Details

analyze168.0ms (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)

sample3.6s (34.4%)

Results

2.2s	2468×	body	8192	exit
1.1s	7796×	body	256	valid
98.0ms	197×	body	1024	valid
71.0ms	262×	body	512	valid
20.0ms	163×	body	256	infinite
2.0ms	1×	body	2048	valid

Bogosity

preprocess84.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

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

Error

0.43%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.43%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.4%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series61.0ms (0.6%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
18.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite68.0ms (0.7%)

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

Outputs

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

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

91 → 80

Calls

Call 1

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

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

eval14.0ms (0.1%)

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

prune22.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Error

Counts

81 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	17.3%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	3.28%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
✓	0.43%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	9.58%	(-.f64 (log.f64 2) (*.f64 x y))
▶	0.43%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	22.33%	(+.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))))
▶	17.31%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	25.03%	(.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))))))
▶	55.75%	(*.f64 x (neg.f64 y))

Compiler

Compiled 231 to 162 computations (29.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (log1p.f64 (exp.f64 x)))
✓	0.02%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	0.05%	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
	0.4%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series45.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-inf	(log1p.f64 (log1p.f64 (exp.f64 x)))
16.0ms	x	@	inf	(log1p.f64 (log1p.f64 (exp.f64 x)))
1.0ms	x	@	0	(log1p.f64 (log1p.f64 (exp.f64 x)))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
0.0ms	x	@	0	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))

rewrite157.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`*-commutative`
790×	`unswap-sqr`
570×	`swap-sqr`
538×	`distribute-lft-in`
532×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	225	43
2	2663	43

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify172.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate--r+`
962×	`fma-def`
704×	`associate-r`
632×	`associate-+l+`
632×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	504	11813
1	1368	10813
2	7558	10813

Stop Event

1×	node limit

Counts

241 → 290

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)))
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2))))))
(+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/6 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) 1))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(+.f64 -1 (+.f64 (log1p.f64 (exp.f64 x)) 1))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
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(log.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))

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

localize4.0ms (0%)

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 (-.f64 1/2 y) x)
✓	0.03%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

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

rewrite110.0ms (1.1%)

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

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

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

148 → 201

Calls

Call 1

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

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(*.f64 (-.f64 1/2 y) x)
✓	0.04%	(+.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))))
✓	0.17%	(*.f64 -1/192 (pow.f64 x 4))
✓	10.57%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))

Compiler

Compiled 77 to 61 computations (20.8% saved)

series3.0ms (0%)

Counts

3 → 33

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.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))))
0.0ms	x	@	inf	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))
0.0ms	x	@	0	(*.f64 -1/192 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 -1/192 (pow.f64 x 4))
0.0ms	x	@	0	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))

rewrite127.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`associate-/r*`
492×	`associate-+l+`
446×	`add-sqr-sqrt`
434×	`+-commutative`
430×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	93
1	450	93
2	5850	93

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))

(*.f64 -1/192 (pow.f64 x 4))

(+.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))))

Outputs

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4) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (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))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))))

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1648×	`associate-/l*`
1016×	`+-commutative`
878×	`associate-/r*`
812×	`*-commutative`
744×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	10745
1	962	10311
2	3673	10089

