Metrics for Logistic regression 2

analyze83.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.0s (44.1%)

Results

2.4s	2651×	body	8192	exit
1.3s	7135×	body	256	valid
105.0ms	226×	body	1024	valid
101.0ms	683×	body	256	infinite
67.0ms	207×	body	512	valid
4.0ms	5×	body	2048	valid

Bogosity

preprocess270.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Problems

251×	No Errors
5×	`(log.f64 (+.f64 1 (exp.f64 x)))`

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
▶	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize35.0ms (0.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.5%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 20 to 7 computations (65% saved)

series58.0ms (0.6%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
9.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite147.0ms (1.6%)

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	42
1	136	42
2	1758	42

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.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)))))
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(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (.f64 (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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(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)))

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1570×	`fma-neg`
798×	`cancel-sign-sub-inv`
582×	`times-frac`
550×	`log-prod`
502×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	8098
1	1202	7872
2	3635	7860

Stop Event

1×	node limit

Counts

229 → 243

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.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))))
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(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 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(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 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.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 -1 (.f64 x y))
(*.f64 (neg.f64 x) 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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) 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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) 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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) 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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(log1p.f64 (exp.f64 x))
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(.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 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(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 x (neg.f64 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)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.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)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 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)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 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 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 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 (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 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(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 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 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)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

eval64.0ms (0.7%)

Compiler: Compiled 4887 to 1546 computations (68.4% saved)

prune53.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	238	5	243
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	238	6	244

Accuracy

99.4%

Counts

244 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	92.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	78.9%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
▶	85.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	50.4%	(*.f64 (neg.f64 x) y)
▶	97.7%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	92.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	78.9%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
▶	85.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	50.4%	(*.f64 (neg.f64 x) y)

Compiler

Compiled 234 to 180 computations (23.1% saved)

localize601.0ms (6.6%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	98.1%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	97.4%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 139 to 87 computations (37.4% saved)

series65.0ms (0.7%)

Counts

10 → 132

Calls

51 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
13.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	x	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
2.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))

rewrite187.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`expm1-udef`
776×	`log1p-udef`
370×	`log1p-expm1-u`
336×	`associate-r`
213×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	272
1	450	248
2	6626	248

Stop Event

1×	node limit

Counts

10 → 328

Calls

Call 1

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

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

simplify245.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`log-prod`
1050×	`fma-def`
770×	`associate-r`
696×	`associate-l`
396×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	742	21608
1	1816	17728
2	7413	17722

Stop Event

1×	node limit

Counts

460 → 469

Calls

Call 1

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

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

eval236.0ms (2.6%)

Compiler: Compiled 9952 to 6755 computations (32.1% saved)

prune91.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	488	9	497
Fresh	0	0	0
Picked	3	2	5
Done	1	0	1
Total	492	11	503

Accuracy

99.4%

Counts

503 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (.f64 x y))
▶	91.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	40.1%	(+.f64 (log.f64 2) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
▶	53.1%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
	50.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	39.1%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	50.4%	(*.f64 (neg.f64 x) y)
▶	50.7%	(log1p.f64 (exp.f64 x))
▶	50.0%	(log.f64 2)
	64.8%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
	69.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (.f64 x y))
▶	91.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	40.1%	(+.f64 (log.f64 2) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
▶	53.1%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
	50.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	39.1%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	50.4%	(*.f64 (neg.f64 x) y)
▶	50.7%	(log1p.f64 (exp.f64 x))
▶	50.0%	(log.f64 2)
	64.8%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

Compiler

Compiled 392 to 324 computations (17.3% saved)

localize729.0ms (8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	99.7%	(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
✓	96.3%	(sqrt.f64 (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
✓	100.0%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
	98.8%	(log1p.f64 (exp.f64 x))
✓	99.4%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 114 to 84 computations (26.3% saved)

series12.0ms (0.1%)

Counts

6 → 22

Calls

24 calls:

