Details

analyze140.0ms (1.3%)

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)

sample3.9s (37.6%)

Results

2.4s	2560×	body	8192	exit
1.3s	7800×	body	256	valid
119.0ms	217×	body	1024	valid
64.0ms	237×	body	512	valid
17.0ms	128×	body	256	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess89.0ms (0.9%)

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

0.4%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.38%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series49.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
18.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2.0ms	x	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

Outputs

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

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

91 → 80

Calls

Call 1

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

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

eval16.0ms (0.2%)

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

prune15.0ms (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

0.32%

Counts

81 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.6%	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
✓	0.4%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	8.79%	(-.f64 (log.f64 2) (*.f64 x y))
▶	25.12%	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
▶	19.14%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	56.72%	(*.f64 x (neg.f64 y))

Compiler

Compiled 151 to 100 computations (33.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

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))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	0.01%	(*.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 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	x	@	inf	(*.f64 (-.f64 1/2 y) x)
0.0ms	x	@	0	(*.f64 (-.f64 1/2 y) x)
0.0ms	y	@	0	(*.f64 (-.f64 1/2 y) x)

rewrite101.0ms (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

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

simplify104.0ms (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)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(.f64 (/.f64 1 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x))))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (.f64 (.f64 (-.f64 1/2 y) x) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (pow.f64 (log.f64 2) 2) (.f64 (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))) (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x))) 3))) (+.f64 (.f64 (.f64 (-.f64 1/2 y) x) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x))) (-.f64 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x))) (pow.f64 (.f64 (-.f64 1/2 y) x) 2)))))
(/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 1 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 1/2 y) x) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3))) (.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))) (+.f64 (.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (.f64 (-.f64 1/2 y) x) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 (-.f64 1/2 y) x) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 (-.f64 1/2 y) x) 2)) 1) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) 1) (neg.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 1/2 y) x) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (log.f64 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (.f64 (.f64 (-.f64 1/2 y) x) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 (-.f64 1/2 y) x) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))) (+.f64 (.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)) (.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 (-.f64 1/2 y) x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) (cbrt.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))))) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 (-.f64 1/2 y) x)))) (-.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 (-.f64 1/2 y) x)))))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (sqrt.f64 (.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (.f64 (-.f64 1/2 y) x)) (log.f64 2))

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

localize55.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(*.f64 (-.f64 1/2 y) x)
✓	0.02%	(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
✓	0.02%	(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))

Compiler

Compiled 47 to 36 computations (23.4% saved)

series2.0ms (0%)

Counts

2 → 21

Calls

9 calls:

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

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	334	52
2	4336	52

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

simplify127.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1780×	`associate-/l*`
728×	`associate-/r*`
676×	`+-commutative`
512×	`associate-+r+`
480×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	10682
1	971	9984
2	3991	9924

Stop Event

1×	node limit

Counts

154 → 232

Calls

Call 1

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

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

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.41%	(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
✓	1.09%	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
✓	1.11%	(pow.f64 (log1p.f64 (exp.f64 x)) 2)
✓	20.32%	(/.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)))))

Compiler

Compiled 104 to 32 computations (69.2% saved)

series12.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.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)))))
1.0ms	y	@	0	(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
1.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
1.0ms	y	@	inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))

rewrite151.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`associate-/r/`
632×	`associate-+l+`
416×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
398×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	154
1	417	80
2	5925	80

Stop Event

1×	node limit

Counts

4 → 266

Calls

Call 1

Inputs
(/.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)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

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

simplify227.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1078×	`associate-r`
898×	`associate-/l*`
836×	`+-commutative`
836×	`associate-l`
786×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	792	25952
1	2472	25398

Stop Event

1×	node limit

Counts

338 → 470

Calls

Call 1

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

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

eval775.0ms (7.4%)

Compiler: Compiled 34912 to 18875 computations (45.9% saved)

prune301.0ms (2.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1031	9	1040
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	1035	11	1046

Error

0.32%

Counts

1046 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.59%	(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
✓	8.79%	(-.f64 (log.f64 2) (*.f64 x y))
▶	41.98%	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
▶	41.71%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	57.21%	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	74.08%	(*.f64 (-.f64 1/2 y) x)
▶	80.44%	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
▶	96.74%	(.f64 x (.f64 1/8 x))
✓	56.72%	(*.f64 x (neg.f64 y))
	41.06%	(log1p.f64 (exp.f64 x))
	42.78%	(log.f64 2)

Compiler

Compiled 178 to 144 computations (19.1% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(log1p.f64 (*.f64 (-.f64 1/2 y) x))
✓	0.05%	(+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
✓	0.87%	(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
✓	1.18%	(exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))

