Details

analyze190.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.8s (34.4%)

Results

2.4s	2471×	body	8192	exit
1.2s	7783×	body	256	valid
124.0ms	204×	body	1024	valid
73.0ms	267×	body	512	valid
19.0ms	132×	body	256	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess81.0ms (0.7%)

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)

simplify74.0ms (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

0.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(-.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
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.7b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series47.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
16.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
5.0ms	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))

rewrite96.0ms (0.9%)

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)))))))

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

91 → 80

Calls

Call 1

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

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

eval17.0ms (0.1%)

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

prune16.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Error

0.4b

Counts

81 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.0b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	17.3b	(/.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)))))
✓	0.8b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	6.0b	(-.f64 (log.f64 2) (*.f64 x y))
▶	15.4b	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
▶	12.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	34.6b	(*.f64 x (neg.f64 y))

Compiler

Compiled 169 to 114 computations (32.5% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))

rewrite65.0ms (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)))))))

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)))))))

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite82.0ms (0.7%)

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

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

148 → 201

Calls

Call 1

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

Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (-.f64 1 (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
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(/.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 (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
✓	0.0b	(pow.f64 x 2)
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	0.0b	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))

Compiler

Compiled 47 to 36 computations (23.4% saved)

series3.0ms (0%)

Counts

3 → 21

Calls

12 calls:

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

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`associate-*r/`
1474×	`associate-*l/`
338×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
324×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	334	59
2	4336	59

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

Outputs

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

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

simplify169.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

798×	`associate-/r*`
688×	`+-commutative`
630×	`distribute-lft-neg-in`
600×	`distribute-rgt-neg-in`
568×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	10892
1	1041	10118
2	4171	10056

Stop Event

1×	node limit

Counts

172 → 250

Calls

Call 1

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

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

eval444.0ms (4%)

Compiler: Compiled 17020 to 12868 computations (24.4% saved)

prune128.0ms (1.1%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	620	12	632
Fresh	1	0	1
Picked	1	0	1
Done	1	4	5
Total	623	16	639

Error

0.4b

Counts

639 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.0b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	23.9b	(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
✓	0.8b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.0b	(-.f64 (log.f64 2) (*.f64 x y))
	23.6b	(+.f64 (/.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))))) (log.f64 2))
	16.0b	(+.f64 (.f64 (-.f64 1/2 y) x) (-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (.f64 x (*.f64 x 1/8))))) 1))
▶	15.4b	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))
▶	28.7b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	20.5b	(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	36.6b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	45.5b	(*.f64 (-.f64 1/2 y) x)
▶	49.2b	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
▶	61.9b	(.f64 x (.f64 1/8 x))
✓	34.6b	(*.f64 x (neg.f64 y))
	28.8b	(log.f64 2)
	20.5b	(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))

Compiler

Compiled 424 to 341 computations (19.6% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/8 (.f64 x x)) (log.f64 2))
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	0.0b	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))

Compiler

Compiled 47 to 29 computations (38.3% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`associate-*r/`
1444×	`associate-*l/`
338×	`add-sqr-sqrt`
326×	`pow1`
326×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	332	52
2	4376	52

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))
(+.f64 (.f64 1/8 (.f64 x x)) (log.f64 2))

Outputs

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

simplify129.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

816×	`associate-/r*`
688×	`+-commutative`
644×	`distribute-lft-neg-in`
602×	`distribute-rgt-neg-in`
562×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	11174
1	1021	9938
2	4236	9828

