Details

analyze155.0ms (1.4%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.3s (30.2%)

Results

2.1s	2479×	body	8192	exit
1.0s	7800×	body	256	valid
118.0ms	231×	body	1024	valid
63.0ms	223×	body	512	valid
20.0ms	140×	body	256	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess92.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

99.6%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series50.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
21.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	y	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1798×	`add-cube-cbrt`
1778×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	187	30
2	2428	30

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

Outputs

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

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

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

91 → 80

Calls

Call 1

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

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

eval16.0ms (0.1%)

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

prune16.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Error

100.0%

Counts

81 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	96.7%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	99.6%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	84.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	40.5%	(*.f64 x (neg.f64 y))

Compiler

Compiled 103 to 76 computations (26.2% saved)

localize39.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 8 computations (73.3% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite122.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	225	30
2	2663	30

Stop Event

1×	node limit

Counts

2 → 172

Calls

Call 1

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

Outputs
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Outputs

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simplify253.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1472×	`associate--r+`
924×	`fma-def`
816×	`associate--l-`
624×	`associate-+l+`
606×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	436	10912
1	1195	9998
2	6868	9998

Stop Event

1×	node limit

Counts

208 → 252

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

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

localize4.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite116.0ms (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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(*.f64 (-.f64 1/2 y) x)) (log.f64 2))))))

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

148 → 214

Calls

Call 1

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	99.6%	(log1p.f64 (exp.f64 x))
✓	98.7%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
✓	98.2%	(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series31.0ms (0.3%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
3.0ms	x	@	0	(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
1.0ms	y	@	0	(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)

rewrite132.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`*-commutative`
904×	`unswap-sqr`
620×	`swap-sqr`
548×	`distribute-lft-in`
538×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	253	46
2	2941	46

Stop Event

1×	node limit

Counts

2 → 206

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)

Outputs

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

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-r`
1020×	`associate-l`
740×	`*-commutative`
716×	`associate-+l+`
612×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	666	18634
1	2005	17906

Stop Event

1×	node limit

Counts

222 → 340

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x)))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 y x))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 y x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 y x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
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(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
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x)))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))) (.f64 x x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 2)))
(+.f64 (.f64 1/3 (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (-.f64 1/2 y) x))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 x x))))) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) x))))))
(+.f64 (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3))) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))) (.f64 x x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (log.f64 2)))
(+.f64 (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (fma.f64 2/3 (.f64 (-.f64 1/2 y) (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 (-.f64 1/2 y) 3) 1/27))) (pow.f64 x 3))) (.f64 1/3 (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (.f64 (-.f64 1/2 y) x))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 x x)))))) (cbrt.f64 (log.f64 2)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (.f64 y x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (.f64 -1/3 (.f64 y (.f64 (.f64 x (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 y x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (.f64 y x)) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18)) (.f64 (.f64 x x) (*.f64 y y))))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (fma.f64 -1/3 (.f64 y (.f64 (.f64 x (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (*.f64 y x) 2))))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 y x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (fma.f64 -1/27 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (.f64 2/9 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (pow.f64 y 3))) (+.f64 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (.f64 y x)) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18)) (.f64 (.f64 x x) (.f64 y y))))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (.f64 (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) 5/27) (pow.f64 y 3))) (+.f64 (fma.f64 -1/3 (.f64 y (.f64 (.f64 x (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (*.f64 y x) 2))))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(log.f64 2)
(+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y)))) x))
(+.f64 (log.f64 2) (.f64 x (.f64 (.f64 (-.f64 1/2 y) (.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) 1)))
(+.f64 (log.f64 2) (.f64 x (.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (.f64 2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y)))) x)))
(fma.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (fma.f64 2/3 (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (.f64 1/9 (.f64 (pow.f64 (-.f64 1/2 y) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (+.f64 (.f64 1/3 (-.f64 1/8 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2))))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) 2/9))) (.f64 x x) (+.f64 (log.f64 2) (.f64 x (.f64 (.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) 1))))
(fma.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (fma.f64 2/3 (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (.f64 1/9 (.f64 (.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (fma.f64 1/3 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (.f64 (pow.f64 (-.f64 1/2 y) 2) 2/9)))) (.f64 x x) (+.f64 (log.f64 2) (.f64 x (.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))))))
(+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 (-.f64 1/2 y) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/2 y) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3))))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (.f64 2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y)))) x))))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 y x) 6)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (.f64 y x) 6)) (.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (.f64 (pow.f64 (.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (.f64 y x) 3) 3)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (.f64 (pow.f64 (.f64 y x) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (.f64 y x) 3) 3)) (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (.f64 y x) 2))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (.f64 (pow.f64 (.f64 y x) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 y x) 2)) (.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 y x) 2)) (.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 y x) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))
(/.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 y x) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (sqrt.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))) (sqrt.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (*.f64 y x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (.f64 y x) 2))) (.f64 (cbrt.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (.f64 y x) 2))) (cbrt.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (.f64 y x) 2))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x)))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 y x))) (pow.f64 (*.f64 y x) 2))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))

