Metrics for Logistic regression 2

analyze81.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.8s (29.8%)

Results

2.2s	2634×	body	8192	exit
1.1s	7191×	body	256	valid
227.0ms	638×	body	256	infinite
151.0ms	228×	body	512	valid
86.0ms	197×	body	1024	valid
2.0ms	2×	body	2048	valid

Bogosity

preprocess248.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

566×	`associate-+r+`
523×	`associate-+l+`
465×	`times-frac`
455×	`fma-def`
406×	`*-commutative`

Problems

251×	No Errors
5×	`(log.f64 (+.f64 1 (exp.f64 x)))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	67	226
2	144	210
3	311	210
4	717	210
5	1012	210
6	1577	210
7	3109	210
8	5122	210

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize31.0ms (0.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	98.5%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 20 to 7 computations (65% saved)

series47.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
17.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite213.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`*-un-lft-identity`
320×	`*-commutative`
289×	`unswap-sqr`
227×	`distribute-lft-in`
225×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	136	42
2	1712	42

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

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

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

simplify270.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

511×	`fma-def`
402×	`associate-r`
397×	`associate-+r-`
368×	`associate-/l*`
311×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	20901
1	1731	18940
2	7983	18940

Stop Event

1×	node limit

Counts

236 → 308

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (exp.f64 (log1p.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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(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))))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 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 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 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) 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)) (+.f64 (fma.f64 (neg.f64 x) y (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (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)) (+.f64 (fma.f64 (neg.f64 x) y (.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)) (+.f64 (fma.f64 (.f64 x (neg.f64 y)) 1 (.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)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.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)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 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 (log1p.f64 (exp.f64 x)) (.f64 x y)) (.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
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(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 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 (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 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 3) (pow.f64 (/.f64 (pow.f64 (.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (/.f64 (pow.f64 (.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))) (/.f64 (pow.f64 (.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) 3) (pow.f64 (/.f64 (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))))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.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) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))) (+.f64 (.f64 (/.f64 (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 (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)) 3) (+.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 (.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 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 1))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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)
(neg.f64 (/.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)))))
(neg.f64 (/.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)))))))
(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))))
(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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))

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) (+.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))))
(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 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(.f64 -1 (.f64 x y))
(*.f64 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 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 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 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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) -1)
(log1p.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/6))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3/2))
(log1p.f64 (exp.f64 x))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) (log1p.f64 (exp.f64 x))) (+.f64 1 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 0 (.f64 x y))) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 0 (.f64 x y))) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 0 (.f64 x y))) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y)))) (.f64 0 (*.f64 x y))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))) 3) (pow.f64 (/.f64 (pow.f64 (.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))) 3)) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))) (.f64 (/.f64 (pow.f64 (.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))) (+.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 3) (pow.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 3)) (fma.f64 (/.f64 (pow.f64 (.f64 x y) 3) (fma.f64 x (.f64 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)) 3) (fma.f64 x (.f64 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 x (.f64 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)) 6) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 x (.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) (+.f64 1 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))) 3)) (+.f64 (exp.f64 (.f64 2 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y))))) (+.f64 1 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (/.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 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (neg.f64 (+.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(neg.f64 (/.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)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 x (.f64 y (+.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))))
(.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval109.0ms (0.9%)

Compiler: Compiled 10525 to 3017 computations (71.3% saved)

prune82.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	301	7	308
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	301	8	309

Accuracy

99.7%

Counts

309 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
	73.4%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
▶	85.0%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	92.1%	(-.f64 (log.f64 2) (*.f64 x y))
	72.9%	(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
▶	85.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	48.6%	(*.f64 x (neg.f64 y))
▶	85.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
	73.4%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
▶	85.0%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	92.1%	(-.f64 (log.f64 2) (*.f64 x y))
	72.9%	(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
▶	85.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	48.6%	(*.f64 x (neg.f64 y))

Compiler

Compiled 298 to 224 computations (24.8% saved)

localize137.0ms (1.1%)

Localize:

Found 6 expressions with local error:

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

Compiler

Compiled 91 to 55 computations (39.6% saved)

series10.0ms (0.1%)