Stop Event

1×	node limit

Counts

163 → 206

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.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) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/192 (pow.f64 x 4)))) (-.f64 1 (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (-.f64 1 (.f64 1/8 (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/8 (.f64 x x)))) (-.f64 1 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(-.f64 (/.f64 (.f64 1/36864 (pow.f64 x 8)) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (.f64 1/8 (*.f64 x x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 1/8 (*.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (+.f64 (.f64 1/8 (.f64 x x)) (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1)
(-.f64 (+.f64 (.f64 1/8 (.f64 x x)) (/.f64 (*.f64 1/36864 (pow.f64 x 8)) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2))))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))))
(-.f64 (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (exp.f64 (log1p.f64 (.f64 1/8 (.f64 x x))))) 1)
(-.f64 (+.f64 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4))) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (+.f64 (.f64 1/8 (.f64 x x)) (log.f64 2)) (exp.f64 (log1p.f64 (*.f64 -1/192 (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -1/192 (pow.f64 x 4))) 1) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 1)
(.f64 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2)) (/.f64 1 (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (.f64 x x)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (.f64 x x))))) (+.f64 (*.f64 (pow.f64 x 6) 1/512) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2)) (-.f64 (.f64 1/8 (*.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (.f64 (pow.f64 x 4) 1/64)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (*.f64 x x))))
(/.f64 (-.f64 (.f64 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4))) (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))) (pow.f64 (log.f64 2) 2)) (-.f64 (fma.f64 1/8 (.f64 x x) (*.f64 -1/192 (pow.f64 x 4))) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4))) 3)) (+.f64 (.f64 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4))) (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4))) (log.f64 2)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2))) (neg.f64 (-.f64 (.f64 1/8 (*.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (*.f64 x x)))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2)) 1) (-.f64 (.f64 1/8 (*.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2)) (sqrt.f64 (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (sqrt.f64 (-.f64 (.f64 1/8 (*.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (cbrt.f64 (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))) (cbrt.f64 (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2)) (+.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (sqrt.f64 1/8)))) (-.f64 (*.f64 x (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (.f64 x x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 1/8 (*.f64 x x)))))))
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(pow.f64 (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)))) 1)
(pow.f64 (sqrt.f64 (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))))) 2)
(pow.f64 (cbrt.f64 (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))))) 3)
(pow.f64 (pow.f64 (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)))) 3) 1/3)
(sqrt.f64 (pow.f64 (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)))) 2))
(log.f64 (exp.f64 (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))))))
(log.f64 (+.f64 1 (expm1.f64 (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)))))))
(cbrt.f64 (pow.f64 (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)))) 3))
(expm1.f64 (log1p.f64 (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))))))
(exp.f64 (log.f64 (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))))))
(exp.f64 (.f64 (log.f64 (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))))) 1))
(log1p.f64 (expm1.f64 (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))))))
(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))))
(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 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (-.f64 1/2 y)))
(fma.f64 1 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (.f64 x x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (.f64 x x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 -1 (*.f64 y x))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(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 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (.f64 x x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (*.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 (-.f64 1/2 y) x (.f64 -1/192 (pow.f64 x 4))))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 x (+.f64 (.f64 1/8 x) (-.f64 1/2 y))))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (.f64 x x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (*.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 (-.f64 1/2 y) x (.f64 -1/192 (pow.f64 x 4))))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 x (+.f64 (.f64 1/8 x) (-.f64 1/2 y))))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/192 (pow.f64 x 4)))) (-.f64 1 (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1)
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (-.f64 1 (.f64 1/8 (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (+.f64 1 (.f64 -1/8 (.f64 x x))))
(fma.f64 1/8 (*.f64 x x) (expm1.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4))))
(+.f64 (fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4))) (expm1.f64 (log1p.f64 (log.f64 2))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (.f64 x x))) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/8 (.f64 x x)))) (-.f64 1 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (expm1.f64 (log1p.f64 (.f64 1/8 (.f64 x x)))))
(-.f64 (/.f64 (.f64 1/36864 (pow.f64 x 8)) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (.f64 1/8 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/36864 (/.f64 (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2))) (pow.f64 x 8))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2))))) (.f64 1/8 (.f64 x x)))
(-.f64 (fma.f64 1/8 (.f64 x x) (/.f64 (.f64 1/36864 (pow.f64 x 8)) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(-.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 8) (/.f64 1/36864 (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 1/8 (.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 1/8 (*.f64 x x)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
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(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(expm1.f64 (log1p.f64 (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))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(exp.f64 (log.f64 (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))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(exp.f64 (.f64 (log.f64 (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))))) 1))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log1p.f64 (expm1.f64 (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))))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (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))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.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 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (neg.f64 (.f64 x y)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 x 1/2 (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4%	(log1p.f64 (exp.f64 x))
✓	1.13%	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
✓	1.14%	(pow.f64 (log1p.f64 (exp.f64 x)) 2)
✓	23.51%	(.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))))))

