Details

analyze137.0ms (1.4%)

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)

sample3.7s (38.6%)

Results

2.3s	2488×	body	8192	exit
1.1s	7776×	body	256	valid
112.0ms	237×	body	1024	valid
108.0ms	242×	body	512	valid
19.0ms	148×	body	256	infinite
2.0ms	1×	body	2048	valid

Bogosity

preprocess97.0ms (1%)

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)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.5b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series46.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
18.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite72.0ms (0.8%)

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)))))))

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

91 → 80

Calls

Call 1

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

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

eval16.0ms (0.2%)

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

prune12.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

0.2b

Counts

81 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.2b	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	6.9b	(-.f64 (log.f64 2) (*.f64 x y))
▶	13.6b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	36.6b	(*.f64 x (neg.f64 y))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize4.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series7.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms	x	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	y	@	inf	(*.f64 (-.f64 1/2 y) x)
0.0ms	x	@	0	(*.f64 (-.f64 1/2 y) x)
0.0ms	x	@	inf	(*.f64 (-.f64 1/2 y) x)

rewrite82.0ms (0.9%)

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

Outputs
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Outputs

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

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	7768
1	969	6680
2	4203	6680

Stop Event

1×	node limit

Counts

148 → 214

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 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 (.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)))
(-.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))

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

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)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

((#(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 (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	0.5b	(log1p.f64 (exp.f64 x))
✓	0.6b	(sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
✓	0.7b	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)

Compiler

Compiled 38 to 10 computations (73.7% saved)

series11.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`*-commutative`
810×	`unswap-sqr`
596×	`swap-sqr`
520×	`distribute-lft-in`
514×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	251	46
2	2870	46

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

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

Outputs

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

simplify179.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-+l-`
842×	`fma-def`
808×	`associate-+r-`
792×	`associate-r`
686×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	579	15388
1	1601	13734
2	7280	13734

Stop Event

1×	node limit

Counts

226 → 343

Calls

Call 1

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

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

eval274.0ms (2.9%)

Compiler: Compiled 18135 to 9314 computations (48.6% saved)

prune137.0ms (1.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	677	10	687
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	679	13	692

Error

0.2b

Counts

692 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	27.3b	(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
	22.2b	(/.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)))))
▶	22.0b	(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
✓	6.9b	(-.f64 (log.f64 2) (*.f64 x y))
▶	32.1b	(+.f64 (.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))))) (log.f64 2))
✓	13.6b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	27.0b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	38.3b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶	49.5b	(*.f64 (-.f64 1/2 y) x)
	22.2b	(.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))))
✓	36.6b	(*.f64 x (neg.f64 y))
	26.8b	(log1p.f64 (exp.f64 x))
	27.1b	(log.f64 2)

Compiler

Compiled 442 to 368 computations (16.7% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	0.5b	(exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
✓	0.6b	(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)

Compiler

Compiled 52 to 39 computations (25% saved)

series29.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
8.0ms	x	@	-inf	(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
3.0ms	y	@	inf	(+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
2.0ms	y	@	inf	(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
1.0ms	y	@	-inf	(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`associate-*r/`
1500×	`associate-*l/`
326×	`add-sqr-sqrt`
312×	`*-un-lft-identity`
310×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	89
1	319	71
2	4071	71

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 1) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (+.f64 (log1p.f64 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (log1p.f64 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (log1p.f64 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log1p.f64 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 1) -1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) 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(*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 (log1p.f64 1) (*.f64 (-.f64 1/2 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (sqrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 2) (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 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simplify182.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-def`
758×	`+-commutative`
706×	`associate-r`
688×	`associate-+r-`
612×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	672	18203
1	2003	15175
2	7498	15175

Stop Event

1×	node limit

Counts

245 → 413

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

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))

rewrite58.0ms (0.6%)

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))))))

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	2.2b	(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`associate-*r/`
942×	`associate-*l/`
848×	`distribute-rgt-in`
814×	`distribute-lft-in`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	265	32
2	3239	32

Stop Event

1×	node limit

Counts

2 → 170

Calls

Call 1

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

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

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1842×	`associate-/r/`
760×	`associate-/l*`
654×	`+-commutative`
590×	`associate-+r+`
564×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	457	9458
1	1279	8510
2	5661	8510

Stop Event

1×	node limit

Counts

218 → 259

Calls

Call 1

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

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

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))
✓	2.5b	(sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))
✓	6.6b	(.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)))))
✓	9.6b	(sqrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))

