Details

analyze175.0ms (1.7%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.0s (38.4%)

Results

2.5s	2483×	body	8192	exit
1.2s	7794×	body	256	valid
154.0ms	245×	body	512	valid
130.0ms	214×	body	1024	valid
18.0ms	143×	body	256	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess86.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

98.8%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.8%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 20 to 14 computations (30% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	98.9%	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 28 to 14 computations (50% saved)

series43.0ms (0.4%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
17.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
2.0ms	y	@	0	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite100.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`*-commutative`
734×	`distribute-lft-in`
722×	`distribute-rgt-in`
686×	`associate-*r/`
540×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	226	41
2	2914	41

Stop Event

1×	node limit

Counts

3 → 242

Calls

Call 1

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

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

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

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1164×	`fma-def`
614×	`associate-r`
602×	`associate-+l+`
562×	`associate-l`
540×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	610	13194
1	1672	12062

Stop Event

1×	node limit

Counts

274 → 364

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

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

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.9%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite63.0ms (0.6%)

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)))))))

simplify82.0ms (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))

eval121.0ms (1.2%)

Compiler: Compiled 9828 to 3837 computations (61% saved)

prune69.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	436	8	444
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	438	8	446

Accurracy

99.4%

Counts

446 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.3%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	82.3%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
▶	97.9%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
	89.4%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	41.6%	(*.f64 x (neg.f64 y))
▶	58.6%	(log1p.f64 (exp.f64 x))
	58.6%	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 142 to 110 computations (22.5% saved)

localize20.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.6%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	98.1%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 46 to 28 computations (39.1% saved)

series46.0ms (0.4%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
13.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.0ms	x	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`distribute-lft-in`
926×	`associate-*r/`
802×	`associate-*l/`
404×	`associate-+l+`
298×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	291	51
2	3721	51

Stop Event

1×	node limit

Counts

3 → 276

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-def`
750×	`associate-+l+`
748×	`associate-+r+`
716×	`associate-r`
676×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	18254
1	1881	14534

Stop Event

1×	node limit

Counts

308 → 394

Calls

Call 1

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

Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(fma.f64 1/2 (/.f64 x 2) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (*.f64 x x)))))
(fma.f64 1/2 (+.f64 (/.f64 x 2) (.f64 x (.f64 x 1/8))) (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2))))))
(fma.f64 1/6 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (fma.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3)) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x))))))
(fma.f64 1/6 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (pow.f64 x 3)) (fma.f64 1/2 (+.f64 (/.f64 x 2) (.f64 x (*.f64 x 1/8))) (log.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
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(/.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 x (.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.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)
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 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)))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 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))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (.f64 0 (.f64 x y))))
(fma.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2 (.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 2 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (.f64 0 (.f64 x y))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.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))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (.f64 0 (.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)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

localize4.0ms (0%)

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

localize14.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

148 → 201

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	98.9%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

eval313.0ms (3%)

Compiler: Compiled 20120 to 11283 computations (43.9% saved)

prune161.0ms (1.5%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	792	10	802
Fresh	1	2	3
Picked	0	1	1
Done	1	3	4
Total	794	16	810

Accurracy

99.4%

Counts

810 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.3%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	66.3%	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
	70.8%	(/.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)))))
	82.3%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
▶	88.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
▶	89.4%	(-.f64 (log.f64 2) (*.f64 x y))
	62.6%	(+.f64 (/.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))) (log.f64 2))
▶	63.6%	(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
	63.4%	(+.f64 (/.f64 x (/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (log.f64 2))
✓	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	58.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	24.9%	(*.f64 (-.f64 1/2 y) x)
✓	41.6%	(*.f64 x (neg.f64 y))
✓	58.6%	(log1p.f64 (exp.f64 x))
	58.6%	(log.f64 (+.f64 (exp.f64 x) 1))
	58.6%	(log.f64 2)

Compiler

Compiled 408 to 329 computations (19.4% saved)

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

simplify64.0ms (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))

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize11.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.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))

rewrite68.0ms (0.7%)

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))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 1/4 (*.f64 y y))
✓	100.0%	(/.f64 (+.f64 1/2 y) x)
✓	100.0%	(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
✓	77.6%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 50 to 30 computations (40% saved)

series6.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

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

rewrite139.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	343	58
2	4954	58

