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)

sample3.0s (32.7%)

Results

1.8s	2271×	body	8192	exit
929.0ms	6822×	body	256	valid
151.0ms	1006×	body	256	infinite
91.0ms	186×	body	1024	valid
64.0ms	241×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess347.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

252×	No Errors
4×	`(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
▶	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	99.6%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize73.0ms (0.8%)

Localize:

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 9 computations (75% saved)

series80.0ms (0.9%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
27.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
7.0ms	x	@	0	(fma.f64 x (neg.f64 y) (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))

rewrite202.0ms (2.2%)

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)))))

simplify186.0ms (2%)

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)))))
(+.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))))
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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)))

eval85.0ms (0.9%)

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

prune53.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	301	7	308
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	302	8	310

Accuracy

99.7%

Counts

310 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	99.6%	(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	82.4%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	76.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
▶	59.5%	(*.f64 y (neg.f64 x))
	56.9%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
	89.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	89.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	99.6%	(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	82.4%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	76.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
▶	59.5%	(*.f64 y (neg.f64 x))
	56.9%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))

Compiler

Compiled 302 to 228 computations (24.5% saved)

localize863.0ms (9.4%)

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 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	100.0%	(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
	99.6%	(log1p.f64 (exp.f64 x))
✓	99.6%	(log.f64 (log1p.f64 (exp.f64 x)))

Compiler

Compiled 116 to 61 computations (47.4% saved)

series54.0ms (0.6%)

Counts

8 → 147

Calls

42 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(log.f64 (log1p.f64 (exp.f64 x)))
13.0ms	x	@	inf	(log.f64 (log1p.f64 (exp.f64 x)))
2.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	x	@	0	(log.f64 (log1p.f64 (exp.f64 x)))

rewrite147.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`expm1-udef`
714×	`log1p-udef`
628×	`log1p-expm1-u`
336×	`associate-r`
194×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	199
1	404	191
2	6080	191

Stop Event

1×	node limit

Counts

8 → 232

Calls

Call 1

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

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1692×	`fma-neg`
898×	`log-prod`
826×	`fma-def`
640×	`associate-r`
578×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	555	14449
1	1355	13292
2	5649	13291

Stop Event

1×	node limit

Counts

379 → 331

Calls

Call 1

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

eval140.0ms (1.5%)

Compiler: Compiled 6474 to 4108 computations (36.5% saved)

prune72.0ms (0.8%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	372	6	378
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	372	14	386

Accuracy

99.7%

Counts

386 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	63.9%	(-.f64 (exp.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x)))) (.f64 x y))
✓	99.6%	(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	82.4%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	50.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
▶	41.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	44.3%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
	13.1%	(*.f64 (pow.f64 x 2) 1/8)
✓	59.5%	(*.f64 y (neg.f64 x))
▶	44.7%	(*.f64 x (-.f64 1/2 y))
	56.9%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
▶	89.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	63.9%	(-.f64 (exp.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x)))) (.f64 x y))
✓	99.6%	(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	82.4%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	50.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
▶	41.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	44.3%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
	13.1%	(*.f64 (pow.f64 x 2) 1/8)
✓	59.5%	(*.f64 y (neg.f64 x))
▶	44.7%	(*.f64 x (-.f64 1/2 y))
	56.9%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))

Compiler

Compiled 444 to 350 computations (21.2% saved)

localize245.0ms (2.7%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (exp.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x)))) (.f64 x y))
✓	100.0%	(log.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)))
✓	99.2%	(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 1/2 x))))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	97.7%	(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
✓	93.2%	(log.f64 (*.f64 x (-.f64 1/2 y)))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))

Compiler

Compiled 123 to 86 computations (30.1% saved)

series38.0ms (0.4%)

Counts

7 → 144

Calls

36 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
12.0ms	x	@	0	(log.f64 (*.f64 x (-.f64 1/2 y)))
8.0ms	x	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
0.0ms	x	@	inf	(log.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)))
0.0ms	y	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))

rewrite125.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`log1p-expm1-u`
510×	`expm1-udef`
508×	`log1p-udef`
444×	`expm1-log1p-u`
274×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	167
1	351	147
2	4997	147

Stop Event

1×	node limit

Counts

7 → 254

Calls

Call 1

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

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

simplify227.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

936×	`fma-neg`
764×	`log-prod`
746×	`fma-def`
486×	`sub-neg`
450×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	13932
1	1330	13294
2	5006	13194

Stop Event

1×	node limit

Counts

398 → 347

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

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

eval160.0ms (1.7%)

Compiler: Compiled 7233 to 5466 computations (24.4% saved)

prune141.0ms (1.5%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	441	6	447
Fresh	0	3	3
Picked	1	4	5
Done	0	6	6
Total	442	19	461

