Details

analyze179.0ms (2.1%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.4s (39.6%)

Results

2.2s	2485×	body	8192	exit
1.0s	7783×	body	256	valid
113.0ms	213×	body	1024	valid
73.0ms	259×	body	512	valid
18.0ms	131×	body	256	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess84.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

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

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	0.3b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 20 to 14 computations (30% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series46.0ms (0.5%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	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))

rewrite111.0ms (1.3%)

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)))))

simplify133.0ms (1.5%)

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	0.3b	(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	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	y	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

Outputs

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

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

simplify110.0ms (1.3%)

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))

eval215.0ms (2.5%)

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

prune117.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	437	7	444
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	439	7	446

Error

Counts

446 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	10.9b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	0.8b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
▶	5.8b	(-.f64 (log.f64 2) (*.f64 x y))
▶	10.9b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	33.6b	(*.f64 x (neg.f64 y))
▶	30.1b	(log1p.f64 (exp.f64 x))
	30.1b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 118 to 92 computations (22% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 x))
✓	0.0b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 46 to 28 computations (39.1% saved)

series54.0ms (0.6%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
11.0ms	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))

rewrite134.0ms (1.6%)

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	56
1	291	36
2	3721	36

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (+.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (+.f64 (*.f64 1/2 (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 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (+.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (-.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (-.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (-.f64 (*.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 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simplify174.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-+r-`
1344×	`fma-def`
742×	`associate-+l+`
730×	`associate-+r+`
670×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	599	17046
1	1681	13404
2	7882	13224

Stop Event

1×	node limit

Counts

266 → 340

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))))))
(*.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)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (.f64 -1 (.f64 y x)) (*.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 (.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)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 0)
(+.f64 0 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 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)))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 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))))
(+.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)))))))
(+.f64 (.f64 1/2 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 1/2 (.f64 1/2 (log1p.f64 (exp.f64 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))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))) 1)
(.f64 1 (.f64 1/2 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(*.f64 2 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 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)))
(.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y)))))
(+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 (.f64 x (neg.f64 y)) 1)))
(+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 x y)))
(+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (-.f64 (.f64 x y) (fma.f64 (neg.f64 y) x (.f64 x y)))))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 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)) (.f64 (.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (+.f64 (.f64 x (neg.f64 y)) (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 (.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (.f64 2 (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y)))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (.f64 x (neg.f64 y)) 1) (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y)))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (.f64 x (neg.f64 y)) 1) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1)))
(+.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)) (+.f64 (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (.f64 x (neg.f64 y)) 1) (fma.f64 (.f64 x (neg.f64 y)) 1 (.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)) (+.f64 (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 x) y (*.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)) (+.f64 (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) 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 (.f64 (.f64 x (neg.f64 y)) 1) (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 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 (log1p.f64 (exp.f64 x)) (+.f64 (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) 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 (.f64 (.f64 x (neg.f64 y)) 1) (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 1 (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 1 (.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)) (.f64 2 (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.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 x) y (.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 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (.f64 2 (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)) (+.f64 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1) (fma.f64 (neg.f64 y) x (.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 (neg.f64 y) 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 (neg.f64 y) 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 (neg.f64 y) x (*.f64 x y))))
(+.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))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y)))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 2 (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1) (.f64 2 (fma.f64 (neg.f64 y) x (*.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)) (.f64 2 (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (.f64 x y)) (.f64 2 (fma.f64 (neg.f64 y) 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)) (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y)))))
(+.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)) (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y)))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (.f64 2 (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1)))
(+.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)) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1)))
(+.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)) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1)))
(+.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 (.f64 2 (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 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 1) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.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 (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 (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 (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))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (.f64 x y) 3) 3)) (.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 (*.f64 1/2 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)))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/2 (/.f64 x 2) (.f64 (.f64 x x) 1/16)))
(+.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))))))
(+.f64 (fma.f64 1/2 (/.f64 x 2) (.f64 (.f64 x x) 1/16)) (fma.f64 1/6 (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (pow.f64 x 3)) (log.f64 (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))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.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)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (.f64 x (.f64 x 1/8))))
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localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

simplify436.0ms (5%)