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (neg.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (.f64 1 (neg.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2)))) (.f64 1/4 (/.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 y 1/2)) 1/4) (.f64 (/.f64 x (+.f64 y 1/2)) (neg.f64 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 y 1/2)) 1/4) (.f64 (/.f64 x (+.f64 y 1/2)) (.f64 (neg.f64 (.f64 y y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x (+.f64 y 1/2)) (neg.f64 (.f64 y y))) (.f64 (/.f64 x (+.f64 y 1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/4 (.f64 y y)) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/2 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (/.f64 (+.f64 y 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) 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(pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (/.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (sqrt.f64 (/.f64 (+.f64 y 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)) (cbrt.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (-.f64 1/2 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (-.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2))) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (.f64 1/4 (/.f64 x (+.f64 y 1/2)))) (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)))) (#(struct:change 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(-.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 2 (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 exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 x) y) (.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 x) 1/2) (.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y 1/2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 y 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 y 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (sqrt.f64 (+.f64 y 1/2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)) (sqrt.f64 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (.f64 (cbrt.f64 (+.f64 y 1/2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2) (cbrt.f64 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (+.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1/2 y) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 y 1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 y 1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 y 1/2)) 1) (/.f64 (sqrt.f64 (+.f64 y 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 y 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 y 1/2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 y 1/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 y 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y 1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y 1/2) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/4 (neg.f64 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/4 (.f64 (neg.f64 (.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/4 (.f64 1 (.f64 (neg.f64 (.f64 y y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 y y)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (.f64 y y)) 1) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/4 (exp.f64 (log1p.f64 (.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/4 (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1/4 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (sqrt.f64 (-.f64 1/4 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (cbrt.f64 (-.f64 1/4 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 1 (+.f64 1/4 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (.f64 y y)) (-.f64 1/16 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))) (-.f64 1/64 (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 1 (/.f64 (+.f64 1/4 (.f64 y y)) (-.f64 1/16 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 1 (/.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))) (-.f64 1/64 (pow.f64 y 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/4 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (neg.f64 (+.f64 1/4 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (.f64 1 (neg.f64 (+.f64 1/4 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (neg.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (.f64 1 (neg.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (+.f64 1/4 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/256 (.f64 (pow.f64 y 4) (pow.f64 y 4))) (.f64 (+.f64 1/4 (.f64 y y)) (+.f64 1/16 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4096 (.f64 (pow.f64 y 6) (pow.f64 y 6))) (.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))) (+.f64 1/64 (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/64 (pow.f64 (neg.f64 (.f64 y y)) 3)) (+.f64 1/16 (-.f64 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y))) (.f64 1/4 (neg.f64 (.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/64 (pow.f64 (neg.f64 (.f64 y y)) 3)) (.f64 1 (+.f64 1/16 (-.f64 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y))) (.f64 1/4 (neg.f64 (.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (.f64 (+.f64 1/4 (.f64 y y)) (+.f64 1/256 (+.f64 (.f64 (pow.f64 y 4) (pow.f64 y 4)) (.f64 1/16 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (.f64 1/4 (.f64 y y)))) (+.f64 1/4096 (+.f64 (.f64 (pow.f64 y 6) (pow.f64 y 6)) (.f64 1/64 (pow.f64 y 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/4 (.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/4 (.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/4 (.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/4 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/4 (.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 5/4 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/4 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 1/4 (.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/4 (.f64 y y))))))))

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

826×	`associate-/r/`
656×	`+-commutative`
644×	`associate-r`
596×	`associate-+l+`
594×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	459	7217
1	1286	6291
2	5761	6291