Compiler

Compiled 52 to 39 computations (25% saved)

series45.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	(exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
8.0ms	x	@	inf	(exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
1.0ms	y	@	-inf	(exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
1.0ms	y	@	inf	(exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
1.0ms	y	@	0	(exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))

rewrite119.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`associate-*r/`
1520×	`associate-*l/`
326×	`add-sqr-sqrt`
312×	`*-un-lft-identity`
310×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	319	88
2	4071	88

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify178.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

936×	`+-commutative`
844×	`associate-r`
758×	`associate-+r+`
728×	`associate-l`
590×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	776	20497
1	2316	18275

Stop Event

1×	node limit

Counts

293 → 505

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 110

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.02%	(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
✓	0.02%	(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))

Compiler

Compiled 39 to 32 computations (17.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1008×	`distribute-rgt-in`
968×	`distribute-lft-in`
860×	`associate-*l/`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	284	27
2	3574	27

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

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

Outputs

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

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1662×	`associate-/r*`
828×	`associate-/r/`
756×	`associate-/l/`
598×	`+-commutative`
418×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	8727
1	851	8467
2	3816	8365

Stop Event

1×	node limit

Counts

107 → 178

Calls

Call 1

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

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 x (.f64 x 1/8))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x 1/8)))
(.f64 x (+.f64 1/2 (.f64 x 1/8)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 x (.f64 x 1/8))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x 1/8)))
(.f64 x (+.f64 1/2 (.f64 x 1/8)))
(+.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)))
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(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (log.f64 2))) (*.f64 1/2 x))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))

eval601.0ms (5.7%)

Compiler: Compiled 29708 to 22707 computations (23.6% saved)

prune235.0ms (2.2%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	921	12	933
Fresh	1	3	4
Picked	1	0	1
Done	2	4	6
Total	925	19	944

Error

0.32%

Counts

944 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	86.44%	(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
	94.27%	(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
▶	94.18%	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
▶	20.01%	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2))) 1)
	42.54%	(-.f64 (+.f64 (log.f64 2) (+.f64 1 (*.f64 1/2 x))) 1)
	97.72%	(-.f64 (+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 (-.f64 1/2 y) x)))))) 1)
	97.72%	(-.f64 (+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 (-.f64 1/2 y)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))))) 1)
	43.59%	(-.f64 (+.f64 (log.f64 2) 1) 1)
✓	8.79%	(-.f64 (log.f64 2) (*.f64 x y))
	80.44%	(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8)))
	41.98%	(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) 1/8 (log.f64 2)))
✓	41.71%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	57.21%	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	96.94%	(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
✓	96.74%	(.f64 x (.f64 1/8 x))
✓	56.72%	(*.f64 x (neg.f64 y))
▶	96.27%	(*.f64 1/2 x)
▶	41.06%	(log1p.f64 (exp.f64 x))
▶	42.78%	(log.f64 2)

Compiler

Compiled 493 to 386 computations (21.7% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(*.f64 (-.f64 1/2 y) x)
✓	0.04%	(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2)))
✓	0.87%	(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2))) 1)

Compiler

Compiled 43 to 34 computations (20.9% saved)

series1.0ms (0%)

Counts

2 → 39

Calls

12 calls:

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

rewrite104.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 178

Calls

Call 1

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

Outputs

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

simplify157.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

217 → 274

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 1/2 (+.f64 y (*.f64 x -1/8)))
✓	0.01%	(.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (*.f64 x -1/8)))
✓	0.22%	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
✓	31.36%	(/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))))

Compiler

Compiled 90 to 62 computations (31.1% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite126.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	142
1	334	72
2	5012	72

Stop Event

1×	node limit

Counts

4 → 216

Calls

Call 1

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

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

simplify145.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-r`
1290×	`associate-l`
1104×	`*-commutative`
964×	`associate-/r*`
882×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	884	18320
1	2897	18194