Stop Event

1×	node limit

Counts

170 → 236

Calls

Call 1

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

Outputs
(+.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 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (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 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 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 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 x (.f64 1/8 x))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 (-.f64 1/2 y) x) (.f64 1/8 (pow.f64 x 2)))
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(*.f64 x (fma.f64 1/8 x (-.f64 1/2 y)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 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 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 x (.f64 1/8 x))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 (-.f64 1/2 y) x) (.f64 1/8 (pow.f64 x 2)))
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(*.f64 x (fma.f64 1/8 x (-.f64 1/2 y)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 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 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(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 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (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 1/8 (pow.f64 x 2))
(.f64 x (.f64 1/8 x))
(.f64 1/8 (.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (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 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 x (.f64 1/8 x))
(.f64 1/8 (.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (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 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1/2 y) x))) (-.f64 1 (fma.f64 (.f64 x 1/8) x (log.f64 2))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 1) (fma.f64 1/8 (.f64 x x) (log.f64 2)))
(+.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) (expm1.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (fma.f64 (*.f64 x 1/8) x (log.f64 2))))) 1)
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (.f64 x (+.f64 (-.f64 1/2 y) (.f64 x 1/8)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/8)))) (-.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 1/8 x)))) 1) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (expm1.f64 (log1p.f64 (.f64 1/8 (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x 1/8) x (log.f64 2)))) (-.f64 1 (.f64 (-.f64 1/2 y) x)))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 x (.f64 x 1/8)) (log.f64 2))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 x (.f64 x 1/8)) (log.f64 2))) (.f64 (-.f64 1/2 y) x)))
(+.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (.f64 1/8 x)) (log.f64 2))) (.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (fma.f64 1/8 (.f64 x x) (neg.f64 (log.f64 2)))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (-.f64 (.f64 (-.f64 1/2 y) x) (fma.f64 (.f64 x 1/8) x (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 (.f64 x 1/8) x (log.f64 2)) 2) (-.f64 (.f64 (-.f64 1/2 y) x) (fma.f64 (.f64 x 1/8) x (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (.f64 x x) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) 2)) (-.f64 (.f64 x (-.f64 (-.f64 1/2 y) (.f64 1/8 x))) (log.f64 2)))
(-.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (fma.f64 (.f64 x 1/8) x (log.f64 2))))) 1)
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(-.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (/.f64 (.f64 (pow.f64 x 4) 1/64) (-.f64 (.f64 x (.f64 x 1/8)) (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 x (.f64 x 1/8)) (log.f64 2))))
(+.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (.f64 1/8 x)) (log.f64 2))) (.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (fma.f64 1/8 (.f64 x x) (neg.f64 (log.f64 2)))))
(-.f64 (+.f64 (fma.f64 (.f64 x 1/8) x (log.f64 2)) (exp.f64 (log1p.f64 (.f64 (-.f64 1/2 y) x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 1) (fma.f64 1/8 (.f64 x x) (log.f64 2)))
(+.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) (expm1.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))))
(-.f64 (+.f64 (.f64 x (+.f64 (-.f64 1/2 y) (.f64 x 1/8))) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (+.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (exp.f64 (log1p.f64 (.f64 x (*.f64 x 1/8))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 1/8 x)))) 1) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (expm1.f64 (log1p.f64 (.f64 1/8 (.f64 x x)))))
(-.f64 (+.f64 (.f64 (.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 1) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (expm1.f64 (log1p.f64 (log.f64 2))))
(.f64 (fma.f64 (-.f64 1/2 y) x (fma.f64 (.f64 x 1/8) x (log.f64 2))) 1)
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(.f64 1 (fma.f64 (-.f64 1/2 y) x (fma.f64 (.f64 x 1/8) x (log.f64 2))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
(fma.f64 x (fma.f64 1/8 x (-.f64 1/2 y)) (log.f64 2))
(.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (fma.f64 (.f64 x 1/8) x (log.f64 2)))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (fma.f64 (*.f64 x 1/8) x (log.f64 2)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (.f64 x y))))
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(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3))) (/.f64 (sqrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 (.f64 x x) -1/8)) (.f64 (pow.f64 x 4) 1/64))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2))) (sqrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x (.f64 x -1/8))) (*.f64 (pow.f64 x 4) 1/64)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x 1/8) x (log.f64 2)) 2))) (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/8)) (log.f64 2))))
