Metrics for Logistic regression 2

analyze92.0ms (1.1%)

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)

sample3.6s (42.7%)

Results

2.1s	2685×	body	8192	exit
1.2s	7172×	body	256	valid
123.0ms	190×	body	1024	valid
98.0ms	679×	body	256	infinite
59.0ms	211×	body	512	valid
6.0ms	4×	body	2048	valid

Bogosity

preprocess297.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

253×	No Errors
3×	`(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
▶	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize64.0ms (0.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.9%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 20 to 7 computations (65% saved)

series53.0ms (0.6%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
21.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite185.0ms (2.2%)

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)))

simplify155.0ms (1.8%)

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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(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 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)))

eval101.0ms (1.2%)

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

prune46.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	237	6	243
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	237	7	244

Accuracy

99.4%

Counts

244 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	98.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	86.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.4%	(*.f64 (neg.f64 x) y)
	61.9%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
▶	86.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	98.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	98.9%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	86.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.4%	(*.f64 (neg.f64 x) y)
	61.9%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))

Compiler

Compiled 258 to 196 computations (24% saved)

localize616.0ms (7.3%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	97.9%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 107 to 63 computations (41.1% saved)

series67.0ms (0.8%)

Counts

7 → 107

Calls

36 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
13.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	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))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite136.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`log1p-expm1-u`
594×	`expm1-udef`
592×	`log1p-udef`
276×	`expm1-log1p-u`
260×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	174
1	368	154
2	4936	154

Stop Event

1×	node limit

Counts

7 → 236

Calls

Call 1

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

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

simplify193.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1440×	`fma-neg`
758×	`log-prod`
700×	`fma-def`
504×	`associate-r`
466×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	13779
1	1284	11839
2	5137	11829

Stop Event

1×	node limit

Counts

343 → 308

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

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

eval185.0ms (2.2%)

Compiler: Compiled 5669 to 3395 computations (40.1% saved)

prune73.0ms (0.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	301	7	308
Fresh	1	0	1
Picked	2	3	5
Done	1	0	1
Total	305	10	315

Accuracy

99.4%

Counts

315 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	91.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	36.6%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	49.4%	(*.f64 (neg.f64 x) y)
▶	50.6%	(*.f64 2 (log.f64 (sqrt.f64 2)))
▶	51.8%	(log1p.f64 (exp.f64 x))
▶	51.3%	(log.f64 2)
	67.2%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
✓	86.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	91.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	36.6%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	49.4%	(*.f64 (neg.f64 x) y)
▶	50.6%	(*.f64 2 (log.f64 (sqrt.f64 2)))
▶	51.8%	(log1p.f64 (exp.f64 x))
▶	51.3%	(log.f64 2)
	67.2%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

Compiler

Compiled 278 to 234 computations (15.8% saved)

localize173.0ms (2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	98.4%	(log.f64 (sqrt.f64 2))
	98.9%	(log1p.f64 (exp.f64 x))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.4%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 62 to 48 computations (22.6% saved)

series6.0ms (0.1%)

Counts

4 → 27

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
1.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	x	@	0	(+.f64 (log.f64 2) (*.f64 1/2 x))
0.0ms	y	@	inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	x	@	inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))

rewrite120.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`fma-def`
1088×	`log1p-expm1-u`
1088×	`expm1-log1p-u`
378×	`expm1-udef`
376×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	236	57
2	3309	57

Stop Event

1×	node limit

Counts

4 → 224

Calls

Call 1

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

simplify141.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1128×	`unswap-sqr`
932×	`distribute-lft-in`
878×	`distribute-rgt-in`
622×	`cancel-sign-sub-inv`
494×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	10594
1	835	9222
2	2612	6870

Stop Event

1×	node limit

Counts

251 → 224

Calls

Call 1

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

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

eval109.0ms (1.3%)

Compiler: Compiled 4548 to 2717 computations (40.3% saved)

prune95.0ms (1.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	308	3	311
Fresh	1	1	2
Picked	0	5	5
Done	1	2	3
Total	310	11	321

