Details

analyze128.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.8s (38.7%)

Results

3.0s	2502×	body	8192	exit
1.5s	7796×	body	256	valid
163.0ms	216×	body	1024	valid
67.0ms	242×	body	512	valid
18.0ms	136×	body	256	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess85.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

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

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(-.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
✓	0.3b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series41.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite46.0ms (0.4%)

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))))))))

simplify63.0ms (0.5%)

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))

eval9.0ms (0.1%)

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

prune6.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

0.2b

Counts

43 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.0b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	6.2b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (0.5%)

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)))))))

simplify65.0ms (0.5%)

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))

localize15.0ms (0.1%)

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)

series2.0ms (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	@	-inf	(+.f64 (*.f64 1/2 x) (log.f64 2))

rewrite107.0ms (0.9%)

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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simplify134.0ms (1.1%)

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))

eval201.0ms (1.6%)

Compiler: Compiled 12439 to 7821 computations (37.1% saved)

prune77.0ms (0.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	422	8	430
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	423	10	433

Error

0.2b

Counts

433 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	13.8b	(-.f64 (/.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 1/2 x) (log.f64 2))) (cbrt.f64 (-.f64 (.f64 1/2 x) (log.f64 2))))) (cbrt.f64 (-.f64 (.f64 1/2 x) (log.f64 2)))) (*.f64 x y))
▶	14.4b	(-.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))) (*.f64 x y))
▶	12.6b	(-.f64 (.f64 (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (*.f64 x y))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.2b	(-.f64 (log.f64 2) (*.f64 x y))
▶	11.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
	27.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
	46.1b	(*.f64 (-.f64 1/2 y) x)
▶	36.0b	(*.f64 y (neg.f64 x))
▶	27.4b	(log.f64 2)

Compiler

Compiled 331 to 272 computations (17.8% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

148 → 214

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize3.0ms (0%)

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
✓	0.0b	(/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2)))
✓	1.0b	(pow.f64 (log.f64 2) 2)
✓	6.6b	(.f64 (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))

Compiler

Compiled 94 to 68 computations (27.7% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`associate-*l/`
1194×	`associate-/r*`
358×	`add-sqr-sqrt`
344×	`*-un-lft-identity`
342×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	114
1	364	72
2	4695	72

Stop Event

1×	node limit

Counts

4 → 299

Calls

Call 1

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

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

simplify166.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-r`
1040×	`associate-l`
862×	`associate-/l/`
834×	`associate-/r*`
582×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	721	20983
1	1970	20187

Stop Event

1×	node limit

Counts

335 → 457

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

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

localize109.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (log.f64 2) 3)
✓	7.3b	(/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
✓	7.3b	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))))
✓	10.4b	(cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))

Compiler

Compiled 244 to 200 computations (18% saved)

series7.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))
1.0ms	x	@	-inf	(cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))
1.0ms	x	@	0	(cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))
1.0ms	x	@	0	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`associate-+l+`
520×	`add-sqr-sqrt`
500×	`*-un-lft-identity`
494×	`pow1`
490×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	230
1	537	186
2	7228	186

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

Inputs
(cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (cbrt.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))))
(/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(pow.f64 (log.f64 2) 3)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 2) (pow.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log.f64 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 2)) (.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 2) 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 2) 2) (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 3) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))))))

simplify123.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1756×	`distribute-lft-in`
1744×	`distribute-rgt-in`
712×	`associate-r`
548×	`+-commutative`
514×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	9468
1	1098	9244
2	5056	9240

