Metrics for Logistic regression 2

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.3s (36.9%)

Results

1.9s	2213×	body	8192	exit
1.1s	6836×	body	256	valid
156.0ms	997×	body	256	infinite
85.0ms	193×	body	1024	valid
67.0ms	229×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess331.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1530×	`times-frac`
1354×	`fma-def`
800×	`fma-neg`
722×	`fabs-mul`
544×	`cancel-sign-sub-inv`

Problems

253×	No Errors
3×	`(log.f64 (+.f64 1 (exp.f64 x)))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	158
1	64	154
2	97	146
3	214	146
4	367	146
5	608	146
6	1137	146
7	2601	146
8	5625	146
9	7762	146

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

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.8%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	98.8%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize61.0ms (0.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	98.9%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.9%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 36 to 9 computations (75% saved)

series56.0ms (0.6%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
19.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
4.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

rewrite276.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`prod-diff`
686×	`log-prod`
638×	`log1p-expm1-u`
638×	`expm1-log1p-u`
518×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	181	76
2	2455	76

Stop Event

1×	node limit

Counts

4 → 367

Calls

Call 1

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

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

simplify190.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1190×	`fma-neg`
812×	`unswap-sqr`
598×	`distribute-lft-neg-in`
558×	`distribute-lft-out`
546×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	13975
1	1253	13601
2	3627	13342

Stop Event

1×	node limit

Counts

439 → 261

Calls

Call 1

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

eval149.0ms (1.7%)

Compiler: Compiled 6100 to 2114 computations (65.3% saved)

prune150.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	303	5	308
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	305	5	310

Accuracy

99.7%

Counts

310 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
▶	91.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	81.9%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	54.7%	(*.f64 y (neg.f64 x))
▶	91.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.1%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
▶	91.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	81.9%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	54.7%	(*.f64 y (neg.f64 x))

Compiler

Compiled 184 to 140 computations (23.9% saved)

localize639.0ms (7.1%)

Localize:

Found 7 expressions with local error:

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

Compiler

Compiled 104 to 59 computations (43.3% saved)

series64.0ms (0.7%)

Counts

7 → 107

Calls

36 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
19.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
3.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))

rewrite136.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`log1p-expm1-u`
574×	`expm1-udef`
572×	`log1p-udef`
300×	`associate-r`
180×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	176
1	389	144
2	5653	144

Stop Event

1×	node limit

Counts

7 → 244

Calls

Call 1

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

simplify150.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-neg`
754×	`log-prod`
702×	`fma-def`
452×	`associate-r`
384×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	510	12217
1	1230	10922
2	4987	10816