Stop Event

1×	node limit

Counts

312 → 453

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 -1/8 x) 1/2) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (/.f64 x (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) y)))
(+.f64 (.f64 -1/8 (/.f64 x (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) x) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (*.f64 1/64 (pow.f64 x 2))) 2)))) y))))
(+.f64 (.f64 -1/8 (/.f64 x (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) x) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) x) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) x) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) y)))))
(/.f64 -1 y)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 1/4 (/.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 y 2))) (.f64 1/64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x)) x) (pow.f64 y 3))) (.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 y 2))) (+.f64 (.f64 1/64 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x)))) (.f64 -1/4 (.f64 (-.f64 (.f64 1/64 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x)) x)) 1/4)) x))) (pow.f64 y 4))))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x)) x) (pow.f64 y 3))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 -1 y)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 1/4 (/.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 y 2))) (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x)) x) (pow.f64 y 3))))) (+.f64 (/.f64 1 y) (.f64 1/4 (/.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 y 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x)) x) (pow.f64 y 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x)) x))) x)) (.f64 -1 (.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x))))) (pow.f64 y 4)))))) (+.f64 (/.f64 1 y) (.f64 1/4 (/.f64 x (pow.f64 y 2)))))
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (pow.f64 y 2)))
(+.f64 (/.f64 y (-.f64 1/4 (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 1/2 y) y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 1/8 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))))) x)) (.f64 1/2 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/64 (/.f64 (+.f64 1/2 y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 1/2 y) y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 1/8 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))))) y) (-.f64 1/4 (pow.f64 y 2))))) (pow.f64 x 2))) (+.f64 (/.f64 y (-.f64 1/4 (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 1/2 y) y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 1/8 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))))) x)) (.f64 1/2 (/.f64 1 (-.f64 1/4 (pow.f64 y 2)))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/64 (/.f64 (+.f64 1/2 y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 1/2 y) y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 1/8 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))))) y) (-.f64 1/4 (pow.f64 y 2))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 -1/64 (/.f64 (+.f64 1/2 y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 -1/4 (/.f64 (.f64 y (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 1/2 y) y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 1/8 (/.f64 1 (-.f64 1/4 (pow.f64 y 2)))))) (-.f64 1/4 (pow.f64 y 2))))) y) (-.f64 1/4 (pow.f64 y 2)))) (.f64 1/64 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 1/2 y) y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 1/8 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))))) (-.f64 1/4 (pow.f64 y 2))))) (pow.f64 x 3))) (+.f64 (/.f64 y (-.f64 1/4 (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 1/2 y) y) (pow.f64 (-.f64 1/4 (pow.f64 y 2)) 2))) (.f64 1/8 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))))) x)) (.f64 1/2 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))))))))
(/.f64 8 x)
(-.f64 (+.f64 (.f64 -64 (/.f64 (+.f64 1/2 y) (pow.f64 x 2))) (.f64 8 (/.f64 1 x))) (*.f64 -128 (/.f64 y (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -64 (/.f64 (+.f64 1/2 y) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -16 (.f64 y (-.f64 (.f64 -64 (+.f64 1/2 y)) (.f64 -128 y)))) (.f64 -512 (-.f64 1/4 (pow.f64 y 2)))) (pow.f64 x 3))) (.f64 8 (/.f64 1 x)))) (*.f64 -128 (/.f64 y (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -64 (/.f64 (+.f64 1/2 y) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 16 (.f64 y (+.f64 (.f64 -16 (.f64 y (-.f64 (.f64 -64 (+.f64 1/2 y)) (.f64 -128 y)))) (.f64 -512 (-.f64 1/4 (pow.f64 y 2)))))) (.f64 -64 (.f64 (-.f64 1/4 (pow.f64 y 2)) (-.f64 (.f64 -64 (+.f64 1/2 y)) (.f64 -128 y))))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -16 (.f64 y (-.f64 (.f64 -64 (+.f64 1/2 y)) (.f64 -128 y)))) (.f64 -512 (-.f64 1/4 (pow.f64 y 2)))) (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))) (*.f64 -128 (/.f64 y (pow.f64 x 2))))
(/.f64 8 x)
(-.f64 (+.f64 (.f64 -64 (/.f64 (+.f64 1/2 y) (pow.f64 x 2))) (.f64 8 (/.f64 1 x))) (*.f64 -128 (/.f64 y (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -64 (/.f64 (+.f64 1/2 y) (pow.f64 x 2))) (+.f64 (.f64 16 (/.f64 (.f64 y (-.f64 (.f64 -64 (+.f64 1/2 y)) (.f64 -128 y))) (pow.f64 x 3))) (+.f64 (.f64 512 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (pow.f64 x 3))) (.f64 8 (/.f64 1 x))))) (.f64 -128 (/.f64 y (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -64 (/.f64 (+.f64 1/2 y) (pow.f64 x 2))) (+.f64 (.f64 512 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (pow.f64 x 3))) (+.f64 (.f64 16 (/.f64 (.f64 y (-.f64 (.f64 -64 (+.f64 1/2 y)) (.f64 -128 y))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -16 (.f64 y (+.f64 (.f64 16 (.f64 y (-.f64 (.f64 -64 (+.f64 1/2 y)) (.f64 -128 y)))) (.f64 512 (-.f64 1/4 (pow.f64 y 2)))))) (.f64 -64 (.f64 (-.f64 1/4 (pow.f64 y 2)) (-.f64 (.f64 -64 (+.f64 1/2 y)) (.f64 -128 y))))) (pow.f64 x 4))) (.f64 8 (/.f64 1 x)))))) (.f64 -128 (/.f64 y (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 y (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (pow.f64 (+.f64 1/2 y) 2)))) (pow.f64 x 2)) (/.f64 (.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 y (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (pow.f64 (+.f64 1/2 y) 2)))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/64 (/.f64 1 (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 (.f64 1/4 (/.f64 y (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (pow.f64 (+.f64 1/2 y) 2)))) (+.f64 1/2 y)))) (pow.f64 x 3))) (/.f64 (.