Stop Event

1×	node limit

Counts

158 → 247

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (.f64 -1/576 (/.f64 (pow.f64 x 6) (pow.f64 (log.f64 2) 5)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 5/41472 (/.f64 (pow.f64 x 9) (pow.f64 (log.f64 2) 8))) (*.f64 -1/576 (/.f64 (pow.f64 x 6) (pow.f64 (log.f64 2) 5))))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))))
(+.f64 (.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5))) (+.f64 (.f64 1/2 x) (*.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 64/27 (pow.f64 (log.f64 2) 9)) (.f64 -128/9 (pow.f64 (log.f64 2) 9))) (pow.f64 x 8))) (+.f64 (.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5))) (+.f64 (.f64 1/2 x) (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))))))
(.f64 -1 (.f64 x (cbrt.f64 -1/8)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (cbrt.f64 -1/8) 2) (pow.f64 x 2)))) (.f64 -1 (.f64 x (cbrt.f64 -1/8))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (cbrt.f64 -1/8) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 x (cbrt.f64 -1/8))) (.f64 1/9 (/.f64 (pow.f64 (log.f64 2) 6) (.f64 (pow.f64 (cbrt.f64 -1/8) 5) (pow.f64 x 5))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (cbrt.f64 -1/8) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (log.f64 2) 9) (pow.f64 (cbrt.f64 -1/8) 6))) (.f64 1/27 (/.f64 (pow.f64 (log.f64 2) 9) (pow.f64 (cbrt.f64 -1/8) 6)))) (.f64 (pow.f64 (cbrt.f64 -1/8) 2) (pow.f64 x 8)))) (+.f64 (.f64 -1 (.f64 x (cbrt.f64 -1/8))) (.f64 1/9 (/.f64 (pow.f64 (log.f64 2) 6) (.f64 (pow.f64 (cbrt.f64 -1/8) 5) (pow.f64 x 5)))))))
(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) (+.f64 (log.f64 2) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 2) 2))) x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -2 (/.f64 (.f64 (log.f64 2) (+.f64 (.f64 -2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 2) 2))) x)))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) x)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(+.f64 (.f64 2 (/.f64 (.f64 (log.f64 2) (+.f64 (.f64 2 (pow.f64 (log.f64 2) 2)) (.f64 -2 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2))) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) x)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))))
(log.f64 2)
(+.f64 (*.f64 -1/2 x) (log.f64 2))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (log.f64 2)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (log.f64 2) (*.f64 -1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (log.f64 2)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (log.f64 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)) (.f64 -4/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))))))
(.f64 -1/4 (.f64 (cbrt.f64 -8) x))
(+.f64 (.f64 1/2 (.f64 (cbrt.f64 -8) (log.f64 2))) (.f64 -1/4 (.f64 (cbrt.f64 -8) x)))
(+.f64 (.f64 1/2 (.f64 (cbrt.f64 -8) (log.f64 2))) (+.f64 (.f64 -1/4 (.f64 (cbrt.f64 -8) x)) (.f64 -1 (/.f64 (.f64 (cbrt.f64 -8) (pow.f64 (log.f64 2) 2)) x))))
(+.f64 (.f64 1/2 (.f64 (cbrt.f64 -8) (log.f64 2))) (+.f64 (.f64 -1/4 (.f64 (cbrt.f64 -8) x)) (+.f64 (.f64 -1 (/.f64 (.f64 (cbrt.f64 -8) (pow.f64 (log.f64 2) 2)) x)) (.f64 -16/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (cbrt.f64 -8) 2) (pow.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1/6) (pow.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 1/3))
(/.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/512) (pow.f64 (log.f64 2) 9))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (log.f64 2) 6) (.f64 1/64 (pow.f64 x 6))) (.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 1/64 (pow.f64 x 6)) (pow.f64 (log.f64 2) 6))) (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(pow.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2))
(fabs.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4)))))) 1)
(.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4)))))
(.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4)))))
(.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4)))) 1)
(.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4))))) (sqrt.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4))))) 2) (cbrt.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) 2) (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4)))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) 2))
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(pow.f64 (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4)))) -1)
(neg.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (neg.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) 3) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)
(*.f64 (log.f64 2) (pow.f64 (log.f64 2) 2))
(*.f64 (pow.f64 (log.f64 2) 3) 1)
(*.f64 1 (pow.f64 (log.f64 2) 3))
(*.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))
(.f64 (sqrt.f64 (log.f64 2)) (.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))
(.f64 (.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))
(.f64 (.f64 (pow.f64 (log.f64 2) 2) (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)))
(.f64 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 3) (log.f64 2))
(sqrt.f64 (pow.f64 (log.f64 2) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))
(cbrt.f64 (pow.f64 (log.f64 2) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 2))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))
(+.f64 (log.f64 2) (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 (log.f64 2) 2)))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (.f64 -1/576 (/.f64 (pow.f64 x 6) (pow.f64 (log.f64 2) 5)))))
(+.f64 (log.f64 2) (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (/.f64 (*.f64 -1/576 (pow.f64 x 6)) (pow.f64 (log.f64 2) 5))))
(+.f64 (log.f64 2) (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (/.f64 -1/576 (/.f64 (pow.f64 (log.f64 2) 5) (pow.f64 x 6)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 5/41472 (/.f64 (pow.f64 x 9) (pow.f64 (log.f64 2) 8))) (*.f64 -1/576 (/.f64 (pow.f64 x 6) (pow.f64 (log.f64 2) 5))))))
(+.f64 (log.f64 2) (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (fma.f64 5/41472 (/.f64 (pow.f64 x 9) (pow.f64 (log.f64 2) 8)) (/.f64 (*.f64 -1/576 (pow.f64 x 6)) (pow.f64 (log.f64 2) 5)))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (log.f64 2)) (fma.f64 -1/576 (/.f64 (pow.f64 x 6) (pow.f64 (log.f64 2) 5)) (/.f64 5/41472 (/.f64 (pow.f64 (log.f64 2) 8) (pow.f64 x 9)))))
(+.f64 (log.f64 2) (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (fma.f64 -1/576 (/.f64 (pow.f64 x 6) (pow.f64 (log.f64 2) 5)) (/.f64 5/41472 (/.f64 (pow.f64 (log.f64 2) 8) (pow.f64 x 9))))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))))
(fma.f64 1/2 x (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x))))
(fma.f64 x 1/2 (*.f64 (/.f64 4/3 x) (/.f64 (pow.f64 (log.f64 2) 3) x)))
(fma.f64 x 1/2 (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x))))
(+.f64 (.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5))) (+.f64 (.f64 1/2 x) (*.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2)))))
(fma.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5)) (fma.f64 1/2 x (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)))))
(fma.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5)) (fma.f64 x 1/2 (*.f64 (/.f64 4/3 x) (/.f64 (pow.f64 (log.f64 2) 3) x))))
(fma.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5)) (fma.f64 x 1/2 (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)))))
(+.f64 (.f64 -4/3 (/.f64 (+.f64 (.f64 64/27 (pow.f64 (log.f64 2) 9)) (.f64 -128/9 (pow.f64 (log.f64 2) 9))) (pow.f64 x 8))) (+.f64 (.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5))) (+.f64 (.f64 1/2 x) (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))))))
(fma.f64 -4/3 (/.f64 (.f64 (pow.f64 (log.f64 2) 9) -320/27) (pow.f64 x 8)) (fma.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5)) (fma.f64 1/2 x (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (*.f64 x x))))))
(fma.f64 -4/3 (/.f64 (pow.f64 (log.f64 2) 9) (/.f64 (pow.f64 x 8) -320/27)) (fma.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5)) (fma.f64 x 1/2 (*.f64 (/.f64 4/3 x) (/.f64 (pow.f64 (log.f64 2) 3) x)))))
(fma.f64 -4/3 (/.f64 (pow.f64 (log.f64 2) 9) (/.f64 (pow.f64 x 8) -320/27)) (fma.f64 -32/9 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 x 5)) (fma.f64 x 1/2 (.f64 4/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x))))))
