Details

analyze137.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.6s (50%)

Results

2.2s	2467×	body	8192	exit
1.1s	7759×	body	256	valid
109.0ms	225×	body	1024	valid
79.0ms	271×	body	512	valid
50.0ms	143×	body	256	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess81.0ms (1.1%)

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)

simplify84.0ms (1.2%)

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

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.2b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series82.0ms (1.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
32.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
6.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite87.0ms (1.2%)

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)))))))

simplify86.0ms (1.2%)

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))

eval15.0ms (0.2%)

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

prune16.0ms (0.2%)

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

Counts

81 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.9b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	7.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	12.9b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	34.0b	(*.f64 x (neg.f64 y))

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize4.0ms (0.1%)

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

localize12.0ms (0.2%)

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)

series6.0ms (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)

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(*.f64 (-.f64 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))))))

simplify92.0ms (1.3%)

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)))))
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(/.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))

localize9.0ms (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))

rewrite56.0ms (0.8%)

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)))))))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

eval208.0ms (2.9%)

Compiler: Compiled 7946 to 6230 computations (21.6% saved)

prune49.0ms (0.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	324	4	328
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	325	8	333

Error

Counts

333 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.9b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	7.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	24.4b	(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
▶	28.5b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	46.5b	(*.f64 (-.f64 1/2 y) x)
✓	34.0b	(*.f64 x (neg.f64 y))
▶	28.6b	(log.f64 2)

Compiler

Compiled 67 to 51 computations (23.9% saved)

localize3.0ms (0%)

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

localize6.0ms (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%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

localize27.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
✓	16.2b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 50 to 30 computations (40% saved)

series5.0ms (0.1%)

Counts

2 → 48

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	x	@	inf	(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
1.0ms	y	@	inf	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
1.0ms	x	@	inf	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
1.0ms	y	@	0	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`associate-/l/`
1008×	`distribute-lft-in`
354×	`add-sqr-sqrt`
344×	`pow1`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	343	32
2	4954	32

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs

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

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1754×	`associate-/l*`
824×	`associate-/r*`
476×	`distribute-lft-neg-in`
446×	`+-commutative`
430×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	4979
1	763	4475
2	3009	4331

Stop Event

1×	node limit

Counts

143 → 145

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

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))
(neg.f64 (*.f64 x y))
(*.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))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)) x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 y (/.f64 (+.f64 1/2 y) y))) (log.f64 2))
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eval76.0ms (1.1%)

Compiler: Compiled 3853 to 2880 computations (25.3% saved)

prune41.0ms (0.6%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	214	5	219
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	214	13	227

Error

Counts

227 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.9b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	56.7b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶	58.2b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
▶	56.7b	(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
▶	46.5b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	7.4b	(-.f64 (log.f64 2) (*.f64 x y))
✓	24.4b	(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
✓	28.5b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	46.5b	(*.f64 (-.f64 1/2 y) x)
✓	34.0b	(*.f64 x (neg.f64 y))
▶	61.7b	(*.f64 1/2 x)
✓	28.6b	(log.f64 2)

Compiler

Compiled 175 to 129 computations (26.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 1/2 y))
✓	0.1b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`associate-*r/`
944×	`associate-*l/`
916×	`associate-/r*`
856×	`*-commutative`
724×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	198	26
2	2601	26

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-*r/`
1368×	`associate-/l*`
1362×	`associate-*l/`
1116×	`associate-/r*`
426×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	330	3625
1	975	3367
2	3389	3367

Stop Event

1×	node limit

Counts

149 → 180

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.0b	(.f64 x (-.f64 1/4 (.f64 y y)))
✓	8.3b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

171 → 178

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	16.2b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
✓	10.8b	(/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4))

Compiler

Compiled 43 to 25 computations (41.9% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`associate-/l/`
1202×	`distribute-rgt-in`
1164×	`distribute-lft-in`
316×	`add-sqr-sqrt`
298×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	304	26
2	4487	26

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

Outputs

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1430×	`distribute-lft-in`
1386×	`distribute-rgt-in`
536×	`associate-/l/`
496×	`associate-/r/`
474×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	4440
1	1121	4174
2	3722	3966

Stop Event

1×	node limit

Counts

186 → 216

Calls

Call 1

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

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

eval189.0ms (2.6%)

Compiler: Compiled 10006 to 6770 computations (32.3% saved)

prune115.0ms (1.6%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	629	14	643
Fresh	0	0	0
Picked	1	0	1
Done	2	10	12
Total	632	24	656

Error

Counts

656 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.9b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	55.3b	(/.f64 (.f64 (.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
	58.3b	(/.f64 (neg.f64 (.f64 x (.f64 y y))) (+.f64 1/2 y))
	56.7b	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
✓	46.5b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	62.0b	(/.f64 x (/.f64 1 (+.f64 y 3/2)))
	46.6b	(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
	34.4b	(/.f64 x (/.f64 -1 y))
	56.7b	(/.f64 x (.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y)))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	7.4b	(-.f64 (log.f64 2) (*.f64 x y))
✓	24.4b	(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
	62.3b	(+.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
✓	28.5b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	59.4b	(.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
	58.2b	(.f64 (/.f64 1 (+.f64 y 1/2)) (.f64 x (-.f64 1/4 (*.f64 y y))))
✓	46.5b	(*.f64 (-.f64 1/2 y) x)
	56.7b	(.f64 (-.f64 1/4 (.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
	62.0b	(*.f64 (+.f64 3/2 y) x)
	62.1b	(*.f64 x (-.f64 y 1/2))
	46.6b	(*.f64 x (-.f64 -3/2 y))
✓	34.0b	(*.f64 x (neg.f64 y))
✓	61.7b	(*.f64 1/2 x)
✓	28.6b	(log.f64 2)

