Metrics for Logistic regression 2

analyze82.0ms (0.9%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.9s (44%)

Results

2.4s	2548×	body	8192	exit
1.2s	7147×	body	256	valid
105.0ms	689×	body	256	infinite
102.0ms	196×	body	1024	valid
61.0ms	223×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess308.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

254×	No Errors
2×	`(log.f64 (+.f64 1 (exp.f64 x)))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	286	210
4	468	210
5	769	210
6	1322	210
7	2788	210
8	5719	210
9	7847	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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.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 (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 16 to 8 computations (50% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize35.0ms (0.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 20 to 7 computations (65% saved)

series55.0ms (0.6%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
21.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite228.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`prod-diff`
970×	`unpow-prod-down`
674×	`log-prod`
638×	`log1p-expm1-u`
638×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	136	42
2	1761	42

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

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

simplify129.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	8098
1	1202	7872
2	3640	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)))))
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(fma.f64 1 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (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 (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 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (neg.f64 (cbrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
(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 (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 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log1p.f64 (exp.f64 x)))
(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 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 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 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 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)))
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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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 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)))

eval73.0ms (0.8%)

Compiler: Compiled 4887 to 1547 computations (68.3% saved)

prune41.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Accuracy

99.8%

Counts

244 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.6%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
▶	98.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	83.6%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	51.3%	(*.f64 (neg.f64 x) y)
▶	83.6%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
▶	98.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	83.6%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	51.3%	(*.f64 (neg.f64 x) y)

Compiler

Compiled 218 to 164 computations (24.8% saved)

localize503.0ms (5.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	100.0%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	98.2%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 119 to 69 computations (42% saved)

series74.0ms (0.8%)

Counts

8 → 110

Calls

39 calls:

Time	Variable		Point	Expression
35.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
19.0ms	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	x	@	-inf	(+.f64 (log.f64 2) (*.f64 1/2 x))
3.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))

rewrite213.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`expm1-udef`
712×	`log1p-udef`
427×	`log1p-expm1-u`
326×	`associate-r`
240×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	202
1	431	170
2	6495	170

Stop Event

1×	node limit

Counts

8 → 332

Calls

Call 1

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

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

simplify225.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`fma-def`
868×	`log-prod`
600×	`associate-r`
572×	`associate-l`
428×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	667	18957
1	1669	16753
2	6786	16743

Stop Event

1×	node limit

Counts

442 → 418

Calls

Call 1

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

Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 2) 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) 1/8 (/.f64 x 2)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (/.f64 (.f64 3 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (sqrt.f64 2) 2))))) (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (/.f64 x 4) (fma.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) (.f64 (pow.f64 x 2) 1/16))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4))))))))
(fma.f64 1/3 (.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (/.f64 (.f64 3 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (sqrt.f64 2) 2))))) (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) 1/3 (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (.f64 (pow.f64 x 2) 1/8))))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
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(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 1/2 (-.f64 (.f64 1/2 x) (log.f64 2))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 1/2 x (neg.f64 (log.f64 2)))) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (.f64 x -1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) -1/4)) (fma.f64 x -1/2 (log.f64 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 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 1/2 (-.f64 (.f64 1/2 x) (log.f64 2))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 1/2 x (neg.f64 (log.f64 2)))) (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 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (.f64 x 1/2)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (.f64 1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 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 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (.f64 x -1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) -1/4)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 1/2 (-.f64 (*.f64 1/2 x) (log.f64 2)))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 x (.f64 1/2 (fma.f64 1/2 x (neg.f64 (log.f64 2)))) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (.f64 -1/2 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (.f64 x -1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (neg.f64 (log.f64 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x 1/2) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (.f64 x -1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(fabs.f64 (fma.f64 1/2 x (log.f64 2)))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (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 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 1/2 x (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 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))

eval138.0ms (1.6%)

Compiler: Compiled 7803 to 4803 computations (38.4% saved)

prune70.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	412	6	418
Fresh	0	0	0
Picked	1	4	5
Done	1	0	1
Total	414	10	424