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (+.f64 (.f64 1/64 (/.f64 1 (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 (.f64 1/4 (/.f64 y (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (pow.f64 (+.f64 1/2 y) 2)))) (+.f64 1/2 y)))) (pow.f64 x 4)) (+.f64 1/2 y))) (+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 y (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (pow.f64 (+.f64 1/2 y) 2)))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/64 (/.f64 1 (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 (.f64 1/4 (/.f64 y (+.f64 1/2 y))) (.f64 -1/8 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (pow.f64 (+.f64 1/2 y) 2)))) (+.f64 1/2 y)))) (pow.f64 x 3))) (/.f64 (.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (-.f64 (.f64 -2 y) (.f64 -1 (+.f64 1/2 y))) x))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (.f64 -2 y) (.f64 -1 (+.f64 1/2 y))) x) (.f64 -8 (-.f64 1/4 (pow.f64 y 2))))) (.f64 -8 (.f64 (+.f64 1/2 y) (-.f64 (.f64 -2 y) (*.f64 -1 (+.f64 1/2 y))))))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 8 (/.f64 (.f64 (+.f64 1/2 y) (-.f64 (.f64 -8 (-.f64 1/4 (pow.f64 y 2))) (.f64 -8 (.f64 (+.f64 1/2 y) (-.f64 (.f64 -2 y) (.f64 -1 (+.f64 1/2 y))))))) x)) (+.f64 (.f64 (-.f64 (.f64 -2 y) (.f64 -1 (+.f64 1/2 y))) x) (.f64 -8 (-.f64 1/4 (pow.f64 y 2)))))) (.f64 -8 (.f64 (+.f64 1/2 y) (-.f64 (.f64 -2 y) (.f64 -1 (+.f64 1/2 y))))))
(*.f64 1/8 (pow.f64 x 2))
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(/.f64 (+.f64 -1/4 (pow.f64 (fma.f64 x -1/8 y) 2)) (neg.f64 (-.f64 1/2 (fma.f64 x -1/8 y))))
(/.f64 (+.f64 -1/4 (pow.f64 (fma.f64 x -1/8 y) 2)) (*.f64 1 (neg.f64 (-.f64 1/2 (fma.f64 x -1/8 y)))))
(/.f64 (sqrt.f64 (-.f64 1/16 (pow.f64 (fma.f64 x -1/8 y) 4))) (*.f64 (/.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (sqrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)))) (sqrt.f64 (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)))))
(/.f64 (sqrt.f64 (-.f64 1/64 (pow.f64 (fma.f64 x -1/8 y) 6))) (.f64 (/.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (sqrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (+.f64 (.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)) 1/16)))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/8 y) 3))) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 x -1/8 y) (-.f64 (fma.f64 x -1/8 y) 1/2)))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/8 y) 3))) (.f64 1 (neg.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/8 y) (-.f64 (fma.f64 x -1/8 y) 1/2))))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 (fma.f64 x -1/8 y) 4))) (*.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (neg.f64 (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 (fma.f64 x -1/8 y) 4))) (*.f64 (neg.f64 (-.f64 1/2 (fma.f64 x -1/8 y))) (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 (fma.f64 x -1/8 y) 6))) (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (+.f64 (.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)) 1/16)))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 (fma.f64 x -1/8 y) 6))) (.f64 (neg.f64 (-.f64 1/2 (fma.f64 x -1/8 y))) (+.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (+.f64 (.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)) 1/16))))
(/.f64 (-.f64 1/16 (.f64 (neg.f64 (pow.f64 (fma.f64 x -1/8 y) 2)) (neg.f64 (pow.f64 (fma.f64 x -1/8 y) 2)))) (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x -1/8 y) 2) 1/4) (-.f64 (fma.f64 x -1/8 y) 1/2))
(/.f64 (-.f64 (pow.f64 (fma.f64 x -1/8 y) 2) 1/4) (*.f64 1 (-.f64 (fma.f64 x -1/8 y) 1/2)))
(/.f64 (-.f64 (.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (.f64 (.f64 x x) 1/64)) (+.f64 1/2 (-.f64 y (.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (.f64 (.f64 x x) 1/64)) (.f64 1 (+.f64 1/2 (-.f64 y (*.f64 x -1/8)))))
(/.f64 (-.f64 1/256 (.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (pow.f64 (fma.f64 x -1/8 y) 4))) (.f64 (*.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2))) (+.f64 (pow.f64 (fma.f64 x -1/8 y) 4) 1/16)))
(/.f64 (-.f64 1/4096 (.f64 (pow.f64 (fma.f64 x -1/8 y) 6) (pow.f64 (fma.f64 x -1/8 y) 6))) (.f64 (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (+.f64 (.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)) 1/16))) (+.f64 1/64 (pow.f64 (fma.f64 x -1/8 y) 6))))
(/.f64 (+.f64 1/64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 x -1/8 y) 2)) 3)) (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 1/16 (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 x -1/8 y) 2)) (neg.f64 (pow.f64 (fma.f64 x -1/8 y) 2))) (*.f64 1/4 (neg.f64 (pow.f64 (fma.f64 x -1/8 y) 2)))))))
(/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 3) 3)) (.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/8 y) (-.f64 (fma.f64 x -1/8 y) 1/2))) (+.f64 1/64 (-.f64 (pow.f64 (fma.f64 x -1/8 y) 6) (*.f64 1/8 (pow.f64 (fma.f64 x -1/8 y) 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 y) 3)) (+.f64 (.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 y) (.f64 x -1/8)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 y) 3)) (.f64 1 (+.f64 (.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 y) (*.f64 x -1/8))))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 4) 3)) (.f64 (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2))) (+.f64 1/256 (+.f64 (.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (pow.f64 (fma.f64 x -1/8 y) 4)) (.f64 1/16 (pow.f64 (fma.f64 x -1/8 y) 4))))))
(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 6) 3)) (.f64 (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (+.f64 (.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)) 1/16))) (+.f64 1/4096 (+.f64 (.f64 (pow.f64 (fma.f64 x -1/8 y) 6) (pow.f64 (fma.f64 x -1/8 y) 6)) (*.f64 1/64 (pow.f64 (fma.f64 x -1/8 y) 6))))))
(pow.f64 (+.f64 1/2 (fma.f64 x -1/8 y)) 1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x -1/8 y))) 2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x -1/8 y))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 y)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x -1/8 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x -1/8 y)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 y)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x -1/8 y))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x -1/8 y))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x -1/8 y))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x -1/8 y))))
(fma.f64 1 (fma.f64 x -1/8 y) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 x -1/8 y)) (sqrt.f64 (fma.f64 x -1/8 y)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/8 y)) 2) (cbrt.f64 (fma.f64 x -1/8 y)) 1/2)