Accuracy

99.4%

Counts

321 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(fma.f64 (neg.f64 y) x (log.f64 2))
✓	91.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
✓	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	36.6%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	49.4%	(*.f64 (neg.f64 x) y)
▶	3.6%	(*.f64 x 1/2)
✓	50.6%	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	51.8%	(log1p.f64 (exp.f64 x))
✓	51.3%	(log.f64 2)
▶	50.8%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
▶	92.3%	(fma.f64 (neg.f64 y) x (log.f64 2))
✓	91.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
✓	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	36.6%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	49.4%	(*.f64 (neg.f64 x) y)
▶	3.6%	(*.f64 x 1/2)
✓	50.6%	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	51.8%	(log1p.f64 (exp.f64 x))
✓	51.3%	(log.f64 2)
▶	50.8%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

Compiler

Compiled 166 to 138 computations (16.9% saved)

localize168.0ms (2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 (neg.f64 y) x (log.f64 2))
✓	100.0%	(log.f64 (*.f64 x (-.f64 1/2 y)))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	97.8%	(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
✓	100.0%	(log.f64 (fma.f64 x 1/2 (log.f64 2)))
✓	99.9%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

Compiler

Compiled 81 to 58 computations (28.4% saved)

series80.0ms (0.9%)

Counts

6 → 120

Calls

30 calls:

Time	Variable		Point	Expression
51.0ms	x	@	0	(log.f64 (*.f64 x (-.f64 1/2 y)))
16.0ms	x	@	-inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
7.0ms	x	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
0.0ms	x	@	inf	(log.f64 (fma.f64 x 1/2 (log.f64 2)))
0.0ms	y	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))

rewrite105.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`prod-diff`
1128×	`log1p-expm1-u`
527×	`expm1-log1p-u`
398×	`expm1-udef`
396×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	130
1	264	122
2	3318	122

Stop Event

1×	node limit

Counts

6 → 162

Calls

Call 1

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

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

simplify157.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1622×	`times-frac`
744×	`log-prod`
564×	`fma-def`
544×	`fma-neg`
438×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	8425
1	1071	8065
2	3957	7973