eval589.0ms (5.3%)

Compiler: Compiled 27701 to 13885 computations (49.9% saved)

prune278.0ms (2.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	956	5	961
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	958	9	967

Error

100.0%

Counts

967 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	98.7%	(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 2) (*.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	75.7%	(-.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 x y))
✓	84.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	61.3%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	24.9%	(*.f64 (-.f64 1/2 y) x)
✓	40.5%	(*.f64 x (neg.f64 y))
▶	60.7%	(log.f64 2)

Compiler

Compiled 125 to 98 computations (21.6% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 2) (*.f64 x y))
	99.6%	(log1p.f64 (exp.f64 x))
✓	98.8%	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 2)

Compiler

Compiled 36 to 17 computations (52.8% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite130.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	274	30
2	3834	30

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 x)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> 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simplify236.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1786×	`associate--r+`
1038×	`associate-+l+`
986×	`associate-+r+`
958×	`fma-def`
556×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	538	12325
1	1411	11467
2	7315	11467

Stop Event

1×	node limit

Counts

253 → 303

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	100.0%	(*.f64 (-.f64 1/2 y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize3.0ms (0%)

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

localize11.0ms (0.1%)

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

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
0.0ms	y	@	0	(-.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 x y))
0.0ms	x	@	-inf	(-.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 x y))
0.0ms	x	@	inf	(-.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 x y))
0.0ms	y	@	-inf	(-.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 1/2 x) (log.f64 2)))) (.f64 x y))

rewrite165.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`associate-*r/`
962×	`associate-*l/`
936×	`distribute-lft-in`
400×	`associate-+l+`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	299	38
2	3689	38

Stop Event

1×	node limit

Counts

2 → 260

Calls

Call 1

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

Outputs

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

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

852×	`associate-r`
784×	`associate-l`
762×	`associate-/l*`
736×	`associate-+l+`
662×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	653	18250
1	1923	17268

Stop Event

1×	node limit

Counts

296 → 391

Calls

Call 1

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

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

eval434.0ms (3.9%)

Compiler: Compiled 20742 to 11643 computations (43.9% saved)

prune177.0ms (1.6%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	785	8	793
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	787	15	802

Error

100.0%

Counts

802 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.5%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	9.8%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	12.6%	(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
	24.9%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
▶	91.0%	(-.f64 (-.f64 (+.f64 (log.f64 2) 2) 2) (*.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	83.2%	(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (.f64 1/2 x) (+.f64 (.f64 x y) 1)))
✓	84.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	61.3%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	12.6%	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
✓	24.9%	(*.f64 (-.f64 1/2 y) x)
✓	40.5%	(*.f64 x (neg.f64 y))
▶	3.6%	(*.f64 1/2 x)
✓	60.7%	(log.f64 2)