(/.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) (/.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 1/8 x)) (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) 2)) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (neg.f64 (log.f64 2))))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 x 1/8) x (log.f64 2)) 2))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (.f64 x 1/8)))))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) 2)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (.f64 1/8 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/512 (pow.f64 (log.f64 2) 3)))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 (.f64 x x) -1/8)) (*.f64 (pow.f64 x 4) 1/64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2)) 2)) (cbrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x (.f64 x -1/8))) (*.f64 (pow.f64 x 4) 1/64)))) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 4) 1/64)) (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/8)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 4) 1/64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4096) (pow.f64 (log.f64 2) 4)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 x (*.f64 1/8 x)) (log.f64 2)))))
(/.f64 (fma.f64 (pow.f64 x 8) 1/4096 (neg.f64 (pow.f64 (log.f64 2) 4))) (.f64 (fma.f64 (pow.f64 x 4) 1/64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/8 (.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 8) 1/4096 (neg.f64 (pow.f64 (log.f64 2) 4))) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (fma.f64 (pow.f64 x 4) 1/64 (pow.f64 (log.f64 2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/8)) (log.f64 2)))) (+.f64 (.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 4) 1/64)) (+.f64 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))))
(/.f64 (.f64 (/.f64 1 (-.f64 (.f64 x (.f64 1/8 x)) (log.f64 2))) (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144) (pow.f64 (pow.f64 (log.f64 2) 2) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4096) (+.f64 (pow.f64 (log.f64 2) 4) (.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144) (pow.f64 (log.f64 2) 6)) (.f64 (fma.f64 (pow.f64 x 8) 1/4096 (.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (pow.f64 x 4) 1/64 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/8 (.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (log.f64 2) 6)) (fma.f64 1/8 (.f64 x x) (neg.f64 (log.f64 2)))) (fma.f64 (pow.f64 x 8) 1/4096 (fma.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 4))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/512) (.f64 (pow.f64 (.f64 x x) 3) 1/512)) (.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (.f64 x 1/8))))))) (-.f64 (.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 1/262144) (pow.f64 (log.f64 2) 6)) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/512 (neg.f64 (pow.f64 (log.f64 2) 3))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (.f64 1/8 x))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144) (pow.f64 (log.f64 2) 6)) (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 (.f64 x x) -1/8)) (.f64 (pow.f64 x 4) 1/64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (log.f64 2) 6)) (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x (.f64 x -1/8))) (.f64 (pow.f64 x 4) 1/64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/512) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (.f64 x 1/8))))))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/512) (.f64 (pow.f64 (.f64 x x) 3) 1/512)) (-.f64 (.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/512) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 1/262144) (-.f64 (pow.f64 (log.f64 2) 6) (.f64 (pow.f64 (.f64 x x) 3) (.f64 1/512 (pow.f64 (log.f64 2) 3))))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (.f64 1/8 x))))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/134217728 (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144 (pow.f64 (log.f64 2) 6)) (.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 6) -1/512))) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 (.f64 x x) -1/8)) (.f64 (pow.f64 x 4) 1/64))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/134217728 (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x (.f64 x -1/8))) (.f64 (pow.f64 x 4) 1/64))) (+.f64 (pow.f64 (log.f64 2) 6) (.f64 (.f64 (pow.f64 x 6) 1/512) (-.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (log.f64 2) 3)))))
(pow.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2)) 1)
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2))) 2)
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2))) 3)
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2)) 3) 1/3)
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2))
(fabs.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(log.f64 (exp.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2)))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2)) 3))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x 1/8) x (log.f64 2))) 1))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x 1/8) x (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (*.f64 x x) 1/8 (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 1 (.f64 x (.f64 x 1/8)) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 1 (log.f64 2) (.f64 x (.f64 x 1/8)))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (.f64 x (.f64 x 1/8)))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (.f64 x (sqrt.f64 1/8)) (.f64 x (sqrt.f64 1/8)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (.f64 x (.f64 x 1/8)))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (log.f64 2))
(fma.f64 (*.f64 x 1/8) x (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))