(.f64 -1 (.f64 x (cbrt.f64 -1/8)))
(neg.f64 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 x (neg.f64 (cbrt.f64 -1/8)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (cbrt.f64 -1/8) 2) (pow.f64 x 2)))) (.f64 -1 (.f64 x (cbrt.f64 -1/8))))
(fma.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1/8) 2))) (neg.f64 (*.f64 x (cbrt.f64 -1/8))))
(-.f64 (.f64 (/.f64 1/3 (.f64 x x)) (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (cbrt.f64 -1/8) 2))) (*.f64 x (cbrt.f64 -1/8)))
(-.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x (.f64 x (pow.f64 (cbrt.f64 -1/8) 2))))) (.f64 x (cbrt.f64 -1/8)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (cbrt.f64 -1/8) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 x (cbrt.f64 -1/8))) (.f64 1/9 (/.f64 (pow.f64 (log.f64 2) 6) (.f64 (pow.f64 (cbrt.f64 -1/8) 5) (pow.f64 x 5))))))
(fma.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1/8) 2))) (fma.f64 -1 (.f64 x (cbrt.f64 -1/8)) (.f64 1/9 (/.f64 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (cbrt.f64 -1/8) 5)) (pow.f64 x 5)))))
(fma.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x (.f64 x (pow.f64 (cbrt.f64 -1/8) 2)))) (-.f64 (.f64 (/.f64 1/9 (pow.f64 x 5)) (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (cbrt.f64 -1/8) 5))) (.f64 x (cbrt.f64 -1/8))))
(fma.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x (.f64 x (pow.f64 (cbrt.f64 -1/8) 2)))) (-.f64 (.f64 1/9 (/.f64 (pow.f64 (log.f64 2) 6) (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1/8) 5)))) (*.f64 x (cbrt.f64 -1/8))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 (cbrt.f64 -1/8) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -2/9 (/.f64 (pow.f64 (log.f64 2) 9) (pow.f64 (cbrt.f64 -1/8) 6))) (.f64 1/27 (/.f64 (pow.f64 (log.f64 2) 9) (pow.f64 (cbrt.f64 -1/8) 6)))) (.f64 (pow.f64 (cbrt.f64 -1/8) 2) (pow.f64 x 8)))) (+.f64 (.f64 -1 (.f64 x (cbrt.f64 -1/8))) (.f64 1/9 (/.f64 (pow.f64 (log.f64 2) 6) (.f64 (pow.f64 (cbrt.f64 -1/8) 5) (pow.f64 x 5)))))))
(fma.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1/8) 2))) (fma.f64 -1/3 (/.f64 (.f64 (/.f64 (pow.f64 (log.f64 2) 9) (pow.f64 (cbrt.f64 -1/8) 6)) -5/27) (.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1/8) 2))) (fma.f64 -1 (.f64 x (cbrt.f64 -1/8)) (.f64 1/9 (/.f64 (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (cbrt.f64 -1/8) 5)) (pow.f64 x 5))))))
(fma.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x (.f64 x (pow.f64 (cbrt.f64 -1/8) 2)))) (fma.f64 -1/3 (/.f64 (/.f64 (.f64 (pow.f64 (log.f64 2) 9) -5/27) 1/64) (.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 -1/8) 2))) (-.f64 (.f64 (/.f64 1/9 (pow.f64 x 5)) (/.f64 (pow.f64 (log.f64 2) 6) (pow.f64 (cbrt.f64 -1/8) 5))) (.f64 x (cbrt.f64 -1/8)))))
(fma.f64 1/3 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x (.f64 x (pow.f64 (cbrt.f64 -1/8) 2)))) (fma.f64 -1/3 (.f64 (/.f64 (/.f64 (pow.f64 (log.f64 2) 9) 1/64) (pow.f64 x 8)) (/.f64 -5/27 (pow.f64 (cbrt.f64 -1/8) 2))) (-.f64 (.f64 1/9 (/.f64 (pow.f64 (log.f64 2) 6) (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1/8) 5)))) (.f64 x (cbrt.f64 -1/8)))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 2) 2))) x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 2) 2) 0) x)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) 0)
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -2 (/.f64 (.f64 (log.f64 2) (+.f64 (.f64 -2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 2) 2))) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 -2 (/.f64 (log.f64 2) (/.f64 (.f64 x x) (.f64 (pow.f64 (log.f64 2) 2) 0))) (neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 2) 2) 0) x))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (+.f64 (*.f64 0 (/.f64 (log.f64 2) x)) 0))
(fma.f64 x 1/2 (-.f64 (/.f64 (log.f64 2) (/.f64 x 0)) (neg.f64 (log.f64 2))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) x)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 2) 2) 0) x)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) 0)
(+.f64 (.f64 2 (/.f64 (.f64 (log.f64 2) (+.f64 (.f64 2 (pow.f64 (log.f64 2) 2)) (.f64 -2 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2))) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) x)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 -2 (/.f64 (log.f64 2) (/.f64 (.f64 x x) (.f64 (pow.f64 (log.f64 2) 2) 0))) (neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 2) 2) 0) x))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (+.f64 (*.f64 0 (/.f64 (log.f64 2) x)) 0))
(fma.f64 x 1/2 (-.f64 (/.f64 (log.f64 2) (/.f64 x 0)) (neg.f64 (log.f64 2))))
(log.f64 2)
(+.f64 (*.f64 -1/2 x) (log.f64 2))
(fma.f64 -1/2 x (log.f64 2))
(fma.f64 x -1/2 (log.f64 2))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (log.f64 2)))
(fma.f64 -1/2 x (fma.f64 1/4 (/.f64 (*.f64 x x) (log.f64 2)) (log.f64 2)))
(fma.f64 x -1/2 (fma.f64 1/4 (/.f64 x (/.f64 (log.f64 2) x)) (log.f64 2)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (log.f64 2) (*.f64 -1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))))
(fma.f64 -1/2 x (+.f64 (fma.f64 1/4 (/.f64 (.f64 x x) (log.f64 2)) (log.f64 2)) (/.f64 (.f64 -1/24 (pow.f64 x 3)) (pow.f64 (log.f64 2) 2))))
(fma.f64 x -1/2 (fma.f64 1/4 (/.f64 x (/.f64 (log.f64 2) x)) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) -1/24 (log.f64 2))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(fma.f64 x 1/2 (neg.f64 (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (log.f64 2)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(fma.f64 1/2 x (fma.f64 -1 (log.f64 2) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(fma.f64 x 1/2 (fma.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x) (neg.f64 (log.f64 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (log.f64 2)) (+.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)) (.f64 -4/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))))))
(fma.f64 1/2 x (fma.f64 -1 (log.f64 2) (fma.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x) (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) -4/3))))
(fma.f64 x 1/2 (-.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x) (*.f64 (/.f64 -4/3 x) (/.f64 (pow.f64 (log.f64 2) 3) x))) (log.f64 2)))
(fma.f64 x 1/2 (-.f64 (fma.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x) (.f64 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) -4/3)) (log.f64 2)))
(.f64 -1/4 (.f64 (cbrt.f64 -8) x))
(.f64 (.f64 -1/4 (cbrt.f64 -8)) x)
(.f64 x (.f64 -1/4 (cbrt.f64 -8)))
(+.f64 (.f64 1/2 (.f64 (cbrt.f64 -8) (log.f64 2))) (.f64 -1/4 (.f64 (cbrt.f64 -8) x)))
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(/.f64 (fma.f64 (log.f64 2) (fma.f64 -1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 -1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 -1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))) 1))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 -1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 -1/2 x (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)
(pow.f64 (log.f64 2) 3)
(*.f64 (log.f64 2) (pow.f64 (log.f64 2) 2))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 3) 1)
(pow.f64 (log.f64 2) 3)
(*.f64 1 (pow.f64 (log.f64 2) 3))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))
(pow.f64 (log.f64 2) 3)
(.f64 (sqrt.f64 (log.f64 2)) (.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 3)
(.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))
(pow.f64 (log.f64 2) 3)
(.f64 (.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))
(pow.f64 (log.f64 2) 3)
(.f64 (.f64 (pow.f64 (log.f64 2) 2) (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)))
(pow.f64 (log.f64 2) 3)
(.f64 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (cbrt.f64 (log.f64 2)) 2)) (cbrt.f64 (log.f64 2)))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) 3) (log.f64 2))
(pow.f64 (log.f64 2) 3)
(sqrt.f64 (pow.f64 (log.f64 2) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))
(pow.f64 (log.f64 2) 3)
(cbrt.f64 (pow.f64 (log.f64 2) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 2))))
(pow.f64 (log.f64 2) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 2))) 1))
(pow.f64 (log.f64 2) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)

