Metrics for Logistic regression 2

analyze77.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.7s (50.4%)

Results

2.3s	2716×	body	8192	exit
1.0s	7144×	body	256	valid
183.0ms	197×	body	1024	valid
132.0ms	234×	body	512	valid
117.0ms	681×	body	256	infinite

Bogosity

preprocess273.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

Problems

252×	No Errors
3×	`(log.f64 (+.f64 1 (exp.f64 x)))`
1×	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	70	226
2	126	210
3	283	210
4	465	210
5	764	210
6	1318	210
7	2782	210
8	5717	210
9	7862	210

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize32.0ms (0.4%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series49.0ms (0.7%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite139.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`prod-diff`
972×	`unpow-prod-down`
674×	`log-prod`
640×	`log1p-expm1-u`
640×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	136	42
2	1758	42

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

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

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

229 → 243

Calls

Call 1

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

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

eval59.0ms (0.8%)

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

prune42.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Accuracy

100.0%

Counts

244 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(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)))
▶	82.7%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	98.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	93.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.7%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	51.6%	(*.f64 (neg.f64 x) y)
	72.1%	(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)))
▶	82.7%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	98.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	93.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.7%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	51.6%	(*.f64 (neg.f64 x) y)

Compiler

Compiled 310 to 196 computations (36.8% saved)

localize440.0ms (6%)

Localize:

Found 7 expressions with local error:

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

Compiler

Compiled 107 to 63 computations (41.1% saved)

series58.0ms (0.8%)

Counts

7 → 107

Calls

36 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
15.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
2.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite134.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

7 → 236

Calls

Call 1

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

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

simplify138.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

343 → 308

Calls

Call 1

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

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

eval98.0ms (1.3%)

Compiler: Compiled 5665 to 3392 computations (40.1% saved)

prune64.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	302	6	308
Fresh	1	0	1
Picked	2	3	5
Done	1	0	1
Total	306	9	315

Accuracy

100.0%

Counts

315 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.7%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	93.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	93.8%	(-.f64 (log.f64 2) (*.f64 x y))
	92.6%	(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 2 (fma.f64 (neg.f64 y) x (*.f64 x y))))
▶	50.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	51.6%	(*.f64 (neg.f64 x) y)
▶	34.6%	(*.f64 x (-.f64 1/2 y))
▶	49.8%	(log1p.f64 (exp.f64 x))
▶	49.9%	(log.f64 2)
✓	82.7%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	93.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	93.8%	(-.f64 (log.f64 2) (*.f64 x y))
	92.6%	(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 2 (fma.f64 (neg.f64 y) x (*.f64 x y))))
▶	50.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	51.6%	(*.f64 (neg.f64 x) y)
▶	34.6%	(*.f64 x (-.f64 1/2 y))
▶	49.8%	(log1p.f64 (exp.f64 x))
▶	49.9%	(log.f64 2)

Compiler

Compiled 262 to 194 computations (26% saved)

localize112.0ms (1.5%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
	99.2%	(log1p.f64 (exp.f64 x))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.4%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 62 to 43 computations (30.6% saved)

series6.0ms (0.1%)

Counts

3 → 27

Calls

9 calls:

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

rewrite100.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	236	48
2	3309	48

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

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

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

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	10357
1	835	9003
2	2612	6651

Stop Event

1×	node limit

Counts

230 → 224

Calls

Call 1

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

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

eval95.0ms (1.3%)

Compiler: Compiled 4584 to 2683 computations (41.5% saved)

prune61.0ms (0.8%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	307	5	312
Fresh	1	0	1
Picked	0	5	5
Done	1	2	3
Total	309	12	321

Accuracy

100.0%

Counts

321 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 x (neg.f64 y)))
▶	93.8%	(fma.f64 (neg.f64 y) x (log.f64 2))
✓	93.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	93.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	87.5%	(+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
▶	34.6%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	50.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	51.6%	(*.f64 (neg.f64 x) y)
✓	34.6%	(*.f64 x (-.f64 1/2 y))
▶	3.3%	(*.f64 x 1/2)
✓	49.8%	(log1p.f64 (exp.f64 x))
✓	49.9%	(log.f64 2)
▶	93.0%	(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 x (neg.f64 y)))
▶	93.8%	(fma.f64 (neg.f64 y) x (log.f64 2))
✓	93.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	93.8%	(-.f64 (log.f64 2) (*.f64 x y))
▶	87.5%	(+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
▶	34.6%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	50.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	51.6%	(*.f64 (neg.f64 x) y)
✓	34.6%	(*.f64 x (-.f64 1/2 y))
▶	3.3%	(*.f64 x 1/2)
✓	49.8%	(log1p.f64 (exp.f64 x))
✓	49.9%	(log.f64 2)

Compiler

Compiled 330 to 250 computations (24.2% saved)

localize194.0ms (2.6%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.1%	(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 x (neg.f64 y)))
	98.4%	(log.f64 (sqrt.f64 2))
✓	97.5%	(cbrt.f64 (log.f64 (sqrt.f64 2)))
✓	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	19.7%	(fma.f64 x (neg.f64 y) (*.f64 x y))
✓	100.0%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	100.0%	(fma.f64 (neg.f64 y) x (log.f64 2))

Compiler

Compiled 125 to 67 computations (46.4% saved)

series13.0ms (0.2%)

