Metrics for Logistic regression 2

analyze75.0ms (0.7%)

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)

sample3.8s (35.8%)

Results

2.4s	2665×	body	8192	exit
1.1s	7122×	body	256	valid
113.0ms	705×	body	256	infinite
98.0ms	210×	body	1024	valid
57.0ms	218×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess483.0ms (4.5%)

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
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize34.0ms (0.3%)

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 (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
23.0ms	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	y	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite215.0ms (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)))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (.f64 (cbrt.f64 x) (.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (.f64 y (pow.f64 (cbrt.f64 x) 2)) (.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 y (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
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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)))

simplify119.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

229 → 243

Calls

Call 1

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

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

eval99.0ms (0.9%)

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

prune42.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	239	4	243
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	239	5	244

Accuracy

99.4%

Counts

244 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	84.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	48.7%	(*.f64 (neg.f64 x) y)
▶	98.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	84.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	48.7%	(*.f64 (neg.f64 x) y)

Compiler

Compiled 94 to 70 computations (25.5% saved)

localize431.0ms (4%)

Localize:

Found 7 expressions with local error:

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

Compiler

Compiled 91 to 52 computations (42.9% saved)

series64.0ms (0.6%)

Counts

7 → 87

Calls

33 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
16.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
3.0ms	y	@	-inf	(*.f64 x (-.f64 1/2 y))
2.0ms	x	@	0	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))

rewrite133.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1155×	`log1p-expm1-u`
594×	`expm1-udef`
592×	`log1p-udef`
275×	`expm1-log1p-u`
260×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	171
1	347	147
2	4912	147

Stop Event

1×	node limit

Counts

7 → 233

Calls

Call 1

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

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

simplify151.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1428×	`fma-neg`
758×	`log-prod`
730×	`fma-def`
590×	`associate-r`
554×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	574	12658
1	1408	10662
2	5597	10644

Stop Event

1×	node limit

Counts

320 → 347

Calls

Call 1

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

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

eval137.0ms (1.3%)

Compiler: Compiled 6443 to 3929 computations (39% saved)

prune68.0ms (0.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	340	7	347
Fresh	0	0	0
Picked	1	3	4
Done	1	0	1
Total	342	10	352

Accuracy

99.4%

Counts

352 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	90.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	53.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	83.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	84.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	65.6%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	48.7%	(*.f64 (neg.f64 x) y)
▶	53.0%	(log1p.f64 (exp.f64 x))
▶	52.7%	(log.f64 2)
	65.6%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
▶	90.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	90.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	53.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	83.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	84.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	65.6%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	48.7%	(*.f64 (neg.f64 x) y)
▶	53.0%	(log1p.f64 (exp.f64 x))
▶	52.7%	(log.f64 2)
	65.6%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

Compiler

Compiled 304 to 252 computations (17.1% saved)

localize266.0ms (2.5%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	99.0%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
✓	95.8%	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
	99.2%	(log1p.f64 (exp.f64 x))
✓	100.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.9%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 88 to 63 computations (28.4% saved)

series11.0ms (0.1%)

Counts

6 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	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))
1.0ms	y	@	inf	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms	y	@	0	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms	x	@	inf	(log1p.f64 (*.f64 x (-.f64 1/2 y)))

rewrite120.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1087×	`log1p-expm1-u`
564×	`expm1-udef`
562×	`log1p-udef`
363×	`expm1-log1p-u`
266×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	129
1	343	115
2	4894	115

Stop Event

1×	node limit

Counts

6 → 197

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 2))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))

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

simplify187.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1334×	`fma-neg`
890×	`fma-def`
762×	`log-prod`
558×	`associate-r`
470×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	11098
1	1392	10390
2	5489	10386

Stop Event

1×	node limit

Counts

305 → 333

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

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

eval179.0ms (1.7%)

Compiler: Compiled 7452 to 5430 computations (27.1% saved)

prune122.0ms (1.1%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	418	7	425
Fresh	1	1	2
Picked	2	3	5
Done	0	3	3
Total	421	14	435

Accuracy

99.4%

Counts

435 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.2%	(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) 1)
✓	90.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	53.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	83.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	84.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	65.2%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3)))
	14.4%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))))
	4.3%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 x (-.f64 1/2 y)))))))
▶	52.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	48.7%	(*.f64 (neg.f64 x) y)
▶	3.6%	(*.f64 x 1/2)
✓	53.0%	(log1p.f64 (exp.f64 x))
✓	52.7%	(log.f64 2)
▶	52.0%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
	83.2%	(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) 1)
✓	90.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	53.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	83.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	84.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	65.2%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3)))
	14.4%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))))
	4.3%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 x (-.f64 1/2 y)))))))
▶	52.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	48.7%	(*.f64 (neg.f64 x) y)
▶	3.6%	(*.f64 x 1/2)
✓	53.0%	(log1p.f64 (exp.f64 x))
✓	52.7%	(log.f64 2)
▶	52.0%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

