Metrics for Logistic regression 2

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.3s (40.2%)

Results

1.8s	2213×	body	8192	exit
1.1s	6857×	body	256	valid
150.0ms	959×	body	256	infinite
105.0ms	206×	body	1024	valid
69.0ms	232×	body	512	valid
2.0ms	2×	body	2048	valid

Bogosity

preprocess420.0ms (5.2%)

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)

eval1.0ms (0%)

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

prune3.0ms (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)

localize86.0ms (1.1%)

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)

series86.0ms (1.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
62.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
19.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite65.0ms (0.8%)

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)))

simplify98.0ms (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))

eval22.0ms (0.3%)

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

prune31.0ms (0.4%)

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
▶	83.2%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	64.2%	(/.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)))))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	83.2%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	56.6%	(*.f64 y (neg.f64 x))
▶	83.2%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	64.2%	(/.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)))))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	83.2%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	56.6%	(*.f64 y (neg.f64 x))

Compiler

Compiled 274 to 176 computations (35.8% saved)

localize178.0ms (2.2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
✓	99.1%	(pow.f64 (log1p.f64 (exp.f64 x)) 2)
✓	99.1%	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
✓	70.8%	(/.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)))))
✓	100.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	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 165 to 67 computations (59.4% saved)

series22.0ms (0.3%)

Counts

8 → 147

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
3.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
2.0ms	x	@	0	(/.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)))))
1.0ms	y	@	0	(.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`add-sqr-sqrt`
586×	`pow1`
578×	`*-un-lft-identity`
562×	`add-exp-log`
560×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	222
1	606	148

Stop Event

1×	node limit

Counts

8 → 241

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

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

simplify200.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1458×	`fma-def`
888×	`associate-r`
802×	`associate-l`
640×	`log-prod`
464×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	15508
1	1839	13310
2	7920	13310