Stop Event

1×	node limit

Counts

282 → 292

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))) (.f64 1/2 (/.f64 x (log.f64 2)))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (*.f64 1/2 (/.f64 x (log.f64 2))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 (log.f64 2) x)) (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 (log.f64 2) x)) (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)))))))
(*.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))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(log.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (.f64 1/2 x)) (.f64 -2 y))
(+.f64 (log.f64 (.f64 1/2 x)) (+.f64 (.f64 -2 y) (*.f64 -2 (pow.f64 y 2))))
(+.f64 (log.f64 (.f64 1/2 x)) (+.f64 (.f64 -8/3 (pow.f64 y 3)) (+.f64 (.f64 -2 y) (.f64 -2 (pow.f64 y 2)))))
(+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (.f64 1/2 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (.f64 1/2 (/.f64 1 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)))
(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 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (.f64 (.f64 x 1/2) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(*.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 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (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)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 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))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 0 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 1)
(*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 1))
(log1p.f64 (-.f64 (fma.f64 x 1/2 (log.f64 2)) 1))
(+.f64 (.f64 x 1/2) (.f64 x y))
(-.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 (.f64 x (+.f64 1/2 y)) 1)
(.f64 1 (.f64 x (+.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2))
(.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 (+.f64 1/2 y)) 2) (.f64 (cbrt.f64 (+.f64 1/2 y)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(.f64 (sqrt.f64 (.f64 x (+.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 (.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 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))
(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)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (+.f64 1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 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))))
(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 (exp.f64 (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)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 1 (*.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (+.f64 1/2 y)))
(+.f64 (log.f64 (+.f64 1/2 y)) (log.f64 x))
(+.f64 0 (log.f64 (*.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y)))) (log.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y)))))
(+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (+.f64 1/2 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))) 1)
(.f64 1 (log.f64 (.f64 x (+.f64 1/2 y))))
(.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 1)
(.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1/2 y)) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 (+.f64 1/2 y)) (log.f64 (+.f64 1/2 y))) (*.f64 (log.f64 x) (log.f64 (+.f64 1/2 y))))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 1/2 y)) (log.f64 (+.f64 1/2 y)))) (-.f64 (log.f64 x) (log.f64 (+.f64 1/2 y))))
(pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(exp.f64 (log.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 1))
(log1p.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) 1))
(+.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 x y) (log.f64 2))
(+.f64 (.f64 (.f64 x y) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x (log.f64 2)))) 1)
(*.f64 (fma.f64 y x (log.f64 2)) 1)
(*.f64 1 (fma.f64 y x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 2) (cbrt.f64 (fma.f64 y x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 y x (log.f64 2))) (sqrt.f64 (fma.f64 y x (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x y) (log.f64 2)))
(pow.f64 (fma.f64 y x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 y x (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 y x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y x (log.f64 2))))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(fma.f64 1/2 (/.f64 x (log.f64 2)) (log.f64 (log.f64 2)))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))) (.f64 1/2 (/.f64 x (log.f64 2)))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)) (*.f64 1/2 (/.f64 x (log.f64 2)))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/2 (/.f64 x (log.f64 2)) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)) (/.f64 x (/.f64 (log.f64 2) 1/2))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (*.f64 1/2 (/.f64 x (log.f64 2))))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)) (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (*.f64 1/2 (/.f64 x (log.f64 2))))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 (/.f64 x (log.f64 2)) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)) (fma.f64 1/24 (pow.f64 (/.f64 x (log.f64 2)) 3) (/.f64 x (/.f64 (log.f64 2) 1/2)))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 1/2 x))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (log.f64 1/2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (*.f64 2 (log.f64 2)) x)))
(+.f64 (/.f64 (.f64 2 (log.f64 2)) x) (log.f64 (.f64 1/2 x)))
(+.f64 (/.f64 (log.f64 2) (.f64 1/2 x)) (log.f64 (.f64 1/2 x)))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (*.f64 2 (log.f64 2)) x))))
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(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (-.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (.f64 (log.f64 2) (.f64 x (+.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (+.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (+.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (+.f64 1/2 y)) (-.f64 (.f64 x (+.f64 1/2 y)) (log.f64 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) 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)) (fma.f64 x (.f64 (+.f64 1/2 y) (-.f64 (*.f64 x (+.f64 1/2 y)) (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 (log.f64 2) 2) (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (+.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (+.f64 1/2 y)) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (+.f64 1/2 y))))
(pow.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 3)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)) 3) 1/3)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 2)
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)) 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 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)))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 1/2 y) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 1/2 y) x (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (+.f64 1/2 y))) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 x) (log.f64 (+.f64 1/2 y)))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 (+.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(+.f64 0 (log.f64 (*.f64 x (+.f64 1/2 y))))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y)))) (log.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y)))))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (+.f64 1/2 y)) 1))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))) 1)
(log.f64 (*.f64 x (+.f64 1/2 y)))
(.f64 1 (log.f64 (.f64 x (+.f64 1/2 y))))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 1)
(log.f64 (*.f64 x (+.f64 1/2 y)))
(.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1/2 y)) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 (+.f64 1/2 y)) (log.f64 (+.f64 1/2 y))) (*.f64 (log.f64 x) (log.f64 (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1/2 y)) 3)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (+.f64 1/2 y)) (-.f64 (log.f64 (+.f64 1/2 y)) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (+.f64 1/2 y)) 3)) (fma.f64 (log.f64 (+.f64 1/2 y)) (-.f64 (log.f64 (+.f64 1/2 y)) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 1/2 y)) (log.f64 (+.f64 1/2 y)))) (-.f64 (log.f64 x) (log.f64 (+.f64 1/2 y))))
(/.f64 (.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (-.f64 (log.f64 x) (log.f64 (+.f64 1/2 y)))) (-.f64 (log.f64 x) (log.f64 (+.f64 1/2 y))))
(/.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1/2 y))) (-.f64 (log.f64 x) (log.f64 (+.f64 1/2 y)))))
(/.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1)
(pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1)
(log.f64 (*.f64 x (+.f64 1/2 y)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))) 3)
(log.f64 (*.f64 x (+.f64 1/2 y)))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 3) 1/3)
(log.f64 (*.f64 x (+.f64 1/2 y)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))) 2)
(log.f64 (*.f64 x (+.f64 1/2 y)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 2))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 3))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(exp.f64 (log.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 1))
(log.f64 (*.f64 x (+.f64 1/2 y)))
(log1p.f64 (-.f64 (*.f64 x (+.f64 1/2 y)) 1))
(log1p.f64 (fma.f64 x (+.f64 1/2 y) -1))
(+.f64 (log.f64 2) (*.f64 x y))
(fma.f64 x y (log.f64 2))
(+.f64 (*.f64 x y) (log.f64 2))
(fma.f64 x y (log.f64 2))
(+.f64 (.f64 (.f64 x y) 1) (log.f64 2))
(fma.f64 x y (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x (log.f64 2)))) 1)
(fma.f64 x y (log.f64 2))
(*.f64 (fma.f64 y x (log.f64 2)) 1)
(fma.f64 x y (log.f64 2))
(*.f64 1 (fma.f64 y x (log.f64 2)))
(fma.f64 x y (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 2))
(fma.f64 x y (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 2) (cbrt.f64 (fma.f64 y x (log.f64 2))))
(fma.f64 x y (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 y x (log.f64 2))) (sqrt.f64 (fma.f64 y x (log.f64 2))))
(fma.f64 x y (log.f64 2))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (pow.f64 x 2) (pow.f64 y 2)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 y (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (pow.f64 x 2) (pow.f64 y 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x y) (log.f64 2)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x y) (log.f64 2)))
(/.f64 (fma.f64 (pow.f64 x 2) (pow.f64 y 2) (neg.f64 (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 x y) (log.f64 2)))
(pow.f64 (fma.f64 y x (log.f64 2)) 1)
(fma.f64 x y (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 3)
(fma.f64 x y (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 3) 1/3)
(fma.f64 x y (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 y x (log.f64 2))) 2)
(fma.f64 x y (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 2))
(fma.f64 x y (log.f64 2))
(log.f64 (exp.f64 (fma.f64 y x (log.f64 2))))
(fma.f64 x y (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (log.f64 2)))))
(fma.f64 x y (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 3))
(fma.f64 x y (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 y x (log.f64 2))))
(fma.f64 x y (log.f64 2))
(exp.f64 (log.f64 (fma.f64 y x (log.f64 2))))
(fma.f64 x y (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (log.f64 2))) 1))
(fma.f64 x y (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 y x (log.f64 2))))
(fma.f64 x y (log.f64 2))

