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)

sample3.9s (41.5%)

Results

2.1s	2148×	body	8192	exit
1.1s	6872×	body	256	valid
465.0ms	989×	body	256	infinite
108.0ms	178×	body	1024	valid
59.0ms	216×	body	512	valid
4.0ms	1×	body	2048	valid

Bogosity

preprocess273.0ms (2.9%)

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)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize57.0ms (0.6%)

Localize:

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series57.0ms (0.6%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
20.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite178.0ms (1.9%)

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)))))

simplify178.0ms (1.9%)

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)))

eval429.0ms (4.6%)

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

prune110.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	302	6	308
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	303	7	310

Accuracy

99.7%

Counts

310 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.3%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	76.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
▶	52.8%	(*.f64 y (neg.f64 x))
	91.3%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	98.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.3%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	76.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
▶	52.8%	(*.f64 y (neg.f64 x))

Compiler

Compiled 258 to 196 computations (24% saved)

localize597.0ms (6.4%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y)))
✓	100.0%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	98.0%	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

Compiler

Compiled 132 to 81 computations (38.6% saved)

series65.0ms (0.7%)

Counts

9 → 135

Calls

45 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
16.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
3.0ms	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))

rewrite169.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`expm1-udef`
792×	`log1p-udef`
372×	`associate-r`
218×	`associate-l`
216×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	241
1	454	213
2	6861	213

Stop Event

1×	node limit

Counts

9 → 294

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y)))

Outputs
(+.f64 0 (*.f64 1/2 (log1p.f64 (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 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 1)
(.f64 1 (.f64 1/2 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 1)
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(fma.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2 (.f64 x (neg.f64 y)))
(fma.f64 2 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (exp.f64 1) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (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))))
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(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (.f64 x 1/8) (.f64 x (-.f64 1/2 y)))
(fma.f64 (.f64 x 1/8) x (.f64 x (-.f64 1/2 y)))

simplify205.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1130×	`log-prod`
960×	`fma-def`
812×	`associate-r`
720×	`associate-l`
392×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	719	18430
1	1778	15689
2	7236	15683

Stop Event

1×	node limit

Counts

429 → 440

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(+.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))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 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))))) (sqrt.f64 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)))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (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 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 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 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 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 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 0 (*.f64 1/2 (log1p.f64 (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 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 1)
(.f64 1 (.f64 1/2 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(.f64 (sqrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
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(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) (/.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 1 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (log.f64 2) x) (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))) (neg.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (-.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (.f64 x 1/8) (.f64 x (-.f64 1/2 y)))
(fma.f64 (.f64 x 1/8) x (.f64 x (-.f64 1/2 y)))

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 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 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 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (/.f64 x 4) (fma.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) (.f64 (pow.f64 x 2) 1/16))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.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))))))))
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(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(/.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (.f64 (pow.f64 x 2) 1/8) 3)) (+.f64 (.f64 1/64 (.f64 (pow.f64 x 2) (pow.f64 x 2))) (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (.f64 x (-.f64 1/2 y)) (.f64 (pow.f64 x 2) 1/8)))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (fma.f64 1/64 (pow.f64 x 4) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (.f64 -1/8 (.f64 (pow.f64 x 3) (-.f64 1/2 y)))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (.f64 1/64 (.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 (pow.f64 x 2) 1/8) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (.f64 1/64 (pow.f64 x 4)) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 (pow.f64 x 2) 1/8) (.f64 x (-.f64 1/2 y))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/64 (.f64 (-.f64 1/2 y) (-.f64 1/2 (+.f64 y (.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(.f64 (/.f64 x (fma.f64 (-.f64 1/2 y) (+.f64 (-.f64 1/2 y) (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/64))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (+.f64 y (fma.f64 x 1/8 -1/2)) x))
(.f64 (/.f64 x (+.f64 y (fma.f64 x 1/8 -1/2))) (-.f64 (.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/512) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (.f64 (pow.f64 x 2) 1/64) (.f64 (-.f64 1/2 y) (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/64 (.f64 (-.f64 1/2 y) (-.f64 1/2 (+.f64 y (.f64 x 1/8))))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(.f64 (/.f64 x (fma.f64 (-.f64 1/2 y) (+.f64 (-.f64 1/2 y) (.f64 x -1/8)) (*.f64 (pow.f64 x 2) 1/64))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)) (/.f64 (+.f64 y (fma.f64 x 1/8 -1/2)) x))
(.f64 (/.f64 x (+.f64 y (fma.f64 x 1/8 -1/2))) (-.f64 (.f64 (pow.f64 x 2) 1/64) (pow.f64 (-.f64 1/2 y) 2)))
(pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 1)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 3)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 2)
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 2))
(fabs.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)) 3))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(exp.f64 (log.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) 1))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(fma.f64 x (.f64 x 1/8) (.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(fma.f64 (.f64 x 1/8) x (.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))

eval185.0ms (2%)

