Metrics for Logistic regression 2

analyze180.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample4.3s (46.1%)

Results

2.7s	2563×	body	8192	exit
1.3s	7129×	body	256	valid
118.0ms	699×	body	256	infinite
106.0ms	197×	body	1024	valid
64.0ms	230×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess302.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

Compiler

Compiled 40 to 23 computations (42.5% saved)

eval0.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize47.0ms (0.5%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series53.0ms (0.6%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
6.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite262.0ms (2.8%)

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	54
1	136	54
2	1761	54

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

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

simplify147.0ms (1.6%)

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	9149
1	1202	8887
2	3640	8869

Stop Event

1×	node limit

Counts

281 → 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)))
(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)))
(+.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)))
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(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (.f64 x (neg.f64 y)) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x (neg.f64 y)) 2)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1 (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1 (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(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)))
(+.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))

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)))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))

eval81.0ms (0.9%)

Compiler: Compiled 5818 to 1958 computations (66.3% saved)

prune76.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	302	4	306
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	303	5	308

Accuracy

99.7%

Counts

308 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	81.1%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	54.0%	(*.f64 (neg.f64 x) y)
▶	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	81.1%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	54.0%	(*.f64 (neg.f64 x) y)

Compiler

Compiled 82 to 60 computations (26.8% saved)

localize363.0ms (3.9%)

Localize:

Found 3 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 x (-.f64 1/2 y))

Compiler

Compiled 60 to 34 computations (43.3% saved)

series8.0ms (0.1%)

Counts

3 → 51

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
1.0ms	y	@	0	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
0.0ms	x	@	0	(*.f64 x (-.f64 1/2 y))
0.0ms	y	@	inf	(*.f64 x (-.f64 1/2 y))
0.0ms	x	@	inf	(*.f64 x (-.f64 1/2 y))

rewrite129.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1129×	`log1p-expm1-u`
1129×	`expm1-log1p-u`
998×	`fma-def`
370×	`expm1-udef`
368×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	204	67
2	3028	67

Stop Event

1×	node limit

Counts

3 → 171

Calls

Call 1

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

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

simplify111.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1070×	`unswap-sqr`
976×	`distribute-lft-in`
966×	`distribute-rgt-in`
710×	`cancel-sign-sub-inv`
668×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	334	7845
1	780	6828
2	2482	6828

Stop Event

1×	node limit

Counts

222 → 193

Calls

Call 1

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

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

eval68.0ms (0.7%)

Compiler: Compiled 3096 to 1876 computations (39.4% saved)

prune48.0ms (0.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	191	7	198

Accuracy

99.7%

Counts

198 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	47.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	63.1%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	54.0%	(*.f64 (neg.f64 x) y)
▶	46.8%	(log.f64 2)
✓	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
▶	47.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	63.1%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	54.0%	(*.f64 (neg.f64 x) y)
▶	46.8%	(log.f64 2)

Compiler

Compiled 110 to 86 computations (21.8% saved)

localize183.0ms (2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	98.6%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
✓	97.3%	(log1p.f64 (*.f64 x (-.f64 1/2 y)))

Compiler

Compiled 57 to 43 computations (24.6% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite119.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`log1p-expm1-u`
864×	`expm1-log1p-u`
790×	`log-prod`
610×	`fma-def`
592×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	176	67
2	2298	67

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

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

simplify132.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-neg`
970×	`cancel-sign-sub-inv`
514×	`associate-+l-`
478×	`fma-def`
456×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	7622
1	1009	7334
2	3497	7250

Stop Event

1×	node limit

Counts

211 → 253

Calls

Call 1

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

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

eval149.0ms (1.6%)

Compiler: Compiled 5642 to 4455 computations (21% saved)

prune57.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	284	8	292

Accuracy

99.7%

Counts

292 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	47.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	17.4%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))))
▶	46.3%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	54.0%	(*.f64 (neg.f64 x) y)
✓	46.8%	(log.f64 2)
✓	89.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	47.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	17.4%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))))
▶	46.3%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	54.0%	(*.f64 (neg.f64 x) y)
✓	46.8%	(log.f64 2)

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize182.0ms (1.9%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))
✓	99.9%	(/.f64 1 (*.f64 x (-.f64 1/2 y)))
✓	99.1%	(expm1.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y)))))
✓	100.0%	(expm1.f64 (log1p.f64 (*.f64 x 1/2)))

Compiler

Compiled 103 to 77 computations (25.2% saved)

series69.0ms (0.7%)

Counts

5 → 96

Calls

27 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log.f64 (*.f64 x (-.f64 1/2 y)))
12.0ms	x	@	-inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
6.0ms	y	@	inf	(/.f64 1 (*.f64 x (-.f64 1/2 y)))
5.0ms	x	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
3.0ms	x	@	-inf	(+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))

rewrite226.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`prod-diff`
1168×	`log1p-expm1-u`
436×	`expm1-log1p-u`
400×	`expm1-udef`
400×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	168
1	240	168
2	3117	168

Stop Event

1×	node limit

Counts

5 → 133

Calls

Call 1

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

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

simplify224.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1242×	`fma-neg`
958×	`fma-def`
528×	`log-prod`
502×	`+-commutative`
462×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	547	13831
1	1565	12409
2	6286	12129

Stop Event

1×	node limit

Counts

229 → 354

Calls

Call 1

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

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

eval241.0ms (2.6%)

Compiler: Compiled 10857 to 8425 computations (22.4% saved)

prune112.0ms (1.2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	347	7	354
Fresh	0	0	0
Picked	2	0	2
Done	1	5	6
Total	350	12	362