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 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 error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 8 to 4 computations (50% saved)

eval369.0ms (4.3%)

Compiler: Compiled 18467 to 9942 computations (46.2% saved)

prune228.0ms (2.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	727	7	734
Fresh	1	1	2
Picked	0	1	1
Done	2	2	4
Total	730	11	741

Error

Counts

741 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	10.9b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	6.3b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	5.8b	(-.f64 (log.f64 2) (*.f64 x y))
	11.0b	(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
▶	30.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	44.1b	(*.f64 (-.f64 1/2 y) x)
✓	33.6b	(*.f64 x (neg.f64 y))
▶	30.6b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
✓	30.1b	(log1p.f64 (exp.f64 x))
▶	30.1b	(log.f64 (+.f64 (exp.f64 x) 1))
	30.6b	(log.f64 2)

Compiler

Compiled 155 to 128 computations (17.4% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	1.0b	(log.f64 (sqrt.f64 2))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series28.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	y	@	inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
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	y	@	-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))

rewrite99.0ms (1.1%)

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

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

((#(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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#<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 (*.f64 x y) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 2 (*.f64 (*.f64 x y) 0)))))) (#(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 (log.f64 2) (*.f64 x y)) (+.f64 (*.f64 2 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(#(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)))))))

simplify206.0ms (2.4%)

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

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize17.0ms (0.2%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) 1)
✓	0.5b	(log.f64 (+.f64 (exp.f64 x) 1))

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`add-sqr-sqrt`
1392×	`*-un-lft-identity`
1294×	`add-cube-cbrt`
1280×	`add-cbrt-cube`
1266×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	154	20
2	1819	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 x) 1)

Outputs

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

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-/l*`
856×	`unswap-sqr`
846×	`associate-/r*`
712×	`*-commutative`
682×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1306
1	322	1276
2	1247	1174
3	4564	1174

Stop Event

1×	node limit

Counts

78 → 82

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)))
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 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (expm1.f64 x)))
(-.f64 (+.f64 1 (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))))
(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))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (expm1.f64 x)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (E.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))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(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)))
(fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.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))))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (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))
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 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1)) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (+.f64 (exp.f64 (+.f64 x x)) -1)) (log.f64 (expm1.f64 x)))
(-.f64 (+.f64 1 (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))
(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))
(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))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (+.f64 (exp.f64 x) 1)) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (expm1.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -1) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 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 (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))
(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))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) 1)))
(+.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 (exp.f64 x) 1)))
(+.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))

localize22.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 x))
	1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 30 to 20 computations (33.3% saved)

eval262.0ms (3%)

Compiler: Compiled 11560 to 7326 computations (36.6% saved)

prune122.0ms (1.4%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	579	6	585
Fresh	0	3	3
Picked	0	1	1
Done	0	7	7
Total	579	17	596

Error

Counts

596 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.9b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	54.8b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	55.8b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	44.2b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	6.3b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	5.8b	(-.f64 (log.f64 2) (*.f64 x y))
	11.0b	(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
✓	30.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	54.8b	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
✓	44.1b	(*.f64 (-.f64 1/2 y) x)
✓	33.6b	(*.f64 x (neg.f64 y))
✓	30.6b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
▶	61.8b	(*.f64 1/2 x)
✓	30.1b	(log1p.f64 (exp.f64 x))
✓	30.1b	(log.f64 (+.f64 (exp.f64 x) 1))
▶	30.8b	(log.f64 (+.f64 2 x))
	30.6b	(log.f64 2)

Compiler

Compiled 230 to 178 computations (22.6% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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))

rewrite75.0ms (0.9%)

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))))))))

simplify64.0ms (0.7%)

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))
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(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))

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
✓	12.6b	(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))