eval468.0ms (5.5%)

Compiler: Compiled 4924 to 3958 computations (19.6% saved)

prune61.0ms (0.7%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	314	4	318
Fresh	0	0	0
Picked	2	2	4
Done	0	7	7
Total	316	13	329

Accuracy

99.4%

Counts

329 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.3%	(fma.f64 (neg.f64 y) x (log.f64 2))
✓	91.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
	21.0%	(+.f64 (log.f64 2) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y))))))
✓	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	21.0%	(+.f64 (log.f64 2) (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))) 3)))
	19.7%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 1/2 x))))
✓	49.4%	(*.f64 (neg.f64 x) y)
✓	3.6%	(*.f64 x 1/2)
✓	50.6%	(*.f64 2 (log.f64 (sqrt.f64 2)))
✓	51.8%	(log1p.f64 (exp.f64 x))
✓	51.3%	(log.f64 2)
	1.0%	(exp.f64 (+.f64 (/.f64 (.f64 2 (log.f64 2)) x) (log.f64 (.f64 1/2 x))))

Compiler

Compiled 304 to 233 computations (23.4% saved)

regimes42.0ms (0.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
13.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`y`
98.9%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 197 to 141 computations (28.4% saved)

regimes23.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
99.0%	2	`x`
92.3%	1	`y`

Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes12.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

11.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes31.0ms (0.4%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
73.8%	3	`y`
84.9%	4	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes13.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
84.6%	3	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
49.4%	1	`y`
49.4%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch30.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-43237.701414375864	-5573.610682529827

Results

15.0ms	27×	body	1024	valid
9.0ms	59×	body	256	valid
3.0ms	3×	body	2048	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 124 to 96 computations (22.6% saved)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-43237.701414375864	-5573.610682529827