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

rewrite147.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1101×	`log1p-expm1-u`
570×	`expm1-udef`
568×	`log1p-udef`
470×	`expm1-log1p-u`
244×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	356	140
2	4737	140

Stop Event

1×	node limit

Counts

6 → 194

Calls

Call 1

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

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

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1814×	`times-frac`
646×	`log-prod`
632×	`fma-neg`
512×	`associate-r`
470×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	10211
1	1119	8412
2	4289	8390

Stop Event

1×	node limit

Counts

216 → 288

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 x) (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 x) (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 (sqrt.f64 x) (sqrt.f64 1/2))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 x) (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 x) (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 (sqrt.f64 x) (sqrt.f64 1/2)))))
(*.f64 x (pow.f64 (sqrt.f64 1/2) 2))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 1/2) 2)) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2)))))))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4))) (*.f64 1/8 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4))))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 1/2) 2)) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4))) (*.f64 1/8 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4)))))))))
(+.f64 0 (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(*.f64 1/2 (log.f64 2))
(*.f64 1 (log.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 2))) 1))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 1)
(.f64 1 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))))
(.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))))))
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(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.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 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(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 (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 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1/2 x)
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 x) (sqrt.f64 1/2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2))) (.f64 (sqrt.f64 x) (sqrt.f64 1/2)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 1/2) (.f64 (sqrt.f64 x) (.f64 (/.f64 y (sqrt.f64 1/2)) -1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 x) (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 (sqrt.f64 x) (sqrt.f64 1/2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2)) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 (sqrt.f64 x) (sqrt.f64 1/2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2))) (fma.f64 (sqrt.f64 x) (sqrt.f64 1/2) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2)) (.f64 1/2 (sqrt.f64 1/2))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2))) (fma.f64 (sqrt.f64 x) (sqrt.f64 1/2) (.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 x) (pow.f64 y 2)) (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 x) (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 x) (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)))) (*.f64 (sqrt.f64 x) (sqrt.f64 1/2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2)) (pow.f64 (sqrt.f64 1/2) 3)) (fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 x) (pow.f64 y 3)) (pow.f64 (sqrt.f64 1/2) 5)) (.f64 (sqrt.f64 x) (sqrt.f64 1/2)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2))) (fma.f64 -1/8 (/.f64 (.f64 (sqrt.f64 x) (pow.f64 y 2)) (.f64 1/2 (sqrt.f64 1/2))) (fma.f64 (sqrt.f64 x) (sqrt.f64 1/2) (.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 x) (pow.f64 y 3)) (pow.f64 (sqrt.f64 1/2) 5))))))
(+.f64 (fma.f64 -1/16 (/.f64 (.f64 (sqrt.f64 x) (pow.f64 y 3)) (pow.f64 (sqrt.f64 1/2) 5)) (.f64 (sqrt.f64 x) (sqrt.f64 1/2))) (fma.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 1/2))) (.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 x) (pow.f64 y 2)) (sqrt.f64 1/2)))))
(*.f64 x (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 1/2) 2)) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2)))))))
(fma.f64 -1 (.f64 x y) (fma.f64 x (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 y 2) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2)) 0))))
(+.f64 (.f64 (pow.f64 y 2) 0) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4))) (*.f64 1/8 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4))))))))
(fma.f64 -1 (.f64 x y) (fma.f64 x (pow.f64 (sqrt.f64 1/2) 2) (fma.f64 (pow.f64 y 2) (.f64 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2)) 0) (.f64 (pow.f64 y 3) (.f64 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4)) 0)))))
(+.f64 (fma.f64 (pow.f64 y 2) 0 (.f64 (pow.f64 y 3) 0)) (.f64 x (-.f64 1/2 y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 1/2) 2)) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))))))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (fma.f64 x (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 y 2) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2)) 0)))))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (*.f64 (pow.f64 y 2) 0))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 x (pow.f64 (sqrt.f64 1/2) 2)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/4 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4))) (*.f64 1/8 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4)))))))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (fma.f64 x (pow.f64 (sqrt.f64 1/2) 2) (fma.f64 (pow.f64 y 2) (.f64 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2)) 0) (.f64 (pow.f64 y 3) (.f64 (/.f64 x (pow.f64 (sqrt.f64 1/2) 4)) 0))))))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 (pow.f64 y 2) 0 (*.f64 (pow.f64 y 3) 0)))
(+.f64 0 (log.f64 (sqrt.f64 2)))
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(log.f64 (sqrt.f64 2))
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(log.f64 (sqrt.f64 2))
(*.f64 1/2 (log.f64 2))
(.f64 2 (.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(*.f64 1 (log.f64 (sqrt.f64 2)))
(log.f64 (sqrt.f64 2))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(log.f64 (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(log.f64 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(log.f64 (sqrt.f64 2))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(log.f64 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(log.f64 (sqrt.f64 2))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(log.f64 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(log.f64 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 2))) 1))
(log.f64 (sqrt.f64 2))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(log1p.f64 (+.f64 (sqrt.f64 2) -1))
(log1p.f64 (+.f64 -1 (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))) 1)
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) 2)) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) 2)) (-.f64 (log.f64 2) (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2)))))
(.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 1)
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(.f64 1 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) (-.f64 (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) 2)) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) 2)) (-.f64 (log.f64 2) (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) (-.f64 (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) 2)) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) 2)) (-.f64 (log.f64 2) (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (log.f64 2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (fma.f64 1/2 x (.f64 1/8 (pow.f64 x 2))) (-.f64 (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (.f64 1/2 x))))))
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(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.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 (-.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 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.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) 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 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (.f64 x (-.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 (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 (-.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 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 (+.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 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 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)) 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 (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 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (.f64 x (-.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 (-.f64 1/2 y) (.f64 (log.f64 2) x)))))
(/.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 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (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 (-.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))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 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)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 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))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 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))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 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))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 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)))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval214.0ms (2.4%)

