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)

sample3.2s (38.3%)

Results

1.7s	2205×	body	8192	exit
902.0ms	6899×	body	256	valid
458.0ms	938×	body	256	infinite
88.0ms	210×	body	1024	valid
52.0ms	206×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess266.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1540×	`times-frac`
1328×	`fma-def`
800×	`fma-neg`
552×	`cancel-sign-sub-inv`
470×	`swap-sqr`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	70	226
2	126	210
3	283	210
4	465	210
5	764	210
6	1318	210
7	2782	210
8	5717	210
9	7862	210

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize39.0ms (0.5%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series12.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
4.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2.0ms	x	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite123.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`prod-diff`
972×	`unpow-prod-down`
674×	`log-prod`
640×	`log1p-expm1-u`
640×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	136	30
2	1758	30

Stop Event

1×	node limit

Counts

1 → 153

Calls

Call 1

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

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

simplify140.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

756×	`log-prod`
568×	`*-commutative`
558×	`distribute-lft-in`
536×	`distribute-rgt-in`
452×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	7047
1	1001	6857
2	2655	6800
3	7927	6800

Stop Event

1×	node limit

Counts

177 → 179

Calls

Call 1

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

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

eval44.0ms (0.5%)

Compiler: Compiled 3867 to 1094 computations (71.7% saved)

prune34.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	171	8	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	8	180

Accuracy

100.0%

Counts

180 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	97.6%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
▶	83.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
	76.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 x 1/8))))
▶	52.8%	(*.f64 y (neg.f64 x))
▶	54.3%	(log1p.f64 (exp.f64 x))
▶	63.4%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
	49.0%	(log.f64 2)
	83.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	97.6%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
▶	83.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
	76.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 x 1/8))))
▶	52.8%	(*.f64 y (neg.f64 x))
▶	54.3%	(log1p.f64 (exp.f64 x))
▶	63.4%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
	49.0%	(log.f64 2)

Compiler

Compiled 296 to 232 computations (21.6% saved)

localize581.0ms (7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y))))
✓	100.0%	(expm1.f64 (*.f64 x y))
✓	90.1%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.1%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
✓	98.8%	(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

Compiler

Compiled 120 to 45 computations (62.5% saved)

series119.0ms (1.4%)

Counts

7 → 115

Calls

42 calls:

Time	Variable		Point	Expression
33.0ms	y	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
28.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
16.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
16.0ms	y	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
5.0ms	x	@	0	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))

rewrite174.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`log1p-expm1-u`
622×	`expm1-udef`
620×	`log1p-udef`
268×	`associate-r`
180×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	201
1	397	189
2	5417	189

Stop Event

1×	node limit

Counts

7 → 245

Calls

Call 1

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

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

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-l`
1258×	`fma-def`
776×	`*-commutative`
626×	`distribute-rgt-in`
616×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	741	21282
1	2144	19580