Stop Event

1×	node limit

Counts

351 → 300

Calls

Call 1

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

Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 2) 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) 1/8 (/.f64 x 2)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (/.f64 (.f64 3 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (sqrt.f64 2) 2))))) (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (fma.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (.f64 (pow.f64 x 2) 1/16)) (+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4)))
(+.f64 (fma.f64 1/2 (fma.f64 (pow.f64 x 2) 1/8 (/.f64 x 2)) (log.f64 (sqrt.f64 2))) (*.f64 (pow.f64 x 3) 0))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 2 (log.f64 (sqrt.f64 2))))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4))))))))
(fma.f64 1/3 (.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (/.f64 (.f64 3 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (sqrt.f64 2) 2))))) (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) 1/3 (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (.f64 (pow.f64 x 2) 1/8))))
(+.f64 (.f64 (pow.f64 x 3) 0) (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (.f64 (pow.f64 x 2) 1/8))))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
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(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y 1/2) (log.f64 2))))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 x (+.f64 y 1/2) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 y 1/2) x (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 y 1/2)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(*.f64 x (+.f64 1/2 y))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)) x)
(/.f64 (*.f64 x (+.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 x (/.f64 (+.f64 1/2 y) (+.f64 1/4 (pow.f64 y 2))))
(*.f64 (/.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)) x)
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)) x)
(/.f64 (*.f64 (+.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(/.f64 x (/.f64 (+.f64 1/2 y) (+.f64 1/4 (pow.f64 y 2))))
(*.f64 (/.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)) x)
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(*.f64 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y 1/2))) 1))
(*.f64 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x y))
(fma.f64 x y (log.f64 2))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (.f64 2 (.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 (.f64 x y) 1 (.f64 x y)))
(+.f64 (fma.f64 y x (*.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (.f64 2 (.f64 x y)) (fma.f64 x y (log.f64 2)))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 x y (log.f64 2))
(+.f64 (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 x y (log.f64 2))
(+.f64 (fma.f64 x y (log.f64 2)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(fma.f64 x y (log.f64 2))
(+.f64 (*.f64 x y) (log.f64 2))
(fma.f64 x y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log.f64 2)))) 1)
(fma.f64 x y (log.f64 2))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 3) (+.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (.f64 (log.f64 2) (.f64 x y)))) (/.f64 (pow.f64 (.f64 x y) 3) (+.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (.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 (fma.f64 x y (log.f64 2)) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (log.f64 2) (pow.f64 (fma.f64 x y (log.f64 2)) 2)))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x y (log.f64 2))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log.f64 2))))
(*.f64 1 (fma.f64 x y (log.f64 2)))
(fma.f64 x y (log.f64 2))
(*.f64 (fma.f64 x y (log.f64 2)) 1)
(fma.f64 x y (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2))
(fma.f64 x y (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 2) (cbrt.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(*.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (/.f64 1 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) (sqrt.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (.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 (fma.f64 x y (log.f64 2)) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (log.f64 2) (pow.f64 (fma.f64 x y (log.f64 2)) 2)))
(.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 x y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (.f64 (log.f64 2) (.f64 x y))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (log.f64 2) (pow.f64 (fma.f64 x y (log.f64 2)) 2)))
(/.f64 1 (/.f64 (fma.f64 x y (log.f64 2)) (pow.f64 (fma.f64 x y (log.f64 2)) 2)))
(fma.f64 x y (log.f64 2))
(/.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (fma.f64 x y (log.f64 2)))
(fma.f64 x y (log.f64 2))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (.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 (fma.f64 x y (log.f64 2)) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (log.f64 2) (pow.f64 (fma.f64 x y (log.f64 2)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2) (.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 (fma.f64 x y (log.f64 2)) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (log.f64 2) (pow.f64 (fma.f64 x y (log.f64 2)) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2)) (neg.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (*.f64 (log.f64 2) (fma.f64 (neg.f64 x) y (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (log.f64 2) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x y) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (*.f64 (log.f64 2) (fma.f64 (neg.f64 x) y (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x y) (log.f64 2)))
(pow.f64 (fma.f64 x y (log.f64 2)) 1)
(fma.f64 x y (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 2))) 3)
(fma.f64 x y (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3) 1/3)
(fma.f64 x y (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x y (log.f64 2))) 2)
(fma.f64 x y (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 2))
(fma.f64 x y (log.f64 2))
(log.f64 (exp.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log.f64 2)))))
(fma.f64 x y (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x y (log.f64 2)) 3))
(fma.f64 x y (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log.f64 2))) 1))
(fma.f64 x y (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x y (log.f64 2))))
(fma.f64 x y (log.f64 2))

eval383.0ms (4.3%)

Compiler: Compiled 5318 to 3262 computations (38.7% saved)

prune59.0ms (0.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	292	8	300
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	294	11	305

Accuracy

99.7%

Counts

305 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.3%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
✓	91.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	91.2%	(-.f64 (log.f64 2) (*.f64 x y))
	46.3%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
▶	47.5%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	45.7%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))))
✓	54.7%	(*.f64 y (neg.f64 x))
▶	37.2%	(*.f64 x (-.f64 1/2 y))
	46.6%	(*.f64 2 (log.f64 (sqrt.f64 2)))
	47.3%	(log.f64 2)
▶	46.3%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
✓	91.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	91.2%	(-.f64 (log.f64 2) (*.f64 x y))
	46.3%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
▶	47.5%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	45.7%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))))
✓	54.7%	(*.f64 y (neg.f64 x))
▶	37.2%	(*.f64 x (-.f64 1/2 y))
	46.6%	(*.f64 2 (log.f64 (sqrt.f64 2)))
	47.3%	(log.f64 2)

Compiler

Compiled 368 to 304 computations (17.4% saved)

localize207.0ms (2.3%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 y 1/2))
✓	99.9%	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
✓	99.5%	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
✓	95.0%	(cbrt.f64 (*.f64 x (+.f64 y 1/2)))
✓	100.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))))
✓	100.0%	(*.f64 x (+.f64 y 1/2))
✓	98.9%	(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
✓	95.4%	(log1p.f64 (*.f64 x (+.f64 y 1/2)))
✓	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))
✓	99.0%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 135 to 96 computations (28.9% saved)

series24.0ms (0.3%)