localize5.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
0.0ms	x	@	0	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
0.0ms	x	@	inf	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
0.0ms	y	@	0	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
0.0ms	y	@	inf	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`associate-*r/`
1112×	`*-commutative`
1022×	`associate-*l/`
884×	`distribute-lft-in`
386×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	229	21
2	3124	21

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (+.f64 (*.f64 x 1/8) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 (+.f64 y (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x 1/8 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 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1/8)))))))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1588×	`associate-/l*`
1296×	`distribute-lft-in`
1224×	`distribute-rgt-in`
1014×	`*-commutative`
1012×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	213	4114
1	612	3744
2	2534	3744

Stop Event

1×	node limit

Counts

84 → 110

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

((#(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))))))

simplify55.0ms (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))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
✓	0.0b	(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	0.9b	(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (-.f64 1/2 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule 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simplify139.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

245 → 326

Calls

Call 1

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

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
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eval571.0ms (5.1%)

Compiler: Compiled 22328 to 16967 computations (24% saved)

prune215.0ms (1.9%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	837	14	851
Fresh	4	3	7
Picked	1	0	1
Done	3	5	8
Total	845	22	867

Error

0.4b

Counts

867 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	54.6b	(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
	59.2b	(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
▶	58.8b	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
	12.5b	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
✓	0.8b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.0b	(-.f64 (log.f64 2) (*.f64 x y))
▶	12.3b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (-.f64 1/2 y) (cbrt.f64 x))) (log.f64 2))
	23.5b	(+.f64 (.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 -1/4 (.f64 y y))) (log.f64 2))
	27.3b	(+.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
	49.2b	(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (*.f64 x (neg.f64 y)))
▶	28.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))
✓	28.7b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	55.2b	(+.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (/.f64 1 x) (-.f64 1/2 y)))) (log.f64 2))
	29.2b	(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
	20.8b	(+.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
▶	36.6b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	45.5b	(*.f64 (-.f64 1/2 y) x)
	61.9b	(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
✓	61.9b	(.f64 x (.f64 1/8 x))
✓	34.6b	(*.f64 x (neg.f64 y))
▶	61.8b	(*.f64 1/2 x)
	28.8b	(log.f64 2)

Compiler

Compiled 558 to 428 computations (23.3% saved)

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 1/2 y) (cbrt.f64 x))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (-.f64 1/2 y) (cbrt.f64 x)))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 48 to 29 computations (39.6% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`*-commutative`
884×	`unswap-sqr`
660×	`associate-*r/`
644×	`swap-sqr`
462×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	252	46
2	3053	46

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)) (.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x)))) (.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 x 1/6))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (.f64 (cbrt.f64 (pow.f64 x 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)) (pow.f64 x 1/6)) (.f64 (.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 1/6) (.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6))) (.f64 (pow.f64 x 1/6) (.f64 (pow.f64 (sqrt.f64 x) 1/6) (pow.f64 (sqrt.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 1/6))) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))))) (.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x x) 1/6) (pow.f64 (.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 y)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)) (.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2)) (.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (.f64 y (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 x) (.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 y) x) (.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (cbrt.f64 x)) (.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cbrt.f64 x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (.f64 (neg.f64 (.f64 y (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (+.f64 1/4 (.f64 (neg.f64 y) (-.f64 (neg.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 -1/4 (.f64 y y))) (+.f64 (neg.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/4 (.f64 y y)))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/4 (.f64 y y)))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/4 (.f64 y y)) x) (+.f64 (neg.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 1/8 (pow.f64 y 3))) x) (neg.f64 (+.f64 1/4 (.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cbrt.f64 x) (-.f64 1/4 (.f64 y y))) (pow.f64 (cbrt.f64 x) 2)) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cbrt.f64 x) (-.f64 1/8 (pow.f64 y 3))) (pow.f64 (cbrt.f64 x) 2)) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/4 (.f64 y y))) (cbrt.f64 x)) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 x)) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y)) 3) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))))))
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x) (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x (pow.f64 (-.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y))))))))

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

958×	`associate-l`
932×	`associate-r`
638×	`associate-/l*`
532×	`distribute-lft-neg-in`
526×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	4294
1	869	3680
2	4691	3672

Stop Event

1×	node limit

Counts

178 → 185

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8)))

✓

0.1b

(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))

✓

18.4b

(/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8)))))

Compiler

Compiled 90 to 62 computations (31.1% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`distribute-lft-in`
1320×	`associate-/l/`
348×	`add-sqr-sqrt`
342×	`associate-+l+`
336×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	123
1	334	57
2	5012	57

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs

(/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8)))))

(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))

(*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8)))

Outputs

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simplify134.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

922×	`associate-r`
920×	`*-commutative`
718×	`associate-l`
686×	`+-commutative`
608×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	691	14594
1	2247	13504

Stop Event

1×	node limit

Counts

214 → 326

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 1/8 (.f64 x x)) (log.f64 2))
✓	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))

Compiler

Compiled 39 to 25 computations (35.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1016×	`distribute-rgt-in`
974×	`distribute-lft-in`
888×	`associate-*l/`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	282	27
2	3609	27

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))

Outputs

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

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1780×	`associate-/r*`
778×	`associate-/r/`
714×	`associate-/l/`
598×	`+-commutative`
466×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	8083
1	835	7281
2	3753	7227

Stop Event

1×	node limit

Counts

107 → 174

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

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

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	2.5b	(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`add-sqr-sqrt`
1902×	`*-un-lft-identity`
1774×	`add-cube-cbrt`
1754×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	197	13
2	2307	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-*r/`
826×	`associate-*l/`
722×	`fma-def`
640×	`+-commutative`
606×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	947
1	230	939
2	749	939
3	2699	939
4	5759	939