Compiler

Compiled 526 to 442 computations (16% saved)

localize301.0ms (2.8%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	100.0%	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
✓	99.4%	(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
✓	99.3%	(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3)
✓	99.3%	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3))
✓	100.0%	(fma.f64 x 1/2 (log.f64 2))
✓	100.0%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
✓	99.9%	(log.f64 (fma.f64 x 1/2 (log.f64 2)))
✓	100.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	100.0%	(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	99.3%	(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
✓	99.3%	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)

Compiler

Compiled 156 to 119 computations (23.7% saved)

series133.0ms (1.2%)

Counts

11 → 138

Calls

51 calls:

Time	Variable		Point	Expression
41.0ms	y	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3)
13.0ms	y	@	inf	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3))
12.0ms	x	@	inf	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3))
11.0ms	x	@	-inf	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3))
8.0ms	y	@	-inf	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3))

rewrite170.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`log1p-expm1-u`
950×	`expm1-log1p-u`
498×	`expm1-udef`
496×	`log1p-udef`
226×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	218
1	369	214
2	4128	214

Stop Event

1×	node limit

Counts

11 → 359

Calls

Call 1

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

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

simplify657.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1026×	`distribute-rgt-in`
1010×	`distribute-lft-in`
824×	`*-commutative`
702×	`times-frac`
670×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1352	72347
1	4315	65775

Stop Event

1×	node limit

Counts

497 → 530

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 (pow.f64 1 1/3) x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) x)) (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))))
(fma.f64 1/2 x (.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) x)) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))))
(fma.f64 1/2 x (fma.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (.f64 (pow.f64 y 2) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)))))))
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(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
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(log.f64 2)
(log.f64 2)
(log.f64 2)
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(fma.f64 1/2 x (log.f64 2))
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(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 2) (pow.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))) 1/6)) (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 1/6))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 2))
(fabs.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) 1))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 3))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 1))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))) 1)
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 1)
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 1 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 2))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))) 1/6) (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 1/6))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (sqrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))
(pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 1/3)
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 3)
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 1/6) 2)
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(fabs.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x (-.f64 1/2 y)))) 1/3))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 x (-.f64 1/2 y))))) 1))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))

eval1.4s (13%)

Compiler: Compiled 57770 to 46876 computations (18.9% saved)

prune155.0ms (1.4%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	671	8	679
Fresh	0	3	3
Picked	2	3	5
Done	0	6	6
Total	673	20	693

Accuracy

99.4%

Counts

693 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.2%	(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) 1)
✓	90.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	53.2%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	53.2%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
	18.5%	(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 4) 1/18)) (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) x) (.f64 x (-.f64 1/2 y))) -1))
✓	84.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
	65.0%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 3) 3)))
	3.5%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 1 (.f64 x (-.f64 1/2 y))))) (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)) 3)))
	14.0%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))) 3)))
	52.0%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x 1/2))) 3)))
	14.4%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))))
	4.3%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 1 (.f64 x (-.f64 1/2 y))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 1 (.f64 x (-.f64 1/2 y))))) (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))))))
	4.3%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 x (-.f64 1/2 y)))))))
✓	52.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	48.7%	(*.f64 (neg.f64 x) y)
✓	3.6%	(*.f64 x 1/2)
✓	53.0%	(log1p.f64 (exp.f64 x))
✓	52.7%	(log.f64 2)
	1.1%	(exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 (log.f64 2) x))))
✓	52.0%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

Compiler

Compiled 792 to 651 computations (17.8% saved)

regimes65.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 (neg.f64 x) y)
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (-.f64 1/2 y)) 1)) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
(exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 (log.f64 2) x))))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 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) (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 x (-.f64 1/2 y)))))))
(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x 1/2))) 3)))
(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3)))
(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))) 3)))
(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 3) 3)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 4) 1/18)) (-.f64 1/2 y)) (.f64 x (-.f64 1/2 y))) x) (.f64 x (-.f64 1/2 y))) -1))
(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/9) (/.f64 1 (.f64 x (-.f64 1/2 y))))) (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)) 3)))
(+.f64 (log.f64 2) (expm1.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 1 (.f64 x (-.f64 1/2 y))))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/9) (/.f64 1 (.f64 x (-.f64 1/2 y))))) (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))))))