Compiler: Compiled 6865 to 5413 computations (21.2% saved)

prune116.0ms (1.3%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	376	3	379
Fresh	0	4	4
Picked	1	4	5
Done	0	2	2
Total	377	13	390

Accuracy

99.4%

Counts

390 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (.f64 x y))
✓	91.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	53.1%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
▶	84.4%	(+.f64 (log.f64 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y))))
▶	50.6%	(+.f64 (log.f64 2) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
▶	50.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	39.1%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	50.4%	(*.f64 (neg.f64 x) y)
▶	6.0%	(*.f64 1/8 (pow.f64 x 2))
✓	50.7%	(log1p.f64 (exp.f64 x))
✓	50.0%	(log.f64 2)
	64.8%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
▶	69.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (.f64 x y))
✓	91.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	53.1%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
▶	84.4%	(+.f64 (log.f64 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y))))
▶	50.6%	(+.f64 (log.f64 2) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
▶	50.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	39.1%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	50.4%	(*.f64 (neg.f64 x) y)
▶	6.0%	(*.f64 1/8 (pow.f64 x 2))
✓	50.7%	(log1p.f64 (exp.f64 x))
✓	50.0%	(log.f64 2)
	64.8%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

Compiler

Compiled 408 to 334 computations (18.1% saved)

localize254.0ms (2.8%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
✓	98.9%	(pow.f64 (sqrt.f64 1/2) 2)
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (.f64 x y))
✓	100.0%	(sqrt.f64 (+.f64 2 x))
✓	99.0%	(log.f64 (sqrt.f64 (+.f64 2 x)))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	99.9%	(*.f64 (cbrt.f64 x) (-.f64 1/2 y))
✓	99.7%	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
✓	99.4%	(pow.f64 (cbrt.f64 x) 2)
✓	99.3%	(cbrt.f64 x)

Compiler

Compiled 136 to 96 computations (29.4% saved)

series23.0ms (0.3%)