Counts

6 → 102

Calls

33 calls:

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

rewrite373.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

357×	`associate-+l+`
337×	`associate-/r*`
307×	`distribute-lft-neg-in`
290×	`associate-/l*`
218×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	137
1	303	133
2	4338	133

Stop Event

1×	node limit

Counts

6 → 736

Calls

Call 1

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

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

simplify899.0ms (7%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-r`
569×	`associate-+r+`
546×	`+-commutative`
536×	`associate-l`
408×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1030	67644
1	2978	67457

Stop Event

1×	node limit

Counts

838 → 714

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

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

eval711.0ms (5.6%)

Compiler: Compiled 20476 to 13167 computations (35.7% saved)

prune242.0ms (1.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	702	12	714
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	707	15	722

Accuracy

99.7%

Counts

722 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.1%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	69.8%	(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
▶	85.0%	(/.f64 1 (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	92.1%	(-.f64 (log.f64 2) (*.f64 x y))
	72.4%	(+.f64 (-.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
	84.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
	56.9%	(+.f64 (log.f64 2) (/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y 1/2))) x)))
	84.9%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
▶	53.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	65.5%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
▶	34.3%	(*.f64 x (-.f64 1/2 y))
✓	48.6%	(*.f64 x (neg.f64 y))
	53.0%	(log.f64 2)
	65.5%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
▶	92.1%	(fma.f64 x (neg.f64 y) (log.f64 2))
▶	69.8%	(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
▶	85.0%	(/.f64 1 (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	92.1%	(-.f64 (log.f64 2) (*.f64 x y))
	72.4%	(+.f64 (-.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
	84.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
	56.9%	(+.f64 (log.f64 2) (/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y 1/2))) x)))
	84.9%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
▶	53.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	65.5%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
▶	34.3%	(*.f64 x (-.f64 1/2 y))
✓	48.6%	(*.f64 x (neg.f64 y))
	53.0%	(log.f64 2)
	65.5%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

Compiler

Compiled 570 to 464 computations (18.6% saved)

localize212.0ms (1.7%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	99.0%	(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
✓	95.8%	(sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))
✓	100.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	99.9%	(/.f64 1 (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
✓	99.8%	(/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(fma.f64 x (neg.f64 y) (log.f64 2))

Compiler

Compiled 108 to 72 computations (33.3% saved)

series18.0ms (0.1%)

Counts

7 → 124

Calls

39 calls:

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

rewrite223.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`associate-*l/`
479×	`associate-/r*`
250×	`associate-/l*`
173×	`associate-+l+`
142×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	174
1	343	158
2	4290	158

Stop Event

1×	node limit

Counts

7 → 555

Calls

Call 1

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

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

simplify914.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/l*`
678×	`associate-r`
590×	`associate-l`
541×	`associate-/r*`
362×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	980	42081
1	2519	41719

Stop Event

1×	node limit

Counts

679 → 649

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

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

eval552.0ms (4.3%)

Compiler: Compiled 23219 to 15638 computations (32.6% saved)

prune260.0ms (2%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	932	11	943
Fresh	4	3	7
Picked	1	4	5
Done	0	3	3
Total	937	21	958