Compiler

Compiled 126 to 40 computations (68.3% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.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))))))
1.0ms	x	@	-inf	(.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))))))
1.0ms	x	@	inf	(.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))))))
1.0ms	y	@	inf	(.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))))))
1.0ms	y	@	0	(.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))))))

rewrite168.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`associate-/r*`
654×	`associate-+l+`
440×	`add-sqr-sqrt`
426×	`*-un-lft-identity`
418×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	121
1	450	51
2	6032	51

Stop Event

1×	node limit

Counts

3 → 263

Calls

Call 1

Inputs

(*.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))))))

(pow.f64 (log1p.f64 (exp.f64 x)) 2)

(pow.f64 (log1p.f64 (exp.f64 x)) 3)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))))))

simplify194.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-def`
722×	`+-commutative`
706×	`associate-/l*`
698×	`associate-/l/`
574×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	743	20265
1	2147	18679

Stop Event

1×	node limit

Counts

311 → 374

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

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

eval771.0ms (7.4%)

Compiler: Compiled 37865 to 19765 computations (47.8% saved)

prune363.0ms (3.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1231	7	1238
Fresh	1	2	3
Picked	1	0	1
Done	4	1	5
Total	1237	10	1247

Error

Counts

1247 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	17.3%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	19.76%	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
▶	1.28%	(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 2) (*.f64 x y))
	9.58%	(-.f64 (log.f64 2) (*.f64 x y))
▶	43.16%	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
▶	42.89%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	72.18%	(*.f64 (-.f64 1/2 y) x)
✓	55.75%	(*.f64 x (neg.f64 y))
▶	42.59%	(log1p.f64 (exp.f64 x))
	43.4%	(log.f64 2)

Compiler

Compiled 178 to 144 computations (19.1% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (log1p.f64 (exp.f64 x)) 2)
✓	0.02%	(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 2) (*.f64 x y))
	0.4%	(log1p.f64 (exp.f64 x))
✓	1.15%	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 2)

Compiler

Compiled 36 to 17 computations (52.8% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (log1p.f64 (exp.f64 x)) 2)
0.0ms	x	@	0	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 2)
0.0ms	x	@	inf	(+.f64 (log1p.f64 (exp.f64 x)) 2)
0.0ms	x	@	0	(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 2) (*.f64 x y))
0.0ms	x	@	-inf	(+.f64 (log1p.f64 (exp.f64 x)) 2)

rewrite135.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1470×	`associate-*l/`
548×	`associate-+l+`
290×	`+-commutative`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	274	45
2	3834	45

Stop Event

1×	node limit

Counts

3 → 276

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x)))))) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (+.f64 (log1p.f64 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (-.f64 4 (*.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 0 (*.f64 (log1p.f64 (exp.f64 x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)) (neg.f64 (+.f64 (log1p.f64 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(pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 16) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) 64) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 16 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 64) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 512 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))) (-.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 64) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1142×	`associate-+l+`
1134×	`fma-def`
1102×	`associate-+r+`
650×	`+-commutative`
608×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	679	15444
1	1721	14522