eval1.1s (9.1%)

Compiler: Compiled 48996 to 39592 computations (19.2% saved)

prune347.0ms (2.8%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1109	3	1112
Fresh	1	2	3
Picked	1	0	1
Done	1	5	6
Total	1112	10	1122

Error

0.2b

Counts

1122 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.0b	(-.f64 (.f64 (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))) (.f64 x (.f64 x 1/4))) (*.f64 x y))
▶	12.6b	(-.f64 (.f64 (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))) (expm1.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))) (*.f64 x y))
▶	8.1b	(-.f64 (.f64 (log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (.f64 x y))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.2b	(-.f64 (log.f64 2) (*.f64 x y))
✓	11.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	27.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	46.1b	(*.f64 (-.f64 1/2 y) x)
✓	36.0b	(*.f64 y (neg.f64 x))
✓	27.4b	(log.f64 2)

Compiler

Compiled 213 to 168 computations (21.1% saved)

localize87.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))
	1.0b	(pow.f64 (log.f64 2) 2)
✓	1.3b	(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))
✓	6.9b	(.f64 (log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))) (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)))

Compiler

Compiled 110 to 83 computations (24.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite110.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`associate-*r/`
1072×	`associate-*l/`
374×	`add-sqr-sqrt`
360×	`*-un-lft-identity`
356×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	95
1	396	89
2	4549	89

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

Inputs

(*.f64 (log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)))

(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))

(exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))

Outputs

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

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

simplify183.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-/l*`
948×	`times-frac`
854×	`associate-/r*`
766×	`associate-r`
666×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	670	19021
1	1846	18233

Stop Event

1×	node limit

Counts

255 → 375

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 1/2)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) x) (pow.f64 (log.f64 1/2) 2))) (*.f64 -1 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 1/2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) x) (pow.f64 (log.f64 1/2) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 1/2))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 1/2))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 1/2) 3)))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 2) 2) x) (pow.f64 (log.f64 1/2) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 1/2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 1/2))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 1/2) 3)))) (pow.f64 x 3)) (log.f64 1/2))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (log.f64 1/2))) (.f64 1/4 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 1/2) 3)))) (pow.f64 x 2)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 1/2)))
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (log.f64 1/2)) (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) x)))) (.f64 -2 (/.f64 (pow.f64 (log.f64 1/2) 2) x)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -2 (pow.f64 (log.f64 2) 2)) (.f64 -2 (pow.f64 (log.f64 1/2) 2))) (log.f64 1/2)) (pow.f64 x 2))) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (log.f64 1/2)) (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) x))))) (.f64 -2 (/.f64 (pow.f64 (log.f64 1/2) 2) x)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 1/2)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 1/2) 2))) x)) (+.f64 (.f64 1/2 x) (*.f64 -1 (log.f64 1/2))))
(+.f64 (.f64 2 (/.f64 (.f64 (log.f64 1/2) (-.f64 (.f64 2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 1/2) 2)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (pow.f64 (log.f64 2) 2)) (.f64 2 (pow.f64 (log.f64 1/2) 2))) x)) (+.f64 (.f64 1/2 x) (*.f64 -1 (log.f64 1/2)))))
(/.f64 1 (log.f64 1/2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 1/2) 2))) (/.f64 1 (log.f64 1/2)))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 1/2) 2))) (+.f64 (/.f64 1 (log.f64 1/2)) (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 1/2) 3)))))
(+.f64 (.f64 -1/2 (/.f64 x (pow.f64 (log.f64 1/2) 2))) (+.f64 (/.f64 1 (log.f64 1/2)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 1/2) 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 1/2) 4))))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2)))))
(+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 x 4))) (+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2))))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2)))))
(+.f64 (.f64 -16 (/.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 x 4))) (+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2))))))
(exp.f64 (/.f64 1 (log.f64 1/2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 (/.f64 1 (log.f64 1/2))) x) (pow.f64 (log.f64 1/2) 2))) (exp.f64 (/.f64 1 (log.f64 1/2))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 1/2) 4))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 1/2) 3)))) (.f64 (exp.f64 (/.f64 1 (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 (/.f64 1 (log.f64 1/2))) x) (pow.f64 (log.f64 1/2) 2))) (exp.f64 (/.f64 1 (log.f64 1/2)))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 1/2) 4))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 1/2) 3)))) (.f64 (exp.f64 (/.f64 1 (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 (/.f64 1 (log.f64 1/2))) x) (pow.f64 (log.f64 1/2) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (log.f64 1/2) 6))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 1/2) 4))) (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 1/2) 5))))) (.f64 (exp.f64 (/.f64 1 (log.f64 1/2))) (pow.f64 x 3)))) (exp.f64 (/.f64 1 (log.f64 1/2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2))))))
(+.f64 (.f64 8 (/.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -8 (/.f64 (log.f64 1/2) (pow.f64 x 3))) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2)))))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 8 (log.f64 1/2)) (.f64 -8 (pow.f64 (log.f64 1/2) 2))) 4/3) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 -4 (/.f64 (log.f64 1/2) (pow.f64 x 2)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 2) (fma.f64 1/2 x (log.f64 1/2))) (/.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2))))
(+.f64 (/.f64 (pow.f64 (.f64 1/2 x) 2) (fma.f64 1/2 x (log.f64 1/2))) (.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2))) (/.f64 (pow.f64 (*.f64 1/2 x) 2) (fma.f64 1/2 x (log.f64 1/2))))
(+.f64 (.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))) (/.f64 (pow.f64 (.f64 1/2 x) 2) (fma.f64 1/2 x (log.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2))))) 1)
(/.f64 1 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (.f64 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 1/4 (.f64 x x) (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 2) 4))))
(/.f64 1 (/.f64 (.f64 (fma.f64 1/2 x (log.f64 1/2)) (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/4 (.f64 x x) (pow.f64 (log.f64 2) 2))))) (-.f64 (pow.f64 (pow.f64 (*.f64 1/2 x) 2) 3) (pow.f64 (log.f64 2) 6))))
(/.f64 1 (.f64 (fma.f64 1/2 x (log.f64 1/2)) (/.f64 1 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) (/.f64 1 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2))) 1)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2))) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (sqrt.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2))) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2))) 2) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 2) 4)) (.f64 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 1/4 (*.f64 x x) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 2) 4)) (.f64 (fma.f64 1/4 (*.f64 x x) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 2) 4)) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (/.f64 1 (fma.f64 1/4 (.f64 x x) (pow.f64 (log.f64 2) 2)))))
(/.f64 (fma.f64 1/4 (.f64 x x) (pow.f64 (log.f64 2) 2)) (/.f64 (.f64 (fma.f64 1/2 x (log.f64 1/2)) (fma.f64 1/4 (.f64 x x) (pow.f64 (log.f64 2) 2))) (-.f64 (pow.f64 (.f64 1/2 x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 1/2 x) 2) 3) (pow.f64 (log.f64 2) 6)) (.f64 (fma.f64 1/2 x (log.f64 1/2)) (+.f64 (.f64 (pow.f64 x 4) 1/16) (.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/4 (*.f64 x x) (pow.f64 (log.f64 2) 2))))))
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(/.f64 1 (neg.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) 1)
(/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))) (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 -1 (neg.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2))))))
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2))) (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))))
(/.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2) 1) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)) 1) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)) -1) (cbrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2)) (sqrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2))) (cbrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2) 1) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))))) (sqrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2)))) (neg.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2)) (neg.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2))))) (sqrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))) (cbrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))) (cbrt.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2))) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)) 1) (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)) (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))) (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))) 1)
(*.f64 1 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))
(*.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))) 1)
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))) (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))) 2)) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))))
(pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))) 3)
(pow.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))) 3) 1/3)
(pow.f64 (E.f64) (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))
(pow.f64 (exp.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2)) (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))))