Stop Event

1×	node limit

Counts

360 → 355

Calls

Call 1

Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x (-.f64 1/2 y)))) (pow.f64 (log.f64 2) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 x (-.f64 1/2 y)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (pow.f64 (log.f64 2) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (-.f64 1/2 y)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 x (-.f64 1/2 y)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (pow.f64 (log.f64 2) 1/3))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 x y))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 x y))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 x 2) (pow.f64 y 2)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (.f64 x y))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3)))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (.f64 (pow.f64 x 2) (pow.f64 y 2)))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(+.f64 (.f64 x (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))))) (.f64 (pow.f64 1 1/3) (log.f64 2)))
(+.f64 (.f64 x (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 2)) (.f64 (pow.f64 x 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (.f64 (pow.f64 (.f64 1 (log.f64 2)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))))))))))
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(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (exp.f64 x))))
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(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(.f64 1 (-.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 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)) (.f64 (cbrt.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 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) (pow.f64 (cbrt.f64 (-.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)) (/.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 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2)) 3) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/6) 3))
(.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 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1/6)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/6))
(/.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 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))
(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 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) 3/2)
(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)
(neg.f64 (log.f64 (exp.f64 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(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 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(+.f64 (pow.f64 (exp.f64 x) y) -1)
(-.f64 (pow.f64 (exp.f64 x) y) 1)
(.f64 1 (expm1.f64 (.f64 x y)))
(.f64 (expm1.f64 (.f64 x y)) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x y))) 2) (cbrt.f64 (expm1.f64 (*.f64 x y))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x y))) (sqrt.f64 (expm1.f64 (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2) (+.f64 1 (pow.f64 (exp.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2) 1) (+.f64 (pow.f64 (exp.f64 x) y) 1))
(pow.f64 (expm1.f64 (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x y))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x y)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x y)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 x y))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 1)
(.f64 1 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(.f64 (+.f64 (exp.f64 x) 1) (exp.f64 (.f64 x (neg.f64 y))))
(.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (exp.f64 (*.f64 x (neg.f64 y)))))
(.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (exp.f64 (*.f64 x (neg.f64 y)))))
(.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.f64 (+.f64 -1 (neg.f64 (exp.f64 x))) (/.f64 1 (neg.f64 (pow.f64 (exp.f64 x) y))))
(.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2)) (/.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (/.f64 (+.f64 (exp.f64 x) 1) (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (exp.f64 x) y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (sqrt.f64 (pow.f64 (exp.f64 x) y))) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) y)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (pow.f64 (expm1.f64 (.f64 x y)) 3))) (+.f64 1 (.f64 (expm1.f64 (.f64 x y)) (-.f64 (expm1.f64 (*.f64 x y)) 1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) 1) (-.f64 1 (pow.f64 (expm1.f64 (.f64 x y)) 2))) (-.f64 1 (expm1.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1)
(pow.f64 (exp.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))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2)
(pow.f64 (exp.f64 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (exp.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))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(neg.f64 (/.f64 (+.f64 (exp.f64 x) 1) (neg.f64 (pow.f64 (exp.f64 x) y))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) (pow.f64 (pow.f64 (exp.f64 x) y) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))

Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 x (-.f64 1/2 y)))) (pow.f64 (log.f64 2) 1/3))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x (-.f64 1/2 y))) (cbrt.f64 (log.f64 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 x (-.f64 1/2 y)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (pow.f64 (log.f64 2) 1/3)))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x (-.f64 1/2 y))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))))) (cbrt.f64 (log.f64 2))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x (-.f64 1/2 y))) (fma.f64 1/3 (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 2))) (cbrt.f64 (log.f64 2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (.f64 (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (-.f64 1/2 y)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (.f64 x (-.f64 1/2 y)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 1/8 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (pow.f64 (log.f64 2) 1/3))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 x 3) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) (.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (.f64 (-.f64 1/2 y) (+.f64 1/8 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))))))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x (-.f64 1/2 y))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))))) (cbrt.f64 (log.f64 2)))))
(fma.f64 -1/3 (.f64 (fma.f64 2/3 (.f64 (-.f64 1/2 y) (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (.f64 (pow.f64 (-.f64 1/2 y) 3) 1/27))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (.f64 x (-.f64 1/2 y))) (fma.f64 1/3 (.f64 (+.f64 1/8 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 2))) (cbrt.f64 (log.f64 2)))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
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(*.f64 (pow.f64 1 1/3) (log.f64 2))
(log.f64 2)
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(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (exp.f64 x))))
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2
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(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) y) 3)) (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 y)) (+.f64 1 (pow.f64 (exp.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2) 1) (+.f64 (pow.f64 (exp.f64 x) y) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 x y)) 2) -1) (+.f64 1 (exp.f64 (.f64 x y))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 2 y))) (+.f64 1 (pow.f64 (exp.f64 x) y)))
(pow.f64 (expm1.f64 (*.f64 x y)) 1)
(expm1.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x y))) 3)
(expm1.f64 (*.f64 x y))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x y)) 3) 1/3)
(expm1.f64 (*.f64 x y))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x y))) 2)
(expm1.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x y)) 2))
(fabs.f64 (expm1.f64 (*.f64 x y)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x y))))
(expm1.f64 (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 x y)))))
(expm1.f64 (*.f64 x y))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x y)) 3))
(expm1.f64 (*.f64 x y))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x y))))
(expm1.f64 (*.f64 x y))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 x y))) 1))
(expm1.f64 (*.f64 x y))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x y))))
(expm1.f64 (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) 1)
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(.f64 1 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(.f64 (+.f64 (exp.f64 x) 1) (exp.f64 (.f64 x (neg.f64 y))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1)
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (exp.f64 (*.f64 x (neg.f64 y)))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (exp.f64 (*.f64 x (neg.f64 y)))))
(.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (.f64 (pow.f64 (exp.f64 x) (neg.f64 y)) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(.f64 (pow.f64 (exp.f64 x) (neg.f64 y)) (.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (+.f64 -1 (neg.f64 (exp.f64 x))) (/.f64 1 (neg.f64 (pow.f64 (exp.f64 x) y))))
(.f64 (-.f64 -1 (exp.f64 x)) (/.f64 1 (neg.f64 (exp.f64 (.f64 x y)))))
(/.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (pow.f64 (exp.f64 x) y)))
(.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2)) (/.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x y))) 2)) (/.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 x y)))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) y))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (/.f64 (+.f64 (exp.f64 x) 1) (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(.f64 (/.f64 1 (sqrt.f64 (exp.f64 (.f64 x y)))) (/.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (exp.f64 (*.f64 x y)))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) y))) (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (exp.f64 x) y)))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x y))) 2)))
(.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (sqrt.f64 (pow.f64 (exp.f64 x) y))) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(.f64 (/.f64 1 (sqrt.f64 (exp.f64 (.f64 x y)))) (/.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (exp.f64 (*.f64 x y)))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 x)) (sqrt.f64 (pow.f64 (exp.f64 x) y))) (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) y)))
(.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (exp.f64 (.f64 x y))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) y)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (.f64 x y))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x y)))))
(.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (pow.f64 (expm1.f64 (.f64 x y)) 3))) (+.f64 1 (.f64 (expm1.f64 (.f64 x y)) (-.f64 (expm1.f64 (*.f64 x y)) 1))))
(.f64 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (expm1.f64 (.f64 x y)) 3))) (+.f64 1 (.f64 (expm1.f64 (.f64 x y)) (+.f64 (expm1.f64 (*.f64 x y)) -1))))
(.f64 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (expm1.f64 (.f64 x y)) 3))) (fma.f64 (expm1.f64 (.f64 x y)) (+.f64 -1 (expm1.f64 (.f64 x y))) 1))
(.f64 (/.f64 (+.f64 (exp.f64 x) 1) (-.f64 1 (pow.f64 (expm1.f64 (.f64 x y)) 2))) (-.f64 1 (expm1.f64 (*.f64 x y))))
(.f64 (/.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (expm1.f64 (.f64 x y)) 2))) (-.f64 1 (expm1.f64 (*.f64 x y))))
(.f64 (/.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (expm1.f64 (.f64 x y)) 2))) (-.f64 2 (pow.f64 (exp.f64 x) y)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1)
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (exp.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 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3)
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3) 1/3)
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2)
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (exp.f64 (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) -1)
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (exp.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 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (exp.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 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (/.f64 (+.f64 (exp.f64 x) 1) (neg.f64 (pow.f64 (exp.f64 x) y))))
(.f64 (-.f64 -1 (exp.f64 x)) (/.f64 1 (neg.f64 (exp.f64 (.f64 x y)))))
(/.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (pow.f64 (exp.f64 x) y)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(fabs.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) (pow.f64 (pow.f64 (exp.f64 x) y) 3)))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))

eval258.0ms (3.1%)

Compiler: Compiled 14937 to 8600 computations (42.4% saved)

prune90.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	529	5	534
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	532	10	542