Stop Event

1×	node limit

Counts

388 → 353

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)))
(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))
(+.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)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (.f64 x (-.f64 1/2 y)) (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 3/4 (/.f64 1 (log.f64 2)))) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (+.f64 (/.f64 (.f64 y (+.f64 1/2 y)) (log.f64 2)) (/.f64 (.f64 (+.f64 (log.f64 2) (*.f64 y (log.f64 2))) (-.f64 1/2 y)) (pow.f64 (log.f64 2) 2))))))))
(+.f64 (log.f64 2) (+.f64 (.f64 x (-.f64 1/2 y)) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 3/4 (/.f64 1 (log.f64 2)))) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (+.f64 (/.f64 (.f64 y (+.f64 1/2 y)) (log.f64 2)) (/.f64 (.f64 (+.f64 (log.f64 2) (.f64 y (log.f64 2))) (-.f64 1/2 y)) (pow.f64 (log.f64 2) 2)))))) (.f64 (pow.f64 x 3) (-.f64 (+.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/2 (/.f64 (+.f64 1/4 (.f64 1/4 (log.f64 2))) (pow.f64 (log.f64 2) 2)))) (+.f64 (.f64 1/8 (/.f64 1 (log.f64 2))) (+.f64 (.f64 1/8 (/.f64 y (log.f64 2))) (+.f64 (/.f64 (.f64 (+.f64 1/4 (+.f64 (.f64 1/4 (log.f64 2)) (.f64 y (+.f64 1/2 y)))) (-.f64 1/2 y)) (pow.f64 (log.f64 2) 2)) (+.f64 (/.f64 (.f64 (+.f64 (log.f64 2) (.f64 y (log.f64 2))) (-.f64 (+.f64 1/8 (.f64 3/4 (/.f64 1 (log.f64 2)))) (+.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (+.f64 (/.f64 (.f64 y (+.f64 1/2 y)) (log.f64 2)) (/.f64 (.f64 (+.f64 (log.f64 2) (*.f64 y (log.f64 2))) (-.f64 1/2 y)) (pow.f64 (log.f64 2) 2)))))) (pow.f64 (log.f64 2) 2)) (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2)))))))))))
(.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 (.f64 -1 (.f64 x y)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) x)) (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y))) (*.f64 (pow.f64 x 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 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (.f64 x y))) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 x y)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y))) (.f64 (pow.f64 x 2) y))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (.f64 x y))) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.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 (.f64 -1 (.f64 x y)) (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x)))))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x))))))) (/.f64 (.f64 x (.f64 (pow.f64 y 3) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x))))) (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x))))))) (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 (.f64 -1 (.f64 x y)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) y)) (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x))) (*.f64 x (pow.f64 y 2))))))
(.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 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (.f64 x y))) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 x y)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x))) (.f64 x (pow.f64 y 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (.f64 x y))) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 x y))))))
(pow.f64 (log.f64 2) 3)
(+.f64 (.f64 x (+.f64 (.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (pow.f64 (log.f64 2) 3))
(+.f64 (.f64 x (+.f64 (.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/8 (pow.f64 (log.f64 2) 2)) (+.f64 (.f64 1/2 (log.f64 2)) (.f64 (log.f64 2) (+.f64 1/4 (*.f64 1/4 (log.f64 2))))))) (pow.f64 (log.f64 2) 3)))
(+.f64 (.f64 x (+.f64 (.f64 1/2 (pow.f64 (log.f64 2) 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 1/8 (pow.f64 (log.f64 2) 2)) (+.f64 (.f64 1/2 (log.f64 2)) (.f64 (log.f64 2) (+.f64 1/4 (.f64 1/4 (log.f64 2))))))) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/4 (log.f64 2)) (.f64 1/2 (+.f64 1/4 (*.f64 1/4 (log.f64 2)))))) (pow.f64 (log.f64 2) 3))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 2) 2)
(+.f64 (*.f64 x (log.f64 2)) (pow.f64 (log.f64 2) 2))
(+.f64 (.f64 x (log.f64 2)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/4 (*.f64 1/4 (log.f64 2)))) (pow.f64 (log.f64 2) 2)))
(+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 x (log.f64 2)) (+.f64 (.f64 (pow.f64 x 2) (+.f64 1/4 (.f64 1/4 (log.f64 2)))) (pow.f64 (log.f64 2) 2))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)
(.f64 x (.f64 y (log.f64 2)))
(+.f64 (.f64 x (.f64 y (log.f64 2))) (.f64 (pow.f64 x 2) (.f64 y (+.f64 1/2 y))))
(+.f64 (.f64 1/8 (.f64 (pow.f64 x 3) y)) (+.f64 (.f64 x (.f64 y (log.f64 2))) (.f64 (pow.f64 x 2) (.f64 y (+.f64 1/2 y)))))
(+.f64 (.f64 -1/192 (.f64 (pow.f64 x 5) y)) (+.f64 (.f64 1/8 (.f64 (pow.f64 x 3) y)) (+.f64 (.f64 x (.f64 y (log.f64 2))) (.f64 (pow.f64 x 2) (.f64 y (+.f64 1/2 y))))))
(*.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 (pow.f64 x 2) (pow.f64 y 2))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (.f64 x (.f64 y (log.f64 (+.f64 1 (exp.f64 x))))) (*.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(.f64 (/.f64 1 (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (.f64 (.f64 x y) (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)) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) 2) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(.f64 (/.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(.f64 (/.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))))
(.f64 (/.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(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)
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (neg.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) 3) (pow.f64 (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 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 (cbrt.f64 (pow.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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))
(.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) (log1p.f64 (exp.f64 x)))
(.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (log1p.f64 (exp.f64 x)))
(.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(+.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (*.f64 y (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (*.f64 x y) 2))
(+.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (pow.f64 (*.f64 x y) 2))
(+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) (.f64 (pow.f64 (*.f64 x y) 2) 1))
(+.f64 (.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 1) (.f64 (pow.f64 (*.f64 x y) 2) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3)) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (pow.f64 (.f64 x y) 6)) (+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (.f64 x y) 6)) (+.f64 (.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (.f64 x (.f64 y (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (.f64 x (.f64 y (log1p.f64 (exp.f64 x))))) (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (.f64 (.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(pow.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(exp.f64 (log.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 (.f64 x y) (.f64 x y) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(fma.f64 (.f64 x y) (log1p.f64 (exp.f64 x)) (pow.f64 (.f64 x y) 2))
(fma.f64 (log1p.f64 (exp.f64 x)) (.f64 x y) (pow.f64 (.f64 x y) 2))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(fma.f64 x 1/2 (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 1/2 y))
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(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(.f64 (.f64 (log1p.f64 (exp.f64 x)) 1) (log1p.f64 (exp.f64 x)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(+.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (*.f64 y (log1p.f64 (exp.f64 x)))))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (*.f64 x y) 2))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (pow.f64 (*.f64 x y) 2))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1) (.f64 (pow.f64 (*.f64 x y) 2) 1))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(+.f64 (.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 1) (.f64 (pow.f64 (*.f64 x y) 2) 1))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) 1)
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3)) (+.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 3)) (+.f64 (pow.f64 (.f64 x y) 4) (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (.f64 x y) 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (*.f64 x y) 4)))
(/.f64 (+.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (pow.f64 (.f64 x y) 6)) (+.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 3)) (+.f64 (pow.f64 (.f64 x y) 4) (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (.f64 x y) 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (*.f64 x y) 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (.f64 x y) 6)) (+.f64 (.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (.f64 x (.f64 y (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 3)) (+.f64 (pow.f64 (.f64 x y) 4) (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (.f64 x y) 3)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (.f64 (.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (*.f64 x y) 4)))
(/.f64 (-.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 4)) (-.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (.f64 (.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (.f64 x (.f64 y (log1p.f64 (exp.f64 x))))) (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2))) (-.f64 (.f64 x (.f64 y (log1p.f64 (exp.f64 x)))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (pow.f64 (.f64 x y) 4)) (-.f64 (.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (.f64 (.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (.f64 (.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 4) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 4) (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(pow.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1)
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(pow.f64 (cbrt.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3)
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3) 1/3)
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2)
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(sqrt.f64 (pow.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(fabs.f64 (.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 (.f64 x y) (.f64 x y) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 (.f64 x y) (log1p.f64 (exp.f64 x)) (pow.f64 (.f64 x y) 2))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 (log1p.f64 (exp.f64 x)) (.f64 x y) (pow.f64 (.f64 x y) 2))
(fma.f64 x (.f64 y (log1p.f64 (exp.f64 x))) (.f64 (.f64 x x) (.f64 y y)))
(.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))