Compiler

Compiled 242 to 182 computations (24.8% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(-.f64 (-.f64 (+.f64 (log.f64 2) 2) 2) (*.f64 x y))
✓	98.4%	(-.f64 (+.f64 (log.f64 2) 2) 2)

Compiler

Compiled 30 to 23 computations (23.3% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`associate-*r/`
1228×	`associate-*l/`
1100×	`*-commutative`
406×	`associate-+l+`
308×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	254	22
2	3636	22

Stop Event

1×	node limit

Counts

2 → 216

Calls

Call 1

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

Outputs

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

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-+r+`
1244×	`associate--r+`
1036×	`fma-def`
740×	`associate--l-`
528×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	11348
1	1369	10132
2	7137	10120

Stop Event

1×	node limit

Counts

240 → 300

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

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

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
✓	83.9%	(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-/l*`
1408×	`associate-/r/`
820×	`associate-/l/`
736×	`distribute-lft-in`
260×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	253	20
2	3564	20

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1636×	`associate-/r/`
962×	`associate-r`
614×	`+-commutative`
610×	`*-commutative`
606×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	417	6019
1	1360	5457
2	6417	5457

Stop Event

1×	node limit

Counts

175 → 241

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(*.f64 -1 y)
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(*.f64 -1 y)
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 y))
(+.f64 1/2 (*.f64 -1 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 (-.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 (neg.f64 y))
(+.f64 (neg.f64 y) 1/2)
(+.f64 (/.f64 1/4 (+.f64 y 1/2)) (neg.f64 (*.f64 (/.f64 y (+.f64 y 1/2)) y)))
(+.f64 (/.f64 1/4 (+.f64 y 1/2)) (.f64 1 (neg.f64 (.f64 (/.f64 y (+.f64 y 1/2)) y))))
(+.f64 (/.f64 1/4 (+.f64 y 1/2)) (.f64 (/.f64 1 (+.f64 y 1/2)) (neg.f64 (.f64 y y))))
(+.f64 (/.f64 1/4 (+.f64 y 1/2)) (.f64 (/.f64 1 (+.f64 y 1/2)) (.f64 (neg.f64 (*.f64 y y)) 1)))
(+.f64 (neg.f64 (*.f64 (/.f64 y (+.f64 y 1/2)) y)) (/.f64 1/4 (+.f64 y 1/2)))
(+.f64 (-.f64 1/2 (exp.f64 (log1p.f64 y))) 1)
(+.f64 (.f64 (/.f64 1 (+.f64 y 1/2)) (neg.f64 (.f64 y y))) (/.f64 1/4 (+.f64 y 1/2)))
(+.f64 (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (.f64 y y))) 1/2) (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (.f64 y y))) (neg.f64 y)))
(+.f64 (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (.f64 y y))) (/.f64 1/4 (+.f64 y 1/2))) (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (.f64 y y))) (neg.f64 (*.f64 (/.f64 y (+.f64 y 1/2)) y))))
(+.f64 (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/8 (pow.f64 y 3))) 1/4) (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/8 (pow.f64 y 3))) (*.f64 y (-.f64 y 1/2))))
(+.f64 (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/8 (pow.f64 y 3))) (.f64 y (-.f64 y 1/2))) (.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/8 (pow.f64 y 3))) 1/4))
(-.f64 1/2 y)
(-.f64 (/.f64 1/4 (+.f64 y 1/2)) (*.f64 (/.f64 y (+.f64 y 1/2)) y))
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 y))) 1)
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (-.f64 1/2 y) 1)
(*.f64 1 (-.f64 1/2 y))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.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 1 (+.f64 y 1/2))))
(.f64 (/.f64 1 (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (+.f64 -1/4 (.f64 y y)) (/.f64 1 (-.f64 -1/2 y)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(.f64 (/.f64 1 (-.f64 1/4 (.f64 y y))) (.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))