Accuracy

100.0%

Counts

542 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	80.9%	(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
✓	83.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	76.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 x 1/8))))
▶	49.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	52.8%	(*.f64 y (neg.f64 x))
▶	35.9%	(*.f64 x (-.f64 1/2 y))
✓	54.3%	(log1p.f64 (exp.f64 x))
	52.4%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
▶	49.0%	(log.f64 2)
▶	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
	80.9%	(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
✓	83.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	76.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (.f64 x 1/8))))
▶	49.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	52.8%	(*.f64 y (neg.f64 x))
▶	35.9%	(*.f64 x (-.f64 1/2 y))
✓	54.3%	(log1p.f64 (exp.f64 x))
	52.4%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
▶	49.0%	(log.f64 2)

Compiler

Compiled 314 to 252 computations (19.7% saved)

localize114.0ms (1.4%)

Localize:

Found 5 expressions with local error:

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

Compiler

Compiled 88 to 63 computations (28.4% saved)

series5.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite104.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`log1p-expm1-u`
703×	`expm1-log1p-u`
506×	`expm1-udef`
504×	`log1p-udef`
238×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	123
1	279	107
2	4390	107

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

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

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

simplify597.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

798×	`cancel-sign-sub-inv`
614×	`associate-/l*`
610×	`times-frac`
484×	`fma-neg`
482×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	8734
1	754	7282
2	2732	7189

Stop Event

1×	node limit

Counts

205 → 174

Calls

Call 1

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

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

eval139.0ms (1.7%)

Compiler: Compiled 3264 to 2582 computations (20.9% saved)

prune42.0ms (0.5%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	200	11	211

Accuracy

100.0%

Counts

211 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	80.9%	(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
✓	83.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	56.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
✓	49.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	52.8%	(*.f64 y (neg.f64 x))
✓	35.9%	(*.f64 x (-.f64 1/2 y))
▶	3.6%	(*.f64 x 1/2)
✓	54.3%	(log1p.f64 (exp.f64 x))
▶	52.4%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
✓	49.0%	(log.f64 2)
✓	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶	80.9%	(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
✓	83.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	56.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
✓	49.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	52.8%	(*.f64 y (neg.f64 x))
✓	35.9%	(*.f64 x (-.f64 1/2 y))
▶	3.6%	(*.f64 x 1/2)
✓	54.3%	(log1p.f64 (exp.f64 x))
▶	52.4%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
✓	49.0%	(log.f64 2)

Compiler

Compiled 184 to 148 computations (19.6% saved)

localize184.0ms (2.2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 x (-.f64 1/2 y))
	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	99.0%	(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
✓	96.0%	(cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
✓	100.0%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 x 1/8)))
✓	99.9%	(/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y)))
✓	88.0%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))

Compiler

Compiled 120 to 80 computations (33.3% saved)

series22.0ms (0.3%)

Counts

6 → 88

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
3.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
2.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
1.0ms	y	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))

rewrite145.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`expm1-udef`
732×	`log1p-udef`
512×	`log1p-expm1-u`
334×	`associate-r`
203×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	202
1	431	170
2	6330	170