Compiler

Compiled 113 to 86 computations (23.9% saved)

series23.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
14.0ms	y	@	-inf	(.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)))))
2.0ms	x	@	-inf	(.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)))))
2.0ms	x	@	0	(.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)))))
1.0ms	y	@	inf	(.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)))))
1.0ms	y	@	0	(.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)))))

rewrite107.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`associate-/l*`
890×	`associate-/r/`
436×	`add-sqr-sqrt`
422×	`*-un-lft-identity`
418×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	124
1	453	124
2	5622	78

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))
(.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)))))
(sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))

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

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1016×	`times-frac`
1012×	`distribute-lft-in`
1006×	`distribute-rgt-in`
690×	`associate-/l*`
510×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	6210
1	828	5990
2	4748	5980

Stop Event

1×	node limit

Counts

170 → 241

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 1/2 y))
(+.f64 (.f64 3/4 (pow.f64 y 2)) (+.f64 1/2 (.f64 1/2 y)))
(+.f64 (.f64 3/4 (pow.f64 y 2)) (+.f64 1/2 (+.f64 (.f64 1/2 y) (*.f64 -3/4 (pow.f64 y 3)))))
y
(+.f64 1/4 y)
(+.f64 1/4 (+.f64 y (*.f64 3/32 (/.f64 1 y))))
(-.f64 (+.f64 1/4 (+.f64 y (.f64 3/32 (/.f64 1 y)))) (.f64 3/128 (/.f64 1 (pow.f64 y 2))))
(*.f64 -1 y)
(-.f64 (*.f64 -1 y) 1/4)
(-.f64 (.f64 -1 y) (+.f64 1/4 (.f64 3/32 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 3/128 (/.f64 1 (pow.f64 y 2))) (.f64 -1 y)) (+.f64 1/4 (*.f64 3/32 (/.f64 1 y))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) 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 y x)
(+.f64 (.f64 -1/2 x) (.f64 y x))
(+.f64 (.f64 -1/2 x) (.f64 y x))
(+.f64 (.f64 -1/2 x) (.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)))
(sqrt.f64 1/8)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 3) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 y 9) (pow.f64 (sqrt.f64 1/8) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (sqrt.f64 1/8))) (sqrt.f64 1/8))))
1/4
(+.f64 1/4 (*.f64 -1/4 y))
(+.f64 1/4 (+.f64 (.f64 -1/4 y) (.f64 -1/8 (pow.f64 y 2))))
(+.f64 1/4 (+.f64 (.f64 -9/8 (pow.f64 y 3)) (+.f64 (.f64 -1/4 y) (*.f64 -1/8 (pow.f64 y 2)))))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 -1/4 y))
(-.f64 (+.f64 (pow.f64 y 2) (*.f64 -1/4 y)) 1/32)
(-.f64 (+.f64 (pow.f64 y 2) (.f64 -1/4 y)) (+.f64 1/32 (.f64 9/128 (/.f64 1 y))))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (*.f64 -1/4 y))
(-.f64 (+.f64 (pow.f64 y 2) (*.f64 -1/4 y)) 1/32)
(-.f64 (+.f64 (pow.f64 y 2) (.f64 -1/4 y)) (+.f64 1/32 (.f64 9/128 (/.f64 1 y))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))) 1)
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 1/4) (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))) (cbrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) 1/2))
(pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) 1)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))) 3)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 x (/.f64 (/.f64 1 (-.f64 1/2 y)) 1))
(/.f64 (sqrt.f64 (-.f64 1/2 y)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(/.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (sqrt.f64 (-.f64 1/2 y))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1/2 y)) x))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (sqrt.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))))
(/.f64 (pow.f64 (-.f64 1/2 y) 1/4) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (*.f64 (pow.f64 (-.f64 1/2 y) 1/4) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (-.f64 1/2 y)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))))
(/.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 1/4) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (*.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 1/4) (sqrt.f64 (-.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (cbrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(/.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (cbrt.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (-.f64 1/2 y)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (.f64 (cbrt.f64 x) (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (-.f64 1/2 y)))))
(/.f64 (cbrt.f64 (-.f64 1/2 y)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))))
(/.f64 (.f64 x (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))) (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(/.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))) (cbrt.f64 (.f64 x (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (cbrt.f64 (.f64 x (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/2 y)) (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 1/4)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 1/4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/2 y)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (cbrt.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (pow.f64 (-.f64 1/2 y) 1/4)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (pow.f64 (-.f64 1/2 y) 1/4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (-.f64 1/2 y))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) x) (cbrt.f64 (sqrt.f64 (-.f64 1/2 y)))))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (sqrt.f64 (-.f64 1/2 y))))
(/.f64 (.f64 x (sqrt.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))))
(/.f64 (.f64 x (cbrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) (neg.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(/.f64 (.f64 (neg.f64 x) (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) (neg.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(/.f64 (/.f64 x (/.f64 1 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))) (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)))
(/.f64 (/.f64 (.f64 x (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 1/4)) (pow.f64 (fma.f64 y (+.f64 y 1/2) 1/4) 1/4))
(/.f64 (/.f64 (.f64 x (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) (cbrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))) (/.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4)) (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))))
(/.f64 (neg.f64 (.f64 x (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))) (neg.f64 (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))))
(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 (exp.f64 (*.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))
(cbrt.f64 (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))) 3) (pow.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) 3) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 y (+.f64 y 1/2) 1/4))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))) 1)
(*.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 1/4) (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/512 (pow.f64 y 9))) (sqrt.f64 (+.f64 (pow.f64 y 6) (+.f64 (*.f64 1/8 (pow.f64 y 3)) 1/64))))
(/.f64 (sqrt.f64 (-.f64 1/64 (pow.f64 y 6))) (sqrt.f64 (+.f64 1/8 (pow.f64 y 3))))
(pow.f64 (-.f64 1/8 (pow.f64 y 3)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) 1)
(pow.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) 3)
(pow.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))))
(cbrt.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/8 (pow.f64 y 3))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) 3)
(pow.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) 3) 1/3)
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3/2) (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 3/2) (pow.f64 (-.f64 1/2 y) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))