(.f64 (/.f64 1 (+.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 1 (-.f64 -1/2 y)) (+.f64 -1/4 (.f64 y y)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) 1) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2)) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 y 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 y 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (+.f64 y 1/2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.f64 (-.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 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 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 1/4 (.f64 y y)) (-.f64 1/64 (pow.f64 y 6))) (.f64 (-.f64 1/2 y) (+.f64 (pow.f64 y 4) (+.f64 (.f64 1/4 (*.f64 y y)) 1/16))))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 -1/4 (*.f64 y y))) (neg.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (-.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 -1/4 (.f64 y y)) (+.f64 -1/4 (*.f64 y y))) (-.f64 1/2 y))
(.f64 (/.f64 (-.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 1/4 (.f64 y y))) 2))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(.f64 (/.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 (-.f64 1/16 (pow.f64 y 4)) (/.f64 1 (+.f64 y 1/2))) (-.f64 1/16 (pow.f64 y 4))) (-.f64 1/4 (*.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 1 (+.f64 y 1/2))) (+.f64 1/64 (pow.f64 y 6))) (+.f64 1/16 (-.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))))
(.f64 (/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 y 1/2))) (-.f64 1/256 (.f64 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))) (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))))) (-.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (*.f64 y y)))))
(.f64 (/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 y 1/2))) (+.f64 1/4096 (pow.f64 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))) 3))) (-.f64 (+.f64 1/256 (.f64 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))) (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))))) (.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))))))
(.f64 (/.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (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)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (/.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))))
(.f64 (/.f64 (-.f64 (+.f64 1/8 (.f64 1/4 y)) (.f64 (+.f64 y 1/2) (.f64 y y))) (pow.f64 (-.f64 1/4 (*.f64 y y)) 2)) (pow.f64 (-.f64 1/2 y) 2))
(.f64 (/.f64 (-.f64 (+.f64 1/8 (.f64 1/4 y)) (.f64 (+.f64 y 1/2) (.f64 y y))) (.f64 (+.f64 1/8 (pow.f64 y 3)) (+.f64 1/8 (pow.f64 y 3)))) (.f64 (+.f64 1/4 (.f64 y (-.f64 y 1/2))) (+.f64 1/4 (.f64 y (-.f64 y 1/2)))))
(.f64 (/.f64 (-.f64 (+.f64 1/8 (.f64 1/4 y)) (.f64 (+.f64 y 1/2) (.f64 y y))) (.f64 (+.f64 y 1/2) (-.f64 1/4 (.f64 y y)))) (-.f64 1/2 y))
(.f64 (/.f64 (-.f64 (+.f64 1/8 (.f64 1/4 y)) (.f64 (+.f64 y 1/2) (.f64 y y))) (.f64 (+.f64 y 1/2) (+.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(.f64 (/.f64 (-.f64 (+.f64 1/8 (.f64 1/4 y)) (.f64 (+.f64 y 1/2) (.f64 y y))) (.f64 (-.f64 1/4 (.f64 y y)) (+.f64 y 1/2))) (-.f64 1/2 y))
(.f64 (/.f64 (-.f64 (+.f64 1/8 (.f64 1/4 y)) (.f64 (+.f64 y 1/2) (.f64 y y))) (.f64 (+.f64 1/8 (pow.f64 y 3)) (+.f64 y 1/2))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))
(.f64 (/.f64 (-.f64 (+.f64 1/8 (.f64 1/4 y)) (.f64 (+.f64 y 1/2) (.f64 y y))) (.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/8 (pow.f64 y 3)))) (.f64 (-.f64 1/2 y) (+.f64 1/4 (.f64 y (-.f64 y 1/2)))))
(.f64 (/.f64 (-.f64 (+.f64 1/8 (.f64 1/4 y)) (.f64 (+.f64 y 1/2) (.f64 y y))) (.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (.f64 y y)))) (.f64 (+.f64 1/4 (.f64 y (-.f64 y 1/2))) (-.f64 1/2 y)))
(pow.f64 (-.f64 1/2 y) 1)
(pow.f64 (sqrt.f64 (-.f64 1/2 y)) 2)
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 3)
(pow.f64 (pow.f64 (-.f64 1/2 y) 3) 1/3)
(pow.f64 (/.f64 1 (-.f64 1/2 y)) -1)
(neg.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 -1/2 y)))
(sqrt.f64 (pow.f64 (-.f64 1/2 y) 2))
(log.f64 (exp.f64 (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 y))))
(cbrt.f64 (pow.f64 (-.f64 1/2 y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 (+.f64 y 1/2) 3)))
(expm1.f64 (log.f64 (-.f64 3/2 y)))
