Metrics for Logistic regression 2

analyze1.0ms (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)

sample4.0s (54.8%)

Results

2.2s	2196×	body	8192	exit
1.3s	6784×	body	256	valid
222.0ms	1023×	body	256	infinite
113.0ms	190×	body	1024	valid
90.0ms	257×	body	512	valid
2.0ms	2×	body	2048	valid

Bogosity

preprocess276.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	113
1	61	109
2	94	101
3	211	101
4	365	101
5	607	101
6	1137	101
7	2603	101
8	5620	101
9	7751	101

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 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 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 40 to 23 computations (42.5% saved)

eval6.0ms (0.1%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize35.0ms (0.5%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series60.0ms (0.8%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
24.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite100.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`pow1`
1780×	`add-exp-log`
1780×	`log1p-expm1-u`
1780×	`expm1-log1p-u`
196×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	187	30
2	2458	30

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-neg`
642×	`unswap-sqr`
638×	`times-frac`
566×	`log-prod`
488×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	2196
1	385	2068
2	1622	2060
3	7039	2060

Stop Event

1×	node limit

Counts

90 → 86

Calls

Call 1

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

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

eval27.0ms (0.4%)

Compiler: Compiled 1240 to 488 computations (60.6% saved)

prune18.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Accuracy

100.0%

Counts

87 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.8%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	84.8%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	80.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
▶	53.9%	(*.f64 y (neg.f64 x))
▶	84.8%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	84.8%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	80.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
▶	53.9%	(*.f64 y (neg.f64 x))

Compiler

Compiled 206 to 156 computations (24.3% saved)

localize134.0ms (1.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	100.0%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
✓	100.0%	(.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y)))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 104 to 67 computations (35.6% saved)

series14.0ms (0.2%)

Counts

6 → 123

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y)))
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y)))
0.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y)))

rewrite129.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`fma-neg`
790×	`expm1-udef`
784×	`log1p-udef`
456×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	120
1	456	116
2	6317	116

Stop Event

1×	node limit

Counts

6 → 189

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

Outputs
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 1) (.f64 (.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 1))
(.f64 (-.f64 (log1p.f64 1) (.f64 x y)) 1)
(.f64 1 (-.f64 (log1p.f64 1) (.f64 x y)))
(.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x y))))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 1) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 1) (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 1) (.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 (log1p.f64 1) (.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 1) (.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 1) (.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(fma.f64 (log1p.f64 1) 1 (*.f64 x (neg.f64 y)))
(fma.f64 1 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (+.f64 y 1/2))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1)))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1))))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 (log1p.f64 1) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 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) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 (-.f64 1/2 y) x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 x (*.f64 x 1/8)))
(+.f64 (.f64 x (.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 (.f64 x (.f64 x 1/8)) 1) (.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 1/8)) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8))) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (.f64 x (.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 x (.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (.f64 x 1/8)))))
(/.f64 (.f64 x (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (fma.f64 x 1/8 -1/2) y))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (.f64 (.f64 x x) 1/64) (.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (.f64 x 1/8)))))
(/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (fma.f64 x 1/8 -1/2) y))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (.f64 x 1/8) (.f64 x (-.f64 1/2 y)))
(fma.f64 (.f64 x 1/8) x (.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (/.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (log1p.f64 1) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log1p.f64 1))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log1p.f64 1)))) (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log1p.f64 1) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (-.f64 (log1p.f64 1) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log1p.f64 1)))
(pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log1p.f64 1))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1)))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1))))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 (log1p.f64 1) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log1p.f64 1))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 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) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))

simplify138.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1520×	`times-frac`
1122×	`fma-neg`
570×	`log-prod`
510×	`fma-def`
488×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	9562
1	974	8786
2	3926	8776

Stop Event

1×	node limit

Counts

312 → 230

Calls

Call 1

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

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

eval103.0ms (1.4%)

Compiler: Compiled 3993 to 2932 computations (26.6% saved)

prune34.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	226	4	230
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	229	7	236

Accuracy

100.0%

Counts

236 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	52.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
▶	47.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	53.9%	(*.f64 y (neg.f64 x))
▶	47.1%	(log.f64 2)
▶	91.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	52.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
▶	47.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	53.9%	(*.f64 y (neg.f64 x))
▶	47.1%	(log.f64 2)

Compiler

Compiled 110 to 86 computations (21.8% saved)

localize179.0ms (2.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	100.0%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))

