Metrics for Logistic regression 2

analyze138.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.5s (47.3%)

Results

2.6s	2591×	body	8192	exit
1.2s	7160×	body	256	valid
450.0ms	194×	body	1024	valid
109.0ms	694×	body	256	infinite
59.0ms	208×	body	512	valid

Bogosity

preprocess327.0ms (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)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize33.0ms (0.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 20 to 7 computations (65% saved)

series60.0ms (0.6%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
25.0ms	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))

rewrite234.0ms (2.5%)

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)))

simplify134.0ms (1.4%)

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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(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)))

eval81.0ms (0.9%)

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

prune47.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Accuracy

99.7%

Counts

244 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	87.4%	(-.f64 (log.f64 2) (*.f64 x y))
▶	78.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.8%	(*.f64 (neg.f64 x) y)
▶	61.4%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	87.4%	(-.f64 (log.f64 2) (*.f64 x y))
▶	78.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.8%	(*.f64 (neg.f64 x) y)
▶	61.4%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))

Compiler

Compiled 92 to 68 computations (26.1% saved)

localize861.0ms (9.1%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(+.f64 (exp.f64 x) 1)
✓	100.0%	(exp.f64 (*.f64 x (neg.f64 y)))
✓	88.6%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))

Compiler

Compiled 88 to 41 computations (53.4% saved)

series107.0ms (1.1%)

Counts

5 → 99

Calls

27 calls:

Time	Variable		Point	Expression
48.0ms	x	@	-inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
17.0ms	y	@	-inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
15.0ms	x	@	inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
14.0ms	y	@	inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
5.0ms	x	@	0	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))

rewrite161.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1015×	`log1p-expm1-u`
530×	`expm1-udef`
528×	`log1p-udef`
323×	`expm1-log1p-u`
302×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	127
1	360	105
2	5163	105

Stop Event

1×	node limit

Counts

5 → 165

Calls

Call 1

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

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

626×	`log-prod`
610×	`cancel-sign-sub-inv`
606×	`fma-def`
542×	`sqr-pow`
478×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	8463
1	1144	7759
2	4380	7707

Stop Event

1×	node limit

Counts

264 → 251

Calls

Call 1

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

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

eval90.0ms (1%)

Compiler: Compiled 4119 to 2472 computations (40% saved)

prune63.0ms (0.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	245	6	251
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	246	10	256

Accuracy

99.7%

Counts

256 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.4%	(-.f64 (log.f64 2) (*.f64 x y))
✓	78.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	52.3%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	49.8%	(*.f64 (neg.f64 x) y)
▶	28.7%	(*.f64 x (-.f64 1/2 y))
▶	52.2%	(log1p.f64 (exp.f64 x))
▶	59.9%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
▶	51.5%	(log.f64 2)
	50.5%	(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.4%	(-.f64 (log.f64 2) (*.f64 x y))
✓	78.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	52.3%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	49.8%	(*.f64 (neg.f64 x) y)
▶	28.7%	(*.f64 x (-.f64 1/2 y))
▶	52.2%	(log1p.f64 (exp.f64 x))
▶	59.9%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
▶	51.5%	(log.f64 2)
	50.5%	(exp.f64 (log.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))

Compiler

Compiled 246 to 196 computations (20.3% saved)

localize493.0ms (5.2%)

Localize:

Found 4 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%	(exp.f64 (*.f64 x (neg.f64 y)))
✓	99.6%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))

Compiler

Compiled 66 to 34 computations (48.5% saved)

series106.0ms (1.1%)

Counts

2 → 27

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	y	@	inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
22.0ms	y	@	-inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
19.0ms	x	@	-inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
14.0ms	x	@	inf	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))
1.0ms	x	@	0	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) 2))

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`prod-diff`
904×	`log1p-expm1-u`
904×	`expm1-log1p-u`
334×	`expm1-udef`
332×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	218	35
2	2818	35

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1640×	`fma-def`
824×	`distribute-lft-in`
780×	`distribute-rgt-in`
756×	`unswap-sqr`
754×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2589
1	520	2365
2	1900	2317
3	7551	2317

Stop Event

1×	node limit

Counts

92 → 91

Calls

Call 1

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

eval72.0ms (0.8%)