Compiler

Compiled 37 to 20 computations (45.9% saved)

series10.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))
1.0ms	x	@	0	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
0.0ms	x	@	inf	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
0.0ms	y	@	inf	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
0.0ms	y	@	inf	(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y))

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

175 → 241

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.6b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))

Compiler

Compiled 33 to 18 computations (45.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	259	13
2	3833	13

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-+r+`
874×	`associate-+l+`
662×	`associate-/l*`
556×	`distribute-lft-in`
530×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1918
1	426	1894
2	1480	1862
3	5557	1856

Stop Event

1×	node limit

Counts

76 → 74

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

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

localize13.0ms (0.2%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

eval151.0ms (1.7%)

Compiler: Compiled 6829 to 4598 computations (32.7% saved)

prune71.0ms (0.8%)

Pruning

20 alts after pruning (7 fresh and 13 done)

	Pruned	Kept	Total
New	375	4	379
Fresh	1	3	4
Picked	0	1	1
Done	0	12	12
Total	376	20	396

Error

Counts

396 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	10.9b	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	54.8b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	59.9b	(/.f64 (-.f64 1/16 (.f64 (neg.f64 (.f64 y y)) (neg.f64 (.f64 y y)))) (.f64 (/.f64 (+.f64 y 1/2) x) (+.f64 1/4 (*.f64 y y))))
	55.8b	(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
	44.2b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	44.2b	(/.f64 1 (/.f64 (/.f64 1 (-.f64 1/2 y)) x))
✓	6.3b	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	5.8b	(-.f64 (log.f64 2) (*.f64 x y))
	11.0b	(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
✓	30.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	54.8b	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) (+.f64 1/2 y)) x)
	55.8b	(.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (.f64 y y)) (/.f64 1 x)))
✓	44.1b	(*.f64 (-.f64 1/2 y) x)
✓	33.6b	(*.f64 x (neg.f64 y))
✓	30.6b	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
✓	61.8b	(*.f64 1/2 x)
✓	30.1b	(log1p.f64 (exp.f64 x))
✓	30.1b	(log.f64 (+.f64 (exp.f64 x) 1))
✓	30.8b	(log.f64 (+.f64 2 x))
	30.6b	(log.f64 2)

Compiler

Compiled 199 to 150 computations (24.6% saved)

regimes80.0ms (0.9%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	y
15.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 230 to 144 computations (37.4% saved)

regimes65.0ms (0.8%)

Counts

22 → 1

Calls

Call 1

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

42.0ms	y
18.0ms	x

Results

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

Compiler

Compiled 181 to 113 computations (37.6% saved)

regimes55.0ms (0.6%)

Counts

20 → 2

Calls

Call 1

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

32.0ms	y
18.0ms	x

Results

Error	Segments	Branch
0.3b	2	`x`
4.5b	3	`y`

Compiler

Compiled 167 to 107 computations (35.9% saved)

bsearch36.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	-8078.862769281662	-1060.1052933266021

Results

16.0ms	59×	body	256	valid
13.0ms	25×	body	1024	valid
5.0ms	12×	body	512	valid

Compiler

Compiled 124 to 96 computations (22.6% saved)

regimes57.0ms (0.7%)

Counts

15 → 2

Calls

Call 1

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

33.0ms	y
20.0ms	x

Results

Error	Segments	Branch
0.6b	2	`x`
4.5b	3	`y`

Compiler

Compiled 136 to 85 computations (37.5% saved)

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	-8078.862769281662	-1060.1052933266021

Results

23.0ms	23×	body	1024	valid
8.0ms	57×	body	256	valid
4.0ms	16×	body	512	valid

Compiler

Compiled 112 to 84 computations (25% saved)

regimes67.0ms (0.8%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	y
23.0ms	x

Results

Error	Segments	Branch
13.6b	2	`x`
16.2b	5	`y`

Compiler

Compiled 130 to 81 computations (37.7% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-0.0021832615953246404	-0.00010096539246376111