Counts

6 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(fma.f64 x (neg.f64 y) (*.f64 x y))
2.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 x (neg.f64 y)))
1.0ms	y	@	0	(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 x (neg.f64 y)))
1.0ms	x	@	0	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
0.0ms	x	@	inf	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))

rewrite108.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`fma-def`
816×	`log1p-expm1-u`
816×	`expm1-log1p-u`
494×	`expm1-udef`
492×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	174
1	363	125
2	4366	121

Stop Event

1×	node limit

Counts

6 → 209

Calls

Call 1

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

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

338×	`associate-r`
278×	`fma-def`
276×	`associate-l`
218×	`times-frac`
192×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	2748
1	930	2748
2	4471	2748

Stop Event

1×

unsound

Counts

329 → 205

Calls

Call 1

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

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

eval89.0ms (1.2%)

Compiler: Compiled 4443 to 2975 computations (33% saved)

prune47.0ms (0.6%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	0	0	0
Picked	1	4	5
Done	0	7	7
Total	275	13	288

Accuracy

100.0%

Counts

288 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	93.0%	(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (.f64 x (neg.f64 y)))
✓	93.8%	(fma.f64 (neg.f64 y) x (log.f64 2))
	34.6%	(-.f64 (.f64 x 1/2) (.f64 y x))
✓	93.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	93.8%	(-.f64 (log.f64 2) (*.f64 x y))
✓	87.5%	(+.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
✓	50.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	2.7%	(*.f64 (+.f64 y 1/2) x)
✓	51.6%	(*.f64 (neg.f64 x) y)
✓	34.6%	(*.f64 x (-.f64 1/2 y))
✓	3.3%	(*.f64 x 1/2)
✓	49.8%	(log1p.f64 (exp.f64 x))
✓	49.9%	(log.f64 2)

Compiler

Compiled 294 to 177 computations (39.8% saved)

regimes34.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y
11.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 198 to 103 computations (48% saved)

regimes27.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
99.8%	2	`x`
93.8%	1	`y`

Compiler

Compiled 71 to 47 computations (33.8% saved)

regimes14.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 51 to 34 computations (33.3% saved)

regimes49.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	y
21.0ms	x

Results

Accuracy	Segments	Branch
73.6%	5	`y`
86.5%	3	`x`

Compiler

Compiled 48 to 32 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
51.6%	1	`y`
51.6%	1	`x`

Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
3.3%	1	`y`
3.3%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-2580407794.7578945	-2025038973.811333

Results

5.0ms	12×	body	1024	valid
4.0ms	28×	body	256	valid
2.0ms	8×	body	512	valid

Compiler

Compiled 70 to 54 computations (22.9% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-2580407794.7578945	-2025038973.811333

Results

4.0ms	32×	body	256	valid
4.0ms	10×	body	1024	valid
1.0ms	4×	body	512	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 64 to 48 computations (25% saved)

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.8120389399859094e-72	1.6244497403962474e-63
7.0ms	-1.1186317667430334e-19	-8.912767132632224e-20

Results

23.0ms

192×

body

256

valid

Compiler

Compiled 169 to 141 computations (16.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	232
1	51	232
2	64	232
3	69	232
4	71	232

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2050000000) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -2050000000) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4361529361169255/41538374868278621028243970633760768) (.f64 (neg.f64 x) y) (if (<=.f64 x 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 (neg.f64 x) y)
(*.f64 x 1/2)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2050000000) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -2050000000) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -2050000000) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -2050000000) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2050000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2050000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4361529361169255/41538374868278621028243970633760768) (.f64 (neg.f64 x) y) (if (<=.f64 x 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -4361529361169255/41538374868278621028243970633760768) (.f64 y (neg.f64 x)) (if (<=.f64 x 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -4361529361169255/41538374868278621028243970633760768) (.f64 x (neg.f64 y)) (if (<=.f64 x 3408919107146589/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Compiler

Compiled 75 to 53 computations (29.3% saved)

soundness685.0ms (9.3%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	70	226
2	126	210
3	283	210
4	465	210
5	764	210
6	1318	210
7	2782	210
8	5717	210
9	7862	210
0	496	8098
1	1202	7872
2	3635	7860
0	374	10357
1	835	9003
2	2612	6651

Stop Event

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

preprocess77.0ms (1%)

Compiler: Compiled 208 to 128 computations (38.5% saved)

analyze77.0ms (1%)

sample3.7s (50.4%)

preprocess273.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize32.0ms (0.4%)

series49.0ms (0.7%)

rewrite139.0ms (1.9%)

simplify109.0ms (1.5%)

eval59.0ms (0.8%)

prune42.0ms (0.6%)

localize440.0ms (6%)

series58.0ms (0.8%)

rewrite134.0ms (1.8%)

simplify138.0ms (1.9%)

eval98.0ms (1.3%)

prune64.0ms (0.9%)

localize112.0ms (1.5%)

series6.0ms (0.1%)

rewrite100.0ms (1.4%)

simplify101.0ms (1.4%)

eval95.0ms (1.3%)

prune61.0ms (0.8%)

localize194.0ms (2.6%)

series13.0ms (0.2%)

rewrite108.0ms (1.5%)

simplify64.0ms (0.9%)

eval89.0ms (1.2%)

prune47.0ms (0.6%)

regimes34.0ms (0.5%)

regimes27.0ms (0.4%)

regimes14.0ms (0.2%)

regimes49.0ms (0.7%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch11.0ms (0.1%)

bsearch25.0ms (0.3%)

simplify8.0ms (0.1%)

soundness685.0ms (9.3%)

end0.0ms (0%)

preprocess77.0ms (1%)

Profiling