Stop Event

1×	node limit

Counts

6 → 191

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 (exp.f64 x)) (log.f64 (/.f64 1 (fma.f64 x y 1))))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (log1p.f64 (*.f64 x y))))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)))))
(-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x y 1) (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) (log.f64 (neg.f64 (fma.f64 x y 1))))
(.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y))))
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y))) 1)
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y)))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (.f64 x y)) 3)) (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) (+.f64 (.f64 (log1p.f64 (.f64 x y)) (log1p.f64 (.f64 x y))) (.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))))))
(/.f64 (-.f64 (.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x))) (.f64 (log1p.f64 (.f64 x y)) (log1p.f64 (.f64 x y)))) (+.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x y 1) (+.f64 (exp.f64 x) 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)))) 1)
(*.f64 1 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)))
(*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (fma.f64 x y 1)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (/.f64 1 (fma.f64 x y 1))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))) 2) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))))
(.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (/.f64 1 (fma.f64 x y 1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))) (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))))
(*.f64 (+.f64 -1 (neg.f64 (exp.f64 x))) (/.f64 1 (neg.f64 (fma.f64 x y 1))))
(*.f64 (/.f64 1 (fma.f64 x y 1)) (+.f64 (exp.f64 x) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2)) (/.f64 (+.f64 (exp.f64 x) 1) (cbrt.f64 (fma.f64 x y 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x y 1))) (/.f64 (+.f64 (exp.f64 x) 1) (sqrt.f64 (fma.f64 x y 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (fma.f64 x y 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2)) (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (sqrt.f64 (fma.f64 x y 1))) (/.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (fma.f64 x y 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (fma.f64 x y 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (fma.f64 x y 1))))
(.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 1 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x y))))
(.f64 (/.f64 (+.f64 (exp.f64 x) 1) (-.f64 1 (pow.f64 (.f64 x y) 2))) (-.f64 1 (*.f64 x y)))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))) 2)
(pow.f64 (/.f64 (fma.f64 x y 1) (+.f64 (exp.f64 x) 1)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (.f64 x y)))))
(neg.f64 (/.f64 (+.f64 (exp.f64 x) 1) (neg.f64 (fma.f64 x y 1))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) (pow.f64 (fma.f64 x y 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 x) 1) (fma.f64 x y 1))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 1/8 (pow.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 1/8 (pow.f64 x 2)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 1/8 (.f64 (pow.f64 x 3) 1/512))) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 1/16 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/512)) x) (+.f64 1/4 (-.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 1/16 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 -1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/8 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 1/2))))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2)))) (/.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(*.f64 1 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(*.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (log.f64 2) x) (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2)) (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (fma.f64 x 1/8 1/2)) (-.f64 (.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 x 1/8 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2)))
(pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(fma.f64 1 (*.f64 x (fma.f64 x 1/8 1/2)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (fma.f64 x 1/8 1/2) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) 2) (cbrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (sqrt.f64 (.f64 x (fma.f64 x 1/8 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (fma.f64 x 1/8 1/2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (cbrt.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (cbrt.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))))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)
(pow.f64 (cbrt.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)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (log.f64 (cbrt.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))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(-.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 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (.f64 (cbrt.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 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) 1) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))
(/.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 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 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 (log.f64 2) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 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 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (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)))

simplify145.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1318×	`fma-def`
1226×	`associate-l`
744×	`distribute-rgt-in`
722×	`distribute-lft-in`
606×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	891	21926
1	2668	19998

Stop Event

1×	node limit

Counts

279 → 408

Calls

Call 1

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

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

eval303.0ms (3.7%)

Compiler: Compiled 15381 to 11652 computations (24.2% saved)

prune77.0ms (0.9%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	487	0	487
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	487	11	498

Accuracy

100.0%

Counts

498 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.0%	(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓	80.9%	(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
✓	83.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	56.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
✓	49.6%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	52.8%	(*.f64 y (neg.f64 x))
✓	35.9%	(*.f64 x (-.f64 1/2 y))
✓	3.6%	(*.f64 x 1/2)
✓	54.3%	(log1p.f64 (exp.f64 x))
✓	52.4%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
✓	49.0%	(log.f64 2)

Compiler

Compiled 221 to 156 computations (29.4% saved)

regimes31.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
10.0ms	y
7.0ms	(-.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 146 to 94 computations (35.6% saved)

regimes51.0ms (0.6%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`x`
87.3%	5	`y`

Compiler

Compiled 61 to 45 computations (26.2% saved)

regimes13.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes15.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
90.3%	3	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes13.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
90.1%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
52.8%	1	`y`
52.8%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
3.6%	1	`x`
3.6%	1	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch36.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	-32621335126.655293	-2106587.583650392

Results

17.0ms	32×	body	1024	valid
12.0ms	87×	body	256	valid
3.0ms	3×	body	2048	valid
2.0ms	6×	body	512	valid

Compiler

Compiled 192 to 148 computations (22.9% saved)

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	-32621335126.655293	-2106587.583650392