Stop Event

1×	node limit

Counts

324 → 398

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 2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 2 (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) -2))
(+.f64 2 (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 0))
(+.f64 2 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 0))
(+.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) -2)
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 2)
(+.f64 -2 (+.f64 2 (log1p.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x)))))) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (+.f64 (log1p.f64 (exp.f64 x)) 4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (-.f64 4 (*.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) -2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0) (log1p.f64 (exp.f64 x)))
(/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 0 (*.f64 (log1p.f64 (exp.f64 x)) 0))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8)) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0)) (log1p.f64 (exp.f64 x)))
(/.f64 (.f64 1 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 0 (.f64 (log1p.f64 (exp.f64 x)) 0))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8))) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) 1) (+.f64 (log1p.f64 (exp.f64 x)) 4))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) 1) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) 1) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (-.f64 4 (.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) -2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0) 1) (log1p.f64 (exp.f64 x)))
(/.f64 (.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 0 (.f64 (log1p.f64 (exp.f64 x)) 0))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 16) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 4))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) 64) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 16 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 64) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x))))))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 64) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8)))
(pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 3 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 2)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)

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 y (neg.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 y (neg.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))
(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 y (neg.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 y (neg.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 2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 2 (log.f64 2)))
(fma.f64 1/2 x (+.f64 2 (log.f64 2)))
(+.f64 2 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 2 (log.f64 2))))
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) 2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 2 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(+.f64 (fma.f64 1/2 x 2) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(+.f64 2 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) -2))
(log1p.f64 (exp.f64 x))
(+.f64 2 (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 0))
(log1p.f64 (exp.f64 x))
(+.f64 2 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 0))
(log1p.f64 (exp.f64 x))
(+.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) -2)
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 2)
(log1p.f64 (exp.f64 x))
(+.f64 -2 (+.f64 2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (+.f64 4 (log1p.f64 (exp.f64 x))))
(.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (+.f64 4 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2)) (+.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 8 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (+.f64 4 (log1p.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x)))))) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (+.f64 4 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2)) (+.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 8 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (+.f64 (log1p.f64 (exp.f64 x)) 4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (+.f64 4 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (+.f64 4 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2)) (+.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 8 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (-.f64 4 (*.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (+.f64 4 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2)) (+.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 8 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0) (log1p.f64 (exp.f64 x)))
(/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))
(/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 0 (*.f64 (log1p.f64 (exp.f64 x)) 0))))
(/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (+.f64 4 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8)) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (*.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (+.f64 4 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2)) (+.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 8 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0)) (log1p.f64 (exp.f64 x)))
(/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))
(/.f64 (.f64 1 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 0 (.f64 (log1p.f64 (exp.f64 x)) 0))))
(/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4) (+.f64 4 (log1p.f64 (exp.f64 x))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8))) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 4 (.f64 2 (+.f64 2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (+.f64 4 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2)) (+.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) -8) (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) (+.f64 8 (*.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2) -4)) (/.f64 (sqrt.f64 (+.f64 4 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
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(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -4))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(/.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (log1p.f64 (exp.f64 x)) -2))
(/.f64 (.f64 1 (neg.f64 (+.f64 8 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (*.f64 -2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8) (+.f64 4 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 8 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (*.f64 -2 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8)) (sqrt.f64 (+.f64 4 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -4))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(/.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)) (sqrt.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (sqrt.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (.f64 -2 (log1p.f64 (exp.f64 x)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 4 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -4))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -4) 1) (+.f64 (log1p.f64 (exp.f64 x)) -2))
(/.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (log1p.f64 (exp.f64 x)) -2))
(/.f64 (.f64 (+.f64 8 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (*.f64 -2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8) (+.f64 4 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (-.f64 2 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (log1p.f64 (exp.f64 x)) -2))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -4)) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(/.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (log1p.f64 (exp.f64 x)) -2))
(/.f64 (.f64 (neg.f64 (+.f64 8 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (*.f64 -2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8) (+.f64 4 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (*.f64 -2 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8)) (sqrt.f64 (+.f64 4 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -4)) (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(/.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)) (sqrt.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (sqrt.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (.f64 -2 (log1p.f64 (exp.f64 x)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 4 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -4 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 16) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 4))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) -16) (/.f64 (+.f64 4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) -16) (+.f64 (log1p.f64 (exp.f64 x)) -2)) (+.f64 4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) 64) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -2))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 16 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) -64) (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) 16) (*.f64 4 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) -64) (+.f64 (log1p.f64 (exp.f64 x)) -2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (fma.f64 4 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 16)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 64) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (*.f64 2 (log1p.f64 (exp.f64 x))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) -64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) -8) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (*.f64 -2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) -64) (.f64 (+.f64 -8 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 4 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 4 (.f64 2 (log1p.f64 (exp.f64 x))))))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 64) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8)))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3)) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (-.f64 64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 4 (.f64 -2 (log1p.f64 (exp.f64 x))))))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3)) (.f64 (+.f64 64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 8))) (+.f64 4 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) -2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 1)
(+.f64 2 (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 2)
(+.f64 2 (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 3)
(+.f64 2 (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(+.f64 2 (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 2))
(fabs.f64 (+.f64 2 (log1p.f64 (exp.f64 x))))
(log.f64 (exp.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (log1p.f64 (exp.f64 x))))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log.f64 (+.f64 3 (log1p.f64 (exp.f64 x)))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))) 1))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(+.f64 2 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 2)
(+.f64 2 (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(+.f64 2 (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)
(+.f64 2 (log1p.f64 (exp.f64 x)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.02%	(*.f64 (-.f64 1/2 y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(+.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))