Accuracy

99.7%

Counts

958 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.1%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	69.8%	(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
	13.3%	(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y 1/2))) x))
▶	34.2%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	34.2%	(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/2 y)))
	48.4%	(/.f64 1 (/.f64 (/.f64 -1 x) y))
▶	53.3%	(/.f64 1 (/.f64 1 (+.f64 (log.f64 2) (*.f64 x 1/2))))
	48.6%	(/.f64 1 (/.f64 -1 (*.f64 x y)))
	29.5%	(/.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))) (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
	56.0%	(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))))))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	92.1%	(-.f64 (log.f64 2) (*.f64 x y))
▶	72.4%	(+.f64 (-.f64 (log1p.f64 1) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
	84.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
▶	84.9%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
✓	53.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	34.3%	(*.f64 x (-.f64 1/2 y))
✓	48.6%	(*.f64 x (neg.f64 y))
▶	3.6%	(*.f64 x 1/2)
	53.0%	(log.f64 2)
	15.0%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
✓	92.1%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	69.8%	(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
	13.3%	(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y 1/2))) x))
▶	34.2%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	34.2%	(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/2 y)))
	48.4%	(/.f64 1 (/.f64 (/.f64 -1 x) y))
▶	53.3%	(/.f64 1 (/.f64 1 (+.f64 (log.f64 2) (*.f64 x 1/2))))
	48.6%	(/.f64 1 (/.f64 -1 (*.f64 x y)))
	29.5%	(/.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))) (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
	56.0%	(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (fma.f64 x (+.f64 y 1/2) (log1p.f64 1))))))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	92.1%	(-.f64 (log.f64 2) (*.f64 x y))
▶	72.4%	(+.f64 (-.f64 (log1p.f64 1) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
	84.5%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
▶	84.9%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
✓	53.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	34.3%	(*.f64 x (-.f64 1/2 y))
✓	48.6%	(*.f64 x (neg.f64 y))
▶	3.6%	(*.f64 x 1/2)
	53.0%	(log.f64 2)
	15.0%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))

Compiler

Compiled 766 to 626 computations (18.3% saved)

localize188.0ms (1.5%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (-.f64 (log1p.f64 1) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
✓	100.0%	(-.f64 (log1p.f64 1) (exp.f64 (log1p.f64 (*.f64 x y))))
✓	98.5%	(exp.f64 (log1p.f64 (*.f64 x y)))
✓	96.6%	(log1p.f64 (*.f64 x y))
✓	100.0%	(/.f64 1 (+.f64 (log.f64 2) (*.f64 x 1/2)))
✓	100.0%	(/.f64 1 (/.f64 1 (+.f64 (log.f64 2) (*.f64 x 1/2))))
✓	100.0%	(/.f64 1 (-.f64 1/2 y))
✓	99.8%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓	100.0%	(/.f64 1 (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))
✓	99.8%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))

Compiler

Compiled 127 to 85 computations (33.1% saved)

series118.0ms (0.9%)

Counts

11 → 216

Calls

54 calls:

Time	Variable		Point	Expression
48.0ms	x	@	inf	(log1p.f64 (*.f64 x y))
27.0ms	y	@	inf	(exp.f64 (log1p.f64 (*.f64 x y)))
8.0ms	x	@	-inf	(exp.f64 (log1p.f64 (*.f64 x y)))
8.0ms	x	@	inf	(exp.f64 (log1p.f64 (*.f64 x y)))
7.0ms	y	@	-inf	(exp.f64 (log1p.f64 (*.f64 x y)))

rewrite239.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`associate-/l*`
246×	`associate-+l+`
217×	`+-commutative`
185×	`pow1`
173×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	269
1	418	221
2	5572	221

Stop Event

1×	node limit

Counts

11 → 421

Calls

Call 1

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

Outputs
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))
(+.f64 (.f64 x (neg.f64 y)) (.f64 x 1/2))
(+.f64 (.f64 (neg.f64 y) x) (.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x 1/2))) (-.f64 1 (.f64 x (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 1/2))) (-.f64 1 (.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 1/2 y))
(.f64 1 (.f64 x (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (+.f64 -1/2 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 1 (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 x (pow.f64 (-.f64 1/2 y) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))))
(*.f64 (/.f64 x -1) (+.f64 -1/2 y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 1/2 y) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(neg.f64 (/.f64 x (/.f64 1 (+.f64 -1/2 y))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.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 (/.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 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(.f64 (-.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 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 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 (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 (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 1 (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 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 (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) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (/.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)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)))) (/.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)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)))) (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(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)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (.f64 2 (exp.f64 (.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 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (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)))
(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 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y)))) 1)
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(*.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(*.f64 -1 (/.f64 1 (+.f64 -1/2 y)))
(*.f64 (pow.f64 (-.f64 1/2 y) -1/2) (pow.f64 (-.f64 1/2 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 1 (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) -1) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) -1))
(pow.f64 (-.f64 1/2 y) -1)
(pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (-.f64 1/2 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/2 y) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))
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simplify273.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

497×	`associate-r`
465×	`+-commutative`
454×	`associate-+l+`
426×	`associate-l`
346×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	960	27748
1	2494	27072