(exp.f64 (log.f64 (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(log1p.f64 (expm1.f64 (-.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 x (/.f64 1/4 (+.f64 y 1/2))) (.f64 x (neg.f64 (*.f64 (/.f64 y (+.f64 y 1/2)) y))))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (.f64 y y)))) 1/2) (.f64 (/.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (.f64 y y)))) (neg.f64 y)))
(+.f64 (.f64 (/.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (.f64 y y)))) (/.f64 1/4 (+.f64 y 1/2))) (.f64 (/.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/4 (.f64 y y)))) (neg.f64 (*.f64 (/.f64 y (+.f64 y 1/2)) y))))
(+.f64 (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 (+.f64 1/8 (pow.f64 y 3)) x)) 1/4) (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 (+.f64 1/8 (pow.f64 y 3)) x)) (*.f64 y (-.f64 y 1/2))))
(+.f64 (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 (+.f64 1/8 (pow.f64 y 3)) x)) (.f64 y (-.f64 y 1/2))) (.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/8 (pow.f64 y 3)) x)) 1/4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (/.f64 (+.f64 y 1/2) x) 1))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 1 (/.f64 (/.f64 (+.f64 y 1/2) x) (-.f64 1/4 (*.f64 y y))))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1/2 y)) x))
(/.f64 1 (.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 (/.f64 (+.f64 y 1/2) x) (sqrt.f64 (-.f64 1/4 (.f64 y y)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 (+.f64 y 1/2) (.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (-.f64 1/2 y)) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 (/.f64 (+.f64 y 1/2) x) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (/.f64 (/.f64 (+.f64 y 1/2) x) (cbrt.f64 (-.f64 1/4 (.f64 y y)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (/.f64 (+.f64 y 1/2) (.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) x)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (-.f64 1/2 y)) (cbrt.f64 x)))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (+.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (.f64 y y))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (+.f64 (pow.f64 y 4) (+.f64 (.f64 1/4 (.f64 y y)) 1/16)))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 (pow.f64 y 4) (+.f64 (.f64 1/4 (*.f64 y y)) 1/16))))
(/.f64 (+.f64 -1/4 (*.f64 y y)) (/.f64 (-.f64 -1/2 y) x))
(/.f64 (sqrt.f64 (.f64 (-.f64 1/4 (.f64 y y)) x)) (/.f64 (+.f64 y 1/2) (sqrt.f64 (.f64 (-.f64 1/4 (.f64 y y)) x))))
(/.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1/4 (.f64 y y)) x)) (cbrt.f64 (.f64 (-.f64 1/4 (.f64 y y)) x))) (/.f64 (+.f64 y 1/2) (cbrt.f64 (.f64 (-.f64 1/4 (*.f64 y y)) x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 x)) (/.f64 (+.f64 y 1/2) (sqrt.f64 x)))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 y 1/2) (cbrt.f64 x)))
(/.f64 (.f64 x (+.f64 -1/4 (.f64 y y))) (-.f64 -1/2 y))
(/.f64 (.f64 (-.f64 1/16 (pow.f64 y 4)) x) (.f64 (+.f64 y 1/2) (+.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 y 6)) x) (.f64 (+.f64 y 1/2) (+.f64 (pow.f64 y 4) (+.f64 (.f64 1/4 (.f64 y y)) 1/16))))
(/.f64 (.f64 (+.f64 -1/4 (.f64 y y)) x) (-.f64 -1/2 y))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (sqrt.f64 (+.f64 y 1/2)) x)) (sqrt.f64 (+.f64 y 1/2)))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) x)) (cbrt.f64 (+.f64 y 1/2)))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (.f64 (/.f64 (+.f64 y 1/2) x) (neg.f64 (+.f64 1/4 (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (.f64 (/.f64 (+.f64 y 1/2) x) (neg.f64 (+.f64 (pow.f64 y 4) (+.f64 (.f64 1/4 (*.f64 y y)) 1/16)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (sqrt.f64 x)) (/.f64 (+.f64 y 1/2) (.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (sqrt.f64 x))))
(/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (*.f64 y y))))
(/.f64 (+.f64 1/64 (pow.f64 (neg.f64 (.f64 y y)) 3)) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/16 (-.f64 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y))) (.f64 1/4 (neg.f64 (*.f64 y y)))))))
(/.f64 (neg.f64 (.f64 (-.f64 1/4 (.f64 y y)) x)) (-.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))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 (+.f64 1/2 y) x)
✓	77.9%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