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize33.0ms (0.3%)

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)

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 1/2 x) (log.f64 2))
	0.0b	(/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2)))
✓	6.7b	(.f64 (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))) (.f64 x (.f64 x 1/4)))

Compiler

Compiled 70 to 51 computations (27.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite136.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`associate-*r/`
1168×	`associate-/l*`
986×	`associate-*l/`
836×	`associate-/r*`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	311	44
2	3852	44

Stop Event

1×	node limit

Counts

2 → 307

Calls

Call 1

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

Outputs

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

simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1388×	`associate-/r*`
1284×	`associate-/l/`
1216×	`associate-/r/`
986×	`associate-r`
802×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	817	16625
1	2093	16481

Stop Event

1×	node limit

Counts

331 → 527

Calls

Call 1

Inputs
(*.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (*.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3))))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(*.f64 -1 (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.f64 (.f64 x 1/4) (fma.f64 1/2 x (log.f64 1/2)))))) 1)
(/.f64 1 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 x (.f64 x 1/4))))
(/.f64 1/2 (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (*.f64 1/2 x)) x))
(/.f64 1/2 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 x (.f64 1/2 x))))
(/.f64 x (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (*.f64 x 1/4)))
(/.f64 x (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (*.f64 1/2 x)) 1/2))
(/.f64 x (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 1/2 (.f64 1/2 x))))
(/.f64 (.f64 1/2 x) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 1/2 x)))
(/.f64 1/4 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (*.f64 x x)))
(/.f64 1/4 (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) x) x))
(/.f64 (*.f64 x 1/4) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) x))
(/.f64 (.f64 x (.f64 x 1/4)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (.f64 x (.f64 x 1/4)) (neg.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (.f64 x (/.f64 (.f64 x 1/4) (fma.f64 1/2 x (log.f64 1/2)))) 1)
(/.f64 (sqrt.f64 (.f64 1/2 x)) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (.f64 1/2 x)) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 (sqrt.f64 (.f64 1/2 x)) (.f64 1/2 x))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (*.f64 x 1/4)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 1/2 x)) (sqrt.f64 (.f64 x 1/4))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) x) (*.f64 (sqrt.f64 x) 1/4)))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 (sqrt.f64 x) (.f64 x 1/4))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) 1/4) (*.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 (.f64 x 1/4)) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (.f64 x 1/4)) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) x) (sqrt.f64 (.f64 x 1/4))))
(/.f64 (sqrt.f64 (.f64 x 1/4)) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 (sqrt.f64 (*.f64 x 1/4)) x)))
(/.f64 (cbrt.f64 (.f64 1/2 x)) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 1/2 x)) (cbrt.f64 (.f64 x (.f64 x 1/4)))))
(/.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) 2)))
(/.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 1/2 x)) (cbrt.f64 (.f64 1/2 x))))
(/.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (.f64 (cbrt.f64 (.f64 1/2 x)) (*.f64 1/2 x))))
(/.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (cbrt.f64 (.f64 x (.f64 x 1/4)))) (cbrt.f64 (.f64 x (.f64 x 1/4)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) 2) (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (cbrt.f64 (.f64 x (.f64 x 1/4)))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 1/2 x (log.f64 1/2)) (*.f64 x 1/4)) (pow.f64 (cbrt.f64 x) 2)))
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(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 1/2 x))) (/.f64 1 (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (log.f64 2)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 1/2) (log.f64 1/2))) (-.f64 (.f64 1/2 x) (log.f64 1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 1/2) 3)) (-.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 1/2) (log.f64 1/2))) (.f64 (.f64 1/2 x) (log.f64 1/2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 1) (fma.f64 1/2 x (log.f64 2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 1) (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2))
(/.f64 (*.f64 (neg.f64 (fma.f64 1/2 x (log.f64 1/2))) 1) -1)
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (neg.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 1/2) (log.f64 1/2)))) (-.f64 (*.f64 1/2 x) (log.f64 1/2)))
(/.f64 (.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 1/2) 3))) (-.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 1/2) (log.f64 1/2))) (.f64 (*.f64 1/2 x) (log.f64 1/2))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1) (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) 1) (neg.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 1/2) (log.f64 1/2))) 1) (-.f64 (*.f64 1/2 x) (log.f64 1/2)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 1/2) 3)) 1) (-.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 1/2) (log.f64 1/2))) (.f64 (*.f64 1/2 x) (log.f64 1/2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2)))) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2)) (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 2) (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) (+.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (fma.f64 1/2 x (log.f64 2)))) (+.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 2) (+.f64 (.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 3) (.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))) (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/8) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))) (+.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 3) (+.f64 (.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))))
(/.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2)) (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) (fma.f64 1/2 x (log.f64 2)))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) -1)) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 1) (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))))))
(/.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))) (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 2))
(log.f64 (.f64 (exp.f64 (.f64 1/2 x)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 1/2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 1/2))))
(fma.f64 1 (*.f64 1/2 x) (log.f64 1/2))
(fma.f64 1/2 x (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 1/2))