Counts

11 → 164

Calls

57 calls:

Time	Variable		Expression
3.0ms	x	@	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
3.0ms	x	@	(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
2.0ms	y	@	(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (.f64 x (+.f64 y 1/2))) (log.f64 2))
1.0ms	y	@	(cbrt.f64 (*.f64 x (+.f64 y 1/2)))
1.0ms	y	@	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))

rewrite155.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1157×	`log1p-expm1-u`
608×	`expm1-udef`
606×	`log1p-udef`
294×	`associate-r`
178×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	252
1	406	230
2	5362	230

Stop Event

1×	node limit

Counts

11 → 348

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

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

simplify165.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-r`
1270×	`fma-def`
1126×	`associate-l`
480×	`associate-+r+`
450×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	787	20662
1	2127	19378

Stop Event

1×	node limit

Counts

512 → 450

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

eval282.0ms (3.2%)

Compiler: Compiled 12025 to 9410 computations (21.7% saved)

prune105.0ms (1.2%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	510	6	516
Fresh	1	2	3
Picked	2	3	5
Done	0	3	3
Total	513	14	527

Accuracy

99.7%

Counts

527 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
	45.6%	(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) 1)
✓	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	91.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	2.6%	(+.f64 (.f64 x 1/2) (.f64 x y))
	46.3%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
✓	47.5%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	0.9%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2))))))
▶	46.5%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	54.7%	(*.f64 y (neg.f64 x))
✓	37.2%	(*.f64 x (-.f64 1/2 y))
	2.6%	(*.f64 x (+.f64 1/2 y))
▶	3.5%	(*.f64 x 1/2)
▶	47.3%	(log.f64 2)
✓	91.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
	45.6%	(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x (+.f64 y 1/2)) 1)) 1)
✓	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	91.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	2.6%	(+.f64 (.f64 x 1/2) (.f64 x y))
	46.3%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3))
✓	47.5%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	0.9%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2))))))
▶	46.5%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	54.7%	(*.f64 y (neg.f64 x))
✓	37.2%	(*.f64 x (-.f64 1/2 y))
	2.6%	(*.f64 x (+.f64 1/2 y))
▶	3.5%	(*.f64 x 1/2)
▶	47.3%	(log.f64 2)

Compiler

Compiled 424 to 342 computations (19.3% saved)

localize165.0ms (1.8%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 x (+.f64 y 1/2))
✓	100.0%	(+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2))))
✓	99.9%	(/.f64 1 (*.f64 x (+.f64 y 1/2)))
✓	99.3%	(expm1.f64 (+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2)))))
✓	100.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	100.0%	(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
✓	100.0%	(+.f64 (.f64 x 1/2) (.f64 x y))

Compiler

Compiled 127 to 90 computations (29.1% saved)

series17.0ms (0.2%)

Counts

6 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2))))
2.0ms	x	@	0	(+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2))))
2.0ms	x	@	inf	(+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2))))
1.0ms	y	@	-inf	(expm1.f64 (+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2)))))
1.0ms	y	@	0	(expm1.f64 (+.f64 (/.f64 1 (.f64 x (+.f64 y 1/2))) (log.f64 (.f64 x (+.f64 y 1/2)))))

rewrite123.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`log1p-expm1-u`
550×	`expm1-udef`
548×	`log1p-udef`
475×	`expm1-log1p-u`
232×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	184
1	343	180
2	4627	180

Stop Event

1×	node limit

Counts

6 → 216

Calls

Call 1

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

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

simplify190.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1748×	`fma-neg`
1084×	`fma-def`
604×	`associate-r`
588×	`associate-l`
518×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	690	16464
1	1911	15384
2	7344	15354