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 128 to 103 computations (19.5% saved)

regimes75.0ms (0.9%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	y
27.0ms	x

Results

Error	Segments	Branch
13.6b	2	`x`
16.6b	5	`y`

Compiler

Compiled 124 to 76 computations (38.7% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-0.0021832615953246404	-0.00010096539246376111

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 114 to 89 computations (21.9% saved)

regimes75.0ms (0.9%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	y
29.0ms	x

Results

Error	Segments	Branch
13.9b	2	`x`
16.7b	5	`y`

Compiler

Compiled 120 to 73 computations (39.2% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-0.0021832615953246404	-0.00010096539246376111

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 100 to 82 computations (18% saved)

regimes24.0ms (0.3%)

Accuracy

Total -29.1b remaining (-86.5%)

Threshold costs -29.1b (-86.5%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	y

Results

Error	Segments	Branch
33.6b	1	`x`
33.6b	1	`y`

Compiler

Compiled 118 to 71 computations (39.8% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-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	42	239
1	65	239
2	79	239
3	84	239
4	86	239

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 -1100) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -1100) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8116567392432203/36893488147419103232) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -1936908127739503/18446744073709551616) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -5534023222112865/36893488147419103232) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.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 -1100) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -1100) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -1100) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8116567392432203/36893488147419103232) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -8116567392432203/36893488147419103232) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -1936908127739503/18446744073709551616) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -1936908127739503/18446744073709551616) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x 2)))
(if (<=.f64 x -5534023222112865/36893488147419103232) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 107 to 77 computations (28% saved)

soundness0.0ms (0%)

end54.0ms (0.6%)

Compiler: Compiled 91 to 48 computations (47.3% saved)

Details

analyze179.0ms (2.1%)

sample3.4s (39.6%)

preprocess84.0ms (1%)

simplify77.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.1%)

series46.0ms (0.5%)

rewrite111.0ms (1.3%)

simplify133.0ms (1.5%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite73.0ms (0.8%)

simplify110.0ms (1.3%)

eval215.0ms (2.5%)

prune117.0ms (1.4%)

localize22.0ms (0.3%)

series54.0ms (0.6%)

rewrite134.0ms (1.6%)

simplify174.0ms (2%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite61.0ms (0.7%)

simplify72.0ms (0.8%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite86.0ms (1%)

simplify436.0ms (5%)

localize5.0ms (0.1%)

eval369.0ms (4.3%)

prune228.0ms (2.6%)

localize14.0ms (0.2%)

series28.0ms (0.3%)

rewrite99.0ms (1.1%)

simplify206.0ms (2.4%)

localize5.0ms (0.1%)

localize17.0ms (0.2%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite68.0ms (0.8%)

simplify63.0ms (0.7%)

localize22.0ms (0.3%)

eval262.0ms (3%)

prune122.0ms (1.4%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite75.0ms (0.9%)

simplify64.0ms (0.7%)

localize3.0ms (0%)

localize13.0ms (0.1%)

series10.0ms (0.1%)

rewrite89.0ms (1%)

simplify119.0ms (1.4%)

localize21.0ms (0.2%)

series1.0ms (0%)

rewrite75.0ms (0.9%)

simplify74.0ms (0.9%)

localize13.0ms (0.2%)

eval151.0ms (1.7%)

prune71.0ms (0.8%)

regimes80.0ms (0.9%)

regimes65.0ms (0.8%)

regimes55.0ms (0.6%)

bsearch36.0ms (0.4%)

regimes57.0ms (0.7%)

bsearch37.0ms (0.4%)

regimes67.0ms (0.8%)

bsearch17.0ms (0.2%)

regimes75.0ms (0.9%)

bsearch16.0ms (0.2%)

regimes75.0ms (0.9%)

bsearch15.0ms (0.2%)

regimes24.0ms (0.3%)

simplify10.0ms (0.1%)

soundness0.0ms (0%)

end54.0ms (0.6%)

Profiling