eval160.0ms (2%)

Compiler: Compiled 9977 to 4943 computations (50.5% saved)

prune66.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	349	4	353
Fresh	0	0	0
Picked	2	3	5
Done	1	0	1
Total	352	7	359

Accuracy

100.0%

Counts

359 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.2%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	50.0%	(/.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 x) (.f64 y y))))
✓	90.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	46.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	56.6%	(*.f64 y (neg.f64 x))
▶	51.3%	(log1p.f64 (exp.f64 x))
▶	45.8%	(log.f64 2)
✓	83.2%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	50.0%	(/.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 x) (.f64 y y))))
✓	90.6%	(-.f64 (log.f64 2) (*.f64 x y))
▶	46.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	56.6%	(*.f64 y (neg.f64 x))
▶	51.3%	(log1p.f64 (exp.f64 x))
▶	45.8%	(log.f64 2)

Compiler

Compiled 134 to 98 computations (26.9% saved)

localize142.0ms (1.7%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	99.1%	(pow.f64 (log1p.f64 (exp.f64 x)) 2)
	99.1%	(pow.f64 (log1p.f64 (exp.f64 x)) 3)
✓	80.2%	(.f64 (.f64 x x) (*.f64 y y))
✓	70.9%	(/.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 x) (.f64 y y))))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	100.0%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 115 to 48 computations (58.3% saved)

series5.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.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 x) (.f64 y y))))
1.0ms	x	@	0	(.f64 (.f64 x x) (*.f64 y y))
1.0ms	x	@	inf	(/.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 x) (.f64 y y))))
1.0ms	y	@	0	(/.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 x) (.f64 y y))))
0.0ms	y	@	0	(.f64 (.f64 x x) (*.f64 y y))

rewrite103.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`expm1-udef`
824×	`log1p-udef`
506×	`add-sqr-sqrt`
500×	`pow1`
492×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	113
1	519	91
2	7120	91

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Inputs

(+.f64 (log.f64 2) (*.f64 x 1/2))

(/.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 x) (*.f64 y y))))

(*.f64 (*.f64 x x) (*.f64 y y))

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

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1688×	`fma-def`
1194×	`distribute-lft-in`
1124×	`unswap-sqr`
544×	`cancel-sign-sub-inv`
358×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	6859
1	796	6415
2	2918	6329

Stop Event

1×	node limit

Counts

151 → 155

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

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

eval384.0ms (4.7%)

Compiler: Compiled 8237 to 4186 computations (49.2% saved)

prune176.0ms (2.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	308	2	310
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	309	8	317