Compiler: Compiled 2496 to 1671 computations (33.1% saved)

prune36.0ms (0.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	1	0	1
Picked	1	4	5
Done	0	4	4
Total	200	11	211

Accuracy

99.7%

Counts

211 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.4%	(-.f64 (log.f64 2) (*.f64 x y))
✓	78.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	52.3%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	49.8%	(*.f64 (neg.f64 x) y)
✓	28.7%	(*.f64 x (-.f64 1/2 y))
▶	3.8%	(*.f64 x 1/2)
✓	52.2%	(log1p.f64 (exp.f64 x))
▶	54.0%	(log.f64 (.f64 (-.f64 1 (.f64 x y)) 2))
✓	51.5%	(log.f64 2)
▶	50.9%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.4%	(-.f64 (log.f64 2) (*.f64 x y))
✓	78.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	52.3%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	49.8%	(*.f64 (neg.f64 x) y)
✓	28.7%	(*.f64 x (-.f64 1/2 y))
▶	3.8%	(*.f64 x 1/2)
✓	52.2%	(log1p.f64 (exp.f64 x))
▶	54.0%	(log.f64 (.f64 (-.f64 1 (.f64 x y)) 2))
✓	51.5%	(log.f64 2)
▶	50.9%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

Compiler

Compiled 162 to 128 computations (21% saved)

localize202.0ms (2.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x 1/2 (log.f64 2))
✓	100.0%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
✓	100.0%	(log.f64 (fma.f64 x 1/2 (log.f64 2)))

Compiler

Compiled 58 to 39 computations (32.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log.f64 (fma.f64 x 1/2 (log.f64 2)))
1.0ms	x	@	0	(log.f64 (fma.f64 x 1/2 (log.f64 2)))
1.0ms	x	@	-inf	(log.f64 (fma.f64 x 1/2 (log.f64 2)))
0.0ms	x	@	-inf	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
0.0ms	x	@	0	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

412×	`unpow-prod-down`
342×	`log-prod`
330×	`cbrt-prod`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	89	52
2	901	52

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

Inputs
(log.f64 (fma.f64 x 1/2 (log.f64 2)))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))

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

simplify140.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def`
288×	`associate-r`
272×	`sqr-pow`
256×	`associate-l`
194×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	2408
1	953	2408
2	4252	2408

Stop Event

1×

unsound

Counts

218 → 144

Calls

Call 1

Inputs
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))) (.f64 1/2 (/.f64 x (log.f64 2)))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (*.f64 1/2 (/.f64 x (log.f64 2))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 (log.f64 2) x)) (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 (log.f64 2) x)) (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 0)
(+.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) -1)
(+.f64 0 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(-.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))) (log.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2))) (log.f64 (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(*.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4) (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3/2)))
(*.f64 (pow.f64 1 1/3) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 5/2) 1/3) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 5/2)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3/2)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 5)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(/.f64 (+.f64 0 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3)) (+.f64 0 (-.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (*.f64 0 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))) 3) (pow.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)) (+.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))) (-.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 3) (pow.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))))) (-.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 3) 1) (+.f64 (.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (+.f64 1 (.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 1))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 2)) (-.f64 0 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(/.f64 (-.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))) (.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))) (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))) (cbrt.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))) (sqrt.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(fabs.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 2))
(log1p.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1))
(+.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) -1)
(+.f64 0 (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))
(-.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 2) (fma.f64 x 1/2 (neg.f64 (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3/2)))
(.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (*.f64 x 1/2) (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x 1/2 (log.f64 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 5/2) 1/3) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 1/2 (log.f64 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 5/2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3/2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 5)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (neg.f64 (log.f64 2))) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (neg.f64 (log.f64 2))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (E.f64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 2) (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (log.f64 2) (.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 3) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) (+.f64 1 (fma.f64 x 1/2 (log.f64 2)))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 2)) (-.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (log.f64 2) (.f64 x 1/2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fabs.f64 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x 1/2))
(fma.f64 (*.f64 x 1/2) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.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 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1))
(+.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) -1)
(+.f64 0 (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))
(-.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 2) (fma.f64 x 1/2 (neg.f64 (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3/2)))
(.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (*.f64 x 1/2) (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/2 (log.f64 2)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x 1/2 (log.f64 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 5/2) 1/3) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 1/2 (log.f64 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 5/2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3/2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 5)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (neg.f64 (log.f64 2))) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (neg.f64 (log.f64 2))))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (E.f64))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (E.f64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 2) (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (log.f64 2) (.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 3) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) (+.f64 1 (fma.f64 x 1/2 (log.f64 2)))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 2)) (-.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (log.f64 2) (.f64 x 1/2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fabs.f64 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(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 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))