Compiler: Compiled 8294 to 5366 computations (35.3% saved)

prune106.0ms (1.1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	432	8	440
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	433	14	447

Accuracy

99.7%

Counts

447 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(fma.f64 x (neg.f64 y) (log.f64 2))
	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.3%	(-.f64 (log.f64 2) (*.f64 x y))
	81.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	82.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	54.2%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
▶	48.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	66.9%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	52.8%	(*.f64 y (neg.f64 x))
▶	35.8%	(*.f64 x (-.f64 1/2 y))
▶	52.2%	(log1p.f64 (exp.f64 x))
	48.3%	(log.f64 2)
▶	91.3%	(fma.f64 x (neg.f64 y) (log.f64 2))
	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.3%	(-.f64 (log.f64 2) (*.f64 x y))
	81.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	82.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	54.2%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
▶	48.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	66.9%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	52.8%	(*.f64 y (neg.f64 x))
▶	35.8%	(*.f64 x (-.f64 1/2 y))
▶	52.2%	(log1p.f64 (exp.f64 x))
	48.3%	(log.f64 2)

Compiler

Compiled 414 to 334 computations (19.3% saved)

localize242.0ms (2.6%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	98.7%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
✓	97.0%	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
	99.2%	(log1p.f64 (exp.f64 x))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))

Compiler

Compiled 84 to 55 computations (34.5% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms	y	@	0	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
0.0ms	x	@	0	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
0.0ms	x	@	inf	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
0.0ms	y	@	-inf	(log1p.f64 (*.f64 x (-.f64 1/2 y)))

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`log1p-expm1-u`
963×	`expm1-log1p-u`
904×	`log-prod`
688×	`fma-def`
332×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	94
1	219	86
2	2876	86

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

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

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

618×	`cancel-sign-sub-inv`
552×	`fma-def`
544×	`log-prod`
464×	`associate-+l-`
432×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	9177
1	1025	7947
2	3715	7819

Stop Event

1×	node limit

Counts

242 → 277

Calls

Call 1

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

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

eval166.0ms (1.8%)

Compiler: Compiled 7090 to 5424 computations (23.5% saved)

prune86.0ms (0.9%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	423	5	428
Fresh	1	3	4
Picked	1	4	5
Done	0	5	5
Total	425	17	442

Accuracy

99.7%

Counts

442 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.3%	(-.f64 (log.f64 2) (*.f64 x y))
	35.8%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
	81.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	82.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	54.2%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
✓	48.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	8.4%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 x)))))
▶	47.6%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	52.8%	(*.f64 y (neg.f64 x))
✓	35.8%	(*.f64 x (-.f64 1/2 y))
▶	3.6%	(*.f64 1/2 x)
✓	52.2%	(log1p.f64 (exp.f64 x))
▶	48.3%	(log.f64 2)
✓	91.3%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.3%	(-.f64 (log.f64 2) (*.f64 x y))
	35.8%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
	81.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	82.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	54.2%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
✓	48.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	8.4%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 x)))))
▶	47.6%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	52.8%	(*.f64 y (neg.f64 x))
✓	35.8%	(*.f64 x (-.f64 1/2 y))
▶	3.6%	(*.f64 1/2 x)
✓	52.2%	(log1p.f64 (exp.f64 x))
▶	48.3%	(log.f64 2)

Compiler

Compiled 494 to 398 computations (19.4% saved)

localize227.0ms (2.4%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (-.f64 1/2 y))
✓	100.0%	(/.f64 1 (*.f64 x (-.f64 1/2 y)))
✓	99.9%	(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 x)))
✓	99.6%	(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 x))))
✓	99.6%	(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.6%	(log.f64 (sqrt.f64 2))

Compiler

Compiled 149 to 107 computations (28.2% saved)

series28.0ms (0.3%)

Counts

7 → 108

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 x)))
3.0ms	x	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
3.0ms	x	@	-inf	(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 x)))
3.0ms	x	@	inf	(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 x)))
2.0ms	y	@	inf	(expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 x))))

rewrite154.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`log1p-expm1-u`
694×	`expm1-udef`
692×	`log1p-udef`
296×	`associate-r`
187×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	209
1	403	191
2	5582	191

Stop Event

1×	node limit

Counts

7 → 202

Calls

Call 1

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

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

simplify136.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1424×	`fma-def`
728×	`associate-r`
702×	`associate-l`
548×	`associate-+l+`
542×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	728	17164
1	2047	15701

Stop Event

1×	node limit

Counts

310 → 441

Calls

Call 1

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

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

eval280.0ms (3%)

Compiler: Compiled 12345 to 9215 computations (25.4% saved)

prune103.0ms (1.1%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	439	2	441
Fresh	1	2	3
Picked	2	3	5
Done	0	9	9
Total	442	16	458