Outputs
(*.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2)))
(.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))
(fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))))
(fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (/.f64 (.f64 -1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 2)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (*.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3)))))
(fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3)))))
(fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (/.f64 (.f64 -1/16 (pow.f64 x 4)) (pow.f64 (log.f64 2) 3))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2))) (.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3))))))
(fma.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4)) (fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (.f64 -1/16 (/.f64 (pow.f64 x 4) (pow.f64 (log.f64 2) 3))))))
(fma.f64 -1/32 (/.f64 (pow.f64 x 5) (pow.f64 (log.f64 2) 4)) (fma.f64 -1/4 (/.f64 (.f64 x x) (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 2)) (/.f64 (.f64 -1/16 (pow.f64 x 4)) (pow.f64 (log.f64 2) 3)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (fma.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))) (fma.f64 1/2 x (log.f64 2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))))
(+.f64 (fma.f64 4 (/.f64 (pow.f64 (log.f64 2) 3) (.f64 x x)) (.f64 2 (/.f64 (pow.f64 (log.f64 2) 2) x))) (fma.f64 1/2 x (log.f64 2)))
(*.f64 -1 (log.f64 2))
(neg.f64 (log.f64 2))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
(+.f64 (.f64 1/2 x) (.f64 -1 (log.f64 2)))
(fma.f64 1/2 x (neg.f64 (log.f64 2)))
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(/.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/4) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))) (sqrt.f64 (fma.f64 x (.f64 x 1/4) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))) (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/4) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/4) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (fma.f64 x (.f64 x 1/4) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))))
(/.f64 (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (cbrt.f64 (fma.f64 x (.f64 x 1/4) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))) (cbrt.f64 (fma.f64 x (.f64 x 1/4) (.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))) (cbrt.f64 (fma.f64 x (.f64 x 1/4) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2))))))
(pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 1)
(fma.f64 x 1/2 (log.f64 1/2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 2)
(fma.f64 x 1/2 (log.f64 1/2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 1/2))) 3)
(fma.f64 x 1/2 (log.f64 1/2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3) 1/3)
(fma.f64 x 1/2 (log.f64 1/2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 1/2)) 2))
(log.f64 (.f64 (exp.f64 (.f64 1/2 x)) 1/2))
(log.f64 (*.f64 1/2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 1/2)))))
(fma.f64 x 1/2 (log.f64 1/2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 1/2)) 3))
(fma.f64 x 1/2 (log.f64 1/2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 1/2))))
(fma.f64 x 1/2 (log.f64 1/2))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2))))
(fma.f64 x 1/2 (log.f64 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 1/2))) 1))
(fma.f64 x 1/2 (log.f64 1/2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 1/2))))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 1/2 x (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 x 1/2 (log.f64 1/2))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 1/2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 x 1/2)) (log.f64 1/2))

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(expm1.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
	1.0b	(pow.f64 (log.f64 2) 2)
✓	6.6b	(.f64 (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))) (expm1.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
✓	6.8b	(log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))

Compiler

Compiled 121 to 96 computations (20.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
1.0ms	x	@	inf	(log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
0.0ms	x	@	-inf	(log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
0.0ms	x	@	inf	(.f64 (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))) (expm1.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))

rewrite155.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`associate-/r*`
1010×	`associate-/r/`
908×	`associate-/l*`
378×	`add-sqr-sqrt`
364×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	113
1	402	75
2	4930	75

Stop Event

1×	node limit

Counts

3 → 282

Calls

Call 1

Inputs

(log1p.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))

(*.f64 (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))) (expm1.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))

(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))

Outputs

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

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

simplify263.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-/l*`
924×	`associate-/l/`
738×	`associate-r`
682×	`associate-/r*`
530×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	718	22762
1	1932	22188