Counts

10 → 68

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (.f64 x y))
3.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
1.0ms	y	@	0	(*.f64 (cbrt.f64 x) (-.f64 1/2 y))
1.0ms	x	@	0	(cbrt.f64 x)
1.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 2 x)))

rewrite146.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`log1p-expm1-u`
680×	`expm1-udef`
676×	`log1p-udef`
328×	`associate-r`
192×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	179
1	485	161
2	5541	161

Stop Event

1×	node limit

Counts

10 → 253

Calls

Call 1

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

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

simplify141.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-neg`
910×	`times-frac`
768×	`log-prod`
606×	`associate-r`
558×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	10503
1	1239	9679
2	4722	9667

Stop Event

1×	node limit

Counts

321 → 321

Calls

Call 1

Inputs
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 1/2 (pow.f64 (.f64 1 x) 1/3))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 x) 1/3) y))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 x) 1/3) y))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 x) 1/3) y)) (.f64 1/2 (pow.f64 (*.f64 1 x) 1/3)))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 6))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 6))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(log.f64 2)
(*.f64 x (pow.f64 (sqrt.f64 1/2) 2))
(*.f64 x (pow.f64 (sqrt.f64 1/2) 2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2)))))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (cbrt.f64 (pow.f64 x 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 x 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 x 2)))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 x 2)))) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 2))) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 x 2))))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 x) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 x 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x 2))))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(cbrt.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y)) 3) (pow.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 (cbrt.f64 x) 1/2) (.f64 (cbrt.f64 x) (neg.f64 y)))
(+.f64 (.f64 1/2 (cbrt.f64 x)) (.f64 (neg.f64 y) (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))) 1)
(/.f64 (.f64 (cbrt.f64 x) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (cbrt.f64 x) (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) (cbrt.f64 x)) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) (cbrt.f64 x)) (+.f64 y 1/2))
(pow.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 x (pow.f64 (-.f64 1/2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) x))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 -1/2 x))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (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 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x 1/2) 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 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 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 x 1/2)))))
(/.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 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (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 x 1/2) (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x 2))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x 2))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2)))))
(+.f64 (log.f64 (pow.f64 (+.f64 x 2) 1/4)) (log.f64 (pow.f64 (+.f64 x 2) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))) 1)
(*.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1)
(*.f64 1/2 (log.f64 (+.f64 x 2)))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2)))) 1)
(*.f64 (sqrt.f64 (+.f64 x 2)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (sqrt.f64 (+.f64 x 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) (cbrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (+.f64 x 2) 1/4) (pow.f64 (+.f64 x 2) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 2))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(pow.f64 (+.f64 x 2) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (+.f64 x 2) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 2) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x 2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x 2)))))
(fabs.f64 (sqrt.f64 (+.f64 x 2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (+.f64 x 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 2))))
(+.f64 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 (+.f64 x 2)) (.f64 (.f64 x (neg.f64 y)) 1))
(+.f64 (log.f64 (+.f64 x 2)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x 2)))
(.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) 1)
(.f64 1 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)))
(.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (.f64 (.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (.f64 (.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (.f64 x y)))) (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (.f64 (.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log.f64 (+.f64 x 2)) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (.f64 (.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 (+.f64 x 2)) (.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 (log.f64 (+.f64 x 2)) (.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log.f64 (+.f64 x 2)) (.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) 2) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))) (-.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 2))
(log.f64 (/.f64 (+.f64 x 2) (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (sqrt.f64 (+.f64 x 2))) 2 (*.f64 x (neg.f64 y)))
(fma.f64 1 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2) (cbrt.f64 (log.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (log.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
1/2
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 -1/2 x))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (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 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x 1/2) 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 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 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 x 1/2)))))
(/.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 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (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 x 1/2) (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))

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

eval181.0ms (2%)

Compiler: Compiled 6104 to 4255 computations (30.3% saved)

prune84.0ms (0.9%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	341	5	346
Fresh	1	1	2
Picked	2	3	5
Done	0	6	6
Total	344	15	359