Results

10.0ms	22×	body	1024	valid
9.0ms	64×	body	256	valid
5.0ms	10×	body	512	valid

Compiler

Compiled 112 to 84 computations (25% saved)

bsearch56.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1511047.4544398054	55211609.35976752
17.0ms	1.8490172312161513e-17	7.634776777864674e-16
20.0ms	-5573.610682529827	-0.1224864666502732

Results

48.0ms	351×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 368 to 298 computations (19% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.8490172312161513e-17	7.634776777864674e-16
19.0ms	-5573.610682529827	-0.1224864666502732

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 196 to 162 computations (17.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	317
1	68	307
2	84	307
3	92	303
4	95	303
5	96	303

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -5600) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5600) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1/8) (.f64 (neg.f64 x) y) (if (<=.f64 x 735237348132373/2535301200456458802993406410752) (+.f64 (log.f64 2) (.f64 1/2 x)) (if (<=.f64 x 55000000) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 1/2 x)))))
(if (<=.f64 x -1/8) (.f64 (neg.f64 x) y) (if (<=.f64 x 215500602038799/1267650600228229401496703205376) (log.f64 2) (.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 x) y)
(*.f64 x 1/2)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -5600) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5600) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5600) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5600) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5600) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5600) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1/8) (.f64 (neg.f64 x) y) (if (<=.f64 x 735237348132373/2535301200456458802993406410752) (+.f64 (log.f64 2) (.f64 1/2 x)) (if (<=.f64 x 55000000) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 1/2 x)))))
(if (<=.f64 x -1/8) (.f64 y (neg.f64 x)) (if (or (<=.f64 x 735237348132373/2535301200456458802993406410752) (not (<=.f64 x 55000000))) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 y (neg.f64 x))))
(if (or (<=.f64 x -1/8) (not (or (<=.f64 x 735237348132373/2535301200456458802993406410752) (not (<=.f64 x 55000000))))) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (or (<=.f64 x -1/8) (and (not (<=.f64 x 735237348132373/2535301200456458802993406410752)) (<=.f64 x 55000000))) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -1/8) (.f64 (neg.f64 x) y) (if (<=.f64 x 215500602038799/1267650600228229401496703205376) (log.f64 2) (.f64 (neg.f64 x) y)))
(if (or (<=.f64 x -1/8) (not (<=.f64 x 215500602038799/1267650600228229401496703205376))) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (or (<=.f64 x -1/8) (not (<=.f64 x 215500602038799/1267650600228229401496703205376))) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Compiler

Compiled 96 to 70 computations (27.1% saved)

soundness515.0ms (6.1%)

Rules

1570×	`fma-neg`
1540×	`times-frac`
1328×	`fma-def`
1128×	`unswap-sqr`
932×	`distribute-lft-in`

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
0	374	10594
1	835	9222
2	2612	6870

Stop Event

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

preprocess98.0ms (1.2%)

Compiler: Compiled 246 to 154 computations (37.4% saved)

analyze92.0ms (1.1%)

sample3.6s (42.7%)

preprocess297.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize64.0ms (0.8%)

series53.0ms (0.6%)

rewrite185.0ms (2.2%)

simplify155.0ms (1.8%)

eval101.0ms (1.2%)

prune46.0ms (0.5%)

localize616.0ms (7.3%)

series67.0ms (0.8%)

rewrite136.0ms (1.6%)

simplify193.0ms (2.3%)

eval185.0ms (2.2%)

prune73.0ms (0.9%)

localize173.0ms (2%)

series6.0ms (0.1%)

rewrite120.0ms (1.4%)

simplify141.0ms (1.7%)

eval109.0ms (1.3%)

prune95.0ms (1.1%)

localize168.0ms (2%)

series80.0ms (0.9%)

rewrite105.0ms (1.2%)

simplify157.0ms (1.9%)

eval468.0ms (5.5%)

prune61.0ms (0.7%)

regimes42.0ms (0.5%)

regimes23.0ms (0.3%)

regimes12.0ms (0.1%)

regimes31.0ms (0.4%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch30.0ms (0.4%)

bsearch26.0ms (0.3%)

bsearch56.0ms (0.7%)

bsearch34.0ms (0.4%)

simplify12.0ms (0.1%)

soundness515.0ms (6.1%)

end0.0ms (0%)

preprocess98.0ms (1.2%)

Profiling