Details

analyze167.0ms (2%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.0s (49.2%)

Results

2.6s	2459×	body	8192	exit
1.3s	7771×	body	256	valid
104.0ms	216×	body	1024	valid
77.0ms	269×	body	512	valid
21.0ms	155×	body	256	infinite

Bogosity

preprocess80.0ms (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)

simplify74.0ms (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

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series42.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))

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

Outputs

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-r`
1104×	`associate-l`
814×	`associate-+l+`
796×	`associate-+r+`
788×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	532
1	175	532
2	593	532
3	3643	502
4	6963	502

Stop Event

1×	node limit

Counts

36 → 42

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)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 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))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (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))))

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 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))))
(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))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 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))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 4))
(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))

eval8.0ms (0.1%)

Compiler: Compiled 662 to 245 computations (63% saved)

prune8.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Error

Counts

43 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1) (*.f64 x y))
▶	11.3b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	6.3b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 42 to 31 computations (26.2% 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)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

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)))))))

simplify66.0ms (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))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 27

Calls

9 calls:

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

rewrite110.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`associate-*r/`
1062×	`distribute-lft-in`
982×	`associate-*l/`
442×	`associate-+l+`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	263	38
2	3520	38

Stop Event

1×	node limit

Counts

2 → 266

Calls

Call 1

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

Outputs

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simplify139.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

850×	`associate-r`
752×	`associate-l`
750×	`associate-/l*`
684×	`associate-+l+`
604×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	658	17979
1	1915	16957

Stop Event

1×	node limit

Counts

293 → 380

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (exp.f64 x))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 x)) 1)
✓	0.7b	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)

Compiler

Compiled 36 to 17 computations (52.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (log1p.f64 (exp.f64 x)) 1)
0.0ms	x	@	0	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
0.0ms	x	@	inf	(+.f64 (log1p.f64 (exp.f64 x)) 1)
0.0ms	x	@	-inf	(+.f64 (log1p.f64 (exp.f64 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`add-sqr-sqrt`
1700×	`*-un-lft-identity`
1588×	`add-cube-cbrt`
1574×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	190	24
2	2433	24

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(+.f64 (log1p.f64 (exp.f64 x)) 1)

Outputs

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

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

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1122×	`distribute-lft-in`
1058×	`associate-/l*`
978×	`distribute-rgt-in`
720×	`unswap-sqr`
706×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2506
1	412	2434
2	1747	2294

Stop Event

1×	node limit

Counts

102 → 112

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

eval241.0ms (2.9%)

Compiler: Compiled 15137 to 9216 computations (39.1% saved)

prune100.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	577	7	584
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	579	9	588

Error

Counts

588 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	11.8b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
▶	44.1b	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.3b	(-.f64 (log.f64 2) (*.f64 x y))
▶	11.3b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	29.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	44.1b	(*.f64 (-.f64 1/2 y) x)
▶	33.4b	(*.f64 y (neg.f64 x))
▶	29.5b	(log.f64 2)

Compiler

Compiled 137 to 106 computations (22.6% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite75.0ms (0.9%)

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	19
1	238	19
2	3046	19

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

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

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-/r*`
1426×	`associate-*r/`
1018×	`*-commutative`
850×	`associate-*l/`
806×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	228	6091
1	650	5257
2	2873	5257

Stop Event

1×	node limit

Counts

93 → 142

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

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

localize4.0ms (0.1%)

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

localize6.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`add-sqr-sqrt`
1928×	`*-un-lft-identity`
1802×	`add-cube-cbrt`
1786×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	179	13
2	2391	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1352×	`fma-def`
936×	`times-frac`
698×	`associate-/l*`
668×	`+-commutative`
656×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1769
1	392	1605
2	1801	1447
3	7672	1447

Stop Event

1×	node limit

Counts

75 → 73

Calls

Call 1

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

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

localize3.0ms (0%)

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

eval110.0ms (1.3%)

Compiler: Compiled 5859 to 4427 computations (24.4% saved)

prune44.0ms (0.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	0	2	2
Picked	0	1	1
Done	1	5	6
Total	214	10	224

Error

Counts

224 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.5b	(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (+.f64 1/2 y)))
▶	11.8b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.3b	(-.f64 (log.f64 2) (*.f64 x y))
✓	11.3b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	29.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	44.1b	(*.f64 (-.f64 1/2 y) x)
✓	33.4b	(*.f64 y (neg.f64 x))
▶	61.8b	(*.f64 1/2 x)
✓	29.5b	(log.f64 2)

Compiler

Compiled 90 to 68 computations (24.4% saved)

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
✓	0.0b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
✓	0.7b	(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)

Compiler

Compiled 51 to 40 computations (21.6% saved)

series2.0ms (0%)

Counts

3 → 45

Calls

12 calls:

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

rewrite120.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`associate-+l+`
520×	`associate-/r*`
432×	`associate-/l*`
418×	`+-commutative`
396×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	340	57
2	4750	57

Stop Event

1×	node limit

Counts

3 → 339

Calls

Call 1

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

Outputs

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

simplify176.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

970×	`distribute-lft-in`
932×	`+-commutative`
928×	`distribute-rgt-in`
760×	`associate--l+`
738×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	797	21196
1	2299	20162

Stop Event

1×	node limit

Counts

384 → 506

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 1/2 y))
✓	8.8b	(.f64 (.f64 x x) (-.f64 1/4 (*.f64 y y)))
✓	25.5b	(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 x (+.f64 1/2 y)))

Compiler

Compiled 49 to 23 computations (53.1% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`associate-/l/`
1052×	`distribute-rgt-in`
992×	`distribute-lft-in`
310×	`add-sqr-sqrt`
302×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	302	51
2	4574	51

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 x 1/2) 1)) (*.f64 1 (*.f64 (*.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x 1/2) 1) 1) (*.f64 (*.f64 (*.f64 x y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 y 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (*.f64 (-.f64 1/2 y) (+.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (-.f64 1/2 y) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 (*.f64 1/4 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x 1/2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 1 (-.f64 (*.f64 x 1/2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 1 (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x y))))))

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1262×	`times-frac`
842×	`associate-r`
710×	`associate-l`
648×	`distribute-lft-neg-in`
636×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	5661
1	1168	5413
2	6207	5401

Stop Event

1×	node limit

Counts

219 → 202

Calls

Call 1

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

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

eval531.0ms (6.5%)

Compiler: Compiled 22787 to 15864 computations (30.4% saved)

prune268.0ms (3.3%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	827	11	838
Fresh	0	0	0
Picked	1	0	1
Done	0	9	9
Total	828	20	848

Error

Counts

848 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	57.9b	(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x 1/2) (*.f64 x y))))
	58.0b	(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 y y))) (.f64 y x))
	56.1b	(/.f64 (.f64 y (.f64 (neg.f64 y) (.f64 x x))) (.f64 x (+.f64 1/2 y)))
	52.5b	(/.f64 (*.f64 x x) (/.f64 x (-.f64 1/2 y)))
	62.2b	(/.f64 (.f64 1/4 (.f64 x x)) (*.f64 x (+.f64 1/2 y)))
	53.7b	(/.f64 (neg.f64 x) (/.f64 (+.f64 y 1/2) (.f64 (/.f64 (-.f64 1/4 (.f64 y y)) -1) 1)))
✓	11.8b	(-.f64 (-.f64 (+.f64 (.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (.f64 x y))
✓	0.0b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.3b	(-.f64 (log.f64 2) (*.f64 x y))
✓	11.3b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	29.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	57.6b	(.f64 (/.f64 (-.f64 1/4 (.f64 y y)) x) (/.f64 (*.f64 x x) (+.f64 y 1/2)))
	53.7b	(.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (.f64 y y)))
	55.7b	(.f64 (/.f64 1 (+.f64 y 1/2)) (.f64 x (-.f64 1/4 (*.f64 y y))))
✓	44.1b	(*.f64 (-.f64 1/2 y) x)
	52.8b	(.f64 (.f64 x x) (/.f64 1 (/.f64 x (-.f64 1/2 y))))
✓	33.4b	(*.f64 y (neg.f64 x))
	55.7b	(.f64 x (.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (/.f64 1 (*.f64 x (+.f64 y 1/2)))))
✓	61.8b	(*.f64 1/2 x)
✓	29.5b	(log.f64 2)

Compiler

Compiled 258 to 179 computations (30.6% saved)

regimes80.0ms (1%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	y
12.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 289 to 162 computations (43.9% saved)

regimes52.0ms (0.6%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	x
11.0ms	y

Results

Error	Segments	Branch
0.4b	2	`x`
6.3b	1	`y`

Compiler

Compiled 251 to 142 computations (43.4% saved)

bsearch48.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
47.0ms	-2088.8180665660643	-2.7513760074480977e-6

Results

45.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes47.0ms (0.6%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	x
15.0ms	y

Results

Error	Segments	Branch
0.8b	2	`x`
6.3b	1	`y`

Compiler

Compiled 219 to 120 computations (45.2% saved)

bsearch45.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	-2088.8180665660643	-2.7513760074480977e-6

Results

41.0ms	137×	body	256	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 160 to 120 computations (25% saved)

regimes121.0ms (1.5%)

Counts

18 → 4

Calls

Call 1

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

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

Calls

2 calls:

71.0ms	y
44.0ms	x

Results

Error	Segments	Branch
8.4b	4	`x`
15.8b	7	`y`

Compiler

Compiled 213 to 117 computations (45.1% saved)

bsearch73.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
26.0ms	1.8573891167300106e-19	5.046581594996143e-13
27.0ms	1.1742688126772528e-35	4.764125354713956e-35
19.0ms	-1.946791971610784e-63	-1.279232072389049e-70