Stop Event

1×	node limit

Counts

245 → 246

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(.f64 -1 (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(.f64 -1 (.f64 y x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(log.f64 2)
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x)
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(/.f64 1/2 x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
1/4
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (neg.f64 (.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2)))))
(+.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (.f64 1 (neg.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2))))))
(+.f64 (neg.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2)))) (*.f64 1/4 (/.f64 x (+.f64 y 1/2))))
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(pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2))
(log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))
(cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))
(expm1.f64 (log.f64 (-.f64 5/4 (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))
(exp.f64 (.f64 (log.f64 (-.f64 1/4 (.f64 y y))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 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 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 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 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 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 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 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 (log.f64 2) (.f64 -1 (.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) (log.f64 2))
(.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x)
(.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (.f64 y y) (+.f64 1/2 y))))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) (log.f64 2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) (log.f64 2))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)) (log.f64 2))
(/.f64 1/2 x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
1/4
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (neg.f64 (.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2)))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(+.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (.f64 1 (neg.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2))))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(+.f64 (neg.f64 (.f64 (.f64 y y) (/.f64 x (+.f64 y 1/2)))) (*.f64 1/4 (/.f64 x (+.f64 y 1/2))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 (/.f64 x (+.f64 y 1/2)) 1/4) (.f64 (/.f64 x (+.f64 y 1/2)) (neg.f64 (*.f64 y y))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(+.f64 (.f64 (/.f64 x (+.f64 y 1/2)) 1/4) (.f64 (/.f64 x (+.f64 y 1/2)) (.f64 (neg.f64 (.f64 y y)) 1)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(+.f64 (.f64 (/.f64 x (+.f64 y 1/2)) (neg.f64 (.f64 y y))) (*.f64 (/.f64 x (+.f64 y 1/2)) 1/4))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(-.f64 (.f64 1/4 (/.f64 x (+.f64 y 1/2))) (.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(.f64 (-.f64 1/4 (.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(.f64 1 (.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 x (+.f64 y 1/2))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) 2) (.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (/.f64 x (+.f64 y 1/2))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 x (-.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(.f64 (+.f64 -1/4 (.f64 y y)) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(.f64 (+.f64 (.f64 y y) -1/4) (*.f64 (/.f64 1 (-.f64 -1/2 y)) x))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(.f64 (.f64 (-.f64 1/2 y) 1) x)
(*.f64 x (-.f64 1/2 y))
(.f64 (.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (-.f64 1/2 y))
(.f64 (.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (-.f64 1/2 y))
(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (/.f64 (-.f64 1/4 (.f64 y y)) (sqrt.f64 (/.f64 (+.f64 y 1/2) x))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)) (/.f64 (-.f64 1/4 (.f64 y y)) (cbrt.f64 (/.f64 (+.f64 y 1/2) x))))
(.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (.f64 y y)))
(.f64 x (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)))
(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 -1/2 y)) (neg.f64 x))
(.f64 (+.f64 (.f64 y y) -1/4) (*.f64 (/.f64 1 (-.f64 -1/2 y)) x))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2)) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 x)))
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(cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))
(-.f64 1/4 (*.f64 y y))
(expm1.f64 (log.f64 (-.f64 5/4 (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(exp.f64 (.f64 (log.f64 (-.f64 1/4 (.f64 y y))) 1))
(-.f64 1/4 (*.f64 y y))
(log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))

localize14.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.4%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite138.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`*-commutative`
822×	`unswap-sqr`
638×	`swap-sqr`
588×	`distribute-lft-in`
578×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	232	26
2	2968	26

Stop Event

1×	node limit

Counts

2 → 201

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-*r/`
900×	`+-commutative`
788×	`fma-def`
666×	`associate-+l-`
518×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	9815
1	1363	8363
2	5518	8279

Stop Event

1×	node limit

Counts

225 → 274

Calls

Call 1

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

Outputs
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 (sqrt.f64 2)) 0)
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 0 (log.f64 (sqrt.f64 2)))
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 2 1/4))) (log.f64 (pow.f64 2 1/4)))
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 (.f64 1 (log.f64 (pow.f64 2 1/4))) (.f64 1 (log.f64 (pow.f64 2 1/4))))
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(+.f64 (.f64 1 (log.f64 (cbrt.f64 2))) (.f64 1 (log.f64 (cbrt.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 (.f64 (log.f64 (pow.f64 2 1/4)) 1) (.f64 (log.f64 (pow.f64 2 1/4)) 1))
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(+.f64 (.f64 (log.f64 (cbrt.f64 2)) 1) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) 1))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(log.f64 (sqrt.f64 2))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))) 1)
(log.f64 (sqrt.f64 2))
(*.f64 2 (log.f64 (pow.f64 2 1/4)))
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(log.f64 (sqrt.f64 2))
(*.f64 (log.f64 2) 1/2)
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 1 (log.f64 (sqrt.f64 2)))
(log.f64 (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(log.f64 (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(*.f64 1/2 (log.f64 2))
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2)))) (cbrt.f64 (log.f64 (sqrt.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2)))) (cbrt.f64 (log.f64 (sqrt.f64 2)))))
(log.f64 (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))))
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eval398.0ms (3.8%)