Compiler

Compiled 249 to 181 computations (27.3% saved)

regimes45.0ms (0.6%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
14.0ms	y
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 271 to 167 computations (38.4% saved)

regimes62.0ms (0.9%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	x
13.0ms	y

Results

Error	Segments	Branch
0.2b	2	`x`
7.4b	1	`y`

Compiler

Compiled 237 to 147 computations (38% saved)

bsearch46.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	-1981457.5585134686	-427.32471052480884

Results

25.0ms	83×	body	256	valid
14.0ms	28×	body	1024	valid
4.0ms	15×	body	512	valid
2.0ms	2×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes57.0ms (0.8%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	x
15.0ms	y

Results

Error	Segments	Branch
0.3b	2	`x`
7.4b	1	`y`

Compiler

Compiled 215 to 132 computations (38.6% saved)

bsearch38.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	-1981457.5585134686	-427.32471052480884

Results

16.0ms	33×	body	1024	valid
10.0ms	66×	body	256	valid
9.0ms	27×	body	512	valid
2.0ms	2×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 144 to 108 computations (25% saved)

regimes95.0ms (1.3%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

68.0ms	y
22.0ms	x

Results

Error	Segments	Branch
9.7b	2	`x`
17.1b	5	`y`

Compiler

Compiled 209 to 128 computations (38.8% saved)

bsearch26.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	-5.707132712162627e-23	-1.9005015326651016e-28

Results

24.0ms

144×

body

256

valid

Compiler

Compiled 160 to 129 computations (19.4% saved)

regimes129.0ms (1.8%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

81.0ms	y
43.0ms	x

Results

Error	Segments	Branch
8.7b	3	`x`
16.6b	7	`y`

Compiler

Compiled 203 to 123 computations (39.4% saved)

bsearch44.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	9.840900282034349e-18	4.367697438712582e-17
28.0ms	-5.707132712162627e-23	-1.9005015326651016e-28

Results

41.0ms

240×

body

256

valid

Compiler

Compiled 202 to 168 computations (16.8% saved)

regimes42.0ms (0.6%)

Accuracy

Total -29.0b remaining (-85.3%)

Threshold costs -29.0b (-85.3%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 -3/2 y))
(*.f64 x (-.f64 y 1/2))
(*.f64 (+.f64 3/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (neg.f64 (.f64 x (.f64 y y))) (+.f64 1/2 y))
(/.f64 (.f64 (.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(.f64 (-.f64 1/4 (.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(.f64 (/.f64 1 (+.f64 y 1/2)) (.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 x (.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y)))
(+.f64 (.f64 (/.f64 x (+.f64 1/2 y)) (.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (.f64 (.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))

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

Calls

2 calls:

20.0ms	y
17.0ms	x

Results

Error	Segments	Branch
34.0b	1	`x`
34.0b	1	`y`

Compiler

Compiled 201 to 121 computations (39.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	203
1	54	203
2	66	203
3	71	203
4	73	203

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -430) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -430) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3266710722441009/1361129467683753853853498429727072845824) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -2381976568446569/42535295865117307932921825928971026432) (.f64 x (neg.f64 y)) (if (<=.f64 x 6977148903656175/162259276829213363391578010288128) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -430) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -430) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -430) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3266710722441009/1361129467683753853853498429727072845824) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -3266710722441009/1361129467683753853853498429727072845824) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -2381976568446569/42535295865117307932921825928971026432) (.f64 x (neg.f64 y)) (if (<=.f64 x 6977148903656175/162259276829213363391578010288128) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -2381976568446569/42535295865117307932921825928971026432) (.f64 x (neg.f64 y)) (if (<=.f64 x 6977148903656175/162259276829213363391578010288128) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 91 to 65 computations (28.6% saved)

soundness476.0ms (6.6%)

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)

end46.0ms (0.6%)

Compiler: Compiled 79 to 44 computations (44.3% saved)

Details

analyze137.0ms (1.9%)

sample3.6s (50%)

preprocess81.0ms (1.1%)

simplify84.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.2%)

series82.0ms (1.1%)

rewrite87.0ms (1.2%)

simplify86.0ms (1.2%)

eval15.0ms (0.2%)

prune16.0ms (0.2%)

localize4.0ms (0.1%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite77.0ms (1.1%)

simplify92.0ms (1.3%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite56.0ms (0.8%)

simplify61.0ms (0.8%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite60.0ms (0.8%)

simplify99.0ms (1.4%)

eval208.0ms (2.9%)

prune49.0ms (0.7%)

localize3.0ms (0%)

localize6.0ms (0.1%)

localize9.0ms (0.1%)

localize27.0ms (0.4%)

series5.0ms (0.1%)

rewrite85.0ms (1.2%)

simplify73.0ms (1%)

eval76.0ms (1.1%)

prune41.0ms (0.6%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite69.0ms (1%)

simplify69.0ms (1%)

localize3.0ms (0%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite76.0ms (1.1%)

simplify80.0ms (1.1%)

localize13.0ms (0.2%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite79.0ms (1.1%)

simplify76.0ms (1.1%)

eval189.0ms (2.6%)

prune115.0ms (1.6%)

regimes45.0ms (0.6%)

regimes62.0ms (0.9%)

bsearch46.0ms (0.6%)

regimes57.0ms (0.8%)

bsearch38.0ms (0.5%)

regimes95.0ms (1.3%)

bsearch26.0ms (0.4%)

regimes129.0ms (1.8%)

bsearch44.0ms (0.6%)

regimes42.0ms (0.6%)

simplify8.0ms (0.1%)

soundness476.0ms (6.6%)

end46.0ms (0.6%)

Profiling