138 → 121

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(-.f64 (.f64 1/2 x) (+.f64 (.f64 x y) 1))
✓	99.1%	(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (.f64 1/2 x) (+.f64 (.f64 x y) 1)))

Compiler

Compiled 47 to 31 computations (34% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite164.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`associate-/r*`
626×	`associate-+l+`
442×	`associate-/r/`
414×	`+-commutative`
412×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	337	54
2	4701	42

Stop Event

1×	node limit

Counts

2 → 222

Calls

Call 1

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

Outputs

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

simplify352.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

852×	`+-commutative`
816×	`associate-r`
746×	`distribute-lft-in`
702×	`distribute-rgt-in`
636×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	668	18074
1	2112	16834

Stop Event

1×	node limit

Counts

270 → 394

Calls

Call 1

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

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

eval591.0ms (5.4%)

Compiler: Compiled 27356 to 19243 computations (29.7% saved)

prune367.0ms (3.3%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	1046	10	1056
Fresh	1	2	3
Picked	0	1	1
Done	1	10	11
Total	1048	23	1071

Error

100.0%

Counts

1071 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	12.5%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
	3.0%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
	7.8%	(/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (*.f64 y y))))
	12.6%	(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
	24.9%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	24.9%	(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
	12.5%	(/.f64 1 (.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
✓	91.0%	(-.f64 (-.f64 (+.f64 (log.f64 2) 2) 2) (*.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.9%	(-.f64 (log.f64 2) (*.f64 x y))
✓	83.2%	(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (.f64 1/2 x) (+.f64 (.f64 x y) 1)))
	60.5%	(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (*.f64 1/2 x) 1))
	59.9%	(+.f64 (+.f64 (log.f64 2) 1) -1)
✓	84.1%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	61.3%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	12.6%	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
	12.5%	(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
	9.8%	(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
✓	24.9%	(*.f64 (-.f64 1/2 y) x)
	12.6%	(.f64 (.f64 (/.f64 1 (-.f64 -1/2 y)) (+.f64 -1/4 (*.f64 y y))) x)
✓	40.5%	(*.f64 x (neg.f64 y))
✓	3.6%	(*.f64 1/2 x)
✓	60.7%	(log.f64 2)

Compiler

Compiled 261 to 196 computations (24.9% saved)

regimes70.0ms (0.6%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
14.0ms	y
14.0ms	x

Results

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

Compiler

Compiled 307 to 188 computations (38.8% saved)

regimes72.0ms (0.6%)