Outputs
1/2
(+.f64 1/2 (*.f64 1/2 y))
(fma.f64 1/2 y 1/2)
(+.f64 (.f64 3/4 (pow.f64 y 2)) (+.f64 1/2 (.f64 1/2 y)))
(fma.f64 3/4 (.f64 y y) (+.f64 1/2 (.f64 1/2 y)))
(fma.f64 3/4 (*.f64 y y) (fma.f64 1/2 y 1/2))
(+.f64 (.f64 3/4 (pow.f64 y 2)) (+.f64 1/2 (+.f64 (.f64 1/2 y) (*.f64 -3/4 (pow.f64 y 3)))))
(fma.f64 3/4 (.f64 y y) (+.f64 1/2 (fma.f64 1/2 y (.f64 -3/4 (pow.f64 y 3)))))
(+.f64 (fma.f64 3/4 (.f64 y y) (fma.f64 1/2 y 1/2)) (.f64 -3/4 (pow.f64 y 3)))
(+.f64 (fma.f64 1/2 y 1/2) (.f64 (.f64 y y) (+.f64 (*.f64 y -3/4) 3/4)))
y
(+.f64 1/4 y)
(+.f64 y 1/4)
(+.f64 1/4 (+.f64 y (*.f64 3/32 (/.f64 1 y))))
(+.f64 1/4 (+.f64 y (/.f64 3/32 y)))
(+.f64 (+.f64 y 1/4) (/.f64 3/32 y))
(-.f64 (+.f64 1/4 (+.f64 y (.f64 3/32 (/.f64 1 y)))) (.f64 3/128 (/.f64 1 (pow.f64 y 2))))
(+.f64 1/4 (-.f64 (+.f64 y (/.f64 3/32 y)) (/.f64 3/128 (*.f64 y y))))
(+.f64 1/4 (+.f64 y (-.f64 (/.f64 3/32 y) (/.f64 3/128 (*.f64 y y)))))
(+.f64 y (+.f64 (/.f64 3/32 y) (-.f64 1/4 (/.f64 3/128 (*.f64 y y)))))
(*.f64 -1 y)
(neg.f64 y)
(-.f64 (*.f64 -1 y) 1/4)
(fma.f64 -1 y -1/4)
(fma.f64 y -1 -1/4)
(-.f64 -1/4 y)
(-.f64 (.f64 -1 y) (+.f64 1/4 (.f64 3/32 (/.f64 1 y))))
(-.f64 (fma.f64 -1 y -1/4) (/.f64 3/32 y))
(-.f64 (fma.f64 y -1 -1/4) (/.f64 3/32 y))
(-.f64 (-.f64 -1/4 y) (/.f64 3/32 y))
(-.f64 (+.f64 (.f64 3/128 (/.f64 1 (pow.f64 y 2))) (.f64 -1 y)) (+.f64 1/4 (*.f64 3/32 (/.f64 1 y))))
(+.f64 (/.f64 3/128 (*.f64 y y)) (-.f64 (fma.f64 -1 y -1/4) (/.f64 3/32 y)))
(-.f64 (-.f64 (/.f64 3/128 (*.f64 y y)) y) (+.f64 1/4 (/.f64 3/32 y)))
(+.f64 (/.f64 3/128 (*.f64 y y)) (-.f64 (-.f64 -1/4 y) (/.f64 3/32 y)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 (+.f64 1/2 y) y)))) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/2 y) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))) x)
(.f64 (sqrt.f64 (.f64 (/.f64 (-.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))) x)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 y x)
(+.f64 (.f64 -1/2 x) (.f64 y x))
(*.f64 x (+.f64 -1/2 y))
(*.f64 x (+.f64 y -1/2))
(+.f64 (.f64 -1/2 x) (.f64 y x))
(*.f64 x (+.f64 -1/2 y))
(*.f64 x (+.f64 y -1/2))
(+.f64 (.f64 -1/2 x) (.f64 y x))
(*.f64 x (+.f64 -1/2 y))
(*.f64 x (+.f64 y -1/2))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 1/2 y) x)
(sqrt.f64 1/8)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1/2 (/.f64 (pow.f64 y 3) (sqrt.f64 1/8)) (sqrt.f64 1/8))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 1/8) 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 y 3) (sqrt.f64 1/8))) (sqrt.f64 1/8)))
(fma.f64 -1/8 (/.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 1/8) 3)) (fma.f64 -1/2 (/.f64 (pow.f64 y 3) (sqrt.f64 1/8)) (sqrt.f64 1/8)))
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1/4
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(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) 1)
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) 2)
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) 3)
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(pow.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))) 1/2)
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) 3) 1/3)
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))))))
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3)))) 3))
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3/2) (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 3/2) (pow.f64 (-.f64 1/2 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/8 (pow.f64 y 3)) 3/2) (pow.f64 (-.f64 1/2 y) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))) 1))
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))))
(sqrt.f64 (*.f64 (-.f64 1/2 y) (-.f64 1/8 (pow.f64 y 3))))