Accuracy

99.8%

Counts

424 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.6%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
▶	91.6%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
✓	83.6%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	65.2%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	51.3%	(*.f64 (neg.f64 x) y)
▶	35.7%	(*.f64 x (-.f64 1/2 y))
▶	50.0%	(log1p.f64 (exp.f64 x))
▶	49.8%	(log.f64 2)
✓	83.6%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
▶	91.6%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
✓	83.6%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	65.2%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	51.3%	(*.f64 (neg.f64 x) y)
▶	35.7%	(*.f64 x (-.f64 1/2 y))
▶	50.0%	(log1p.f64 (exp.f64 x))
▶	49.8%	(log.f64 2)

Compiler

Compiled 260 to 210 computations (19.2% saved)

localize129.0ms (1.5%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
	99.6%	(log1p.f64 (exp.f64 x))
	100.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.4%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 62 to 43 computations (30.6% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 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))
0.0ms	x	@	inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	y	@	inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
0.0ms	x	@	-inf	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`fma-def`
816×	`log-prod`
756×	`log1p-expm1-u`
756×	`expm1-log1p-u`
550×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	167	32
2	2159	32

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 2))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))

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

simplify353.0ms (4%)

Algorithm

1×	egg-herbie

Rules

776×	`distribute-lft-in`
706×	`unswap-sqr`
686×	`distribute-rgt-in`
598×	`associate-+r+`
512×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	6562
1	784	6326
2	2265	6134

Stop Event

1×	node limit

Counts

214 → 207

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

eval106.0ms (1.2%)

Compiler: Compiled 5507 to 3196 computations (42% saved)

prune62.0ms (0.7%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	363	2	365
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	363	12	375

Accuracy

99.8%

Counts

375 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.6%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
▶	35.7%	(-.f64 (.f64 x 1/2) (.f64 x y))
✓	91.6%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
✓	83.6%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	49.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	65.2%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	51.3%	(*.f64 (neg.f64 x) y)
✓	35.7%	(*.f64 x (-.f64 1/2 y))
▶	3.4%	(*.f64 1/2 x)
✓	50.0%	(log1p.f64 (exp.f64 x))
✓	49.8%	(log.f64 2)
✓	83.6%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
▶	35.7%	(-.f64 (.f64 x 1/2) (.f64 x y))
✓	91.6%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
✓	83.6%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	49.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	65.2%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	51.3%	(*.f64 (neg.f64 x) y)
✓	35.7%	(*.f64 x (-.f64 1/2 y))
▶	3.4%	(*.f64 1/2 x)
✓	50.0%	(log1p.f64 (exp.f64 x))
✓	49.8%	(log.f64 2)

Compiler

Compiled 194 to 152 computations (21.6% saved)

localize99.0ms (1.1%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x 1/2) (.f64 x y))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	98.8%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
✓	95.8%	(log1p.f64 (*.f64 x (-.f64 1/2 y)))

Compiler

Compiled 61 to 39 computations (36.1% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite279.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`fma-def`
809×	`log1p-expm1-u`
808×	`expm1-log1p-u`
582×	`fma-neg`
404×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	260	86
2	3419	86

Stop Event

1×	node limit

Counts

4 → 557

Calls

Call 1

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

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

simplify314.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1346×	`fma-neg`
772×	`fma-def`
474×	`fma-udef`
456×	`unsub-neg`
452×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	657	20618
1	1604	19945
2	5266	19661

Stop Event

1×	node limit

Counts

653 → 461

Calls

Call 1

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

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

eval243.0ms (2.8%)

Compiler: Compiled 10740 to 6819 computations (36.5% saved)

prune111.0ms (1.3%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	506	2	508
Fresh	0	0	0
Picked	0	3	3
Done	0	9	9
Total	506	14	520

Accuracy

99.8%

Counts

520 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.6%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	35.7%	(-.f64 (.f64 x 1/2) (.f64 x y))
✓	91.6%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	92.3%	(-.f64 (log.f64 2) (*.f64 x y))
	65.2%	(+.f64 (log.f64 2) (/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (.f64 y (neg.f64 x)) (.f64 y (neg.f64 x)))) (-.f64 (.f64 x 1/2) (.f64 y (neg.f64 x)))))
✓	83.6%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	49.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	3.6%	(+.f64 (log.f64 2) (expm1.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 (+.f64 1/2 (/.f64 1 x)) y))))
✓	65.2%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	51.3%	(*.f64 (neg.f64 x) y)
✓	35.7%	(*.f64 x (-.f64 1/2 y))
✓	3.4%	(*.f64 1/2 x)
✓	50.0%	(log1p.f64 (exp.f64 x))
✓	49.8%	(log.f64 2)