Accuracy

100.0%

Counts

317 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.2%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	45.0%	(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y y))))
✓	90.6%	(-.f64 (log.f64 2) (*.f64 x y))
✓	46.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	56.6%	(*.f64 y (neg.f64 x))
▶	3.7%	(*.f64 1/2 x)
✓	51.3%	(log1p.f64 (exp.f64 x))
✓	45.8%	(log.f64 2)
✓	83.2%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	45.0%	(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y y))))
✓	90.6%	(-.f64 (log.f64 2) (*.f64 x y))
✓	46.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	56.6%	(*.f64 y (neg.f64 x))
▶	3.7%	(*.f64 1/2 x)
✓	51.3%	(log1p.f64 (exp.f64 x))
✓	45.8%	(log.f64 2)

Compiler

Compiled 150 to 116 computations (22.7% saved)

localize873.0ms (10.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.1%	(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3)
✓	94.9%	(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3))
	80.2%	(.f64 (.f64 x x) (*.f64 y y))
✓	73.5%	(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y y))))

Compiler

Compiled 118 to 62 computations (47.5% saved)

series35.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	(-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3))
5.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y y))))
4.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y y))))
4.0ms	y	@	0	(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y y))))
2.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y y))))

rewrite158.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`expm1-udef`
828×	`log1p-udef`
506×	`add-sqr-sqrt`
500×	`pow1`
492×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	149
1	519	125
2	7157	125

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x x) (*.f64 y y))))

(-.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3) (pow.f64 (*.f64 x y) 3))

(pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3)

Outputs
(+.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (/.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(-.f64 (/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) (/.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)))) 1)
(.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 1)
(.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 2)) (.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (/.f64 1 (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))) 2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (/.f64 1 (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (.f64 x y) (fma.f64 1/2 x (log.f64 2))))) (.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) (/.f64 1 (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (/.f64 1 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 2)) (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (cbrt.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (/.f64 1 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))) (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 2)) (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (.f64 x y) (fma.f64 1/2 x (log.f64 2))))) 1) (/.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (.f64 x y) (fma.f64 1/2 x (log.f64 2))))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 2)) (/.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (.f64 x y) (fma.f64 1/2 x (log.f64 2))))) (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))) (/.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 6) (pow.f64 (log1p.f64 (exp.f64 x)) 6))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (.f64 (pow.f64 y 4) (pow.f64 x 4)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (neg.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 3) (pow.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) 1))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (.f64 x y) (pow.f64 (.f64 x y) 3)))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (.f64 x y)) (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 3)))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) 1 (pow.f64 (*.f64 x y) 3)))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (pow.f64 (.f64 x y) 3/2)) (pow.f64 (.f64 x y) 3/2) (pow.f64 (.f64 x y) 3)))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (pow.f64 y 3)) (pow.f64 x 3) (pow.f64 (.f64 x y) 3)))
(+.f64 (neg.f64 (pow.f64 (*.f64 x y) 3)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 1)
(.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)))
(.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 2)) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (.f64 x y) (fma.f64 1/2 x (log.f64 2))))) (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))
(.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (.f64 x y) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (pow.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3))))
(.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (.f64 x y) 3/2)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (*.f64 x y) 3/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (pow.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) 3)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (.f64 x y) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (.f64 x y) 9)) (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (pow.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) 3)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (.f64 x y) 9))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (pow.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) (neg.f64 (pow.f64 (.f64 x y) 3))) (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (neg.f64 (pow.f64 (.f64 x y) 3))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) (neg.f64 (pow.f64 (.f64 x y) 3)))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (neg.f64 (pow.f64 (.f64 x y) 3))))
(pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(fma.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(fma.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (fma.f64 1/2 x (log.f64 2)) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(fma.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(+.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (log.f64 2)) (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 1/2 x)))
(+.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 1/2 x)) (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (log.f64 2)))
(+.f64 (.f64 (log.f64 2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (.f64 (*.f64 1/2 x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(+.f64 (.f64 (.f64 1/2 x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (*.f64 (log.f64 2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))) 1)
(*.f64 (fma.f64 1/2 x (log.f64 2)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1)
(*.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (fma.f64 1/2 x (log.f64 2)))
(.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 3) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 3) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 3))
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1) (fma.f64 1/2 x (log.f64 2)))
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (pow.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (.f64 1/2 x) (log.f64 2)))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) 3) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) 3))
(/.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4))) (+.f64 (log.f64 2) (.f64 -1/2 x)))
(/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (log.f64 2) (.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))

simplify207.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1508×	`fma-neg`
748×	`fma-def`
630×	`associate-r`
596×	`associate-l`
564×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	459	11338
1	1396	10898
2	6252	10898