rewrite73.0ms (0.7%)

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

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.4%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

localize46.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.02%

(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))

0.17%

(*.f64 -1/192 (pow.f64 x 4))

10.57%

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))

Compiler

Compiled 69 to 57 computations (17.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))

0.0ms

(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))

0.0ms

-inf

(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))

rewrite110.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`associate-*l/`
438×	`associate-+l+`
390×	`add-sqr-sqrt`
386×	`associate-/r*`
374×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	400	41
2	5084	41

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))

Outputs

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simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1358×	`distribute-lft-in`
1262×	`distribute-rgt-in`
1176×	`associate-/l*`
848×	`*-commutative`
642×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	264	7878
1	734	7654
2	2795	7654

Stop Event

1×	node limit

Counts

88 → 145

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))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (-.f64 1 (fma.f64 1/2 x (.f64 x (.f64 x 1/8)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (-.f64 1 (.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/8)))) (-.f64 1 (+.f64 (*.f64 1/2 x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 x))) (-.f64 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (.f64 1/2 x)))
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 1/2 x) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (/.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 2) (-.f64 (.f64 1/2 x) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(-.f64 (/.f64 (.f64 (pow.f64 x 8) 1/36864) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (fma.f64 1/2 x (.f64 x (*.f64 x 1/8)))))
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(/.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 1/2 x))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 1/2 x))))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (-.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (*.f64 1/2 x))))))
(pow.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(exp.f64 (log.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 x (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x 1/2 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1 (.f64 1/2 x) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 1/2 x))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 1/2 x (.f64 -1/192 (pow.f64 x 4))))
(fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (.f64 x (.f64 x 1/8))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (-.f64 1 (fma.f64 1/2 x (.f64 x (.f64 x 1/8)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1) (fma.f64 1/2 x (.f64 x (.f64 x 1/8))))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (expm1.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (-.f64 1 (.f64 1/2 x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1) (.f64 1/2 x))
(fma.f64 1/2 x (expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))) 1)
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/8)))) (-.f64 1 (+.f64 (*.f64 1/2 x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/8)))) 1) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/8)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 x))) (-.f64 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/2 x))) 1) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (expm1.f64 (log1p.f64 (.f64 1/2 x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 1/64)) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (*.f64 1/2 x))
(-.f64 (fma.f64 1/2 x (/.f64 (pow.f64 x 4) (/.f64 (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 1/64))) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (fma.f64 1/2 x (/.f64 (pow.f64 x 4) (-.f64 (/.f64 (.f64 x x) 1/8) (/.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 1/64)))) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (*.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 1/2 x) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (/.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 2) (-.f64 (.f64 1/2 x) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 2)) (-.f64 (.f64 1/2 x) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 2)) (-.f64 (.f64 1/2 x) (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (/.f64 (.f64 (pow.f64 x 8) 1/36864) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (fma.f64 1/2 x (.f64 x (*.f64 x 1/8)))))
(-.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2))) 1/36864)) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (fma.f64 1/2 x (.f64 x (.f64 x 1/8)))))