Outputs
(/.f64 (+.f64 (.f64 -1/8 x) 1/2) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))
(/.f64 (fma.f64 -1/8 x 1/2) (+.f64 1/4 (.f64 -1/64 (.f64 x x))))
(/.f64 (fma.f64 -1/8 x 1/2) (+.f64 1/4 (.f64 (.f64 x x) -1/64)))
(+.f64 (.f64 -1/8 (/.f64 x (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) y)))
(fma.f64 -1/8 (/.f64 x (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (+.f64 (/.f64 1/2 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 1/4 (/.f64 (.f64 x (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (*.f64 x x))) 2)))) y)))
(fma.f64 -1/8 (/.f64 x (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (+.f64 (/.f64 1/2 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 (.f64 (.f64 x 1/4) (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 (*.f64 x x) -1/64)) 2))) y)))
(+.f64 (.f64 -1/8 (/.f64 x (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) x) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (*.f64 1/64 (pow.f64 x 2))) 2)))) y))))
(fma.f64 -1/8 (/.f64 x (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (fma.f64 -1 (.f64 (.f64 y y) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 1/4 (/.f64 (.f64 x (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) 2)))) (/.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) x)) (/.f64 (neg.f64 (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) 2)))) (+.f64 (/.f64 1/2 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 1/4 (/.f64 (.f64 x (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (*.f64 x x))) 2)))) y))))
(fma.f64 -1/8 (/.f64 x (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (fma.f64 -1 (.f64 y (.f64 y (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 (.f64 (.f64 x 1/4) (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))) (/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) x)) (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))))) (+.f64 (/.f64 1/2 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 (.f64 (.f64 x 1/4) (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))) y))))
(+.f64 (.f64 -1/8 (/.f64 x (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) x) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) x) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) x) (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))))) (.f64 (-.f64 (/.f64 1 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1/8 x) 1/2) x) (pow.f64 (-.f64 1/4 (.f64 1/64 (pow.f64 x 2))) 2)))) y)))))
(fma.f64 -1/8 (/.f64 x (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (fma.f64 -1 (.f64 (pow.f64 y 3) (fma.f64 -1/4 (/.f64 (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 1/4 (/.f64 (.f64 x (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) 2)))) (/.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) x)) (/.f64 (neg.f64 (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) 2))) (/.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) x)) (neg.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 1/4 (/.f64 (.f64 x (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) 2)))) (+.f64 1/4 (.f64 -1/64 (.f64 x x))))))) (fma.f64 -1 (.f64 (.f64 y y) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 1/4 (/.f64 (.f64 x (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) 2)))) (/.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) x)) (/.f64 (neg.f64 (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) 2)))) (+.f64 (/.f64 1/2 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 -1/64 (.f64 x x)))) (.f64 1/4 (/.f64 (.f64 x (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 -1/64 (.f64 x x))) 2)))) y)))))
(fma.f64 -1/8 (/.f64 x (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (fma.f64 -1 (.f64 (pow.f64 y 3) (fma.f64 -1/4 (/.f64 x (/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 (.f64 (.f64 x 1/4) (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))) (/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) x)) (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))))) (neg.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 (.f64 (.f64 x 1/4) (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))) (+.f64 1/4 (.f64 (.f64 x x) -1/64)))))) (fma.f64 -1 (.f64 y (.f64 y (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 (.f64 (.f64 x 1/4) (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))) (/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) x)) (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))))) (+.f64 (/.f64 1/2 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (.f64 (-.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 x x) -1/64))) (/.f64 (.f64 (.f64 x 1/4) (fma.f64 -1/8 x 1/2)) (pow.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/64)) 2))) y)))))
