Metrics for Logistic regression 2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample2.9s (34%)

Results

1.6s	2168×	body	8192	exit
945.0ms	6921×	body	256	valid
126.0ms	943×	body	256	infinite
83.0ms	195×	body	1024	valid
68.0ms	196×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess90.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1536×	`times-frac`
1354×	`fma-def`
800×	`fma-neg`
720×	`fabs-mul`
544×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	92
1	61	88
2	94	80
3	211	80
4	365	80
5	607	80
6	1137	80
7	2603	80
8	5620	80
9	7751	80

Stop Event

1×	node limit

Calls

Call 1

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1340×	`fma-def`
786×	`fabs-mul`
740×	`associate-l`
738×	`times-frac`
592×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21

Stop Event

1×	node limit

Counts

1 → 3

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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 25 to 12 computations (52% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize54.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series50.0ms (0.6%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
18.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
4.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
4.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2.0ms	x	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite123.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`prod-diff`
1038×	`log-prod`
656×	`pow-prod-down`
542×	`fma-def`
516×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	250	52
2	3397	52

Stop Event

1×	node limit

Counts

4 → 367

Calls

Call 1

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

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

simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1202×	`fma-neg`
812×	`unswap-sqr`
596×	`distribute-lft-neg-in`
570×	`fma-def`
568×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	9877
1	1258	9639
2	3648	9489

Stop Event

1×	node limit

Counts

439 → 259

Calls

Call 1

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

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

eval75.0ms (0.9%)

Compiler: Compiled 6002 to 1997 computations (66.7% saved)

prune53.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	293	6	299
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	295	6	301

Accurracy

100.0%

Counts

301 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	99.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
▶	83.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	53.4%	(*.f64 y (neg.f64 x))
▶	52.4%	(log1p.f64 (exp.f64 x))
▶	46.4%	(log.f64 2)
	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	99.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
▶	83.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	53.4%	(*.f64 y (neg.f64 x))
▶	52.4%	(log1p.f64 (exp.f64 x))
▶	46.4%	(log.f64 2)

Compiler

Compiled 192 to 152 computations (20.8% saved)

localize392.0ms (4.6%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 (exp.f64 x))
✓	100.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	98.4%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 86 to 50 computations (41.9% saved)

series57.0ms (0.7%)

Counts

5 → 51

Calls

21 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
13.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
2.0ms	y	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms	x	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

rewrite114.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`fma-def`
710×	`expm1-udef`
706×	`log1p-udef`
564×	`fma-neg`
420×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	101
1	413	81
2	5516	81

Stop Event

1×	node limit

Counts

5 → 290

Calls

Call 1

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

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

simplify150.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-neg`
816×	`times-frac`
592×	`log-prod`
490×	`associate-r`
458×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	626	12973
1	1500	9453
2	4844	9167

Stop Event

1×	node limit

Counts

341 → 376

Calls

Call 1

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

Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 2) 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/16 (*.f64 x x) (/.f64 x 4)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2))))))
(fma.f64 1/6 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (fma.f64 3 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)) (/.f64 (.f64 -3/2 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 3)) (+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x))))))
(+.f64 (fma.f64 1/16 (.f64 x x) (/.f64 x 4)) (fma.f64 (.f64 1/6 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) (pow.f64 x 3) (log.f64 (sqrt.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (.f64 (.f64 1/8 x) x)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x) (.f64 1/3 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (.f64 x x) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x (.f64 (.f64 1/3 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (fma.f64 3 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2)) (/.f64 (*.f64 -3/2 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3)))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 (.f64 x x) 1/8 (fma.f64 (.f64 (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) 1/3) (pow.f64 x 3) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y x)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (/.f64 7/192 (/.f64 (sqrt.f64 2) (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 0 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(.f64 1 (.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
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(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 1 (/.f64 (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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 1 (/.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (-.f64 1/2 y) (.f64 x (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (neg.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 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1/2 y)))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1/2 y))))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval335.0ms (4%)