Stop Event

1×	node limit

Counts

59 → 48

Calls

Call 1

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

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

eval715.0ms (6.4%)

Compiler: Compiled 28806 to 20636 computations (28.4% saved)

prune493.0ms (4.4%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	920	12	932
Fresh	0	12	12
Picked	1	0	1
Done	1	8	9
Total	922	32	954

Error

0.4b

Counts

954 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	54.6b	(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
	55.2b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	59.2b	(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
	58.8b	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x)))))))
	58.5b	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
	62.0b	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
	55.1b	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
	61.9b	(/.f64 x (/.f64 8 x))
	34.7b	(/.f64 x (/.f64 -1 y))
	49.7b	(/.f64 x (-.f64 (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/4) (.f64 y y)))))
	12.5b	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
✓	0.8b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.0b	(-.f64 (log.f64 2) (*.f64 x y))
	37.0b	(+.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (.f64 (-.f64 1/2 y) x)))) (log.f64 2))
	38.0b	(+.f64 (.f64 (pow.f64 (exp.f64 (log.f64 (cbrt.f64 x))) 2) (.f64 (-.f64 1/2 y) (cbrt.f64 x))) (log.f64 2))
✓	12.3b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (-.f64 1/2 y) (cbrt.f64 x))) (log.f64 2))
	23.5b	(+.f64 (.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 -1/4 (.f64 y y))) (log.f64 2))
	27.3b	(+.f64 (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
	49.2b	(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (*.f64 x (neg.f64 y)))
✓	28.6b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))
✓	28.7b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	55.2b	(+.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (/.f64 1 x) (-.f64 1/2 y)))) (log.f64 2))
	29.2b	(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
	20.8b	(+.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
	44.1b	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
	45.5b	(*.f64 (-.f64 1/2 y) x)
	61.9b	(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
	55.1b	(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
✓	61.9b	(.f64 x (.f64 1/8 x))
✓	34.6b	(*.f64 x (neg.f64 y))
✓	61.8b	(*.f64 1/2 x)
	28.8b	(log.f64 2)

Compiler

Compiled 471 to 349 computations (25.9% saved)

regimes161.0ms (1.4%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	x
28.0ms	y
19.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`y`
0.8b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 670 to 461 computations (31.2% saved)

regimes63.0ms (0.6%)

Counts

27 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(.f64 x (.f64 1/8 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 8 x))
(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
(/.f64 x (-.f64 (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/4) (.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x)))))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))
(+.f64 (.f64 (/.f64 x (-.f64 -1/2 y)) (+.f64 -1/4 (.f64 y y))) (log.f64 2))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))

Outputs
(*.f64 x (neg.f64 y))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))

Calls

2 calls:

30.0ms	x
13.0ms	y

Results

Error	Segments	Branch
0.8b	2	`x`
6.0b	1	`y`

Compiler

Compiled 351 to 227 computations (35.3% saved)

bsearch70.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
69.0ms	-1.4375153505341296e+34	-2.0341441040192617e+29

Results

51.0ms	40×	body	1024	valid
12.0ms	89×	body	256	valid
4.0ms	15×	body	512	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 232 to 174 computations (25% saved)

regimes78.0ms (0.7%)

Counts

24 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(.f64 x (.f64 1/8 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 8 x))
(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
(/.f64 x (-.f64 (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/4) (.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x)))))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (*.f64 x x)) (log.f64 2)))

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

Calls

2 calls:

54.0ms	x
17.0ms	y

Results

Error	Segments	Branch
0.9b	2	`x`
6.0b	1	`y`

Compiler

Compiled 309 to 197 computations (36.2% saved)

bsearch81.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
81.0ms	-13.676840074899363	-0.0007189890818651498

Results

79.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes164.0ms (1.5%)

Counts

22 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(.f64 x (.f64 1/8 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 8 x))
(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
(/.f64 x (-.f64 (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/4) (.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x)))))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))

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

Calls

2 calls:

138.0ms	y
20.0ms	x

Results

Error	Segments	Branch
1.2b	2	`x`
6.0b	1	`y`

Compiler

Compiled 289 to 183 computations (36.7% saved)

bsearch78.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
78.0ms	-1.4375153505341296e+34	-2.0341441040192617e+29