Counts

24 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(.f64 (.f64 (/.f64 1 (-.f64 -1/2 y)) (+.f64 -1/4 (*.f64 y y))) x)
(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(/.f64 1 (.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (*.f64 y y))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (+.f64 (log.f64 2) 1) -1)
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (*.f64 1/2 x) 1))
(-.f64 (-.f64 (+.f64 (log.f64 2) 2) 2) (*.f64 x y))
(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (.f64 1/2 x) (+.f64 (.f64 x y) 1)))

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

Calls

2 calls:

54.0ms	x
11.0ms	y

Results

Error	Segments	Branch
99.9%	2	`x`
91.9%	1	`y`

Compiler

Compiled 238 to 154 computations (35.3% saved)

bsearch126.0ms (1.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
126.0ms	-1095103600721314300.0	-128906066083303.5

Results

34.0ms	65×	body	256	valid
31.0ms	46×	body	1024	valid
6.0ms	16×	body	512	valid
1.0ms	1×	body	2048	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes111.0ms (1%)

Counts

20 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(.f64 (.f64 (/.f64 1 (-.f64 -1/2 y)) (+.f64 -1/4 (*.f64 y y))) x)
(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(/.f64 1 (.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (*.f64 y y))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (+.f64 (log.f64 2) 1) -1)
(-.f64 (log.f64 2) (*.f64 x y))

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

Calls

2 calls:

61.0ms	y
43.0ms	x

Results

Error	Segments	Branch
99.4%	2	`x`
91.9%	1	`y`

Compiler

Compiled 196 to 122 computations (37.8% saved)

bsearch43.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-1095103600721314300.0	-128906066083303.5

Results

23.0ms	44×	body	1024	valid
11.0ms	64×	body	256	valid
6.0ms	19×	body	512	valid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 144 to 108 computations (25% saved)

regimes223.0ms (2%)

Counts

19 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(.f64 (.f64 (/.f64 1 (-.f64 -1/2 y)) (+.f64 -1/4 (*.f64 y y))) x)
(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(/.f64 1 (.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (*.f64 y y))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (+.f64 (log.f64 2) 1) -1)

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

Calls

2 calls:

137.0ms	y
79.0ms	x

Results

Error	Segments	Branch
86.2%	3	`x`
74.1%	5	`y`

Compiler

Compiled 190 to 118 computations (37.9% saved)

bsearch54.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	3.72264259802088e-46	1.990340837219715e-42
20.0ms	-498.99956763650556	-5.245689017444045e-6

Results

50.0ms

272×

body

256

valid

Compiler

Compiled 296 to 241 computations (18.6% saved)

regimes153.0ms (1.4%)

Counts

17 → 3

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(.f64 (.f64 (/.f64 1 (-.f64 -1/2 y)) (+.f64 -1/4 (*.f64 y y))) x)
(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(/.f64 1 (.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (*.f64 y y))))
(log.f64 2)

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

Calls

2 calls:

100.0ms	y
49.0ms	x

Results

Error	Segments	Branch
85.8%	3	`x`
73.7%	5	`y`

Compiler

Compiled 178 to 107 computations (39.9% saved)

bsearch49.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.72264259802088e-46	1.990340837219715e-42
30.0ms	-498.99956763650556	-5.245689017444045e-6

Results

45.0ms

272×

body

256

valid

Compiler

Compiled 228 to 190 computations (16.7% saved)

regimes91.0ms (0.8%)

Accuracy

Total -25.2b remaining (-66%)

Threshold costs -25.20b (-66%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(.f64 (.f64 (/.f64 1 (-.f64 -1/2 y)) (+.f64 -1/4 (*.f64 y y))) x)
(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(/.f64 1 (.f64 (/.f64 (+.f64 y 1/2) x) (/.f64 1 (-.f64 1/4 (.f64 y y)))))
(/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (*.f64 y y))))

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

Calls

2 calls:

46.0ms	y
41.0ms	x

Results

Error	Segments	Branch
40.5%	1	`x`
40.5%	1	`y`

Compiler

Compiled 176 to 105 computations (40.3% saved)

simplify9.0ms (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	39	225
1	57	225
2	69	225
3	74	225
4	76	225