Results

68.0ms

384×

body

256

valid

Compiler

Compiled 355 to 294 computations (17.2% saved)

regimes144.0ms (1.8%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

109.0ms	y
31.0ms	x

Results

Error	Segments	Branch
9.1b	3	`x`
16.2b	7	`y`

Compiler

Compiled 207 to 112 computations (45.9% saved)

bsearch38.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.1742688126772528e-35	4.764125354713956e-35
18.0ms	-1.946791971610784e-63	-1.279232072389049e-70

Results

35.0ms

240×

body

256

valid

Compiler

Compiled 202 to 168 computations (16.8% saved)

regimes23.0ms (0.3%)

Accuracy

Total -30.2b remaining (-90.4%)

Threshold costs -30.2b (-90.4%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
8.0ms	y

Results

Error	Segments	Branch
33.4b	1	`x`
33.4b	1	`y`

Compiler

Compiled 205 to 110 computations (46.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	239
1	59	239
2	70	239
3	75	239
4	77	239

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -72) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8299976956530825/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 y (neg.f64 x)) (if (<=.f64 x 888592995497189/23384026197294446691258957323460528314494920687616) (log.f64 2) (if (<=.f64 x 7975367974709495/41538374868278621028243970633760768) (.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -7351408161498731/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 y (neg.f64 x)) (if (<=.f64 x 678136759721539/23384026197294446691258957323460528314494920687616) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -72) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -72) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8299976956530825/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 y (neg.f64 x)) (if (<=.f64 x 888592995497189/23384026197294446691258957323460528314494920687616) (log.f64 2) (if (<=.f64 x 7975367974709495/41538374868278621028243970633760768) (.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -8299976956530825/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 y (neg.f64 x)) (if (<=.f64 x 888592995497189/23384026197294446691258957323460528314494920687616) (log.f64 2) (if (<=.f64 x 7975367974709495/41538374868278621028243970633760768) (.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -8299976956530825/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 x (neg.f64 y)) (if (<=.f64 x 888592995497189/23384026197294446691258957323460528314494920687616) (log.f64 2) (if (<=.f64 x 7975367974709495/41538374868278621028243970633760768) (.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -7351408161498731/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 y (neg.f64 x)) (if (<=.f64 x 678136759721539/23384026197294446691258957323460528314494920687616) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -7351408161498731/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 y (neg.f64 x)) (if (<=.f64 x 678136759721539/23384026197294446691258957323460528314494920687616) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7351408161498731/237142198758023568227473377297792835283496928595231875152809132048206089502588928) (.f64 x (neg.f64 y)) (if (<=.f64 x 678136759721539/23384026197294446691258957323460528314494920687616) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 106 to 76 computations (28.3% saved)

soundness192.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end69.0ms (0.8%)

Compiler: Compiled 94 to 55 computations (41.5% saved)

Details

analyze167.0ms (2%)

sample4.0s (49.2%)

preprocess80.0ms (1%)

simplify74.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series42.0ms (0.5%)

rewrite52.0ms (0.6%)

simplify59.0ms (0.7%)

eval8.0ms (0.1%)

prune8.0ms (0.1%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite67.0ms (0.8%)

simplify66.0ms (0.8%)

localize17.0ms (0.2%)

series1.0ms (0%)

rewrite110.0ms (1.3%)

simplify139.0ms (1.7%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite63.0ms (0.8%)

simplify59.0ms (0.7%)

eval241.0ms (2.9%)

prune100.0ms (1.2%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite75.0ms (0.9%)

simplify81.0ms (1%)

localize4.0ms (0.1%)

localize6.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite62.0ms (0.8%)

simplify75.0ms (0.9%)

localize3.0ms (0%)

eval110.0ms (1.3%)

prune44.0ms (0.5%)

localize3.0ms (0%)

localize9.0ms (0.1%)

localize26.0ms (0.3%)

series2.0ms (0%)

rewrite120.0ms (1.5%)

simplify176.0ms (2.1%)

localize23.0ms (0.3%)

series6.0ms (0.1%)

rewrite90.0ms (1.1%)

simplify99.0ms (1.2%)

eval531.0ms (6.5%)

prune268.0ms (3.3%)

regimes80.0ms (1%)

regimes52.0ms (0.6%)

bsearch48.0ms (0.6%)

regimes47.0ms (0.6%)

bsearch45.0ms (0.5%)

regimes121.0ms (1.5%)

bsearch73.0ms (0.9%)

regimes144.0ms (1.8%)

bsearch38.0ms (0.5%)

regimes23.0ms (0.3%)

simplify10.0ms (0.1%)

soundness192.0ms (2.3%)

end69.0ms (0.8%)

Profiling