Compiler

Compiled 64 to 48 computations (25% saved)

series3.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
0.0ms	x	@	0	(fma.f64 x (neg.f64 y) (log.f64 2))
0.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
0.0ms	y	@	inf	(fma.f64 x (neg.f64 y) (log.f64 2))
0.0ms	y	@	0	(fma.f64 x (neg.f64 y) (log.f64 2))

rewrite124.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`log-prod`
1494×	`fma-def`
666×	`expm1-udef`
662×	`log1p-udef`
528×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	82
1	392	62
2	5269	62

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 x 1/2))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(fma.f64 x (neg.f64 y) (log.f64 2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (+.f64 (log1p.f64 1) (.f64 -1/2 x))) (/.f64 (.f64 (.f64 x x) 1/4) (+.f64 (log1p.f64 1) (.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 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))
(*.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 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x x) 1/4)) (/.f64 1 (+.f64 (log1p.f64 1) (.f64 -1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2)) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (.f64 -1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (*.f64 x x) 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (.f64 x x) 1/4 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x x) 1/4)) (+.f64 (log1p.f64 1) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x x) 1/4))) (neg.f64 (+.f64 (log1p.f64 1) (*.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(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))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) 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 (log1p.f64 1) 1 (*.f64 x 1/2))
(fma.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 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/2 (cbrt.f64 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.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 (sqrt.f64 x) (*.f64 (sqrt.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 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(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))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/8)))
(+.f64 (.f64 x 1/2) (.f64 (.f64 x (.f64 x 1/8)) 1))
(+.f64 0 (*.f64 x (fma.f64 x 1/8 1/2)))
(+.f64 (.f64 x (.f64 x 1/8)) (*.f64 x 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x 1/8)) 3)) (fma.f64 (.f64 x x) 1/4 (-.f64 (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8))) (.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/8))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/8))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/512 1/8)) (fma.f64 (.f64 x 1/8) (fma.f64 x 1/8 -1/2) 1/4))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (.f64 x x) 1/64))) (+.f64 1/2 (.f64 -1/8 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/512 1/8) x) (fma.f64 (.f64 x 1/8) (fma.f64 x 1/8 -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/64)) x) (+.f64 1/2 (.f64 -1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (.f64 x (.f64 x 1/8)))))
(log.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 1/8))) (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (.f64 (exp.f64 (.f64 x (.f64 x 1/8))) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/8 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 x 1/2 (.f64 x (.f64 x 1/8)))
(fma.f64 x 1/2 (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 x (.f64 x 1/8) (.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/8)))
(fma.f64 1/2 x (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 (.f64 x 1/2) 1 (.f64 x (*.f64 x 1/8)))
(fma.f64 (.f64 x 1/2) 1 (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 1/8 (.f64 x x) (.f64 x 1/2))
(fma.f64 (.f64 x 1/8) x (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x (*.f64 x 1/8)))
(fma.f64 1 (.f64 x 1/2) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 1 (.f64 x (.f64 x 1/8)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/2 (cbrt.f64 x)) (.f64 x (*.f64 x 1/8)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/2 (cbrt.f64 x)) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/8)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2) (.f64 (.f64 1/2 (cbrt.f64 x)) x) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/8)))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/8)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 (.f64 x x) 1/8 (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x (*.f64 x 1/8)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/8)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/8)) (.f64 (sqrt.f64 (.f64 x 1/8)) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/8)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 1/8))) (cbrt.f64 (.f64 x (.f64 x 1/8)))) (cbrt.f64 (.f64 x (.f64 x 1/8))) (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x 1/8))) (sqrt.f64 (.f64 x (.f64 x 1/8))) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/8))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/8))) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 (.f64 x 1/8)) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x 1/8)) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (*.f64 x 1/8)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x 1/8)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 (.f64 x (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2)) (.f64 1/2 (cbrt.f64 x)) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/8))) (sqrt.f64 (.f64 x 1/8)) (.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/8) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/8) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (fma.f64 x 1/8 1/2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2)) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (.f64 x (fma.f64 x 1/8 1/2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 (log1p.f64 1) x) (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (.f64 x (fma.f64 x 1/8 1/2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 1/8 1/2))))))
(log.f64 (.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)) (exp.f64 (.f64 x (.f64 x 1/8)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))) (exp.f64 (.f64 x (*.f64 x 1/8)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 1/8 1/2)))) 2))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(fma.f64 (log1p.f64 1) 1 (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x 1/2 (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 (.f64 x 1/2) 1 (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1 (.f64 x (.f64 x 1/8)))
(fma.f64 (fma.f64 x 1/8 1/2) x (log1p.f64 1))
(fma.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1 (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (.f64 x 1/2) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 1 (fma.f64 x 1/2 (log1p.f64 1)) (.f64 x (.f64 x 1/8)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) x) (log1p.f64 1))
(fma.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 x (.f64 x 1/8)))
(fma.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 x (.f64 x 1/8)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/2 (cbrt.f64 x)) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (*.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) x) (log1p.f64 1))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (.f64 x (.f64 x 1/8)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))) (.f64 x (*.f64 x 1/8)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x x) 1/4)) (/.f64 1 (+.f64 (log1p.f64 1) (.f64 -1/2 x))) (.f64 x (*.f64 x 1/8)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) 2)) (cbrt.f64 (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/8 1/2))) (sqrt.f64 (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (*.f64 (fma.f64 x 1/8 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 (fma.f64 x 1/8 1/2) (sqrt.f64 x)) (sqrt.f64 x) (log1p.f64 1))
(+.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 1))
(+.f64 0 (fma.f64 x y (log1p.f64 1)))
(+.f64 (.f64 (.f64 x y) 1) (log1p.f64 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1)))) (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1)))) 1)
(*.f64 (fma.f64 x y (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x y (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (.f64 x y) (.f64 x y) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (*.f64 x y) (log1p.f64 1)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (*.f64 x y)) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x y (log.f64 1/2)))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(log.f64 (.f64 2 (exp.f64 (.f64 x y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