(-.f64 (.f64 (/.f64 (pow.f64 x 8) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2))) 1/36864) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2))) (.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(-.f64 (+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (.f64 1/36864 (/.f64 (pow.f64 x 8) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(-.f64 (+.f64 (.f64 1/2 x) (exp.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1) (.f64 1/2 x))
(fma.f64 1/2 x (expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(-.f64 (+.f64 (.f64 1/2 x) (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(+.f64 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 1/64)) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) (*.f64 1/2 x))
(-.f64 (fma.f64 1/2 x (/.f64 (pow.f64 x 4) (/.f64 (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 1/64))) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (fma.f64 1/2 x (/.f64 (pow.f64 x 4) (-.f64 (/.f64 (.f64 x x) 1/8) (/.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 1/64)))) (/.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 2) (-.f64 (.f64 x (*.f64 x 1/8)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (+.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (exp.f64 (log1p.f64 (.f64 1/2 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/2 x))) 1) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (expm1.f64 (log1p.f64 (.f64 1/2 x))))
(-.f64 (+.f64 (fma.f64 1/2 x (.f64 x (.f64 x 1/8))) (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1) (fma.f64 1/2 x (.f64 x (.f64 x 1/8))))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (expm1.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(-.f64 (+.f64 (fma.f64 1/2 x (.f64 x (.f64 x 1/8))) (/.f64 (*.f64 (pow.f64 x 8) 1/36864) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2))))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))))
(-.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2))) 1/36864)) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 -1/192 (pow.f64 x 4) (neg.f64 (log.f64 2)))) (fma.f64 1/2 x (.f64 x (.f64 x 1/8)))))
(-.f64 (.f64 (/.f64 (pow.f64 x 8) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2))) 1/36864) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2))) (.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(-.f64 (+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (.f64 1/36864 (/.f64 (pow.f64 x 8) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (exp.f64 (log1p.f64 (.f64 x (*.f64 x 1/8))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/8)))) 1) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
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(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 3)) (fma.f64 x (.f64 x 1/4) (.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (+.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x -1/2)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) 3)) (fma.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (+.f64 (fma.f64 x (.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 x -1/2)) (.f64 x (.f64 x 1/4))))
(pow.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1)
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 2)
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 3)
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(pow.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 3) 1/3)
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2))
(fabs.f64 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))
(log.f64 (exp.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 3))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 x (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x 1/2 (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1 (.f64 1/2 x) (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))) (.f64 1/2 x))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 1/2 x))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) (*.f64 1/2 x))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))

eval446.0ms (4.3%)

Compiler: Compiled 20426 to 12322 computations (39.7% saved)

prune206.0ms (2%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	796	7	803
Fresh	1	3	4
Picked	0	1	1
Done	1	4	5
Total	798	15	813

Error

Counts

813 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	17.3%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	44.54%	(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
	87.57%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶	89.33%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	72.27%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
▶	18.16%	(-.f64 (-.f64 (+.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) 2) (.f64 x y))
	10.41%	(-.f64 (-.f64 (+.f64 (log.f64 2) 2) 2) (*.f64 x y))
▶	9.58%	(-.f64 (log.f64 2) (*.f64 x y))
✓	43.16%	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
✓	42.89%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	72.18%	(*.f64 (-.f64 1/2 y) x)
✓	55.75%	(*.f64 x (neg.f64 y))
▶	96.42%	(*.f64 1/2 x)
✓	42.59%	(log1p.f64 (exp.f64 x))
▶	43.4%	(log.f64 2)

Compiler

Compiled 240 to 189 computations (21.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify69.0ms (0.7%)