Compiler

Compiled 296 to 202 computations (31.8% saved)

regimes36.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	y
11.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 166 to 104 computations (37.3% saved)

regimes25.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
99.4%	2	`x`
92.3%	1	`y`

Compiler

Compiled 62 to 41 computations (33.9% saved)

regimes14.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 46 to 31 computations (32.6% saved)

regimes15.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes39.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
74.2%	5	`y`
83.7%	2	`x`

Compiler

Compiled 35 to 24 computations (31.4% saved)

regimes18.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
83.7%	2	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes11.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
51.3%	1	`y`
51.3%	1	`x`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes13.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

9.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
3.4%	1	`y`
3.4%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch23.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-52.763957620312155	-2.934614013623305e-9

Results

21.0ms

160×

body

256

valid

Compiler

Compiled 216 to 162 computations (25% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-52.763957620312155	-2.934614013623305e-9

Results

23.0ms

160×

body

256

valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-13388702.584852394	-943450.4053042147

Results

13.0ms	21×	body	1024	valid
8.0ms	55×	body	256	valid
5.0ms	18×	body	512	valid
1.0ms	1×	body	2048	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 112 to 84 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-1.4649146386456326e-43	-6.7774703106995066e-46

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 128 to 103 computations (19.5% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.4649146386456326e-43	-6.7774703106995066e-46

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 100 to 82 computations (18% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	317
1	59	317
2	74	317
3	79	317
4	81	317

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 (neg.f64 x) y) (-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -950000) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6779269874217615/50216813883093446110686315385661331328818843555712276103168) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 1/2 x)))
(if (<=.f64 x -3640719006524275/25108406941546723055343157692830665664409421777856138051584) (*.f64 (neg.f64 x) y) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 (neg.f64 x) y) (-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -950000) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -950000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -950000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6779269874217615/50216813883093446110686315385661331328818843555712276103168) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 1/2 x)))
(if (<=.f64 x -6779269874217615/50216813883093446110686315385661331328818843555712276103168) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -6779269874217615/50216813883093446110686315385661331328818843555712276103168) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -3640719006524275/25108406941546723055343157692830665664409421777856138051584) (*.f64 (neg.f64 x) y) (log.f64 2))
(if (<=.f64 x -3640719006524275/25108406941546723055343157692830665664409421777856138051584) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -3640719006524275/25108406941546723055343157692830665664409421777856138051584) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 102 to 73 computations (28.4% saved)

soundness422.0ms (4.8%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	286	210
4	468	210
5	769	210
6	1322	210
7	2788	210
8	5719	210
9	7847	210
0	496	8098
1	1202	7872
2	3640	7860

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 34 to 20 computations (41.2% saved)

end0.0ms (0%)

preprocess224.0ms (2.5%)

Compiler: Compiled 254 to 150 computations (40.9% saved)

analyze82.0ms (0.9%)

sample3.9s (44%)

preprocess308.0ms (3.5%)

eval0.0ms (0%)

prune2.0ms (0%)

localize35.0ms (0.4%)

series55.0ms (0.6%)

rewrite228.0ms (2.6%)

simplify129.0ms (1.5%)

eval73.0ms (0.8%)

prune41.0ms (0.5%)

localize503.0ms (5.7%)

series74.0ms (0.8%)

rewrite213.0ms (2.4%)

simplify225.0ms (2.6%)

eval138.0ms (1.6%)

prune70.0ms (0.8%)

localize129.0ms (1.5%)

series6.0ms (0.1%)

rewrite109.0ms (1.2%)

simplify353.0ms (4%)

eval106.0ms (1.2%)

prune62.0ms (0.7%)

localize99.0ms (1.1%)

series7.0ms (0.1%)

rewrite279.0ms (3.2%)

simplify314.0ms (3.6%)

eval243.0ms (2.8%)

prune111.0ms (1.3%)

regimes36.0ms (0.4%)

regimes25.0ms (0.3%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes39.0ms (0.4%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes13.0ms (0.2%)

bsearch23.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify10.0ms (0.1%)

soundness422.0ms (4.8%)

end0.0ms (0%)

preprocess224.0ms (2.5%)

Profiling