eval661.0ms (7%)

Compiler: Compiled 31487 to 24791 computations (21.3% saved)

prune317.0ms (3.3%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1169	11	1180
Fresh	2	3	5
Picked	1	0	1
Done	2	5	7
Total	1174	19	1193

Error

0.1b

Counts

1193 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	27.3b	(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
▶	57.2b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	58.7b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	57.2b	(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
	49.5b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
▶	14.1b	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2))) 1)
	27.5b	(-.f64 (+.f64 (log.f64 2) (+.f64 1 (*.f64 1/2 x))) 1)
▶	27.6b	(-.f64 (+.f64 (log.f64 2) 1) 1)
✓	6.9b	(-.f64 (log.f64 2) (*.f64 x y))
	22.0b	(-.f64 (expm1.f64 (log.f64 (+.f64 (+.f64 (log1p.f64 1) 2) (*.f64 x (-.f64 1/2 y))))) 1)
	34.1b	(+.f64 (.f64 (/.f64 x (+.f64 y 1/4)) (.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))) (log.f64 2))
✓	13.6b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	27.0b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	45.2b	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
✓	49.5b	(*.f64 (-.f64 1/2 y) x)
✓	36.6b	(*.f64 x (neg.f64 y))
▶	61.8b	(*.f64 1/2 x)
	26.8b	(log1p.f64 (exp.f64 x))
	27.1b	(log.f64 2)

Compiler

Compiled 345 to 282 computations (18.3% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	0.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2)))
✓	0.6b	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2))) 1)

Compiler

Compiled 43 to 34 computations (20.9% saved)

series1.0ms (0%)

Counts

2 → 39

Calls

12 calls:

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

rewrite126.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`distribute-lft-in`
518×	`associate-/r*`
472×	`associate-+l+`
364×	`associate-/l*`
358×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	315	44
2	4288	44