Compiler: Compiled 7787 to 3895 computations (50% saved)

prune81.0ms (1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	411	5	416
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	412	10	422

Accurracy

100.0%

Counts

422 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	65.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (.f64 x y))
▶	90.4%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	83.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	46.5%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	38.6%	(*.f64 (-.f64 1/2 y) x)
✓	53.4%	(*.f64 y (neg.f64 x))
▶	45.7%	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	52.4%	(log1p.f64 (exp.f64 x))
✓	46.4%	(log.f64 2)
▶	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	65.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (.f64 x y))
▶	90.4%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	83.0%	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	46.5%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	38.6%	(*.f64 (-.f64 1/2 y) x)
✓	53.4%	(*.f64 y (neg.f64 x))
▶	45.7%	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	52.4%	(log1p.f64 (exp.f64 x))
✓	46.4%	(log.f64 2)

Compiler

Compiled 270 to 220 computations (18.5% saved)

localize123.0ms (1.4%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	98.4%	(log.f64 (sqrt.f64 2))
✓	100.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.4%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 80 to 60 computations (25% saved)

series7.0ms (0.1%)

Counts

5 → 51

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	x	@	inf	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.0ms	x	@	-inf	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.0ms	x	@	0	(+.f64 (*.f64 1/2 x) (log.f64 2))

rewrite107.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`log-prod`
1556×	`fma-def`
670×	`expm1-udef`
666×	`log1p-udef`
564×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	393	67
2	5298	67

Stop Event

1×	node limit

Counts

5 → 276

Calls

Call 1

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

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

simplify131.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg`
754×	`associate-+r+`
752×	`cancel-sign-sub-inv`
478×	`log-prod`
446×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	10371
1	1090	8821
2	3421	7171

Stop Event

1×	node limit

Counts

327 → 307

Calls

Call 1

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

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

eval108.0ms (1.3%)

Compiler: Compiled 5189 to 3212 computations (38.1% saved)

prune62.0ms (0.7%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	328	5	333
Fresh	1	0	1
Picked	2	3	5
Done	1	3	4
Total	332	11	343

Accurracy

100.0%

Counts

343 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(fma.f64 (neg.f64 y) x (log.f64 2))
▶	91.1%	(-.f64 (log.f64 2) (*.f64 y x))
✓	46.5%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	38.6%	(*.f64 (-.f64 1/2 y) x)
✓	53.4%	(*.f64 y (neg.f64 x))
▶	3.8%	(*.f64 x 1/2)
✓	45.7%	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	52.4%	(log1p.f64 (exp.f64 x))
▶	54.5%	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) 2))
▶	62.8%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
✓	46.4%	(log.f64 2)
▶	91.1%	(fma.f64 (neg.f64 y) x (log.f64 2))
▶	91.1%	(-.f64 (log.f64 2) (*.f64 y x))
✓	46.5%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	38.6%	(*.f64 (-.f64 1/2 y) x)
✓	53.4%	(*.f64 y (neg.f64 x))
▶	3.8%	(*.f64 x 1/2)
✓	45.7%	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	52.4%	(log1p.f64 (exp.f64 x))
▶	54.5%	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) 2))
▶	62.8%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
✓	46.4%	(log.f64 2)

Compiler

Compiled 242 to 198 computations (18.2% saved)

localize858.0ms (10.1%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) 2))
✓	99.9%	(+.f64 1 (expm1.f64 (*.f64 x 1/2)))
✓	98.9%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 y x))
✓	100.0%	(fma.f64 (neg.f64 y) x (log.f64 2))

Compiler

Compiled 98 to 56 computations (42.9% saved)

series141.0ms (1.7%)

Counts

5 → 96

Calls

24 calls:

Time	Variable		Point	Expression
53.0ms	y	@	-inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
26.0ms	x	@	inf	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) 2))
16.0ms	x	@	inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
13.0ms	y	@	inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
13.0ms	x	@	-inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))

rewrite133.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`log-prod`
990×	`fma-def`
650×	`expm1-udef`
646×	`log1p-udef`
456×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	95
1	463	67
2	5567	63

Stop Event

1×	node limit

Counts

5 → 321

Calls

Call 1

Inputs
(fma.f64 (neg.f64 y) x (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
(+.f64 1 (expm1.f64 (*.f64 x 1/2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) 2))

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

simplify132.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-+r+`
680×	`associate-+l+`
514×	`log-prod`
508×	`fma-neg`
410×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	10057
1	1014	9505
2	3368	8879

Stop Event

1×	node limit

Counts

417 → 247

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -1 (pow.f64 y 3)) (+.f64 (.f64 3 (pow.f64 y 3)) (.f64 -2 (pow.f64 y 3)))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (pow.f64 y 2)) (pow.f64 y 2)) (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)))) (.f64 -1 (*.f64 y x))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (+.f64 (.f64 3 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -2 (pow.f64 x 3)))))) (.f64 -1 (.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
(log.f64 (.f64 2 (exp.f64 (.f64 -1 (*.f64 y x)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 1/2 x))
(exp.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 (*.f64 1/2 x) (log.f64 2))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(log.f64 (.f64 2 (exp.f64 (.f64 1/2 x))))
(+.f64 (log1p.f64 1) (*.f64 y x))
(+.f64 (*.f64 y x) (log1p.f64 1))
(+.f64 (fma.f64 y x (log1p.f64 1)) 0)
(+.f64 (fma.f64 y x (log1p.f64 1)) (fma.f64 y x (*.f64 y x)))
(+.f64 (fma.f64 y x (log1p.f64 1)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 y x (log1p.f64 1))))
(*.f64 (pow.f64 (fma.f64 y x (log1p.f64 1)) 2) (/.f64 1 (fma.f64 y x (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 1))) (sqrt.f64 (fma.f64 y x (log1p.f64 1))))
(.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (*.f64 y x) (fma.f64 y x (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (.f64 y x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 y x))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)) (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))))
(/.f64 1 (/.f64 (fma.f64 y x (log1p.f64 1)) (pow.f64 (fma.f64 y x (log1p.f64 1)) 2)))
(/.f64 (pow.f64 (fma.f64 y x (log1p.f64 1)) 2) (fma.f64 y x (log1p.f64 1)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (log1p.f64 1) y) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3))) (neg.f64 (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y x (log1p.f64 1)) 2)) (neg.f64 (fma.f64 y x (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 (log1p.f64 1) y) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (log1p.f64 1) 2)) (fma.f64 y x (neg.f64 (log1p.f64 1))))
(pow.f64 (fma.f64 y x (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 y x (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y x (log1p.f64 1)) 2))
(cbrt.f64 (pow.f64 (fma.f64 y x (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x (log1p.f64 1))))
(hypot.f64 (log1p.f64 1) (*.f64 y x))
(exp.f64 (log.f64 (fma.f64 y x (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y x (log1p.f64 1))))
(fma.f64 y x (log1p.f64 1))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 x y (log1p.f64 1))
(fma.f64 (log1p.f64 1) 1 (*.f64 y x))
(fma.f64 (*.f64 y x) 1 (log1p.f64 1))
(fma.f64 (fma.f64 y x (log1p.f64 1)) 1 (fma.f64 y x (*.f64 y x)))
(fma.f64 (fma.f64 y x (log1p.f64 1)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
(fma.f64 1 (log1p.f64 1) (*.f64 y x))
(fma.f64 1 (*.f64 y x) (log1p.f64 1))
(fma.f64 1 (fma.f64 y x (log1p.f64 1)) (fma.f64 y x (*.f64 y x)))
(fma.f64 1 (fma.f64 y x (log1p.f64 1)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (log1p.f64 1))
(fma.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (neg.f64 (cbrt.f64 (.f64 y x))) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 y x))
(fma.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 1))) 2) (fma.f64 y x (*.f64 y x)))
(fma.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 1))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 y x (log1p.f64 1))) (fma.f64 y x (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 y x (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (log1p.f64 1))
(fma.f64 (pow.f64 (fma.f64 y x (log1p.f64 1)) 2) (/.f64 1 (fma.f64 y x (log1p.f64 1))) (fma.f64 y x (*.f64 y x)))
(fma.f64 (pow.f64 (fma.f64 y x (log1p.f64 1)) 2) (/.f64 1 (fma.f64 y x (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (log1p.f64 1))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (.f64 y x)) (neg.f64 (sqrt.f64 (.f64 y x))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 y x))
