	238	21
8	329	21
9	490	21
10	544	21
11	571	21
12	650	21
13	931	21
14	1815	21
15	5167	21
16	6110	21

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 56 to 31 computations (44.6% saved)

end58.0ms (0.6%)

Compiler: Compiled 90 to 51 computations (43.3% saved)