(/.f64 -1 y)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 1/4 (/.f64 x (pow.f64 y 2)))))
(-.f64 (/.f64 (neg.f64 (fma.f64 -1/8 x 1/2)) (.f64 y y)) (+.f64 (/.f64 1 y) (.f64 1/4 (/.f64 x (*.f64 y y)))))
(-.f64 (/.f64 (+.f64 -1/2 (.f64 x 1/8)) (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 (.f64 x 1/4) (.f64 y y))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (pow.f64 y 2))) (.f64 1/64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/4 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 (.f64 -1/8 x) 1/2)) (.f64 1/4 x)) x) (pow.f64 y 3))) (.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
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(/.f64 (/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 3) 3)) (+.f64 1/4 (.f64 (fma.f64 x -1/8 y) (+.f64 (fma.f64 x -1/8 y) -1/2)))) (+.f64 (pow.f64 (fma.f64 x -1/8 y) 6) (+.f64 (.f64 -1/8 (pow.f64 (fma.f64 x -1/8 y) 3)) 1/64)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 y) 3)) (+.f64 (.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 y) (.f64 x -1/8)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 y) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 1/2 y) 2) (.f64 x (.f64 x 1/64))) (.f64 (+.f64 1/2 y) (.f64 -1/8 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 y) 3)) (+.f64 (+.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 y) 2)) (.f64 (+.f64 1/2 y) (.f64 x 1/8))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/512) (pow.f64 (+.f64 1/2 y) 3)) (.f64 1 (+.f64 (.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (-.f64 (.f64 (.f64 x x) 1/64) (.f64 (+.f64 1/2 y) (*.f64 x -1/8))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 y) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 1/2 y) 2) (.f64 x (.f64 x 1/64))) (.f64 (+.f64 1/2 y) (.f64 -1/8 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/512 (pow.f64 (+.f64 1/2 y) 3)) (+.f64 (+.f64 (.f64 x (.f64 x 1/64)) (pow.f64 (+.f64 1/2 y) 2)) (.f64 (+.f64 1/2 y) (.f64 x 1/8))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 4) 3)) (.f64 (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2))) (+.f64 1/256 (+.f64 (.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (pow.f64 (fma.f64 x -1/8 y) 4)) (.f64 1/16 (pow.f64 (fma.f64 x -1/8 y) 4))))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 4) 3)) (.f64 (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2))) (+.f64 1/256 (+.f64 (pow.f64 (fma.f64 x -1/8 y) 8) (*.f64 1/16 (pow.f64 (fma.f64 x -1/8 y) 4))))))
(/.f64 (/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 4) 3)) (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)))) (+.f64 (pow.f64 (fma.f64 x -1/8 y) 8) (+.f64 (.f64 1/16 (pow.f64 (fma.f64 x -1/8 y) 4)) 1/256)))
(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 6) 3)) (.f64 (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (+.f64 (.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2)) 1/16))) (+.f64 1/4096 (+.f64 (.f64 (pow.f64 (fma.f64 x -1/8 y) 6) (pow.f64 (fma.f64 x -1/8 y) 6)) (*.f64 1/64 (pow.f64 (fma.f64 x -1/8 y) 6))))))
(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 (fma.f64 x -1/8 y) 6) 3)) (.f64 (.f64 (-.f64 1/2 (fma.f64 x -1/8 y)) (+.f64 (pow.f64 (fma.f64 x -1/8 y) 4) (fma.f64 1/4 (pow.f64 (fma.f64 x -1/8 y) 2) 1/16))) (+.f64 1/4096 (+.f64 (pow.f64 (fma.f64 x -1/8 y) 12) (*.f64 1/64 (pow.f64 (fma.f64 x -1/8 y) 6))))))
(pow.f64 (+.f64 1/2 (fma.f64 x -1/8 y)) 1)
(fma.f64 -1/8 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 x -1/8 y))) 2)
(fma.f64 -1/8 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x -1/8 y))) 3)
(fma.f64 -1/8 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 y)) 3) 1/3)
(fma.f64 -1/8 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 y)) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/8 x (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 x -1/8 y))))
(fma.f64 -1/8 x (+.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 x -1/8 y)))))
(fma.f64 -1/8 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/8 y)) 3))
(fma.f64 -1/8 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (+.f64 1/2 (fma.f64 x -1/8 y))))
(fma.f64 -1/8 x (+.f64 1/2 y))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 x -1/8 y))))
(fma.f64 -1/8 x (+.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 x -1/8 y))) 1))
(fma.f64 -1/8 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 x -1/8 y))))
(fma.f64 -1/8 x (+.f64 1/2 y))
(fma.f64 1 (fma.f64 x -1/8 y) 1/2)
(fma.f64 -1/8 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (fma.f64 x -1/8 y)) (sqrt.f64 (fma.f64 x -1/8 y)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/8 y)) 2) (cbrt.f64 (fma.f64 x -1/8 y)) 1/2)