(fma.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 1))) (sqrt.f64 (fma.f64 y x (log1p.f64 1))) (fma.f64 y x (*.f64 y x)))
(fma.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 1))) (sqrt.f64 (fma.f64 y x (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (log1p.f64 1))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 y x (*.f64 y x)))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 y x) (fma.f64 y x (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
(fma.f64 -1 (*.f64 y x) (log1p.f64 1))
(fma.f64 (neg.f64 x) y (log1p.f64 1))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (.f64 y x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (.f64 y x))) (fma.f64 y x (*.f64 y x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (.f64 y x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 y x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (cbrt.f64 (.f64 y x)) (log1p.f64 1))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 1))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 1))
(fma.f64 (*.f64 x -1) y (log1p.f64 1))
(-.f64 (pow.f64 (exp.f64 1/2) x) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 1/2) x))) 1)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 1/2) x)) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (.f64 x 1/2)))) (/.f64 (pow.f64 (expm1.f64 (.f64 x 1/2)) 2) (-.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(*.f64 1 (pow.f64 (exp.f64 1/2) x))
(*.f64 (pow.f64 (exp.f64 1/2) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (pow.f64 (exp.f64 1/2) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x)) (sqrt.f64 (pow.f64 (exp.f64 1/2) x)))
(.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (.f64 x 1/2)) (-.f64 (expm1.f64 (.f64 x 1/2)) 1) 1)))
(.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (fma.f64 (expm1.f64 (.f64 x 1/2)) (-.f64 (expm1.f64 (.f64 x 1/2)) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (.f64 x 1/2))) (-.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 3)) (fma.f64 (expm1.f64 (.f64 x 1/2)) (-.f64 (expm1.f64 (*.f64 x 1/2)) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 3)) (+.f64 (pow.f64 (expm1.f64 (.f64 x 1/2)) 2) (-.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 2)) (-.f64 1 (expm1.f64 (.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 3))) (neg.f64 (fma.f64 (expm1.f64 (.f64 x 1/2)) (-.f64 (expm1.f64 (*.f64 x 1/2)) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (.f64 x 1/2)) 2) 1) (-.f64 (expm1.f64 (.f64 x 1/2)) 1))
(pow.f64 (pow.f64 (exp.f64 1/2) x) 1)
(pow.f64 (exp.f64 1/2) x)
(pow.f64 (exp.f64 x) 1/2)
(pow.f64 (E.f64) (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 x 1/2)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/4 (.f64 x x)))) (cbrt.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 1/2) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 1/2) x)))
(exp.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 1/2) x)))
(fma.f64 1 (expm1.f64 (*.f64 x 1/2)) 1)
(fma.f64 1 (pow.f64 (exp.f64 1/2) x) 0)
(fma.f64 (expm1.f64 (*.f64 x 1/2)) 1 1)
(fma.f64 (pow.f64 (exp.f64 1/2) x) 1 0)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) 0)
(fma.f64 (cbrt.f64 (expm1.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 1/2))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 1/2))) 2) (cbrt.f64 (expm1.f64 (.f64 x 1/2))) 1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x)) (sqrt.f64 (pow.f64 (exp.f64 1/2) x)) 0)
(fma.f64 (sqrt.f64 (expm1.f64 (.f64 x 1/2))) (sqrt.f64 (expm1.f64 (.f64 x 1/2))) 1)
(fma.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 3)) (/.f64 1 (fma.f64 (expm1.f64 (.f64 x 1/2)) (-.f64 (expm1.f64 (*.f64 x 1/2)) 1) 1)) 0)
(fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (.f64 x 1/2)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (.f64 x 1/2)))) 0)
(+.f64 (log1p.f64 1) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log1p.f64 1))
(+.f64 (fma.f64 x 1/2 (log1p.f64 1)) 0)
(+.f64 0 (fma.f64 x 1/2 (log1p.f64 1)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2))) (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x)) 2)))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (sqrt.f64 (.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(+.f64 (log.f64 (cbrt.f64 (.f64 2 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2) 4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x)) 2)))
(+.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2) 4))) (log.f64 (cbrt.f64 (.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(+.f64 (log.f64 (*.f64 2 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) x))))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 (pow.f64 (exp.f64 1/2) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 1/4 (.f64 x x) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x 1/2) (log1p.f64 1)))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x 1/2 (neg.f64 (log1p.f64 1))))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 (log1p.f64 1) 1 (*.f64 x 1/2))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (*.f64 x 1/2) 1 (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 1/4 (*.f64 x x))) (log1p.f64 1))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log1p.f64 1))