Outputs
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))) (.f64 1/2 (/.f64 x (log.f64 2)))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (*.f64 1/2 (/.f64 x (log.f64 2))))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 (log.f64 2) x))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 (log.f64 2) x)) (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)))))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2)) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (*.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2 (/.f64 (log.f64 2) x))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(log.f64 (log.f64 2))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 (log.f64 2) x)) (.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)))))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2)) (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 2 (/.f64 (log.f64 2) x) (*.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)))))))
(log.f64 2)
(log.f64 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (log.f64 2))
(*.f64 1/2 x)
(log.f64 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
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(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (log.f64 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (log.f64 2))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))))
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4))
(log.f64 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (log.f64 2))
(fabs.f64 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (log.f64 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(log.f64 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x 1/2))
(log.f64 (log.f64 2))
(fma.f64 (*.f64 x 1/2) 1 (log.f64 2))
(log.f64 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(log.f64 (log.f64 2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(log.f64 (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))
(log.f64 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(log.f64 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/2 (cbrt.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(log.f64 (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(log.f64 (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(log.f64 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(log.f64 (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(log.f64 (log.f64 2))
(+.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1))
(log.f64 (log.f64 2))
(+.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) -1)
(log.f64 (log.f64 2))
(+.f64 0 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x)))))) (log.f64 (cbrt.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))
(.f64 2 (log.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (exp.f64 x))))))
(-.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1)
(log.f64 (log.f64 2))
(-.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 2) (fma.f64 x 1/2 (neg.f64 (log.f64 2)))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(log.f64 (log.f64 2))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(log.f64 (log.f64 2))
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(log.f64 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))
(*.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/4) (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3/2)))
(log.f64 (log.f64 2))
(.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (*.f64 x 1/2) (log.f64 2))))))
(log.f64 (log.f64 2))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(log.f64 (log.f64 2))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(log.f64 (log.f64 2))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))))
(log.f64 (log.f64 2))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (log.f64 2))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x 1/2 (log.f64 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (log.f64 2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 5/2) 1/3) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(log.f64 (log.f64 2))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 1/2 (log.f64 2)) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (log.f64 2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 5/2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(log.f64 (log.f64 2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3/2)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/4))
(log.f64 (log.f64 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 5)) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1/6))
(log.f64 (log.f64 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))))
(log.f64 (log.f64 2))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (neg.f64 (log.f64 2))) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2))))
(log.f64 (log.f64 2))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))))
(log.f64 (log.f64 2))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (neg.f64 (log.f64 2))))
(log.f64 (log.f64 2))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (E.f64))
(log.f64 (log.f64 2))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (E.f64))
(log.f64 (log.f64 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2))))))
(log.f64 (log.f64 2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x 1/2 (neg.f64 (log.f64 2)))))
(log.f64 (log.f64 2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 2) (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1))))
(log.f64 (log.f64 2))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (log.f64 2) (.f64 x 1/2)))))
(log.f64 (log.f64 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 3) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) (+.f64 1 (fma.f64 x 1/2 (log.f64 2)))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 x 1/2 (log.f64 2))) 1))))
(log.f64 (log.f64 2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1) 2)) (-.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) -1)))
(log.f64 (log.f64 2))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (log.f64 2) (.f64 x 1/2)))
(log.f64 (log.f64 2))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(log.f64 (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) 1/2)
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(log.f64 (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(log.f64 (log.f64 2))
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (log.f64 2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (log.f64 2))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))))
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 2)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/6))
(log.f64 (log.f64 2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4)) (pow.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1/4))
(log.f64 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (log.f64 2))
(fabs.f64 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (log.f64 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(log.f64 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 3))
(log.f64 (log.f64 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) 1/3))
(log.f64 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2)))) 2))
(log.f64 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (log.f64 2))

eval77.0ms (0.8%)

Compiler: Compiled 2395 to 2100 computations (12.3% saved)

prune32.0ms (0.3%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	0	0
Picked	0	3	3
Done	0	8	8
Total	143	12	155