localize5.0ms (0%)

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.38%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

eval556.0ms (5.3%)

Compiler: Compiled 29046 to 22057 computations (24.1% saved)

prune172.0ms (1.6%)

Pruning

26 alts after pruning (19 fresh and 7 done)

	Pruned	Kept	Total
New	815	11	826
Fresh	2	8	10
Picked	0	1	1
Done	2	6	8
Total	819	26	845

Error

0.32%

Counts

845 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	86.44%	(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
	87.87%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	97.36%	(/.f64 x (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
	94.19%	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x 1/64))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x 1/64))) (-.f64 y (.f64 -1/8 x)))))))
	93.34%	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
	96.92%	(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
	87.83%	(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
	98.62%	(/.f64 x (/.f64 (.f64 -1/8 x) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
	94.01%	(/.f64 x (/.f64 y (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
	96.74%	(/.f64 x (/.f64 8 x))
	56.94%	(/.f64 x (/.f64 -1 y))
	42.54%	(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
	97.72%	(-.f64 (+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 (-.f64 1/2 y) x)))))) 1)
	97.72%	(-.f64 (+.f64 (log.f64 2) (exp.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 (-.f64 1/2 y)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))))) 1)
	43.59%	(-.f64 (+.f64 (log.f64 2) 1) 1)
✓	8.79%	(-.f64 (log.f64 2) (*.f64 x y))
	80.44%	(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8)))
	41.98%	(+.f64 (.f64 1/2 x) (fma.f64 (.f64 x x) 1/8 (log.f64 2)))
✓	41.71%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	57.21%	(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
	96.94%	(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
✓	96.74%	(.f64 x (.f64 1/8 x))
✓	56.72%	(*.f64 x (neg.f64 y))
✓	96.27%	(*.f64 1/2 x)
✓	41.06%	(log1p.f64 (exp.f64 x))
✓	42.78%	(log.f64 2)

Compiler

Compiled 381 to 284 computations (25.5% saved)

regimes60.0ms (0.6%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
18.0ms	x
10.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.4%	1	`x`
0.4%	1	`y`
0.4%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 521 to 356 computations (31.7% saved)

regimes48.0ms (0.5%)

Counts

29 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(.f64 x (.f64 1/8 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 8 x))
(.f64 (+.f64 1/2 (.f64 1/8 x)) x)
(.f64 x (+.f64 (-.f64 1/2 y) (.f64 1/8 x)))
(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 y y))))
(/.f64 x (/.f64 y (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 x (*.f64 x 1/64)))))
(/.f64 x (/.f64 (.f64 -1/8 x) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 x (/.f64 (+.f64 (.f64 -1/8 x) 1/2) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8))))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (+.f64 y (.f64 x -1/8)) (+.f64 y (.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (.f64 x -1/8))) (-.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x 1/64))) (-.f64 y (.f64 -1/8 x))) (/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x 1/64))) (-.f64 y (.f64 -1/8 x)))))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) 1) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (+.f64 1 (*.f64 1/2 x))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 x))

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

Calls

2 calls:

27.0ms	x
13.0ms	y

Results

Error	Segments	Branch
1.31%	2	`x`
8.79%	1	`y`

Compiler

Compiled 360 to 247 computations (31.4% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-478057.5534205025	-375931.7827130713

Results

5.0ms	10×	body	1024	valid
4.0ms	27×	body	256	valid
3.0ms	11×	body	512	valid

Compiler

Compiled 70 to 54 computations (22.9% saved)

regimes41.0ms (0.4%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
12.0ms	y

Results

Error	Segments	Branch
2.14%	2	`x`
8.79%	1	`y`

Compiler

Compiled 317 to 211 computations (33.4% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-478057.5534205025	-375931.7827130713

Results

7.0ms	15×	body	1024	valid
3.0ms	23×	body	256	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 64 to 48 computations (25% saved)

regimes134.0ms (1.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

91.0ms	y
36.0ms	x

Results

Error	Segments	Branch
15.43%	2	`x`
25.74%	9	`y`

Compiler

Compiled 305 to 201 computations (34.1% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-8.199661747204082e-20	-2.2792940360931833e-22

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 144 to 116 computations (19.4% saved)

regimes123.0ms (1.2%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

88.0ms	y
29.0ms	x

Results

Error	Segments	Branch
15.89%	2	`x`
26.49%	9	`y`

Compiler

Compiled 299 to 196 computations (34.4% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-8.199661747204082e-20	-2.2792940360931833e-22

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 112 to 92 computations (17.9% saved)

regimes26.0ms (0.3%)

Accuracy

Total -27.2b remaining (-74.9%)

Threshold costs -27.2b (-74.9%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	y
9.0ms	x

Results

Error	Segments	Branch
56.72%	1	`x`
56.72%	1	`y`

Compiler

Compiled 297 to 194 computations (34.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	181
1	51	181
2	63	181
3	68	181
4	70	181

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -380000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -380000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6729216728661137/83076749736557242056487941267521536) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -1536919870126309/83076749736557242056487941267521536) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -380000) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -380000) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -380000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6729216728661137/83076749736557242056487941267521536) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -6729216728661137/83076749736557242056487941267521536) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -1536919870126309/83076749736557242056487941267521536) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 82 to 59 computations (28% saved)

soundness197.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end48.0ms (0.5%)

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

Details

analyze140.0ms (1.3%)

sample3.9s (37.6%)

preprocess89.0ms (0.9%)

simplify83.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series49.0ms (0.5%)

rewrite72.0ms (0.7%)

simplify84.0ms (0.8%)

eval16.0ms (0.2%)

prune15.0ms (0.1%)

localize9.0ms (0.1%)

series4.0ms (0%)

rewrite61.0ms (0.6%)

simplify67.0ms (0.6%)

localize4.0ms (0%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite101.0ms (1%)

simplify104.0ms (1%)

localize55.0ms (0.5%)

series2.0ms (0%)

rewrite97.0ms (0.9%)

simplify127.0ms (1.2%)

localize30.0ms (0.3%)

series12.0ms (0.1%)

rewrite151.0ms (1.4%)

simplify227.0ms (2.2%)

eval775.0ms (7.4%)

prune301.0ms (2.9%)

localize33.0ms (0.3%)

series45.0ms (0.4%)

rewrite119.0ms (1.1%)

simplify178.0ms (1.7%)

localize5.0ms (0%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite70.0ms (0.7%)

simplify72.0ms (0.7%)

localize17.0ms (0.2%)

series0.0ms (0%)

rewrite59.0ms (0.6%)

simplify55.0ms (0.5%)

localize26.0ms (0.2%)

series0.0ms (0%)

rewrite93.0ms (0.9%)

simplify113.0ms (1.1%)

eval601.0ms (5.7%)

prune235.0ms (2.2%)

localize21.0ms (0.2%)

series1.0ms (0%)

rewrite104.0ms (1%)

simplify157.0ms (1.5%)

localize3.0ms (0%)

localize42.0ms (0.4%)

series11.0ms (0.1%)

rewrite126.0ms (1.2%)

simplify145.0ms (1.4%)

localize5.0ms (0%)

localize4.0ms (0%)

eval556.0ms (5.3%)

prune172.0ms (1.6%)

regimes60.0ms (0.6%)

regimes48.0ms (0.5%)

bsearch13.0ms (0.1%)

regimes41.0ms (0.4%)

bsearch14.0ms (0.1%)

regimes134.0ms (1.3%)

bsearch16.0ms (0.2%)

regimes123.0ms (1.2%)

bsearch16.0ms (0.2%)

regimes26.0ms (0.3%)

simplify8.0ms (0.1%)

soundness197.0ms (1.9%)

end48.0ms (0.5%)

Profiling