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

eval81.0ms (1%)

Compiler: Compiled 3412 to 2388 computations (30% saved)

prune63.0ms (0.7%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	0	0	0
Picked	1	4	5
Done	0	6	6
Total	247	11	258

Accurracy

100.0%

Counts

258 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.1%	(fma.f64 (neg.f64 y) x (log.f64 2))
✓	91.1%	(-.f64 (log.f64 2) (*.f64 y x))
✓	46.5%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	38.6%	(*.f64 (-.f64 1/2 y) x)
✓	53.4%	(*.f64 y (neg.f64 x))
✓	3.8%	(*.f64 x 1/2)
✓	45.7%	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	52.4%	(log1p.f64 (exp.f64 x))
	45.3%	(log.f64 (.f64 (+.f64 (.f64 1/2 x) 1) 2))
✓	62.8%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
✓	46.4%	(log.f64 2)

Compiler

Compiled 215 to 153 computations (28.8% saved)

regimes32.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Calls

3 calls:

13.0ms	x
9.0ms	y
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 154 to 101 computations (34.4% saved)

regimes28.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
9.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 135 to 93 computations (31.1% saved)

regimes50.0ms (0.6%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
98.2%	2	`x`
91.1%	1	`y`

Compiler

Compiled 64 to 48 computations (25% saved)

regimes12.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.0%	2	`x`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes91.0ms (1.1%)

Counts

5 → 3

Calls

Call 1

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

Calls

2 calls:

78.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
75.4%	7	`y`
84.6%	3	`x`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes55.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

54.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
53.4%	1	`y`
53.4%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
3.8%	1	`y`
3.8%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.9042455990528648	-0.0003929472421617265

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch32.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-1792000389.9068146	-150.23493061503459

Results

12.0ms	90×	body	256	valid
9.0ms	34×	body	512	valid
7.0ms	15×	body	1024	valid
2.0ms	2×	body	2048	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.044697036403601606	0.158834820065442
17.0ms	-1.5532626303378048e-45	-4.6160642747753814e-48

Results

24.0ms

208×

body

256

valid

Compiler

Compiled 229 to 186 computations (18.8% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7.718300206436578e-17	1.3395733029007202e-10
17.0ms	-1.5532626303378048e-45	-4.6160642747753814e-48

Results

33.0ms

272×

body

256

valid

Compiler

Compiled 229 to 191 computations (16.6% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	246
1	67	246
2	78	246
3	82	246
4	83	246