Stop Event

1×	node limit

Counts

318 → 448

Calls

Call 1

Inputs
(log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)))
(+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 (log.f64 2) 2)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2))) (+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 (log.f64 2) 2))))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2))) (+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 1/192 (/.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/4))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/4)))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/4) (*.f64 -8 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) (pow.f64 x 4))))))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 64/3 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3) (pow.f64 x 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/4) (.f64 -8 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) (pow.f64 x 4)))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/4))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/4)))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/4) (*.f64 -8 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) (pow.f64 x 4))))))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 64/3 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3) (pow.f64 x 6))) (+.f64 (log.f64 1/4) (.f64 -8 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) (pow.f64 x 4)))))))
(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))
(*.f64 -1 (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))) 1)
(.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1)
(.f64 1 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(.f64 (sqrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) (sqrt.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(.f64 (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(pow.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 2))
(log.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 1))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (.f64 x (.f64 x 1/4))) (.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (*.f64 (log.f64 2) (log.f64 1/2))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (.f64 (log.f64 2) (log.f64 1/2))) (.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (.f64 x (*.f64 x 1/4))))
(+.f64 (.f64 (.f64 x (.f64 x 1/4)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))) (.f64 (*.f64 (log.f64 2) (log.f64 1/2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))))
(+.f64 (.f64 (.f64 (log.f64 2) (log.f64 1/2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))) (.f64 (.f64 x (*.f64 x 1/4)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))))
(+.f64 (-.f64 (/.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (fma.f64 x 1/2 (log.f64 1/2))) (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x 1/2)))
(-.f64 (/.f64 x (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (*.f64 x 1/4))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (log.f64 1/2))))
(-.f64 (/.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (fma.f64 x 1/2 (log.f64 1/2))) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))))
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1)
(-.f64 (+.f64 (*.f64 x 1/2) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 1 (/.f64 (.f64 (fma.f64 x 1/2 (log.f64 1/2)) (fma.f64 x (.f64 x 1/4) (pow.f64 (log.f64 2) 2))) (-.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 2) (pow.f64 (log.f64 2) 4))))
(/.f64 1 (/.f64 (.f64 (fma.f64 x 1/2 (log.f64 1/2)) (+.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 2) (.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (.f64 x 1/4) (pow.f64 (log.f64 2) 2))))) (-.f64 (.f64 (pow.f64 (*.f64 x x) 3) 1/64) (pow.f64 (log.f64 2) 6))))
(/.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (/.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(/.f64 (fma.f64 x 1/2 (log.f64 2)) (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (/.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 1/2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 2)))
(/.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (/.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 1/2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))))
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(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/64) (pow.f64 (log.f64 2) 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 2) (.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (.f64 x 1/4) (pow.f64 (log.f64 2) 2))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 2) (.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (.f64 x 1/4) (pow.f64 (log.f64 2) 2))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/4)) 2) (.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (*.f64 x 1/4) (pow.f64 (log.f64 2) 2))))))
(pow.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 2))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) x) x) (pow.f64 2 (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) 3))
(exp.f64 (log.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(fma.f64 x (.f64 x 1/4) (.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (.f64 x 1/4) x (.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 1 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (.f64 x 1/2) (.f64 x 1/2) (*.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) 2) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (.f64 x x) 1/4 (.f64 (log.f64 2) (log.f64 1/2)))

Outputs
(log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)))
(+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 1/4 (/.f64 (.f64 x x) (-.f64 1 (pow.f64 (log.f64 2) 2)))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2))) (+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 (log.f64 2) 2))))))
(fma.f64 -1/32 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2)) (+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 1/4 (/.f64 (.f64 x x) (-.f64 1 (pow.f64 (log.f64 2) 2))))))
(+.f64 (.f64 -1/32 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2))) (+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 1/192 (/.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3))))))
(fma.f64 -1/32 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2)) (+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (fma.f64 1/4 (/.f64 (.f64 x x) (-.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 1/192 (/.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3))))))
(fma.f64 -1/32 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2)) (+.f64 (log.f64 (-.f64 1 (pow.f64 (log.f64 2) 2))) (fma.f64 1/4 (/.f64 (.f64 x x) (-.f64 1 (pow.f64 (log.f64 2) 2))) (/.f64 (.f64 1/192 (pow.f64 x 6)) (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/4))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/4))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/4)))
(fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (*.f64 x x)) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/4)))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/4) (*.f64 -8 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) (pow.f64 x 4))))))
(fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (.f64 x x)) (fma.f64 -2 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/4) (/.f64 (.f64 -8 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (.f64 x x)) (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/4))) (/.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) -8) (pow.f64 x 4)))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 64/3 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3) (pow.f64 x 6))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/4) (.f64 -8 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) (pow.f64 x 4)))))))
(fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (.f64 x x)) (fma.f64 64/3 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3) (pow.f64 x 6)) (fma.f64 -2 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/4) (/.f64 (.f64 -8 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2)) (pow.f64 x 4))))))
(fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (.f64 x x)) (fma.f64 64/3 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3) (pow.f64 x 6)) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/4)) (/.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) -8) (pow.f64 x 4)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/4))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/4))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/4)))
(fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (*.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/4)))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/4) (*.f64 -8 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) (pow.f64 x 4))))))
(fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (.f64 x x)) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (/.f64 (.f64 -8 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2)) (pow.f64 x 4))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/4))) (/.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) -8) (pow.f64 x 4)))
(+.f64 (.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (pow.f64 x 2))) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 64/3 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3) (pow.f64 x 6))) (+.f64 (log.f64 1/4) (.f64 -8 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) (pow.f64 x 4)))))))
(fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (fma.f64 64/3 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3) (pow.f64 x 6)) (+.f64 (log.f64 1/4) (/.f64 (.f64 -8 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2)) (pow.f64 x 4))))))
(fma.f64 4 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (.f64 x x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (fma.f64 64/3 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 3) (pow.f64 x 6)) (+.f64 (log.f64 1/4) (/.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) 2) -8) (pow.f64 x 4))))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 -1 (pow.f64 (log.f64 2) 2))
(neg.f64 (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 -1 (pow.f64 (log.f64 2) 2)) (.f64 1/4 (pow.f64 x 2)))
(-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))) 1)
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1)
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 1 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (sqrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) (sqrt.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 2))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 1)
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 2)
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 3)
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 3) 1/3)
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) 2))
(log.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) 3))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(exp.f64 (.f64 (log.f64 (log1p.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)))) 1))
(log1p.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (.f64 x (.f64 x 1/4))) (.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (*.f64 (log.f64 2) (log.f64 1/2))))
(.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (fma.f64 (log.f64 2) (log.f64 1/2) (.f64 1/4 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (.f64 (log.f64 2) (log.f64 1/2))) (.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (.f64 x (*.f64 x 1/4))))
(.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (fma.f64 (log.f64 2) (log.f64 1/2) (.f64 1/4 (*.f64 x x))))
(+.f64 (.f64 (.f64 x (.f64 x 1/4)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))) (.f64 (*.f64 (log.f64 2) (log.f64 1/2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))))
(.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (fma.f64 (log.f64 2) (log.f64 1/2) (.f64 1/4 (*.f64 x x))))
(+.f64 (.f64 (.f64 (log.f64 2) (log.f64 1/2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))) (.f64 (.f64 x (*.f64 x 1/4)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))))
(.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))) (fma.f64 (log.f64 2) (log.f64 1/2) (.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2))) (fma.f64 x 1/2 (log.f64 1/2))) (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2)))))) 1)
(-.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 1/4 x) 1) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2))) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(fma.f64 x 1/2 (log.f64 2))
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(fma.f64 1 (.f64 x (.f64 x 1/4)) (*.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (log.f64 2) (log.f64 1/2) (.f64 1/4 (.f64 x x)))
(fma.f64 (.f64 x 1/2) (.f64 x 1/2) (*.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) 2) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (.f64 x x) 1/4 (.f64 (log.f64 2) (log.f64 1/2)))
(fma.f64 (log.f64 2) (log.f64 1/2) (.f64 1/4 (.f64 x x)))

eval1.6s (12.6%)