Stop Event

1×	node limit

Counts

637 → 666

Calls

Call 1

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

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

eval409.0ms (3.2%)

Compiler: Compiled 15288 to 11442 computations (25.2% saved)

prune182.0ms (1.4%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	766	8	774
Fresh	4	5	9
Picked	2	3	5
Done	1	6	7
Total	773	22	795

Accuracy

99.7%

Counts

795 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.1%	(fma.f64 x (neg.f64 y) (log.f64 2))
	13.3%	(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 y 1/2))) x))
✓	34.2%	(/.f64 x (/.f64 1 (-.f64 1/2 y)))
	48.5%	(/.f64 x (/.f64 -1 y))
	2.9%	(/.f64 x (+.f64 2 (*.f64 y 4)))
	48.4%	(/.f64 1 (/.f64 (/.f64 -1 x) y))
	3.6%	(/.f64 1 (/.f64 2 x))
✓	53.3%	(/.f64 1 (/.f64 1 (+.f64 (log.f64 2) (*.f64 x 1/2))))
	48.6%	(/.f64 1 (/.f64 -1 (*.f64 x y)))
	3.1%	(/.f64 1 (+.f64 (.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
	56.3%	(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))))
	91.3%	(-.f64 (-.f64 (+.f64 1 (log.f64 2)) 1) (*.f64 x y))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	92.1%	(-.f64 (log.f64 2) (*.f64 x y))
	92.0%	(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
✓	53.3%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	34.2%	(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (+.f64 -1/2 y))))
✓	34.3%	(*.f64 x (-.f64 1/2 y))
✓	48.6%	(*.f64 x (neg.f64 y))
✓	3.6%	(*.f64 x 1/2)
	53.0%	(log.f64 2)
	15.0%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))

Compiler

Compiled 573 to 428 computations (25.3% saved)

regimes81.0ms (0.6%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	y
24.0ms	x
19.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 382 to 272 computations (28.8% saved)

regimes101.0ms (0.8%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

76.0ms	x
20.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
92.1%	1	`y`

Compiler

Compiled 175 to 126 computations (28% saved)

regimes37.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 1 (/.f64 2 x))
(/.f64 x (/.f64 -1 y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 1 (/.f64 (/.f64 -1 x) y))
(/.f64 x (+.f64 2 (*.f64 y 4)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/2 y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (+.f64 -1/2 y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 x (/.f64 -1 y)))
(+.f64 (log.f64 2) (/.f64 x (/.f64 1 (-.f64 1/2 y))))

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

Calls

1 calls:

33.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`x`

Compiler

Compiled 114 to 83 computations (27.2% saved)

regimes21.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 1 (/.f64 2 x))
(/.f64 x (/.f64 -1 y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 1 (/.f64 (/.f64 -1 x) y))
(/.f64 x (+.f64 2 (*.f64 y 4)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/2 y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (+.f64 -1/2 y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 88 to 63 computations (28.4% saved)

regimes131.0ms (1%)

Counts

13 → 3

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 1 (/.f64 2 x))
(/.f64 x (/.f64 -1 y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 1 (/.f64 (/.f64 -1 x) y))
(/.f64 x (+.f64 2 (*.f64 y 4)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/2 y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (+.f64 -1/2 y))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))

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

Calls

2 calls:

105.0ms	y
23.0ms	x

Results

Accuracy	Segments	Branch
75.2%	9	`y`
86.2%	3	`x`

Compiler

Compiled 85 to 62 computations (27.1% saved)

regimes26.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 1 (/.f64 2 x))
(/.f64 x (/.f64 -1 y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 1 (/.f64 (/.f64 -1 x) y))
(/.f64 x (+.f64 2 (*.f64 y 4)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/2 y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (+.f64 -1/2 y))))
(log.f64 2)

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
85.9%	3	`x`

Compiler

Compiled 76 to 55 computations (27.6% saved)

regimes25.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 1 (/.f64 2 x))
(/.f64 x (/.f64 -1 y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 1 (/.f64 (/.f64 -1 x) y))
(/.f64 x (+.f64 2 (*.f64 y 4)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/2 y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (+.f64 -1/2 y))))