Results

55.0ms	91×	body	256	valid
14.0ms	31×	body	1024	valid
6.0ms	22×	body	512	valid
2.0ms	11×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

regimes124.0ms (1.1%)

Counts

21 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(.f64 x (.f64 1/8 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 8 x))
(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
(/.f64 x (-.f64 (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/4) (.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x)))))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))

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

Calls

2 calls:

71.0ms	y
46.0ms	x

Results

Error	Segments	Branch
10.1b	3	`x`
19.3b	3	`y`

Compiler

Compiled 283 to 179 computations (36.7% saved)

bsearch66.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	5.2786703087527e-27	7.378861729773848e-26
17.0ms	-13.676840074899363	-0.0007189890818651498

Results

63.0ms

224×

body

256

valid

Compiler

Compiled 246 to 200 computations (18.7% saved)

regimes89.0ms (0.8%)

Counts

20 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(.f64 x (.f64 1/8 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 8 x))
(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
(/.f64 x (-.f64 (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/4) (.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x)))))))
(log.f64 2)

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

Calls

2 calls:

51.0ms	x
32.0ms	y

Results

Error	Segments	Branch
10.2b	3	`x`
19.5b	3	`y`

Compiler

Compiled 277 to 174 computations (37.2% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	5.2786703087527e-27	7.378861729773848e-26
34.0ms	-123188399.48773889	-13.676840074899363

Results

28.0ms	227×	body	256	valid
5.0ms	10×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 202 to 168 computations (16.8% saved)

regimes75.0ms (0.7%)

Accuracy

Total -28.6b remaining (-82.5%)

Threshold costs -28.6b (-82.5%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(.f64 x (.f64 1/8 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 8 x))
(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 x (+.f64 1/2 (.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
(/.f64 x (-.f64 (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/4) (.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 1/64 (.f64 x x))) (-.f64 y (.f64 -1/8 x)))))))

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

Calls

2 calls:

16.0ms	x
9.0ms	y

Results

Error	Segments	Branch
34.6b	1	`x`
34.6b	1	`y`

Compiler

Compiled 275 to 172 computations (37.5% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
18×	`*-commutative`
10×	`sub-neg`
6×	`neg-mul-1`
6×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	286
1	68	286
2	80	286
3	85	286
4	87	286

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -205000000000000016742722043904) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (.f64 x x)) (log.f64 2))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -205000000000000016742722043904) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1498797955988901/576460752303423488) (.f64 x (neg.f64 y)) (if (<=.f64 x 6620533730813779/174224571863520493293247799005065324265472) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -14) (.f64 x (neg.f64 y)) (if (<=.f64 x 6097860015223217/87112285931760246646623899502532662132736) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -205000000000000016742722043904) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (.f64 x x)) (log.f64 2))))
(if (<=.f64 x -205000000000000016742722043904) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (+.f64 (.f64 1/8 (.f64 x x)) (log.f64 2))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -205000000000000016742722043904) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1498797955988901/576460752303423488) (.f64 x (neg.f64 y)) (if (<=.f64 x 6620533730813779/174224571863520493293247799005065324265472) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -1498797955988901/576460752303423488) (.f64 x (neg.f64 y)) (if (<=.f64 x 6620533730813779/174224571863520493293247799005065324265472) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -14) (.f64 x (neg.f64 y)) (if (<=.f64 x 6097860015223217/87112285931760246646623899502532662132736) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -14) (.f64 x (neg.f64 y)) (if (<=.f64 x 6097860015223217/87112285931760246646623899502532662132736) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 124 to 88 computations (29% saved)

soundness350.0ms (3.1%)

Algorithm

3×	egg-herbie

Rules

1042×	`associate-l`
1014×	`+-commutative`
912×	`associate-/r*`
798×	`associate-/r*`
776×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	51	21
4	69	21
5	113	21
6	188	21
7	238	21
8	329	21
9	490	21
10	544	21
11	571	21
12	650	21
13	931	21
14	1815	21
15	5167	21
16	6110	21
0	157	2193
1	396	2073
2	1955	2073
3	7844	2073
0	410	10892
1	1041	10118
2	4171	10056

Stop Event

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

Compiler

Compiled 88 to 56 computations (36.4% saved)

end105.0ms (0.9%)

Compiler: Compiled 110 to 63 computations (42.7% saved)