Accuracy

99.7%

Counts

461 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.2%	(-.f64 (log.f64 2) (*.f64 x y))
	8.1%	(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 x 1/2)) (.f64 2 (/.f64 (log.f64 2) x)))) (*.f64 x y))
✓	63.9%	(-.f64 (exp.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x)))) (.f64 x y))
✓	99.6%	(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	39.4%	(+.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))
	44.7%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	82.4%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	50.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	41.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	17.6%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
	13.1%	(*.f64 (pow.f64 x 2) 1/8)
✓	59.5%	(*.f64 y (neg.f64 x))
✓	44.7%	(*.f64 x (-.f64 1/2 y))
▶	3.9%	(*.f64 1/2 x)
▶	56.9%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
▶	40.2%	(log.f64 2)
✓	89.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.2%	(-.f64 (log.f64 2) (*.f64 x y))
	8.1%	(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 x 1/2)) (.f64 2 (/.f64 (log.f64 2) x)))) (*.f64 x y))
✓	63.9%	(-.f64 (exp.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x)))) (.f64 x y))
✓	99.6%	(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	39.4%	(+.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))
	44.7%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	82.4%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	50.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	41.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	17.6%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
	13.1%	(*.f64 (pow.f64 x 2) 1/8)
✓	59.5%	(*.f64 y (neg.f64 x))
✓	44.7%	(*.f64 x (-.f64 1/2 y))
▶	3.9%	(*.f64 1/2 x)
▶	56.9%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
▶	40.2%	(log.f64 2)

Compiler

Compiled 550 to 436 computations (20.7% saved)

localize616.0ms (6.7%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	98.5%	(exp.f64 (log.f64 (*.f64 x 1/2)))
✓	100.0%	(*.f64 x (+.f64 y 1/2))
✓	100.0%	(expm1.f64 (*.f64 x y))
✓	100.0%	(+.f64 (exp.f64 x) 1)
✓	99.6%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))

Compiler

Compiled 103 to 63 computations (38.8% saved)

series153.0ms (1.7%)

Counts

5 → 96

Calls

24 calls:

Time	Variable		Point	Expression
58.0ms	y	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
46.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
28.0ms	y	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
15.0ms	x	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
2.0ms	y	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))

rewrite129.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`prod-diff`
949×	`log1p-expm1-u`
502×	`expm1-udef`
502×	`log1p-udef`
219×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	106
1	304	90
2	3999	90

Stop Event

1×	node limit

Counts

5 → 178

Calls

Call 1

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

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

simplify118.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

842×	`cancel-sign-sub-inv`
836×	`fma-neg`
668×	`associate-r`
644×	`log-prod`
638×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	8601
1	1410	7705
2	5229	7662

Stop Event

1×	node limit

Counts

274 → 256

Calls

Call 1

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

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

eval157.0ms (1.7%)

Compiler: Compiled 5495 to 2854 computations (48.1% saved)

prune72.0ms (0.8%)

Pruning

21 alts after pruning (7 fresh and 14 done)

	Pruned	Kept	Total
New	253	3	256
Fresh	0	4	4
Picked	1	4	5
Done	0	10	10
Total	254	21	275

Accuracy

99.7%

Counts

275 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.2%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	89.2%	(-.f64 (log.f64 2) (*.f64 x y))
	8.1%	(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 x 1/2)) (.f64 2 (/.f64 (log.f64 2) x)))) (*.f64 x y))
✓	63.9%	(-.f64 (exp.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x)))) (.f64 x y))
✓	99.6%	(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	39.4%	(+.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))
	44.7%	(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
✓	82.4%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	76.7%	(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 x 1/8) (-.f64 1/2 y))))
	50.8%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	41.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	17.6%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
	13.1%	(*.f64 (pow.f64 x 2) 1/8)
✓	59.5%	(*.f64 y (neg.f64 x))
✓	44.7%	(*.f64 x (-.f64 1/2 y))
✓	3.9%	(*.f64 1/2 x)
	49.1%	(log1p.f64 (exp.f64 x))
	44.6%	(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
	53.3%	(log.f64 (/.f64 2 (+.f64 1 (expm1.f64 (*.f64 x y)))))
✓	40.2%	(log.f64 2)

Compiler

Compiled 398 to 281 computations (29.4% saved)

regimes64.0ms (0.7%)

Counts

25 → 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 (pow.f64 x 2) 1/8)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.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))
(log.f64 (/.f64 2 (+.f64 1 (expm1.f64 (*.f64 x y)))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(-.f64 (exp.f64 (log.f64 (+.f64 (log.f64 2) (.f64 1/2 x)))) (.f64 x y))
(-.f64 (exp.f64 (+.f64 (log.f64 (.f64 x 1/2)) (.f64 2 (/.f64 (log.f64 2) x)))) (*.f64 x y))
(-.f64 (exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))

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

Calls

3 calls:

34.0ms	y
16.0ms	x
8.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 215 to 136 computations (36.7% saved)

regimes46.0ms (0.5%)

Counts

18 → 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 (pow.f64 x 2) 1/8)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.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))
(log.f64 (/.f64 2 (+.f64 1 (expm1.f64 (*.f64 x y)))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x y))))

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

Calls

3 calls:

17.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
16.0ms	x
9.0ms	y

Results

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

Compiler

Compiled 141 to 92 computations (34.8% saved)

regimes34.0ms (0.4%)

Counts

14 → 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 (pow.f64 x 2) 1/8)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.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:

23.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
98.2%	2	`x`
89.2%	1	`y`

Compiler

Compiled 94 to 67 computations (28.7% saved)

regimes22.0ms (0.2%)

Counts

11 → 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 (pow.f64 x 2) 1/8)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (+.f64 y 1/2)) (log1p.f64 1))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
97.5%	2	`x`

Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes23.0ms (0.3%)

Counts

8 → 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 (pow.f64 x 2) 1/8)
(+.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:

21.0ms

Results

Accuracy	Segments	Branch
97.0%	2	`x`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes79.0ms (0.9%)

Counts

7 → 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 (pow.f64 x 2) 1/8)
(+.f64 (log.f64 2) (*.f64 1/2 x))

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

Calls

2 calls:

47.0ms	y
29.0ms	x

Results

Accuracy	Segments	Branch
78.5%	7	`y`
82.2%	3	`x`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes51.0ms (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 (pow.f64 x 2) 1/8)

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
82.2%	3	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes9.0ms (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:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
59.5%	1	`y`
59.5%	1	`x`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes7.0ms (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:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
3.9%	1	`y`
3.9%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch28.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-2572845.831272366	-91.16377578968401

Results

17.0ms	104×	body	256	valid
5.0ms	11×	body	1024	valid
3.0ms	11×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 192 to 148 computations (22.9% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-6.191351212721401	-0.00751060554680235

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch25.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-2572845.831272366	-91.16377578968401

Results

17.0ms	110×	body	256	valid
4.0ms	9×	body	1024	valid
2.0ms	8×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 144 to 108 computations (25% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.461251533329543e-135	1.9276929497904474e-129
22.0ms	-2.1425579948723404e-53	-9.320377780056556e-58

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 297 to 242 computations (18.5% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.461251533329543e-135	1.9276929497904474e-129
18.0ms	-2.1425579948723404e-53	-9.320377780056556e-58

Results

33.0ms

272×

body

256

valid

Compiler

Compiled 229 to 191 computations (16.6% saved)

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`+-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	55	415
1	80	415
2	93	415
3	97	415
4	98	415

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 -95) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -92) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1639164757362759/1725436586697640946858688965569256363112777243042596638790631055949824) (.f64 y (neg.f64 x)) (if (<=.f64 x 5931322245600385/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7950811791502729/441711766194596082395824375185729628956870974218904739530401550323154944) (.f64 y (neg.f64 x)) (if (<=.f64 x 7791884381588717/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (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 -95) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -95) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -92) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -92) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1639164757362759/1725436586697640946858688965569256363112777243042596638790631055949824) (.f64 y (neg.f64 x)) (if (<=.f64 x 5931322245600385/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1639164757362759/1725436586697640946858688965569256363112777243042596638790631055949824) (.f64 y (neg.f64 x)) (if (<=.f64 x 5931322245600385/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -1639164757362759/1725436586697640946858688965569256363112777243042596638790631055949824) (.f64 x (neg.f64 y)) (if (<=.f64 x 5931322245600385/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7950811791502729/441711766194596082395824375185729628956870974218904739530401550323154944) (.f64 y (neg.f64 x)) (if (<=.f64 x 7791884381588717/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7950811791502729/441711766194596082395824375185729628956870974218904739530401550323154944) (.f64 x (neg.f64 y)) (if (<=.f64 x 7791884381588717/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (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 131 to 93 computations (29% saved)

soundness872.0ms (9.5%)

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	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

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%)

preprocess160.0ms (1.7%)

Compiler: Compiled 308 to 182 computations (40.9% saved)

analyze0.0ms (0%)

sample3.0s (32.7%)

preprocess347.0ms (3.8%)

eval0.0ms (0%)

prune2.0ms (0%)

localize73.0ms (0.8%)

series80.0ms (0.9%)

rewrite202.0ms (2.2%)

simplify186.0ms (2%)

eval85.0ms (0.9%)

prune53.0ms (0.6%)

localize863.0ms (9.4%)

series54.0ms (0.6%)

rewrite147.0ms (1.6%)

simplify160.0ms (1.7%)

eval140.0ms (1.5%)

prune72.0ms (0.8%)

localize245.0ms (2.7%)

series38.0ms (0.4%)

rewrite125.0ms (1.4%)

simplify227.0ms (2.5%)

eval160.0ms (1.7%)

prune141.0ms (1.5%)

localize616.0ms (6.7%)

series153.0ms (1.7%)

rewrite129.0ms (1.4%)

simplify118.0ms (1.3%)

eval157.0ms (1.7%)

prune72.0ms (0.8%)

regimes64.0ms (0.7%)

regimes46.0ms (0.5%)

regimes34.0ms (0.4%)

regimes22.0ms (0.2%)

regimes23.0ms (0.3%)

regimes79.0ms (0.9%)

regimes51.0ms (0.6%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch21.0ms (0.2%)

bsearch25.0ms (0.3%)

bsearch43.0ms (0.5%)

bsearch36.0ms (0.4%)

simplify29.0ms (0.3%)

soundness872.0ms (9.5%)

end0.0ms (0%)

preprocess160.0ms (1.7%)

Profiling