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))

localize3.0ms (0%)

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

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	8.94%	(.f64 x (-.f64 1/4 (.f64 y y)))
✓	12.21%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	250	38
2	3472	32

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (*.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))))) 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(*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) 1) (+.f64 1/4 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (sqrt.f64 (+.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) 1) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/4 (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))))))

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1064×	`unswap-sqr`
566×	`associate-/l*`
488×	`associate-l`
484×	`associate-r`
398×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	349	5529
1	937	4977
2	4532	4977

Stop Event

1×	node limit

Counts

171 → 178

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)
	0.02%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	0.03%	(-.f64 (-.f64 (+.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 2) 2) (.f64 x y))
✓	1.15%	(-.f64 (+.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2) 2)

Compiler

Compiled 52 to 40 computations (23.1% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite128.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`associate-+l+`
512×	`associate-/r*`
434×	`associate-/l*`
406×	`+-commutative`
374×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	329	57
2	4770	57

Stop Event

1×	node limit

Counts

3 → 349

Calls

Call 1

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

Outputs

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

simplify258.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1032×	`distribute-lft-in`
962×	`+-commutative`
946×	`distribute-rgt-in`
802×	`associate-r`
658×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	852	21199
1	2402	20759

Stop Event

1×	node limit

Counts

397 → 535

Calls

Call 1

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

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

eval566.0ms (5.4%)

Compiler: Compiled 20736 to 14392 computations (30.6% saved)

prune231.0ms (2.2%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	800	8	808
Fresh	1	4	5
Picked	1	0	1
Done	1	8	9
Total	803	20	823

Error

Counts

823 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	17.3%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	87.57%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	85.18%	(/.f64 (.f64 (.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
	96.76%	(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
	89.56%	(/.f64 (neg.f64 (.f64 x (.f64 y y))) (+.f64 1/2 y))
	72.27%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	72.45%	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) 2) 2) (.f64 x y))
	10.41%	(-.f64 (-.f64 (+.f64 (log.f64 2) 2) 2) (*.f64 x y))
	18.14%	(-.f64 (+.f64 (+.f64 2 (log1p.f64 1)) (-.f64 (.f64 1/2 x) 2)) (.f64 x y))
✓	9.58%	(-.f64 (log.f64 2) (*.f64 x y))
✓	43.16%	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
✓	42.89%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	91%	(.f64 (/.f64 x (-.f64 1/4 (.f64 y y))) (.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
	92.47%	(.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
✓	72.18%	(*.f64 (-.f64 1/2 y) x)
	87.56%	(.f64 (-.f64 1/4 (.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
✓	55.75%	(*.f64 x (neg.f64 y))
✓	96.42%	(*.f64 1/2 x)
✓	42.59%	(log1p.f64 (exp.f64 x))
✓	43.4%	(log.f64 2)

Compiler

Compiled 223 to 167 computations (25.1% saved)

regimes80.0ms (0.8%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
15.0ms	x
13.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.43%	1	`x`
0.43%	1	`y`
0.43%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 348 to 211 computations (39.4% saved)

regimes51.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	x
22.0ms	y

Results

Error	Segments	Branch
0.46%	2	`x`
9.58%	1	`y`

Compiler

Compiled 199 to 127 computations (36.2% saved)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1465.171460870141	-0.009570322178849861

Results

28.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes57.0ms (0.5%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	x
22.0ms	y

Results

Error	Segments	Branch
0.97%	2	`x`
9.58%	1	`y`

Compiler

Compiled 150 to 92 computations (38.7% saved)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-1465.171460870141	-0.009570322178849861

Results

26.0ms	126×	body	256	valid
4.0ms	9×	body	1024	valid
2.0ms	9×	body	512	valid

Compiler

Compiled 160 to 120 computations (25% saved)

regimes105.0ms (1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

69.0ms	y
23.0ms	x

Results

Error	Segments	Branch
17.8%	2	`x`
25.38%	7	`y`

Compiler

Compiled 144 to 89 computations (38.2% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-5.432827465064744e-17	-1.307314296900667e-17