Stop Event

1×	node limit

Counts

174 → 244

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/4 (/.f64 (pow.f64 y 2) (log.f64 2))))) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/4 (/.f64 (pow.f64 y 2) (log.f64 2))))) (+.f64 (.f64 1/2 x) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1/4 (/.f64 (pow.f64 y 2) (log.f64 2))) (log.f64 2))) (+.f64 (.f64 1/8 (/.f64 1 (log.f64 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/4 (log.f64 2)) (pow.f64 y 2))) (pow.f64 (log.f64 2) 2))) (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2))))))))))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (pow.f64 y 2))
(+.f64 (.f64 1/4 (/.f64 (log.f64 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (log.f64 2) (pow.f64 y 2))) (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (log.f64 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (log.f64 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (pow.f64 y 2)) (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x (pow.f64 y 2))))))) (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (-.f64 1/8 (pow.f64 y 3))) (.f64 x (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (log.f64 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (log.f64 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (pow.f64 y 2)) (+.f64 (/.f64 (pow.f64 (log.f64 2) 2) (.f64 x (pow.f64 y 2))) (/.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 2) (pow.f64 y 2)))))))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (+.f64 (.f64 1/4 (/.f64 (log.f64 2) (pow.f64 y 2))) (.f64 1/2 (/.f64 (log.f64 2) (pow.f64 y 2))))) (.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (pow.f64 y 4)))))
(/.f64 (.f64 x (+.f64 1/8 (.f64 -1 (pow.f64 y 3)))) (pow.f64 y 2))
(+.f64 (.f64 1/4 (/.f64 (log.f64 2) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (log.f64 2) (pow.f64 y 2))) (/.f64 (.f64 x (+.f64 1/8 (.f64 -1 (pow.f64 y 3)))) (pow.f64 y 2))))
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(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (.f64 (pow.f64 y 4) (pow.f64 x 4)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)))
(pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (neg.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 3) (pow.f64 (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (pow.f64 (hypot.f64 (.f64 x y) (log1p.f64 (exp.f64 x))) 2))))
(+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) 1))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) (.f64 x y) (pow.f64 (.f64 x y) 3)))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (.f64 x y)) (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 3)))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) 1 (pow.f64 (*.f64 x y) 3)))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (pow.f64 (.f64 x y) 3/2)) (pow.f64 (.f64 x y) 3/2) (pow.f64 (.f64 x y) 3)))
(+.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (neg.f64 (pow.f64 y 3)) (pow.f64 x 3) (pow.f64 (.f64 x y) 3)))
(+.f64 (neg.f64 (pow.f64 (*.f64 x y) 3)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 1)
(.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)))
(.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) 2)) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (.f64 x y) (fma.f64 1/2 x (log.f64 2))))) (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))
(.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 (.f64 x y) (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (.f64 x y) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (pow.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3))))
(.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (.f64 x y) 3/2)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (*.f64 x y) 3/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (pow.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) 3)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (.f64 x y) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (.f64 x y) 9)) (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (pow.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) 3)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (.f64 x y) 9))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6)) (pow.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y)) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (pow.f64 (.f64 x y) 6))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9) (pow.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) (neg.f64 (pow.f64 (.f64 x y) 3))) (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (neg.f64 (pow.f64 (.f64 x y) 3))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6) (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) (neg.f64 (pow.f64 (.f64 x y) 3)))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (neg.f64 (pow.f64 (.f64 x y) 3))))
(pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(exp.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(fma.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(fma.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (fma.f64 1/2 x (log.f64 2)) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(fma.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (neg.f64 (pow.f64 (*.f64 x y) 3)))
(+.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (log.f64 2)) (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 1/2 x)))
(+.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (.f64 1/2 x)) (*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (log.f64 2)))
(+.f64 (.f64 (log.f64 2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (.f64 (*.f64 1/2 x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(+.f64 (.f64 (.f64 1/2 x) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (*.f64 (log.f64 2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))) 1)
(*.f64 (fma.f64 1/2 x (log.f64 2)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1)
(*.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (fma.f64 1/2 x (log.f64 2)))
(.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 3) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 3) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 3))
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1) (fma.f64 1/2 x (log.f64 2)))
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(/.f64 (pow.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (.f64 1/2 x) (log.f64 2)))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) 3) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) 3))
(/.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4))) (+.f64 (log.f64 2) (.f64 -1/2 x)))
(/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (log.f64 2) (.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(exp.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))