Stop Event

1×	node limit

Counts

336 → 424

Calls

Call 1

Inputs
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (/.f64 1 (.f64 x (+.f64 1/2 y))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (/.f64 1 (.f64 x (+.f64 1/2 y))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (/.f64 1 (.f64 x (+.f64 1/2 y))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (/.f64 1 (.f64 x (+.f64 1/2 y))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))) (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 x (+.f64 1/2 y))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))) (/.f64 (exp.f64 (+.f64 (log.f64 (+.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 x (+.f64 1/2 y)))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))) (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x (+.f64 1/2 y))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))) (+.f64 (.f64 1/2 (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 1/2 y) 2)))) (/.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 x (+.f64 1/2 y)))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (.f64 y (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (-.f64 2 (*.f64 4 (/.f64 1 x)))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (+.f64 (.f64 y (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (-.f64 2 (.f64 4 (/.f64 1 x))))) (.f64 (pow.f64 y 2) (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (-.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 2 (.f64 4 (/.f64 1 x))) 2)) (.f64 8 (/.f64 1 x))) 2))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (+.f64 (.f64 y (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (-.f64 2 (.f64 4 (/.f64 1 x))))) (+.f64 (.f64 (pow.f64 y 2) (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (-.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 2 (.f64 4 (/.f64 1 x))) 2)) (.f64 8 (/.f64 1 x))) 2))) (.f64 (pow.f64 y 3) (.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 x)) (.f64 2 (/.f64 1 x)))) (-.f64 (+.f64 8/3 (+.f64 (.f64 1/6 (pow.f64 (-.f64 2 (.f64 4 (/.f64 1 x))) 3)) (.f64 (-.f64 2 (.f64 4 (/.f64 1 x))) (-.f64 (.f64 8 (/.f64 1 x)) 2)))) (.f64 16 (/.f64 1 x)))))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1/2 (/.f64 1 x))) y)) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1/2 (/.f64 1 x))) y) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 -1 (+.f64 1/8 (.f64 1/2 (/.f64 1 x)))) (.f64 1/2 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2)))) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1/24 (+.f64 (.f64 -1 (.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (+.f64 1/2 (/.f64 1 x)))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3)) (.f64 1/4 (/.f64 1 x)))))) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 1/2 (/.f64 1 x))) y) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 -1 (+.f64 1/8 (.f64 1/2 (/.f64 1 x)))) (*.f64 1/2 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2)))) (pow.f64 y 2))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 1/2 (/.f64 1 x))) y)) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 1/2 (/.f64 1 x))) y) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 -1 (+.f64 1/8 (.f64 1/2 (/.f64 1 x)))) (*.f64 1/2 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2)))) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 -1 (+.f64 1/24 (.f64 1/4 (/.f64 1 x)))) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 3)) (.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (+.f64 1/2 (/.f64 1 x)))))) (pow.f64 y 3))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 1/2 (/.f64 1 x))) y) (/.f64 (.f64 (exp.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 -1 y))))) (+.f64 (.f64 -1 (+.f64 1/8 (.f64 1/2 (/.f64 1 x)))) (.f64 1/2 (pow.f64 (+.f64 1/2 (/.f64 1 x)) 2)))) (pow.f64 y 2))))) 1)
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 1 (*.f64 x (+.f64 1/2 y)))
(/.f64 2 x)
(+.f64 (.f64 -4 (/.f64 y x)) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -4 (/.f64 y x)) (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -16 (/.f64 (pow.f64 y 3) x)) (+.f64 (.f64 -4 (/.f64 y x)) (+.f64 (.f64 8 (/.f64 (pow.f64 y 2) x)) (.f64 2 (/.f64 1 x)))))
(/.f64 1 (*.f64 x y))
(-.f64 (/.f64 1 (.f64 x y)) (.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 x (pow.f64 y 3)))) (/.f64 1 (.f64 x y))) (.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 x (pow.f64 y 3)))) (/.f64 1 (.f64 x y))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 x (pow.f64 y 4)))) (.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2))))))
(/.f64 1 (*.f64 x y))
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(pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))) 2))
(log.f64 (exp.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))))))
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))) 3))
(exp.f64 (log.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y)))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)))) 1)
(*.f64 1 (/.f64 (/.f64 1 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) 1)
(.f64 -1 (/.f64 1 (.f64 x (neg.f64 (+.f64 1/2 y)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2)) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y))))
(.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -1/2) (pow.f64 (*.f64 x (+.f64 1/2 y)) -1/2))
(*.f64 (/.f64 1 x) (pow.f64 (+.f64 1/2 y) -1))
(*.f64 (/.f64 1 x) (/.f64 1 (+.f64 1/2 y)))
(*.f64 (pow.f64 (+.f64 1/2 y) -1) (/.f64 1 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) -1) (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 3) (.f64 (pow.f64 x 3) 1/8))) (+.f64 (pow.f64 (.f64 x 1/2) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 x 1/2)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2))) (.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y y (-.f64 1/4 (.f64 1/2 y))))
(*.f64 (/.f64 (/.f64 1 x) (fma.f64 y y -1/4)) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 1/2 y)) -1)
(pow.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) -3) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) -1/2) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) -3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 1/2 y))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (-.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y))))) (/.f64 (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2) (-.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y))))))
(.f64 1 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y)))))
(.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y)))) 1)
(.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y))))) 2) (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))))
(.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))))
(.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -3) (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (-.f64 (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2) (/.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (*.f64 x (+.f64 1/2 y)))))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2)) (/.f64 1 (-.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (-.f64 (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2) (/.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (.f64 x (+.f64 1/2 y))))) (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -3) (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y)))) (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (pow.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -3) (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (-.f64 (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2) (/.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -3) (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 3)) (+.f64 (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2) (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (/.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (.f64 x (+.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2)) (-.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -3) (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (-.f64 (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2) (/.f64 (log.f64 (.f64 x (+.f64 1/2 y))) (.f64 x (+.f64 1/2 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2) (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2))) (neg.f64 (-.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 x (+.f64 1/2 y))) 2) (pow.f64 (.f64 x (+.f64 1/2 y)) -2)) (-.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) (/.f64 (/.f64 1 x) (+.f64 1/2 y))))
(pow.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(log.f64 (.f64 (.f64 x (+.f64 1/2 y)) (exp.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (.f64 x (+.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))))
(fma.f64 1 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 1 (log.f64 (*.f64 x (+.f64 1/2 y))) (/.f64 (/.f64 1 x) (+.f64 1/2 y)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -2)) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y))) (log.f64 (.f64 x (+.f64 1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) (/.f64 (/.f64 1 x) (+.f64 1/2 y)))
(fma.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) -1/2) (pow.f64 (.f64 x (+.f64 1/2 y)) -1/2) (log.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) (/.f64 (/.f64 1 x) (+.f64 1/2 y)))