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.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 -160) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -8484632873687469/6427752177035961102167848369364650410088811975131171341205504) (.f64 y (neg.f64 x)) (if (<=.f64 x 3242591731706757/72057594037927936) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8677465438998547/6427752177035961102167848369364650410088811975131171341205504) (.f64 y (neg.f64 x)) (if (<=.f64 x 215500602038799/1267650600228229401496703205376) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.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 -160) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 y x)))
(if (<=.f64 x -160) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -160) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8484632873687469/6427752177035961102167848369364650410088811975131171341205504) (.f64 y (neg.f64 x)) (if (<=.f64 x 3242591731706757/72057594037927936) (+.f64 (.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8484632873687469/6427752177035961102167848369364650410088811975131171341205504) (.f64 y (neg.f64 x)) (if (<=.f64 x 3242591731706757/72057594037927936) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8484632873687469/6427752177035961102167848369364650410088811975131171341205504) (.f64 x (neg.f64 y)) (if (<=.f64 x 3242591731706757/72057594037927936) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8677465438998547/6427752177035961102167848369364650410088811975131171341205504) (.f64 y (neg.f64 x)) (if (<=.f64 x 215500602038799/1267650600228229401496703205376) (log.f64 2) (.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8677465438998547/6427752177035961102167848369364650410088811975131171341205504) (.f64 y (neg.f64 x)) (if (<=.f64 x 215500602038799/1267650600228229401496703205376) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8677465438998547/6427752177035961102167848369364650410088811975131171341205504) (.f64 x (neg.f64 y)) (if (<=.f64 x 215500602038799/1267650600228229401496703205376) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Compiler

Compiled 109 to 77 computations (29.4% saved)

soundness1.3s (15.7%)

Rules

1856×	`prod-diff`
1770×	`log-prod`
1556×	`fma-def`
1340×	`fma-def`
1340×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21
0	11	21
1	21	21
2	32	21
3	50	21
4	69	21
5	103	21
6	157	21
7	208	21
8	276	21
9	354	21
10	410	21
11	437	21
12	516	21
13	740	21
14	1658	21
15	4795	21
16	5775	21
17	7265	21
0	485	10371
1	1090	8821
2	3421	7171
0	520	9877
1	1258	9639
2	3648	9489
0	12	60
1	250	52
2	3397	52
0	520	9877
1	1258	9639
2	3648	9489
0	18	77
1	393	67
2	5298	67
0	485	10371
1	1090	8821
2	3421	7171

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 592 to 299 computations (49.5% saved)

end0.0ms (0%)

preprocess90.0ms (1.1%)

Compiler: Compiled 268 to 158 computations (41% saved)

analyze0.0ms (0%)

sample2.9s (34%)

preprocess90.0ms (1.1%)

simplify86.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize54.0ms (0.6%)

series50.0ms (0.6%)

rewrite123.0ms (1.5%)

simplify151.0ms (1.8%)

eval75.0ms (0.9%)

prune53.0ms (0.6%)

localize392.0ms (4.6%)

series57.0ms (0.7%)

rewrite114.0ms (1.3%)

simplify150.0ms (1.8%)

eval335.0ms (4%)

prune81.0ms (1%)

localize123.0ms (1.4%)

series7.0ms (0.1%)

rewrite107.0ms (1.3%)

simplify131.0ms (1.5%)

eval108.0ms (1.3%)

prune62.0ms (0.7%)

localize858.0ms (10.1%)

series141.0ms (1.7%)

rewrite133.0ms (1.6%)

simplify132.0ms (1.6%)

eval81.0ms (1%)

prune63.0ms (0.7%)

regimes32.0ms (0.4%)

regimes28.0ms (0.3%)

regimes50.0ms (0.6%)

regimes12.0ms (0.1%)

regimes91.0ms (1.1%)

regimes55.0ms (0.7%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch32.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch36.0ms (0.4%)

simplify10.0ms (0.1%)

soundness1.3s (15.7%)

end0.0ms (0%)

preprocess90.0ms (1.1%)

Profiling