Accuracy

99.7%

Counts

155 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.4%	(-.f64 (log.f64 2) (*.f64 x y))
✓	78.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	52.3%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	49.8%	(*.f64 (neg.f64 x) y)
✓	28.7%	(*.f64 x (-.f64 1/2 y))
✓	3.8%	(*.f64 x 1/2)
✓	52.2%	(log1p.f64 (exp.f64 x))
✓	54.0%	(log.f64 (.f64 (-.f64 1 (.f64 x y)) 2))
✓	51.5%	(log.f64 2)
	1.0%	(exp.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 (log.f64 2) x)))))
✓	50.9%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))

Compiler

Compiled 215 to 157 computations (27% saved)

regimes29.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
8.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 132 to 88 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
99.3%	2	`x`
87.4%	1	`y`

Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes22.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`x`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes22.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

13.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
66.7%	3	`y`
88.2%	2	`x`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes18.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
87.7%	2	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
49.8%	1	`y`
49.8%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes17.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

14.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
3.8%	1	`y`
3.8%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-25013.82155511411	-0.38969027914155563

Results

18.0ms	127×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-25013.82155511411	-0.38969027914155563

Results

22.0ms

128×

body

256

valid

Compiler

Compiled 144 to 108 computations (25% saved)

bsearch39.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-5.723614796975033e-10	-7.748767030415423e-23

Results

37.0ms

160×

body

256

valid

Compiler

Compiled 176 to 142 computations (19.3% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-5.723614796975033e-10	-7.748767030415423e-23

Results

22.0ms

160×

body

256

valid

Compiler

Compiled 136 to 112 computations (17.6% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	55	250
2	68	250
3	73	250
4	75	250

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -80) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -602134035108409/79228162514264337593543950336) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 1/2 x)))
(if (<=.f64 x -5199348164998597/1237940039285380274899124224) (*.f64 (neg.f64 x) y) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 x 1/2)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -80) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -80) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -80) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -602134035108409/79228162514264337593543950336) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 1/2 x)))
(if (<=.f64 x -602134035108409/79228162514264337593543950336) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -602134035108409/79228162514264337593543950336) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -5199348164998597/1237940039285380274899124224) (*.f64 (neg.f64 x) y) (log.f64 2))
(if (<=.f64 x -5199348164998597/1237940039285380274899124224) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -5199348164998597/1237940039285380274899124224) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Compiler

Compiled 82 to 59 computations (28% saved)

soundness711.0ms (7.5%)

Rules

1640×	`fma-def`
1570×	`fma-neg`
1540×	`times-frac`
1328×	`fma-def`
1318×	`prod-diff`

Iterations

Useful iterations: 0 (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
0	207	2589
1	520	2365
2	1900	2317
3	7551	2317
0	12	42
1	136	42
2	1761	42

Stop Event

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

Compiler

Compiled 146 to 62 computations (57.5% saved)

end0.0ms (0%)

preprocess101.0ms (1.1%)

Compiler: Compiled 218 to 132 computations (39.4% saved)

analyze138.0ms (1.5%)

sample4.5s (47.3%)

preprocess327.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.4%)

series60.0ms (0.6%)

rewrite234.0ms (2.5%)

simplify134.0ms (1.4%)

eval81.0ms (0.9%)

prune47.0ms (0.5%)

localize861.0ms (9.1%)

series107.0ms (1.1%)

rewrite161.0ms (1.7%)

simplify125.0ms (1.3%)

eval90.0ms (1%)

prune63.0ms (0.7%)

localize493.0ms (5.2%)

series106.0ms (1.1%)

rewrite100.0ms (1.1%)

simplify83.0ms (0.9%)

eval72.0ms (0.8%)

prune36.0ms (0.4%)

localize202.0ms (2.1%)

series3.0ms (0%)

rewrite87.0ms (0.9%)

simplify140.0ms (1.5%)

eval77.0ms (0.8%)

prune32.0ms (0.3%)

regimes29.0ms (0.3%)

regimes27.0ms (0.3%)

regimes22.0ms (0.2%)

regimes22.0ms (0.2%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes17.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch39.0ms (0.4%)

bsearch25.0ms (0.3%)

simplify14.0ms (0.2%)

soundness711.0ms (7.5%)

end0.0ms (0%)

preprocess101.0ms (1.1%)

Profiling