Results

19.0ms	29×	body	1024	valid
13.0ms	91×	body	256	valid
2.0ms	2×	body	2048	valid
2.0ms	6×	body	512	valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.407865105710175e-47	7.417641326076308e-46
10.0ms	-1.726025207053407e-5	-4.906952709109958e-6

Results

23.0ms

192×

body

256

valid

Compiler

Compiled 215 to 175 computations (18.6% saved)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.407865105710175e-47	7.417641326076308e-46
13.0ms	-2.167961284787965e-21	-2.2918878832016673e-22

Results

25.0ms

208×

body

256

valid

Compiler

Compiled 179 to 149 computations (16.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
18×	`*-commutative`
10×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	333
1	67	333
2	78	333
3	83	333
4	85	333

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2200000) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(if (<=.f64 x -2200000) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3246626956972881/590295810358705651712) (.f64 y (neg.f64 x)) (if (<=.f64 x 4435149002154813/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5316911983139663/5316911983139663491615228241121378304) (.f64 y (neg.f64 x)) (if (<=.f64 x 4113761393303015/51422017416287688817342786954917203280710495801049370729644032) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2200000) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(if (<=.f64 x -2200000) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(if (<=.f64 x -2200000) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -2200000) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3246626956972881/590295810358705651712) (.f64 y (neg.f64 x)) (if (<=.f64 x 4435149002154813/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3246626956972881/590295810358705651712) (.f64 x (neg.f64 y)) (if (<=.f64 x 4435149002154813/6427752177035961102167848369364650410088811975131171341205504) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5316911983139663/5316911983139663491615228241121378304) (.f64 y (neg.f64 x)) (if (<=.f64 x 4113761393303015/51422017416287688817342786954917203280710495801049370729644032) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5316911983139663/5316911983139663491615228241121378304) (.f64 x (neg.f64 y)) (if (<=.f64 x 4113761393303015/51422017416287688817342786954917203280710495801049370729644032) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Compiler

Compiled 106 to 76 computations (28.3% saved)

soundness819.0ms (9.9%)

Rules

1540×	`times-frac`
1336×	`associate-l`
1336×	`associate-l`
1328×	`fma-def`
1258×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	70	226
2	126	210
3	283	210
4	465	210
5	764	210
6	1318	210
7	2782	210
8	5717	210
9	7862	210
0	741	21282
1	2144	19580
0	394	7047
1	1001	6857
2	2655	6800
3	7927	6800
0	741	21282
1	2144	19580
0	394	7047
1	1001	6857
2	2655	6800
3	7927	6800

Stop Event

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

Compiler

Compiled 143 to 102 computations (28.7% saved)

end0.0ms (0%)

preprocess85.0ms (1%)

Compiler: Compiled 266 to 168 computations (36.8% saved)

analyze0.0ms (0%)

sample3.2s (38.3%)

preprocess266.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize39.0ms (0.5%)

series12.0ms (0.1%)

rewrite123.0ms (1.5%)

simplify140.0ms (1.7%)

eval44.0ms (0.5%)

prune34.0ms (0.4%)

localize581.0ms (7%)

series119.0ms (1.4%)

rewrite174.0ms (2.1%)

simplify166.0ms (2%)

eval258.0ms (3.1%)

prune90.0ms (1.1%)

localize114.0ms (1.4%)

series5.0ms (0.1%)

rewrite104.0ms (1.3%)

simplify597.0ms (7.2%)

eval139.0ms (1.7%)

prune42.0ms (0.5%)

localize184.0ms (2.2%)

series22.0ms (0.3%)

rewrite145.0ms (1.8%)

simplify145.0ms (1.8%)

eval303.0ms (3.7%)

prune77.0ms (0.9%)

regimes31.0ms (0.4%)

regimes51.0ms (0.6%)

regimes13.0ms (0.2%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch36.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch26.0ms (0.3%)

bsearch28.0ms (0.3%)

simplify8.0ms (0.1%)

soundness819.0ms (9.9%)

end0.0ms (0%)

preprocess85.0ms (1%)

Profiling