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

Calls

3 calls:

22.0ms	x
19.0ms	y
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 434 to 345 computations (20.5% saved)

regimes26.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
99.1%	2	`x`
90.8%	1	`y`

Compiler

Compiled 52 to 39 computations (25% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes52.0ms (0.5%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	y
18.0ms	x

Results

Accuracy	Segments	Branch
71.2%	5	`y`
86.3%	2	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes16.0ms (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:

15.0ms

Results

Accuracy	Segments	Branch
87.5%	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
48.7%	1	`y`
48.7%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-244924.26617294928	-0.46599516421775317

Results

22.0ms	138×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-244924.26617294928	-0.46599516421775317

Results

30.0ms	138×	body	256	valid
2.0ms	5×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-8.380687671099729e-11	-1.9984333052898312e-11

Results

12.0ms

96×

body

256

valid

Compiler

Compiled 112 to 90 computations (19.6% saved)

bsearch52.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	2.6066395178090525e-41	4.243677121570306e-35
13.0ms	-8.380687671099729e-11	-1.9984333052898312e-11

Results

49.0ms

240×

body

256

valid

Compiler

Compiled 196 to 162 computations (17.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	269
1	61	269
2	74	269
3	79	269
4	81	269

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -49/2) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3172221350668787/77371252455336267181195264) (.f64 (neg.f64 x) y) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -3172221350668787/77371252455336267181195264) (.f64 (neg.f64 x) y) (if (<=.f64 x 8620287417370625/383123885216472214589586756787577295904684780545900544) (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 -3152519739159347/2251799813685248) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -49/2) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -49/2) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -49/2) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3172221350668787/77371252455336267181195264) (.f64 (neg.f64 x) y) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -3172221350668787/77371252455336267181195264) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -3172221350668787/77371252455336267181195264) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -3172221350668787/77371252455336267181195264) (.f64 (neg.f64 x) y) (if (<=.f64 x 8620287417370625/383123885216472214589586756787577295904684780545900544) (log.f64 2) (.f64 (neg.f64 x) y)))
(if (or (<=.f64 x -3172221350668787/77371252455336267181195264) (not (<=.f64 x 8620287417370625/383123885216472214589586756787577295904684780545900544))) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (or (<=.f64 x -3172221350668787/77371252455336267181195264) (not (<=.f64 x 8620287417370625/383123885216472214589586756787577295904684780545900544))) (*.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 87 to 63 computations (27.6% saved)

soundness682.0ms (6.4%)

Rules

1570×	`fma-neg`
1540×	`times-frac`
1428×	`fma-neg`
1334×	`fma-neg`
1328×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	70	226
2	126	210
3	283	210
4	465	210
5	764	210
6	1318	210
7	2782	210
8	5717	210
9	7862	210
0	496	8098
1	1202	7872
2	3635	7860
0	574	12658
1	1408	10662
2	5597	10644
0	546	11098
1	1392	10390
2	5489	10386

Stop Event

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

Compiler

Compiled 56 to 38 computations (32.1% saved)

end0.0ms (0%)

preprocess93.0ms (0.9%)

Compiler: Compiled 228 to 140 computations (38.6% saved)

analyze75.0ms (0.7%)

sample3.8s (35.8%)

preprocess483.0ms (4.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (0.3%)

series53.0ms (0.5%)

rewrite215.0ms (2%)

simplify119.0ms (1.1%)

eval99.0ms (0.9%)

prune42.0ms (0.4%)

localize431.0ms (4%)

series64.0ms (0.6%)

rewrite133.0ms (1.2%)

simplify151.0ms (1.4%)

eval137.0ms (1.3%)

prune68.0ms (0.6%)

localize266.0ms (2.5%)

series11.0ms (0.1%)

rewrite120.0ms (1.1%)

simplify187.0ms (1.7%)

eval179.0ms (1.7%)

prune122.0ms (1.1%)

localize301.0ms (2.8%)

series133.0ms (1.2%)

rewrite170.0ms (1.6%)

simplify657.0ms (6.1%)

eval1.4s (13%)

prune155.0ms (1.4%)

regimes65.0ms (0.6%)

regimes26.0ms (0.2%)

regimes10.0ms (0.1%)

regimes52.0ms (0.5%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch27.0ms (0.2%)

bsearch34.0ms (0.3%)

bsearch13.0ms (0.1%)

bsearch52.0ms (0.5%)

simplify7.0ms (0.1%)

soundness682.0ms (6.4%)

end0.0ms (0%)

preprocess93.0ms (0.9%)

Profiling