Accuracy

99.7%

Counts

362 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	47.4%	(+.f64 (*.f64 1/2 x) (log.f64 2))
	50.6%	(+.f64 (log.f64 2) (/.f64 (-.f64 (.f64 (+.f64 (.f64 x 1/2) 1) (+.f64 (.f64 x 1/2) 1)) 1) (+.f64 (+.f64 (.f64 x 1/2) 1) 1)))
	35.8%	(+.f64 (log.f64 2) (-.f64 (.f64 (.f64 x (-.f64 1/2 y)) (exp.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))))) 1))
	65.9%	(+.f64 (log.f64 2) (+.f64 -1 (-.f64 (/.f64 x (/.f64 -1 y)) (*.f64 (/.f64 (/.f64 x (/.f64 -1 y)) y) (+.f64 1/2 (/.f64 1 x))))))
	16.8%	(+.f64 (log.f64 2) (expm1.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (/.f64 1 (*.f64 x (-.f64 1/2 y))))))
	16.8%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))) 3)))
	1.0%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (/.f64 2 x))))
	16.9%	(+.f64 (log.f64 2) (expm1.f64 (expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))))))
✓	54.0%	(*.f64 (neg.f64 x) y)
✓	46.8%	(log.f64 2)

Compiler

Compiled 438 to 341 computations (22.1% saved)

regimes61.0ms (0.7%)

Counts

19 → 1

Calls

Call 1

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

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Calls

3 calls:

19.0ms	y
12.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 258 to 193 computations (25.2% saved)

regimes37.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
10.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
6.0ms	y

Results

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

Compiler

Compiled 134 to 98 computations (26.9% saved)

regimes19.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
98.9%	2	`x`
89.0%	1	`y`

Compiler

Compiled 88 to 68 computations (22.7% saved)

regimes8.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes28.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
71.0%	5	`y`
83.7%	3	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
54.0%	1	`y`
54.0%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-59.818117264931885	-0.06228975679089785

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch38.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-41203499556115.45	-59.818117264931885

Results

27.0ms	138×	body	256	valid
6.0ms	12×	body	1024	valid
3.0ms	10×	body	512	valid

Compiler

Compiled 176 to 132 computations (25% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.787819726771493e-52	1.392511243756222e-45
19.0ms	-4.192293068119297e-30	-1.2408240420201756e-33

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 220 to 182 computations (17.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	240
1	60	240
2	73	240
3	77	240
4	78	240

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -95) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -319703483166135/11417981541647679048466287755595961091061972992) (.f64 (neg.f64 x) y) (if (<=.f64 x 5660535677184949/6582018229284824168619876730229402019930943462534319453394436096) (log.f64 2) (.f64 (neg.f64 x) y)))
(*.f64 (neg.f64 x) y)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6124895493223875/4503599627370496) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -95) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -95) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -95) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -319703483166135/11417981541647679048466287755595961091061972992) (.f64 (neg.f64 x) y) (if (<=.f64 x 5660535677184949/6582018229284824168619876730229402019930943462534319453394436096) (log.f64 2) (.f64 (neg.f64 x) y)))
(if (or (<=.f64 x -319703483166135/11417981541647679048466287755595961091061972992) (not (<=.f64 x 5660535677184949/6582018229284824168619876730229402019930943462534319453394436096))) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (or (<=.f64 x -319703483166135/11417981541647679048466287755595961091061972992) (not (<=.f64 x 5660535677184949/6582018229284824168619876730229402019930943462534319453394436096))) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))

Compiler

Compiled 75 to 53 computations (29.3% saved)

soundness786.0ms (8.4%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	286	210
4	468	210
5	769	210
6	1322	210
7	2788	210
8	5719	210
9	7847	210
0	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	9149
1	1202	8887
2	3640	8869

Stop Event

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

Compiler

Compiled 101 to 55 computations (45.5% saved)

end0.0ms (0%)

preprocess427.0ms (4.6%)

Compiler: Compiled 208 to 122 computations (41.3% saved)

analyze180.0ms (1.9%)

sample4.3s (46.1%)

preprocess302.0ms (3.2%)

eval0.0ms (0%)

prune2.0ms (0%)

localize47.0ms (0.5%)

series53.0ms (0.6%)

rewrite262.0ms (2.8%)

simplify147.0ms (1.6%)

eval81.0ms (0.9%)

prune76.0ms (0.8%)

localize363.0ms (3.9%)

series8.0ms (0.1%)

rewrite129.0ms (1.4%)

simplify111.0ms (1.2%)

eval68.0ms (0.7%)

prune48.0ms (0.5%)

localize183.0ms (2%)

series6.0ms (0.1%)

rewrite119.0ms (1.3%)

simplify132.0ms (1.4%)

eval149.0ms (1.6%)

prune57.0ms (0.6%)

localize182.0ms (1.9%)

series69.0ms (0.7%)

rewrite226.0ms (2.4%)

simplify224.0ms (2.4%)

eval241.0ms (2.6%)

prune112.0ms (1.2%)

regimes61.0ms (0.7%)

regimes37.0ms (0.4%)

regimes19.0ms (0.2%)

regimes8.0ms (0.1%)

regimes28.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch38.0ms (0.4%)

bsearch40.0ms (0.4%)

simplify8.0ms (0.1%)

soundness786.0ms (8.4%)

end0.0ms (0%)

preprocess427.0ms (4.6%)

Profiling