Accuracy

99.7%

Counts

458 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	90.5%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	91.3%	(-.f64 (log.f64 2) (*.f64 x y))
	35.8%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
	35.5%	(+.f64 (log.f64 2) (-.f64 (.f64 (-.f64 1/2 y) (.f64 x (exp.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y))))) 1))
✓	82.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.6%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	54.2%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
✓	48.6%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	19.5%	(+.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)))
✓	52.8%	(*.f64 y (neg.f64 x))
✓	35.8%	(*.f64 x (-.f64 1/2 y))
✓	3.6%	(*.f64 1/2 x)
✓	52.2%	(log1p.f64 (exp.f64 x))
✓	48.3%	(log.f64 2)

Compiler

Compiled 378 to 278 computations (26.5% saved)

regimes45.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

16.0ms	y
15.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 234 to 163 computations (30.3% saved)

regimes33.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(log1p.f64 (exp.f64 x))
(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 1/2 y) (.f64 x (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	y
9.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 146 to 99 computations (32.2% saved)

regimes33.0ms (0.4%)

Counts

13 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))

Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))

Calls

2 calls:

17.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
99.4%	2	`x`
91.3%	1	`y`

Compiler

Compiled 91 to 65 computations (28.6% saved)

regimes17.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 67 to 49 computations (26.9% saved)

regimes12.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes57.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	y
22.0ms	x

Results

Accuracy	Segments	Branch
75.1%	7	`y`
84.0%	3	`x`

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes13.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
52.8%	1	`y`
52.8%	1	`x`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
3.6%	1	`y`
3.6%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-96291.72733902432	-30.739595965325186

Results

15.0ms	110×	body	256	valid
3.0ms	13×	body	512	valid
2.0ms	5×	body	1024	valid

Compiler

Compiled 192 to 148 computations (22.9% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-96291.72733902432	-30.739595965325186

Results

21.0ms	121×	body	256	valid
1.0ms	5×	body	512	valid
1.0ms	2×	body	1024	valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-96291.72733902432	-30.739595965325186

Results

15.0ms	117×	body	256	valid
2.0ms	9×	body	512	valid
1.0ms	2×	body	1024	valid

Compiler

Compiled 144 to 108 computations (25% saved)

bsearch54.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.0097374328346361e-23	1.1324121479319663e-14
20.0ms	-6.878491023399378e-12	-2.593263303666364e-23

Results

51.0ms

304×

body

256

valid

Compiler

Compiled 253 to 211 computations (16.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	335
1	72	335
2	85	335
3	89	335
4	90	335

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 -92) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -31) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -75) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -75288304448755/2596148429267413814265248164610048) (.f64 y (neg.f64 x)) (if (<=.f64 x 8932412131674635/42535295865117307932921825928971026432) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -92) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -92) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -31) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -31) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -75) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -75) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -75288304448755/2596148429267413814265248164610048) (.f64 y (neg.f64 x)) (if (<=.f64 x 8932412131674635/42535295865117307932921825928971026432) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -75288304448755/2596148429267413814265248164610048) (.f64 x (neg.f64 y)) (if (<=.f64 x 8932412131674635/42535295865117307932921825928971026432) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 106 to 75 computations (29.2% saved)

soundness798.0ms (8.5%)

Rules

1530×	`times-frac`
1530×	`times-frac`
1354×	`fma-def`
1354×	`fma-def`
1190×	`fma-neg`

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	525	13975
1	1253	13601
2	3627	13342
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 233 to 152 computations (34.8% saved)

end0.0ms (0%)

preprocess90.0ms (1%)

Compiler: Compiled 262 to 154 computations (41.2% saved)

analyze0.0ms (0%)

sample3.9s (41.5%)

preprocess273.0ms (2.9%)

eval0.0ms (0%)

prune2.0ms (0%)

localize57.0ms (0.6%)

series57.0ms (0.6%)

rewrite178.0ms (1.9%)

simplify178.0ms (1.9%)

eval429.0ms (4.6%)

prune110.0ms (1.2%)

localize597.0ms (6.4%)

series65.0ms (0.7%)

rewrite169.0ms (1.8%)

simplify205.0ms (2.2%)

eval185.0ms (2%)

prune106.0ms (1.1%)

localize242.0ms (2.6%)

series5.0ms (0%)

rewrite91.0ms (1%)

simplify125.0ms (1.3%)

eval166.0ms (1.8%)

prune86.0ms (0.9%)

localize227.0ms (2.4%)

series28.0ms (0.3%)

rewrite154.0ms (1.6%)

simplify136.0ms (1.4%)

eval280.0ms (3%)

prune103.0ms (1.1%)

regimes45.0ms (0.5%)

regimes33.0ms (0.4%)

regimes33.0ms (0.4%)

regimes17.0ms (0.2%)

regimes12.0ms (0.1%)

regimes57.0ms (0.6%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch25.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch54.0ms (0.6%)

simplify8.0ms (0.1%)

soundness798.0ms (8.5%)

end0.0ms (0%)

preprocess90.0ms (1%)

Profiling