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -130000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -130000000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -7378697629483821/295147905179352825856) (.f64 x (neg.f64 y)) (if (<=.f64 x 3060087096001007/1569275433846670190958947355801916604025588861116008628224) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -6375194751874021/1180591620717411303424) (.f64 x (neg.f64 y)) (if (<=.f64 x 5649391561848013/3138550867693340381917894711603833208051177722232017256448) (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 -130000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -130000000000000) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -130000000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -7378697629483821/295147905179352825856) (.f64 x (neg.f64 y)) (if (<=.f64 x 3060087096001007/1569275433846670190958947355801916604025588861116008628224) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -7378697629483821/295147905179352825856) (.f64 x (neg.f64 y)) (if (<=.f64 x 3060087096001007/1569275433846670190958947355801916604025588861116008628224) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6375194751874021/1180591620717411303424) (.f64 x (neg.f64 y)) (if (<=.f64 x 5649391561848013/3138550867693340381917894711603833208051177722232017256448) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -6375194751874021/1180591620717411303424) (.f64 x (neg.f64 y)) (if (<=.f64 x 5649391561848013/3138550867693340381917894711603833208051177722232017256448) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 100 to 71 computations (29% saved)

soundness506.0ms (4.6%)

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)

end59.0ms (0.5%)

Compiler: Compiled 88 to 50 computations (43.2% saved)

Details

analyze155.0ms (1.4%)

sample3.3s (30.2%)

preprocess92.0ms (0.8%)

simplify83.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series50.0ms (0.5%)

rewrite97.0ms (0.9%)

simplify87.0ms (0.8%)

eval16.0ms (0.1%)

prune16.0ms (0.1%)

localize39.0ms (0.4%)

series1.0ms (0%)

rewrite122.0ms (1.1%)

simplify253.0ms (2.3%)

localize4.0ms (0%)

localize10.0ms (0.1%)

series4.0ms (0%)

rewrite63.0ms (0.6%)

simplify72.0ms (0.6%)

localize14.0ms (0.1%)

series2.0ms (0%)

rewrite116.0ms (1.1%)

simplify110.0ms (1%)

localize32.0ms (0.3%)

series31.0ms (0.3%)

rewrite132.0ms (1.2%)

simplify171.0ms (1.5%)

eval589.0ms (5.3%)

prune278.0ms (2.5%)

localize14.0ms (0.1%)

series1.0ms (0%)

rewrite130.0ms (1.2%)

simplify236.0ms (2.1%)

localize6.0ms (0.1%)

localize3.0ms (0%)

localize11.0ms (0.1%)

localize29.0ms (0.3%)

series1.0ms (0%)

rewrite165.0ms (1.5%)

simplify159.0ms (1.4%)

eval434.0ms (3.9%)

prune177.0ms (1.6%)

localize15.0ms (0.1%)

series0.0ms (0%)

rewrite93.0ms (0.8%)

simplify137.0ms (1.2%)

localize3.0ms (0%)

localize13.0ms (0.1%)

series4.0ms (0%)

rewrite85.0ms (0.8%)

simplify102.0ms (0.9%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite79.0ms (0.7%)

simplify64.0ms (0.6%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite164.0ms (1.5%)

simplify352.0ms (3.2%)

eval591.0ms (5.4%)

prune367.0ms (3.3%)

regimes70.0ms (0.6%)

regimes72.0ms (0.6%)

bsearch126.0ms (1.1%)

regimes111.0ms (1%)

bsearch43.0ms (0.4%)

regimes223.0ms (2%)

bsearch54.0ms (0.5%)

regimes153.0ms (1.4%)

bsearch49.0ms (0.4%)

regimes91.0ms (0.8%)

simplify9.0ms (0.1%)

soundness506.0ms (4.6%)

end59.0ms (0.5%)

Profiling