Compiler: Compiled 55008 to 42391 computations (22.9% saved)

prune716.0ms (5.8%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1645	8	1653
Fresh	0	0	0
Picked	1	0	1
Done	1	8	9
Total	1647	16	1663

Error

0.2b

Counts

1663 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	55.6b	(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
	57.1b	(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 1/2 y))
	46.1b	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	47.7b	(-.f64 (.f64 (/.f64 2 x) (.f64 x (.f64 x 1/4))) (.f64 x y))
✓	48.0b	(-.f64 (.f64 (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))) (.f64 x (.f64 x 1/4))) (*.f64 x y))
	8.1b	(-.f64 (.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))))) (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (*.f64 x y))
	43.5b	(-.f64 (.f64 (log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 1/2))))) (.f64 x (.f64 x 1/4))) (.f64 x y))
✓	0.3b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	6.2b	(-.f64 (log.f64 2) (*.f64 x y))
	61.4b	(-.f64 (exp.f64 (log.f64 (.f64 x (/.f64 (.f64 x 1/4) (fma.f64 1/2 x (log.f64 1/2)))))) (*.f64 x y))
✓	11.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	27.3b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	46.1b	(*.f64 (-.f64 1/2 y) x)
✓	36.0b	(*.f64 y (neg.f64 x))
	61.8b	(*.f64 1/2 x)
✓	27.4b	(log.f64 2)

Compiler

Compiled 196 to 148 computations (24.5% saved)

regimes44.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
13.0ms	y
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 367 to 259 computations (29.4% saved)

regimes36.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	x
7.0ms	y

Results

Error	Segments	Branch
0.6b	2	`x`
6.2b	1	`y`

Compiler

Compiled 112 to 73 computations (34.8% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-21.833515925605667	-5.464552412516016e-10

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

regimes29.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

19.0ms	x
8.0ms	y

Results

Error	Segments	Branch
0.9b	2	`x`
6.2b	1	`y`

Compiler

Compiled 76 to 49 computations (35.5% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	-66.55534288990108	-21.833515925605667

Results

10.0ms

80×

body

256

valid

Compiler

Compiled 96 to 72 computations (25% saved)

regimes86.0ms (0.7%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	y
25.0ms	x

Results

Error	Segments	Branch
10.2b	2	`x`
17.0b	7	`y`

Compiler

Compiled 70 to 46 computations (34.3% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
4.0ms	-2.4166310405463207e-36	-2.1677506202089963e-36

Results

4.0ms

32×

body

256

valid

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes65.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	y
24.0ms	x

Results

Error	Segments	Branch
10.4b	2	`x`
18.1b	5	`y`

Compiler

Compiled 64 to 41 computations (35.9% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
4.0ms	-2.4166310405463207e-36	-2.1677506202089963e-36

Results

4.0ms

32×

body

256

valid

Compiler

Compiled 40 to 32 computations (20% saved)

regimes21.0ms (0.2%)

Accuracy

Total -26.7b remaining (-74.4%)

Threshold costs -26.7b (-74.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	y
5.0ms	x

Results

Error	Segments	Branch
36.0b	1	`x`
36.0b	1	`y`

Compiler

Compiled 62 to 39 computations (37.1% 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	35	181
1	50	181
2	61	181
3	66	181
4	68	181

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -30) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3591786423904427/1496577676626844588240573268701473812127674924007424) (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -6884257312483485/2993155353253689176481146537402947624255349848014848) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -30) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -30) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3591786423904427/1496577676626844588240573268701473812127674924007424) (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -3591786423904427/1496577676626844588240573268701473812127674924007424) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -3591786423904427/1496577676626844588240573268701473812127674924007424) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -6884257312483485/2993155353253689176481146537402947624255349848014848) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -6884257312483485/2993155353253689176481146537402947624255349848014848) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 82 to 59 computations (28% saved)

soundness195.0ms (1.6%)

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)

end45.0ms (0.4%)

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

Details

analyze128.0ms (1%)

sample4.8s (38.7%)

preprocess85.0ms (0.7%)

simplify77.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series41.0ms (0.3%)

rewrite46.0ms (0.4%)

simplify63.0ms (0.5%)

eval9.0ms (0.1%)

prune6.0ms (0%)

localize9.0ms (0.1%)

series4.0ms (0%)

rewrite65.0ms (0.5%)

simplify65.0ms (0.5%)

localize15.0ms (0.1%)

series2.0ms (0%)

rewrite107.0ms (0.9%)

simplify134.0ms (1.1%)

eval201.0ms (1.6%)

prune77.0ms (0.6%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite82.0ms (0.7%)

simplify101.0ms (0.8%)

localize4.0ms (0%)

localize3.0ms (0%)

localize43.0ms (0.3%)

series4.0ms (0%)

rewrite123.0ms (1%)

simplify166.0ms (1.3%)

localize109.0ms (0.9%)

series7.0ms (0.1%)

rewrite112.0ms (0.9%)

simplify123.0ms (1%)

eval1.1s (9.1%)

prune347.0ms (2.8%)

localize87.0ms (0.7%)

series4.0ms (0%)

rewrite110.0ms (0.9%)

simplify183.0ms (1.5%)

localize5.0ms (0%)

localize33.0ms (0.3%)

localize30.0ms (0.2%)

series1.0ms (0%)

rewrite136.0ms (1.1%)

simplify148.0ms (1.2%)

localize64.0ms (0.5%)

series2.0ms (0%)

rewrite155.0ms (1.3%)

simplify263.0ms (2.1%)

eval1.6s (12.6%)

prune716.0ms (5.8%)

regimes44.0ms (0.4%)

regimes36.0ms (0.3%)

bsearch21.0ms (0.2%)

regimes29.0ms (0.2%)

bsearch11.0ms (0.1%)

regimes86.0ms (0.7%)

bsearch4.0ms (0%)

regimes65.0ms (0.5%)

bsearch4.0ms (0%)

regimes21.0ms (0.2%)

simplify10.0ms (0.1%)

soundness195.0ms (1.6%)

end45.0ms (0.4%)

Profiling