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

eval225.0ms (2.5%)

Compiler: Compiled 10885 to 8322 computations (23.5% saved)

prune90.0ms (1%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	417	9	426
Fresh	3	0	3
Picked	2	3	5
Done	0	6	6
Total	422	18	440

Accuracy

99.7%

Counts

440 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
	2.6%	(/.f64 (+.f64 1/2 y) (/.f64 1 x))
	2.6%	(/.f64 x (/.f64 1 (+.f64 1/2 y)))
	2.6%	(/.f64 1 (/.f64 (/.f64 1 x) (+.f64 1/2 y)))
	2.3%	(-.f64 (+.f64 (.f64 x y) (+.f64 (.f64 x 1/2) 1)) 1)
	46.8%	(-.f64 (+.f64 (log.f64 2) (+.f64 (*.f64 x 1/2) 1)) 1)
✓	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	91.2%	(-.f64 (log.f64 2) (*.f64 x y))
✓	2.6%	(+.f64 (.f64 x 1/2) (.f64 x y))
	1.9%	(+.f64 (log.f64 2) (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (exp.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)))) 1))
✓	47.5%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	0.9%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 1 x) (+.f64 1/2 y)) (log.f64 (*.f64 x (+.f64 1/2 y))))) 3)))
	2.6%	(*.f64 (+.f64 1/2 y) x)
✓	54.7%	(*.f64 y (neg.f64 x))
✓	37.2%	(*.f64 x (-.f64 1/2 y))
	2.2%	(*.f64 x y)
✓	3.5%	(*.f64 x 1/2)
✓	47.3%	(log.f64 2)

Compiler

Compiled 447 to 330 computations (26.2% saved)

regimes53.0ms (0.6%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
16.0ms	y
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 288 to 203 computations (29.5% saved)

regimes39.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
13.0ms	y
9.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 184 to 127 computations (31% saved)

regimes40.0ms (0.4%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
99.7%	2	`x`
91.2%	1	`y`

Compiler

Compiled 129 to 91 computations (29.5% saved)

regimes19.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 85 to 55 computations (35.3% saved)

regimes77.0ms (0.9%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	y
25.0ms	x

Results

Accuracy	Segments	Branch
76.2%	7	`y`
86.4%	3	`x`

Compiler

Compiled 82 to 54 computations (34.1% saved)

regimes28.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`x`

Compiler

Compiled 73 to 47 computations (35.6% saved)

regimes17.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
54.7%	1	`y`
54.7%	1	`x`

Compiler

Compiled 74 to 47 computations (36.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.2b remaining (-1.9%)