Accuracy

99.4%

Counts

359 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	53.1%	(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
	69.4%	(+.f64 (log.f64 2) (.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 x))) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y))))
	84.2%	(+.f64 (log.f64 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (-.f64 1/2 y))) 3)))
	50.6%	(+.f64 (log.f64 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 1/2 (cbrt.f64 x))))
✓	50.6%	(+.f64 (log.f64 2) (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
✓	50.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	39.1%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	50.4%	(*.f64 (neg.f64 x) y)
	48.8%	(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 2))))
✓	6.0%	(*.f64 1/8 (pow.f64 x 2))
✓	50.7%	(log1p.f64 (exp.f64 x))
✓	50.0%	(log.f64 2)
	49.6%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

Compiler

Compiled 377 to 286 computations (24.1% saved)

regimes50.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	y
12.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 239 to 170 computations (28.9% saved)

regimes17.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
98.8%	2	`x`
92.5%	1	`y`

Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes28.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
70.1%	3	`y`
82.3%	3	`x`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
50.4%	1	`y`
50.4%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-3.915470392922213	-9.844793586550705e-5

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-13628242.93709942	-3.915470392922213

Results

17.0ms	130×	body	256	valid
3.0ms	10×	body	512	valid
2.0ms	4×	body	1024	valid

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.1258837215469686e-24	1.7905250082360144e-13
11.0ms	-1.5948195491333263e-64	-7.038797458252334e-65

Results

29.0ms

240×

body

256

valid

Compiler

Compiled 196 to 162 computations (17.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	210
1	56	210
2	69	210
3	74	210
4	76	210

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -75) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (.f64 (neg.f64 x) y) (if (<=.f64 x 1595073594941899/2658455991569831745807614120560689152) (log.f64 2) (.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 x) y)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -75) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -75) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -75) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (.f64 (neg.f64 x) y) (if (<=.f64 x 1595073594941899/2658455991569831745807614120560689152) (log.f64 2) (.f64 (neg.f64 x) y)))
(if (or (<=.f64 x -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (not (<=.f64 x 1595073594941899/2658455991569831745807614120560689152))) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (or (<=.f64 x -5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (not (<=.f64 x 1595073594941899/2658455991569831745807614120560689152))) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))

Compiler

Compiled 66 to 47 computations (28.8% saved)

soundness409.0ms (4.5%)

Rules

1570×	`fma-neg`
1540×	`times-frac`
1328×	`fma-def`
800×	`fma-neg`
798×	`cancel-sign-sub-inv`

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	496	8098
1	1202	7872
2	3635	7860

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 34 to 20 computations (41.2% saved)

end0.0ms (0%)

preprocess65.0ms (0.7%)

Compiler: Compiled 194 to 120 computations (38.1% saved)

analyze83.0ms (0.9%)

sample4.0s (44.1%)

preprocess270.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (0.4%)

series58.0ms (0.6%)

rewrite147.0ms (1.6%)

simplify116.0ms (1.3%)

eval64.0ms (0.7%)

prune53.0ms (0.6%)

localize601.0ms (6.6%)

series65.0ms (0.7%)

rewrite187.0ms (2.1%)

simplify245.0ms (2.7%)

eval236.0ms (2.6%)

prune91.0ms (1%)

localize729.0ms (8%)

series12.0ms (0.1%)

rewrite147.0ms (1.6%)

simplify116.0ms (1.3%)

eval214.0ms (2.4%)

prune116.0ms (1.3%)

localize254.0ms (2.8%)

series23.0ms (0.3%)

rewrite146.0ms (1.6%)

simplify141.0ms (1.6%)

eval181.0ms (2%)

prune84.0ms (0.9%)

regimes50.0ms (0.5%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes28.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch24.0ms (0.3%)

bsearch32.0ms (0.4%)

simplify6.0ms (0.1%)

soundness409.0ms (4.5%)

end0.0ms (0%)

preprocess65.0ms (0.7%)

Profiling