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

((#(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 1 (+.f64 (+.f64 (log.f64 2) -1) (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 (-.f64 1/2 y) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1))))) (#(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 (log.f64 2) (+.f64 0 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (fma.f64 (-.f64 1/2 y) x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 (-.f64 1/2 y) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (*.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x 1) (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x 1) (*.f64 1 (+.f64 (log.f64 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) -1) (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) -1) (fma.f64 (-.f64 1/2 y) x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) 1) (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (+.f64 (*.f64 (neg.f64 y) x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (fma.f64 (-.f64 1/2 y) x 1)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) 1)) (log.f64 2))))) (#(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 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(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 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1) (/.f64 1 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))))) (-.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1)) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1) (-.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2))) (-.f64 0 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1) (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 3))) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (-.f64 0 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2)) (*.f64 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) 3) (pow.f64 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3))) (+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2)) (-.f64 (*.f64 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (-.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) -1))) (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 3))))))) (#(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 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (/.f64 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 3)) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 3)) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) (-.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1)) (/.f64 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (+.f64 1 (log.f64 2))) 2) -1))))))) (#(struct:change #<rule 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simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1294×	`associate--r+`
1056×	`+-commutative`
572×	`associate-+r-`
550×	`associate-+l-`
540×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	474	12883
1	1424	11673
2	6104	11555

Stop Event

1×	node limit

Counts

217 → 274

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1/2 y) x)
✓	11.9b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

138 → 121

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (+.f64 (log.f64 2) 1) 1)

Compiler

Compiled 16 to 16 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`add-sqr-sqrt`
1486×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1390×	`add-cbrt-cube`
1380×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	172	5
2	2195	5

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(-.f64 (+.f64 (log.f64 2) 1) 1)

Outputs

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

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-/l*`
1170×	`distribute-lft-in`
1016×	`distribute-rgt-in`
900×	`associate-/r*`
854×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	520
1	220	490
2	1124	490

Stop Event

1×	node limit

Counts

42 → 45

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
✓	2.0b	(exp.f64 (log.f64 (*.f64 1/2 x)))

Compiler

Compiled 27 to 22 computations (18.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`*-commutative`
644×	`unswap-sqr`
486×	`swap-sqr`
440×	`distribute-lft-in`
428×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	216	20
2	2479	20

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.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 (+.f64 (*.f64 1/2 x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 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 (*.f64 x x) 1/4) (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 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 -1/4 (*.f64 x x))) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 1/16 (pow.f64 x 4)) (pow.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))) 2))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))) 3))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (*.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))) (-.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))) (*.f64 (*.f64 x x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1538×	`associate-*r/`
1204×	`associate-*l/`
644×	`associate-/r/`
596×	`associate-/l/`
476×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	6465
1	968	6037
2	3960	5909

Stop Event

1×	node limit

Counts

157 → 199

Calls

Call 1

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

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

eval402.0ms (4.2%)

Compiler: Compiled 18420 to 15132 computations (17.9% saved)

prune161.0ms (1.7%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	707	6	713
Fresh	2	7	9
Picked	0	1	1
Done	2	7	9
Total	711	21	732

Error

0.1b

Counts

732 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	27.3b	(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
	57.4b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
	62.0b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
	57.2b	(/.f64 (-.f64 1/4 (.f64 y y)) (.f64 (/.f64 1 x) (+.f64 y 1/2)))
	58.7b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	57.2b	(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
	49.5b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	27.5b	(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
✓	27.6b	(-.f64 (+.f64 (log.f64 2) 1) 1)
✓	6.9b	(-.f64 (log.f64 2) (*.f64 x y))
	22.0b	(-.f64 (expm1.f64 (log.f64 (+.f64 (+.f64 (log1p.f64 1) 2) (*.f64 x (-.f64 1/2 y))))) 1)
	34.1b	(+.f64 (.f64 (/.f64 x (+.f64 y 1/4)) (.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))) (log.f64 2))
✓	13.6b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	27.0b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	45.2b	(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
	58.7b	(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
✓	49.5b	(*.f64 (-.f64 1/2 y) x)
✓	36.6b	(*.f64 x (neg.f64 y))
✓	61.8b	(*.f64 1/2 x)
	26.8b	(log1p.f64 (exp.f64 x))
	27.1b	(log1p.f64 1)

Compiler

Compiled 219 to 174 computations (20.5% saved)

regimes65.0ms (0.7%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	y
15.0ms	x
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 424 to 312 computations (26.4% saved)

regimes74.0ms (0.8%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	y
30.0ms	x

Results

Error	Segments	Branch
0.5b	2	`x`
5.8b	3	`y`

Compiler

Compiled 172 to 120 computations (30.2% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-104485.57827105623	-0.02976232443489209