Threshold costs -1.2b (-1.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x 1/2)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-1639877780.5562878	-3.470660269733706e-10

Results

23.0ms	147×	body	256	valid
2.0ms	5×	body	1024	valid
2.0ms	7×	body	512	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 196 to 152 computations (22.4% saved)

bsearch35.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-1639877780.5562878	-3.470660269733706e-10

Results

17.0ms	108×	body	256	valid
9.0ms	39×	body	512	valid
5.0ms	12×	body	1024	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 176 to 132 computations (25% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.2118957226302666e-11	9.194684327888862e-8
19.0ms	-3.011654324588133e-10	-7.30531173149128e-14

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 280 to 228 computations (18.6% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.2118957226302666e-11	9.194684327888862e-8
16.0ms	-3.011654324588133e-10	-7.30531173149128e-14

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 216 to 180 computations (16.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	342
1	68	342
2	81	342
3	85	342
4	86	342

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -200) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6189700196426901/77371252455336267181195264) (.f64 y (neg.f64 x)) (if (<=.f64 x 4382356096103031/151115727451828646838272) (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1436010445571041/2475880078570760549798248448) (.f64 y (neg.f64 x)) (if (<=.f64 x 7350268983256945/19342813113834066795298816) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -200) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -200) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -6189700196426901/77371252455336267181195264) (.f64 y (neg.f64 x)) (if (<=.f64 x 4382356096103031/151115727451828646838272) (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6189700196426901/77371252455336267181195264) (.f64 y (neg.f64 x)) (if (<=.f64 x 4382356096103031/151115727451828646838272) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6189700196426901/77371252455336267181195264) (.f64 x (neg.f64 y)) (if (<=.f64 x 4382356096103031/151115727451828646838272) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1436010445571041/2475880078570760549798248448) (.f64 y (neg.f64 x)) (if (<=.f64 x 7350268983256945/19342813113834066795298816) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1436010445571041/2475880078570760549798248448) (.f64 x (neg.f64 y)) (if (<=.f64 x 7350268983256945/19342813113834066795298816) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Compiler

Compiled 109 to 77 computations (29.4% saved)

soundness718.0ms (8%)

Rules

1530×	`times-frac`
1530×	`times-frac`
1354×	`fma-def`
1354×	`fma-def`
1284×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	158
1	64	154
2	97	146
3	214	146
4	367	146
5	608	146
6	1137	146
7	2601	146
8	5625	146
9	7762	146
0	525	13975
1	1253	13601
2	3627	13342
0	787	20662
1	2127	19378
0	28	158
1	64	154
2	97	146
3	214	146
4	367	146
5	608	146
6	1137	146
7	2601	146
8	5625	146
9	7762	146

Stop Event

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

Compiler

Compiled 113 to 62 computations (45.1% saved)

end0.0ms (0%)

preprocess89.0ms (1%)

Compiler: Compiled 268 to 158 computations (41% saved)

analyze0.0ms (0%)

sample3.3s (36.9%)

preprocess331.0ms (3.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize61.0ms (0.7%)

series56.0ms (0.6%)

rewrite276.0ms (3.1%)

simplify190.0ms (2.1%)

eval149.0ms (1.7%)

prune150.0ms (1.7%)

localize639.0ms (7.1%)

series64.0ms (0.7%)

rewrite136.0ms (1.5%)

simplify150.0ms (1.7%)

eval383.0ms (4.3%)

prune59.0ms (0.7%)

localize207.0ms (2.3%)

series24.0ms (0.3%)

rewrite155.0ms (1.7%)

simplify165.0ms (1.8%)

eval282.0ms (3.2%)

prune105.0ms (1.2%)

localize165.0ms (1.8%)

series17.0ms (0.2%)

rewrite123.0ms (1.4%)

simplify190.0ms (2.1%)

eval225.0ms (2.5%)

prune90.0ms (1%)

regimes53.0ms (0.6%)

regimes39.0ms (0.4%)

regimes40.0ms (0.4%)

regimes19.0ms (0.2%)

regimes77.0ms (0.9%)

regimes28.0ms (0.3%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch35.0ms (0.4%)

bsearch39.0ms (0.4%)

bsearch38.0ms (0.4%)

simplify11.0ms (0.1%)

soundness718.0ms (8%)

end0.0ms (0%)

preprocess89.0ms (1%)

Profiling