Compiler: Compiled 13715 to 8987 computations (34.5% saved)

prune197.0ms (1.9%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	674	8	682
Fresh	5	2	7
Picked	0	1	1
Done	2	6	8
Total	681	17	698

Accurracy

99.4%

Counts

698 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.8%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	11.0%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	24.8%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	88.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	89.4%	(-.f64 (log.f64 2) (*.f64 x y))
	53.3%	(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 (exp.f64 (/.f64 (+.f64 y 1/2) x)))) (log.f64 2))
▶	58.5%	(+.f64 (/.f64 1/4 (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
▶	89.4%	(+.f64 (+.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 x (neg.f64 y))) (*.f64 x y))
✓	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	24.9%	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
✓	58.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	24.9%	(*.f64 (-.f64 1/2 y) x)
✓	41.6%	(*.f64 x (neg.f64 y))
▶	3.4%	(*.f64 1/2 x)
✓	58.6%	(log1p.f64 (exp.f64 x))
	58.6%	(log.f64 (+.f64 (exp.f64 x) 1))
	58.6%	(log.f64 2)

Compiler

Compiled 271 to 203 computations (25.1% saved)

localize34.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 48 to 20 computations (58.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite140.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`associate-*r/`
1390×	`associate-*l/`
1108×	`*-commutative`
450×	`associate-+l+`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	294	40
2	4605	40

Stop Event

1×	node limit

Counts

2 → 282

Calls

Call 1

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

Outputs

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

simplify201.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-+l+`
964×	`associate-l`
928×	`associate-r`
884×	`+-commutative`
758×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	623	21880
1	1915	21346

Stop Event

1×	node limit

Counts

330 → 608

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

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

localize3.0ms (0%)

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

localize17.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`*-commutative`
710×	`unswap-sqr`
546×	`swap-sqr`
438×	`distribute-lft-in`
430×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	215	13
2	2847	13

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

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

Outputs

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

simplify131.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

902×	`distribute-lft-neg-in`
880×	`distribute-rgt-neg-in`
760×	`associate-r`
602×	`associate-l`
426×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	5993
1	1012	5561
2	5215	5463

Stop Event

1×	node limit

Counts

139 → 202

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(-.f64 1/4 (*.f64 y y))
	100.0%	(/.f64 (+.f64 1/2 y) x)
	77.6%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

localize22.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 1/4 (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
	100.0%	(/.f64 (+.f64 1/2 y) x)
✓	99.0%	(/.f64 1/4 (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 34 to 25 computations (26.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`associate-/r*`
972×	`associate-/l*`
850×	`associate-/r/`
748×	`distribute-lft-in`
432×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	289	44
2	3845	44

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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simplify175.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

674×	`+-commutative`
536×	`distribute-lft-neg-in`
488×	`associate-r`
484×	`associate-+r+`
470×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	7356
1	1175	7134
2	4795	6998

Stop Event

1×	node limit

Counts

172 → 245

Calls

Call 1

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

eval731.0ms (7%)

Compiler: Compiled 33474 to 20313 computations (39.3% saved)

prune420.0ms (4%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	1312	13	1325
Fresh	1	4	5
Picked	0	1	1
Done	4	7	11
Total	1317	25	1342

Accurracy

99.4%

Counts

1342 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.3%	(/.f64 (/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (+.f64 1/4 (.f64 y y))) (/.f64 (+.f64 1/2 y) x))
	11.5%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
	2.8%	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
	11.9%	(/.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 1/2 y) x))
	11.0%	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	24.8%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	3.0%	(/.f64 1/4 (/.f64 (+.f64 1/2 y) x))
	89.4%	(-.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) (log1p.f64 1)))
✓	89.4%	(-.f64 (log.f64 2) (*.f64 x y))
	58.5%	(+.f64 (/.f64 (/.f64 (*.f64 1/4 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2)) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
	58.5%	(+.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 3)) (log.f64 2))
✓	58.5%	(+.f64 (/.f64 1/4 (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
	57.8%	(+.f64 (/.f64 1/4 (log.f64 (exp.f64 (/.f64 (+.f64 y 1/2) x)))) (log.f64 2))
	29.8%	(+.f64 (/.f64 1/4 (exp.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)))) (log.f64 2))
✓	82.3%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	58.7%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	24.9%	(*.f64 (-.f64 1/2 y) x)
	11.7%	(.f64 (+.f64 (.f64 y y) -1/4) (*.f64 (/.f64 1 (-.f64 -1/2 y)) x))
	3.0%	(*.f64 (+.f64 y 1/2) x)
	11.7%	(.f64 (+.f64 -1/4 (.f64 y y)) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
✓	41.6%	(*.f64 x (neg.f64 y))
✓	3.4%	(*.f64 1/2 x)
✓	58.6%	(log1p.f64 (exp.f64 x))
	58.6%	(log.f64 (+.f64 (exp.f64 x) 1))
	58.6%	(log.f64 2)