806×	`cancel-sign-sub-inv`
750×	`times-frac`
514×	`log-prod`
502×	`distribute-lft-neg-in`
502×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	6412
1	1011	6076
2	3257	5946

Stop Event

1×	node limit

Counts

272 → 276

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (+.f64 (log1p.f64 1) (.f64 -1/2 x))) (/.f64 (.f64 (.f64 x x) 1/4) (+.f64 (log1p.f64 1) (.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 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))
(*.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 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x x) 1/4)) (/.f64 1 (+.f64 (log1p.f64 1) (.f64 -1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2)) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (.f64 -1/2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (*.f64 x x) 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (.f64 x x) 1/4 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x x) 1/4)) (+.f64 (log1p.f64 1) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x x) 1/4))) (neg.f64 (+.f64 (log1p.f64 1) (*.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(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))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) 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 (log1p.f64 1) 1 (*.f64 x 1/2))
(fma.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 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/2 (cbrt.f64 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.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 (sqrt.f64 x) (*.f64 (sqrt.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 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(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))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x 1/8)))
(+.f64 (.f64 x 1/2) (.f64 (.f64 x (.f64 x 1/8)) 1))
(+.f64 0 (*.f64 x (fma.f64 x 1/8 1/2)))
(+.f64 (.f64 x (.f64 x 1/8)) (*.f64 x 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (.f64 x (.f64 x 1/8)) 3)) (fma.f64 (.f64 x x) 1/4 (-.f64 (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8))) (.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/8))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x (.f64 x 1/8)) (.f64 x (.f64 x 1/8)))) (-.f64 (.f64 x 1/2) (.f64 x (.f64 x 1/8))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) 1/512 1/8)) (fma.f64 (.f64 x 1/8) (fma.f64 x 1/8 -1/2) 1/4))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (.f64 x x) 1/64))) (+.f64 1/2 (.f64 -1/8 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/512 1/8) x) (fma.f64 (.f64 x 1/8) (fma.f64 x 1/8 -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/64)) x) (+.f64 1/2 (.f64 -1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) (exp.f64 (.f64 x (.f64 x 1/8)))))
(log.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 1/8))) (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (.f64 (exp.f64 (.f64 x (.f64 x 1/8))) (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/8 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 x 1/2 (.f64 x (.f64 x 1/8)))
(fma.f64 x 1/2 (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 x (.f64 x 1/8) (.f64 x 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x 1/8)))
(fma.f64 1/2 x (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 (.f64 x 1/2) 1 (.f64 x (*.f64 x 1/8)))
(fma.f64 (.f64 x 1/2) 1 (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 1/8 (.f64 x x) (.f64 x 1/2))
(fma.f64 (.f64 x 1/8) x (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x (*.f64 x 1/8)))
(fma.f64 1 (.f64 x 1/2) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 1 (.f64 x (.f64 x 1/8)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/2 (cbrt.f64 x)) (.f64 x (*.f64 x 1/8)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/2 (cbrt.f64 x)) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/8)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2) (.f64 (.f64 1/2 (cbrt.f64 x)) x) (.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 x (.f64 x 1/8)))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/8)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 (.f64 x x) 1/8 (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x (*.f64 x 1/8)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/8)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/8)) (.f64 (sqrt.f64 (.f64 x 1/8)) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 x (.f64 x 1/8)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (.f64 (.f64 x (*.f64 x 1/8)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 1/8))) (cbrt.f64 (.f64 x (.f64 x 1/8)))) (cbrt.f64 (.f64 x (.f64 x 1/8))) (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x 1/8))) (sqrt.f64 (.f64 x (.f64 x 1/8))) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/8))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 1/8))) (*.f64 x 1/2))
(fma.f64 (.f64 (sqrt.f64 (.f64 x 1/8)) (sqrt.f64 x)) (.f64 (sqrt.f64 (.f64 x 1/8)) (sqrt.f64 x)) (*.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (*.f64 x 1/8)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (*.f64 x 1/8)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 x (.f64 x 1/8)) 1))