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 (.f64 (pow.f64 x 2) (+.f64 1/4 (/.f64 (pow.f64 y 2) (log.f64 2))))) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 (.f64 x x) (+.f64 1/4 (/.f64 (.f64 y y) (log.f64 2)))) (.f64 1/2 x)))
(+.f64 (.f64 (+.f64 1/4 (/.f64 y (/.f64 (log.f64 2) y))) (neg.f64 (.f64 x x))) (fma.f64 1/2 x (log.f64 2)))
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(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1)
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(*.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3/2))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 3) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 3) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 3))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) 1) (fma.f64 1/2 x (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(/.f64 (pow.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (.f64 1/2 x) (log.f64 2)))) 3))
(/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 3) (pow.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 1/2 (.f64 x (-.f64 (*.f64 1/2 x) (log.f64 2))))) 3))
(/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 3) (pow.f64 (fma.f64 1/2 (.f64 x (-.f64 (.f64 1/2 x) (log.f64 2))) (pow.f64 (log.f64 2) 2)) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) 3) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 x 1/4))) 3) (pow.f64 (+.f64 (log.f64 2) (*.f64 x -1/2)) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) -1/4)) 3) (pow.f64 (fma.f64 x -1/2 (log.f64 2)) 3))
(/.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 1/2 (.f64 x (-.f64 (*.f64 1/2 x) (log.f64 2))))) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (.f64 x (-.f64 (*.f64 1/2 x) (log.f64 2))) (pow.f64 (log.f64 2) 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(/.f64 (.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4))) (+.f64 (log.f64 2) (.f64 -1/2 x)))
(/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (/.f64 (+.f64 (log.f64 2) (.f64 x -1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 x (*.f64 x 1/4)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (*.f64 x x) -1/4)) (fma.f64 x -1/2 (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 1/2 (.f64 x (-.f64 (*.f64 1/2 x) (log.f64 2))))) (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (.f64 x (-.f64 (*.f64 1/2 x) (log.f64 2))) (pow.f64 (log.f64 2) 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x x) 1/4)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (log.f64 2) (.f64 -1/2 x)))
(/.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (/.f64 (+.f64 (log.f64 2) (.f64 x -1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 x (*.f64 x 1/4)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (*.f64 x x) -1/4)) (fma.f64 x -1/2 (log.f64 2))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 6))
(log.f64 (exp.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(exp.f64 (*.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 x (log.f64 2)))) 1))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)

eval230.0ms (2.8%)

Compiler: Compiled 10106 to 6175 computations (38.9% saved)

prune45.0ms (0.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	261	8	269

Accuracy

100.0%

Counts

269 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.2%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
	49.9%	(/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))
✓	90.6%	(-.f64 (log.f64 2) (*.f64 x y))
✓	46.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	56.6%	(*.f64 y (neg.f64 x))
✓	3.7%	(*.f64 1/2 x)
✓	51.3%	(log1p.f64 (exp.f64 x))
✓	45.8%	(log.f64 2)

Compiler

Compiled 218 to 137 computations (37.2% saved)

regimes27.0ms (0.3%)

Counts

14 → 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)))
(log1p.f64 (exp.f64 x))
(-.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))
(/.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x x) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))

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

Calls

3 calls:

9.0ms	x
8.0ms	y
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 172 to 97 computations (43.6% saved)

regimes27.0ms (0.3%)

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

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

Calls

2 calls:

15.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`x`
92.4%	3	`y`

Compiler

Compiled 40 to 29 computations (27.5% saved)

regimes10.0ms (0.1%)

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:

8.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes50.0ms (0.6%)

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

Calls

2 calls:

37.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
75.4%	7	`y`
86.7%	3	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes14.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.6%	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (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	x
3.0ms	y

Results

Accuracy	Segments	Branch
56.6%	1	`y`
56.6%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (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
3.7%	1	`y`
3.7%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch43.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-1.029160385422758e+21	-507489674664154.75

Results

19.0ms	37×	body	1024	valid
15.0ms	86×	body	256	valid
4.0ms	12×	body	512	valid
2.0ms	9×	body	256	infinite

Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch34.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-1.029160385422758e+21	-507489674664154.75

Results

15.0ms	35×	body	1024	valid
13.0ms	92×	body	256	valid
3.0ms	12×	body	512	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.715957405381207e-14	1.304784029414093e-13
17.0ms	-3.049343538724364e-34	-3.869611730579802e-37

Results

23.0ms

192×

body

256

valid

Compiler

Compiled 208 to 168 computations (19.2% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.715957405381207e-14	1.304784029414093e-13
18.0ms	-3.049343538724364e-34	-3.869611730579802e-37

Results

23.0ms

192×

body

256

valid

Compiler

Compiled 160 to 132 computations (17.5% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	213
1	67	213
2	80	213
3	85	213
4	87	213

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -510000000000000) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -510000000000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6944120419548559/11972621413014756705924586149611790497021399392059392) (.f64 y (neg.f64 x)) (if (<=.f64 x 4040636288227481/39614081257132168796771975168) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 y (neg.f64 x))))
(if (<=.f64 x -1309505467048489/23384026197294446691258957323460528314494920687616) (.f64 y (neg.f64 x)) (if (<=.f64 x 940834429856889/9903520314283042199192993792) (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 -510000000000000) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -510000000000000) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -510000000000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -510000000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6944120419548559/11972621413014756705924586149611790497021399392059392) (.f64 y (neg.f64 x)) (if (<=.f64 x 4040636288227481/39614081257132168796771975168) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 y (neg.f64 x))))
(if (or (<=.f64 x -6944120419548559/11972621413014756705924586149611790497021399392059392) (not (<=.f64 x 4040636288227481/39614081257132168796771975168))) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (or (<=.f64 x -6944120419548559/11972621413014756705924586149611790497021399392059392) (not (<=.f64 x 4040636288227481/39614081257132168796771975168))) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -1309505467048489/23384026197294446691258957323460528314494920687616) (.f64 y (neg.f64 x)) (if (<=.f64 x 940834429856889/9903520314283042199192993792) (log.f64 2) (.f64 y (neg.f64 x))))
(if (or (<=.f64 x -1309505467048489/23384026197294446691258957323460528314494920687616) (not (<=.f64 x 940834429856889/9903520314283042199192993792))) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (or (<=.f64 x -1309505467048489/23384026197294446691258957323460528314494920687616) (not (<=.f64 x 940834429856889/9903520314283042199192993792))) (*.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 92 to 67 computations (27.2% saved)

soundness538.0ms (6.6%)

Rules

1536×	`times-frac`
1458×	`fma-def`
1354×	`fma-def`
888×	`associate-r`
802×	`associate-l`

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	639	15508
1	1839	13310
2	7920	13310
0	154	2196
1	385	2068
2	1622	2060
3	7039	2060

Stop Event

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

Compiler

Compiled 52 to 33 computations (36.5% saved)

end0.0ms (0%)

preprocess79.0ms (1%)

Compiler: Compiled 238 to 148 computations (37.8% saved)

analyze0.0ms (0%)

sample3.3s (40.2%)

preprocess420.0ms (5.2%)

eval1.0ms (0%)

prune3.0ms (0%)

localize86.0ms (1.1%)

series86.0ms (1.1%)

rewrite65.0ms (0.8%)

simplify98.0ms (1.2%)

eval22.0ms (0.3%)

prune31.0ms (0.4%)

localize178.0ms (2.2%)

series22.0ms (0.3%)

rewrite87.0ms (1.1%)

simplify200.0ms (2.4%)

eval160.0ms (2%)

prune66.0ms (0.8%)

localize142.0ms (1.7%)

series5.0ms (0.1%)

rewrite103.0ms (1.3%)

simplify97.0ms (1.2%)

eval384.0ms (4.7%)

prune176.0ms (2.2%)

localize873.0ms (10.7%)

series35.0ms (0.4%)

rewrite158.0ms (1.9%)

simplify207.0ms (2.5%)

eval230.0ms (2.8%)

prune45.0ms (0.6%)

regimes27.0ms (0.3%)

regimes27.0ms (0.3%)

regimes10.0ms (0.1%)

regimes50.0ms (0.6%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch43.0ms (0.5%)

bsearch34.0ms (0.4%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.3%)

simplify10.0ms (0.1%)

soundness538.0ms (6.6%)

end0.0ms (0%)

preprocess79.0ms (1%)

Profiling