Compiler

Compiled 279 to 210 computations (24.7% saved)

regimes118.0ms (1.1%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	y
21.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
20.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 479 to 317 computations (33.8% saved)

regimes35.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (+.f64 y 1/2) x)
(*.f64 (-.f64 1/2 y) x)
(/.f64 1/4 (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (.f64 x (neg.f64 y)) (.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(.f64 (+.f64 -1/4 (.f64 y y)) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(.f64 (+.f64 (.f64 y y) -1/4) (*.f64 (/.f64 1 (-.f64 -1/2 y)) x))
(/.f64 (/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (+.f64 1/4 (.f64 y y))) (/.f64 (+.f64 1/2 y) x))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (/.f64 1/4 (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
(-.f64 (.f64 x y) (-.f64 (.f64 x (+.f64 y y)) (log1p.f64 1)))
(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
(+.f64 (+.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 x (neg.f64 y))) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))

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

Calls

2 calls:

14.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`

Compiler

Compiled 256 to 148 computations (42.2% saved)

regimes53.0ms (0.5%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
99.3%	2	`x`
89.4%	1	`y`

Compiler

Compiled 242 to 142 computations (41.3% saved)

bsearch45.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	-50663.55653716366	-99.45540945184983

Results

37.0ms	107×	body	256	valid
4.0ms	15×	body	512	valid
3.0ms	6×	body	1024	valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes44.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
98.9%	2	`x`
89.4%	1	`y`

Compiler

Compiled 160 to 94 computations (41.3% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-50663.55653716366	-99.45540945184983

Results

13.0ms	103×	body	256	valid
7.0ms	12×	body	1024	valid
3.0ms	12×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 144 to 108 computations (25% saved)

regimes143.0ms (1.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

98.0ms	y
41.0ms	x

Results

Accuracy	Segments	Branch
86.9%	3	`x`
73.0%	5	`y`

Compiler

Compiled 154 to 90 computations (41.6% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	3.168411642520618e-55	4.533512349411949e-49
17.0ms	-3.726098899773374e-33	-3.370371411038867e-37

Results

53.0ms

272×

body

256

valid

Compiler

Compiled 229 to 191 computations (16.6% saved)

regimes52.0ms (0.5%)

Accuracy

Total -25.9b remaining (-69.5%)

Threshold costs -25.90b (-69.5%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
41.6%	1	`x`
41.6%	1	`y`

Compiler

Compiled 146 to 83 computations (43.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative`
16×	`*-commutative`
12×	`sub-neg`
8×	`cancel-sign-sub-inv`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	193
1	59	193
2	73	193
3	78	193
4	80	193

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -100) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -102) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5261405894391251/1461501637330902918203684832716283019655932542976) (.f64 x (neg.f64 y)) (if (<=.f64 x 2961908203178171/6582018229284824168619876730229402019930943462534319453394436096) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -100) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -100) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -102) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5261405894391251/1461501637330902918203684832716283019655932542976) (.f64 x (neg.f64 y)) (if (<=.f64 x 2961908203178171/6582018229284824168619876730229402019930943462534319453394436096) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -5261405894391251/1461501637330902918203684832716283019655932542976) (.f64 x (neg.f64 y)) (if (<=.f64 x 2961908203178171/6582018229284824168619876730229402019930943462534319453394436096) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 86 to 61 computations (29.1% saved)

soundness136.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1164×	`fma-def`
614×	`associate-r`
602×	`associate-+l+`
562×	`associate-l`
540×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	610	13194
1	1672	12062

Stop Event

1×	node limit

Compiler

Compiled 20 to 11 computations (45% saved)

end53.0ms (0.5%)

Compiler: Compiled 74 to 40 computations (45.9% saved)