Results

13.0ms

96×

body

256

valid

Compiler

Compiled 112 to 90 computations (19.6% saved)

regimes90.0ms (0.9%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

72.0ms	y
15.0ms	x

Results

Error	Segments	Branch
18.26%	2	`x`
25.91%	7	`y`

Compiler

Compiled 138 to 84 computations (39.1% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-5.432827465064744e-17	-1.307314296900667e-17

Results

13.0ms

96×

body

256

valid

Compiler

Compiled 88 to 72 computations (18.2% saved)

regimes25.0ms (0.2%)

Accuracy

Total -27.3b remaining (-76.5%)

Threshold costs -27.3b (-76.5%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
7.0ms	x

Results

Error	Segments	Branch
55.75%	1	`x`
55.75%	1	`y`

Compiler

Compiled 136 to 82 computations (39.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	181
1	53	181
2	65	181
3	70	181
4	72	181

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -116) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -7301667457314601/162259276829213363391578010288128) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -4381000474388761/81129638414606681695789005144064) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -116) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -7301667457314601/162259276829213363391578010288128) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -7301667457314601/162259276829213363391578010288128) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -4381000474388761/81129638414606681695789005144064) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 82 to 59 computations (28% saved)

soundness195.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end55.0ms (0.5%)

Compiler: Compiled 70 to 38 computations (45.7% saved)

Details

analyze168.0ms (1.6%)

sample3.6s (34.4%)

preprocess84.0ms (0.8%)

simplify78.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series61.0ms (0.6%)

rewrite68.0ms (0.7%)

simplify84.0ms (0.8%)

eval14.0ms (0.1%)

prune22.0ms (0.2%)

localize20.0ms (0.2%)

series45.0ms (0.4%)

rewrite157.0ms (1.5%)

simplify172.0ms (1.7%)

localize4.0ms (0%)

localize22.0ms (0.2%)

series5.0ms (0.1%)

rewrite110.0ms (1.1%)

simplify115.0ms (1.1%)

localize48.0ms (0.5%)

series3.0ms (0%)

rewrite127.0ms (1.2%)

simplify140.0ms (1.3%)

localize36.0ms (0.3%)

series8.0ms (0.1%)

rewrite168.0ms (1.6%)

simplify194.0ms (1.9%)

eval771.0ms (7.4%)

prune363.0ms (3.5%)

localize26.0ms (0.3%)

series1.0ms (0%)

rewrite135.0ms (1.3%)

simplify147.0ms (1.4%)

localize11.0ms (0.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite73.0ms (0.7%)

simplify57.0ms (0.5%)

localize5.0ms (0%)

localize46.0ms (0.4%)

series1.0ms (0%)

rewrite110.0ms (1.1%)

simplify123.0ms (1.2%)

eval446.0ms (4.3%)

prune206.0ms (2%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite67.0ms (0.6%)

simplify69.0ms (0.7%)

localize3.0ms (0%)

localize19.0ms (0.2%)

series4.0ms (0%)

rewrite85.0ms (0.8%)

simplify109.0ms (1%)

localize3.0ms (0%)

localize27.0ms (0.3%)

series2.0ms (0%)

rewrite128.0ms (1.2%)

simplify258.0ms (2.5%)

eval566.0ms (5.4%)

prune231.0ms (2.2%)

regimes80.0ms (0.8%)

regimes51.0ms (0.5%)

bsearch31.0ms (0.3%)

regimes57.0ms (0.5%)

bsearch34.0ms (0.3%)

regimes105.0ms (1%)

bsearch15.0ms (0.1%)

regimes90.0ms (0.9%)

bsearch14.0ms (0.1%)

regimes25.0ms (0.2%)

simplify10.0ms (0.1%)

soundness195.0ms (1.9%)

end55.0ms (0.5%)

Profiling