(fma.f64 (.f64 x (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2)) (.f64 1/2 (cbrt.f64 x)) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/8))) (sqrt.f64 (.f64 x 1/8)) (.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/8) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))
(fma.f64 (.f64 (.f64 x 1/8) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (fma.f64 x 1/8 1/2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2)) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (.f64 x (fma.f64 x 1/8 1/2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 (log1p.f64 1) x) (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log1p.f64 1) (.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (fma.f64 (.f64 x (fma.f64 x 1/8 1/2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 1/2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)))))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 1/8 1/2))))))
(log.f64 (.f64 (.f64 2 (pow.f64 (exp.f64 x) 1/2)) (exp.f64 (.f64 x (.f64 x 1/8)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))) (exp.f64 (.f64 x (*.f64 x 1/8)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 1/8 1/2)))) 2))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))))
(fma.f64 (log1p.f64 1) 1 (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x 1/2 (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log1p.f64 1))
(fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 (.f64 x 1/2) 1 (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1 (.f64 x (.f64 x 1/8)))
(fma.f64 (fma.f64 x 1/8 1/2) x (log1p.f64 1))
(fma.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1 (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 1 (.f64 x 1/2) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 1 (fma.f64 x 1/2 (log1p.f64 1)) (.f64 x (.f64 x 1/8)))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) x) (log1p.f64 1))
(fma.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 x (.f64 x 1/8)))
(fma.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 x (.f64 x 1/8)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/2 (cbrt.f64 x)) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) 2) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) (*.f64 (sqrt.f64 (fma.f64 x 1/8 1/2)) x) (log1p.f64 1))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (.f64 x (.f64 x 1/8)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 1/8 (*.f64 x x) (log1p.f64 1)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (log1p.f64 1))
(fma.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log1p.f64 1) 2))) (.f64 x (*.f64 x 1/8)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x x) 1/4)) (/.f64 1 (+.f64 (log1p.f64 1) (.f64 -1/2 x))) (.f64 x (*.f64 x 1/8)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/8 (.f64 x x) (log1p.f64 1)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/8 1/2)) 2)) (cbrt.f64 (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/8 1/2))) (sqrt.f64 (fma.f64 x 1/8 1/2)) (log1p.f64 1))
(fma.f64 (*.f64 (fma.f64 x 1/8 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 (fma.f64 x 1/8 1/2) (sqrt.f64 x)) (sqrt.f64 x) (log1p.f64 1))
(+.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 1))
(+.f64 0 (fma.f64 x y (log1p.f64 1)))
(+.f64 (.f64 (.f64 x y) 1) (log1p.f64 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1)))) (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y (log1p.f64 1))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1)))) 1)
(*.f64 (fma.f64 x y (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x y (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) (sqrt.f64 (fma.f64 x y (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 1) 3)) (fma.f64 (.f64 x y) (.f64 x y) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (*.f64 x y) (log1p.f64 1)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (*.f64 x y)) (pow.f64 (log1p.f64 1) 2)) (fma.f64 x y (log.f64 1/2)))
(pow.f64 (fma.f64 x y (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 1)))))
(log.f64 (.f64 2 (exp.f64 (.f64 x y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 1))))

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

eval120.0ms (1.6%)

Compiler: Compiled 4222 to 3223 computations (23.7% saved)

prune45.0ms (0.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	275	1	276
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	275	8	283

Accuracy

100.0%

Counts

283 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	52.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	47.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	53.9%	(*.f64 y (neg.f64 x))
▶	3.4%	(*.f64 1/2 x)
✓	47.1%	(log.f64 2)
✓	91.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	52.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	47.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	53.9%	(*.f64 y (neg.f64 x))
▶	3.4%	(*.f64 1/2 x)
✓	47.1%	(log.f64 2)