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes42.0ms (0.4%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	y
16.0ms	x

Results

Error	Segments	Branch
0.8b	2	`x`
5.8b	3	`y`

Compiler

Compiled 129 to 84 computations (34.9% saved)

bsearch35.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	-104485.57827105623	-0.02976232443489209

Results

16.0ms	125×	body	256	valid
4.0ms	9×	body	1024	valid
2.0ms	9×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 160 to 120 computations (25% saved)

regimes63.0ms (0.7%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	y
21.0ms	x

Results

Error	Segments	Branch
9.5b	2	`x`
19.3b	5	`y`

Compiler

Compiled 117 to 74 computations (36.8% saved)

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	-104485.57827105623	-0.02976232443489209

Results

25.0ms

144×

body

256

valid

Compiler

Compiled 160 to 129 computations (19.4% saved)

regimes60.0ms (0.6%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	y
20.0ms	x

Results

Error	Segments	Branch
9.8b	2	`x`
19.5b	5	`y`

Compiler

Compiled 111 to 69 computations (37.8% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-104485.57827105623	-0.02976232443489209

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 124 to 102 computations (17.7% saved)

regimes15.0ms (0.2%)

Accuracy

Total -26.6b remaining (-72.6%)

Threshold costs -26.6b (-72.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
6.0ms	y

Results

Error	Segments	Branch
36.6b	1	`x`
36.6b	1	`y`

Compiler

Compiled 107 to 65 computations (39.3% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -65) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1116892707587883/36028797018963968) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -1080863910568919/36028797018963968) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -65) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1116892707587883/36028797018963968) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -1116892707587883/36028797018963968) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -1080863910568919/36028797018963968) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 82 to 59 computations (28% saved)

soundness487.0ms (5.1%)

Algorithm

3×	egg-herbie

Rules

1042×	`associate-l`
1042×	`associate-l`
1014×	`+-commutative`
912×	`associate-/r*`
912×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 56 to 31 computations (44.6% saved)

end42.0ms (0.4%)

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

Details

analyze137.0ms (1.4%)

sample3.7s (38.6%)

preprocess97.0ms (1%)

simplify79.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series46.0ms (0.5%)

rewrite72.0ms (0.8%)

simplify89.0ms (0.9%)

eval16.0ms (0.2%)

prune12.0ms (0.1%)

localize4.0ms (0%)

localize13.0ms (0.1%)

series7.0ms (0.1%)

rewrite82.0ms (0.9%)

simplify106.0ms (1.1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite59.0ms (0.6%)

simplify65.0ms (0.7%)

localize12.0ms (0.1%)

series11.0ms (0.1%)

rewrite99.0ms (1%)

simplify179.0ms (1.9%)

eval274.0ms (2.9%)

prune137.0ms (1.4%)

localize27.0ms (0.3%)

series29.0ms (0.3%)

rewrite98.0ms (1%)

simplify182.0ms (1.9%)

localize5.0ms (0.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite58.0ms (0.6%)

simplify54.0ms (0.6%)

localize20.0ms (0.2%)

series1.0ms (0%)

rewrite86.0ms (0.9%)

simplify120.0ms (1.3%)

localize48.0ms (0.5%)

series23.0ms (0.2%)

rewrite107.0ms (1.1%)

simplify89.0ms (0.9%)

eval661.0ms (7%)

prune317.0ms (3.3%)

localize23.0ms (0.2%)

series1.0ms (0%)

rewrite126.0ms (1.3%)

simplify146.0ms (1.5%)

localize3.0ms (0%)

localize12.0ms (0.1%)

series4.0ms (0%)

rewrite77.0ms (0.8%)

simplify62.0ms (0.7%)

localize10.0ms (0.1%)

series0.0ms (0%)

rewrite53.0ms (0.6%)

simplify40.0ms (0.4%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite75.0ms (0.8%)

simplify98.0ms (1%)

eval402.0ms (4.2%)

prune161.0ms (1.7%)

regimes65.0ms (0.7%)

regimes74.0ms (0.8%)

bsearch18.0ms (0.2%)

regimes42.0ms (0.4%)

bsearch35.0ms (0.4%)

regimes63.0ms (0.7%)

bsearch27.0ms (0.3%)

regimes60.0ms (0.6%)

bsearch19.0ms (0.2%)

regimes15.0ms (0.2%)

simplify14.0ms (0.2%)

soundness487.0ms (5.1%)

end42.0ms (0.4%)

Profiling