Compiler

Compiled 120 to 94 computations (21.7% saved)

localize44.0ms (0.6%)

Compiler: Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	7	7
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	52.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	47.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	53.9%	(*.f64 y (neg.f64 x))
✓	3.4%	(*.f64 1/2 x)
✓	47.1%	(log.f64 2)

Compiler

Compiled 142 to 103 computations (27.5% saved)

regimes27.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

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

Calls

3 calls:

9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
8.0ms	y
7.0ms	x

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 99 to 68 computations (31.3% saved)

regimes35.0ms (0.5%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(fma.f64 x (neg.f64 y) (log.f64 2))

Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))

Calls

2 calls:

17.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`x`
92.9%	3	`y`

Compiler

Compiled 65 to 48 computations (26.2% saved)

regimes11.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 44 to 33 computations (25% saved)

regimes15.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes49.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
79.4%	7	`y`
81.6%	3	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes7.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
53.9%	1	`y`
53.9%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
3.4%	1	`x`
3.4%	1	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-2044.462431773152	-0.0004792558693047899

Results

21.0ms	138×	body	256	valid
1.0ms	4×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 214 to 165 computations (22.9% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-2044.462431773152	-0.0004792558693047899

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch32.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-2044.462431773152	-0.0004792558693047899

Results

16.0ms	102×	body	256	valid
12.0ms	36×	body	512	valid
2.0ms	5×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch41.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.8338744379393477e-17	3.64460070740658e-11
18.0ms	-6.092190270323979e-22	-1.8887453104019471e-25

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 220 to 182 computations (17.3% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	215
1	70	215
2	83	215
3	88	215
4	90	215

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -65) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -180) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2892400118827977/170141183460469231731687303715884105728) (.f64 y (neg.f64 x)) (if (<=.f64 x 1784852045121347/40564819207303340847894502572032) (log.f64 2) (.f64 y (neg.f64 x))))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -65) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -65) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -180) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -180) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2892400118827977/170141183460469231731687303715884105728) (.f64 y (neg.f64 x)) (if (<=.f64 x 1784852045121347/40564819207303340847894502572032) (log.f64 2) (.f64 y (neg.f64 x))))
(if (or (<=.f64 x -2892400118827977/170141183460469231731687303715884105728) (not (<=.f64 x 1784852045121347/40564819207303340847894502572032))) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (or (<=.f64 x -2892400118827977/170141183460469231731687303715884105728) (not (<=.f64 x 1784852045121347/40564819207303340847894502572032))) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 93 to 67 computations (28% saved)

soundness1.0s (13.8%)

Rules

1536×	`times-frac`
1520×	`times-frac`
1354×	`fma-def`
1122×	`fma-neg`
800×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	113
1	61	109
2	94	101
3	211	101
4	365	101
5	607	101
6	1137	101
7	2603	101
8	5620	101
9	7751	101
0	390	9562
1	974	8786
2	3926	8776
0	154	2196
1	385	2068
2	1622	2060
3	7039	2060
0	154	2196
1	385	2068
2	1622	2060
3	7039	2060

Stop Event

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

Compiler

Compiled 122 to 86 computations (29.5% saved)

end0.0ms (0%)

preprocess215.0ms (2.9%)

Compiler: Compiled 240 to 148 computations (38.3% saved)

analyze1.0ms (0%)

sample4.0s (54.8%)

preprocess276.0ms (3.8%)

eval6.0ms (0.1%)

prune1.0ms (0%)

localize35.0ms (0.5%)

series60.0ms (0.8%)

rewrite100.0ms (1.4%)

simplify88.0ms (1.2%)

eval27.0ms (0.4%)

prune18.0ms (0.2%)

localize134.0ms (1.8%)

series14.0ms (0.2%)

rewrite129.0ms (1.8%)

simplify138.0ms (1.9%)

eval103.0ms (1.4%)

prune34.0ms (0.5%)

localize179.0ms (2.4%)

series3.0ms (0%)

rewrite124.0ms (1.7%)

simplify119.0ms (1.6%)

eval120.0ms (1.6%)

prune45.0ms (0.6%)

localize44.0ms (0.6%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes27.0ms (0.4%)

regimes35.0ms (0.5%)

regimes11.0ms (0.2%)

regimes15.0ms (0.2%)

regimes49.0ms (0.7%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch25.0ms (0.3%)

bsearch24.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch41.0ms (0.6%)

simplify14.0ms (0.2%)

soundness1.0s (13.8%)

end0.0ms (0%)

preprocess215.0ms (2.9%)

Profiling