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

Calls

2 calls:

17.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
48.6%	1	`y`
48.6%	1	`x`

Compiler

Compiled 77 to 55 computations (28.6% saved)

regimes18.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

14.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-2146304.5164889935	-1.434049348014641

Results

17.0ms	139×	body	256	valid
1.0ms	3×	body	512	valid
1.0ms	2×	body	1024	valid

Compiler

Compiled 196 to 147 computations (25% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-2146304.5164889935	-1.434049348014641

Results

21.0ms	135×	body	256	valid
3.0ms	6×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch28.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-2146304.5164889935	-1.434049348014641

Results

18.0ms	135×	body	256	valid
8.0ms	6×	body	1024	valid
1.0ms	3×	body	512	valid

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.900697435927061e-52	4.906437010918163e-52
23.0ms	-1.434049348014641	-3.404165515701373e-7

Results

27.0ms

192×

body

256

valid

Compiler

Compiled 211 to 171 computations (19% saved)

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.900697435927061e-52	4.906437010918163e-52
23.0ms	-1.434049348014641	-3.404165515701373e-7

Results

23.0ms

192×

body

256

valid

Compiler

Compiled 163 to 135 computations (17.2% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative`
8×	`*-commutative`
6×	`sub-neg`
4×	`cancel-sign-sub-inv`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	379
1	69	379
2	83	379
3	88	379
4	90	379

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -6530219459687219/4503599627370496) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -6530219459687219/4503599627370496) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -28) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2597301565578305/2361183241434822606848) (.f64 x (neg.f64 y)) (if (<=.f64 x 5931188266773141/13479973333575319897333507543509815336818572211270286240551805124608) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7177997053961861/18889465931478580854784) (.f64 x (neg.f64 y)) (if (<=.f64 x 2830794400050817/6739986666787659948666753771754907668409286105635143120275902562304) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -6530219459687219/4503599627370496) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -6530219459687219/4503599627370496) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 x -6530219459687219/4503599627370496) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -28) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -2597301565578305/2361183241434822606848) (.f64 x (neg.f64 y)) (if (<=.f64 x 5931188266773141/13479973333575319897333507543509815336818572211270286240551805124608) (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7177997053961861/18889465931478580854784) (.f64 x (neg.f64 y)) (if (<=.f64 x 2830794400050817/6739986666787659948666753771754907668409286105635143120275902562304) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Compiler

Compiled 120 to 85 computations (29.2% saved)

soundness1.2s (9.4%)

Rules

778×	`associate-/l*`
678×	`associate-r`
622×	`associate-r`
590×	`associate-l`
569×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	67	226
2	144	210
3	311	210
4	717	210
5	1012	210
6	1577	210
7	3109	210
8	5122	210
0	577	20901
1	1731	18940
2	7983	18940
0	1030	67644
1	2978	67457
0	980	42081
1	2519	41719

Stop Event

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

Compiler

Compiled 55 to 36 computations (34.5% saved)

end0.0ms (0%)

preprocess129.0ms (1%)

Compiler: Compiled 290 to 174 computations (40% saved)

analyze81.0ms (0.6%)

sample3.8s (29.8%)

preprocess248.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize31.0ms (0.2%)

series47.0ms (0.4%)

rewrite213.0ms (1.7%)

simplify270.0ms (2.1%)

eval109.0ms (0.9%)

prune82.0ms (0.6%)

localize137.0ms (1.1%)

series10.0ms (0.1%)

rewrite373.0ms (2.9%)

simplify899.0ms (7%)

eval711.0ms (5.6%)

prune242.0ms (1.9%)

localize212.0ms (1.7%)

series18.0ms (0.1%)

rewrite223.0ms (1.7%)

simplify914.0ms (7.2%)

eval552.0ms (4.3%)

prune260.0ms (2%)

localize188.0ms (1.5%)

series118.0ms (0.9%)

rewrite239.0ms (1.9%)

simplify273.0ms (2.1%)

eval409.0ms (3.2%)

prune182.0ms (1.4%)

regimes81.0ms (0.6%)

regimes101.0ms (0.8%)

regimes37.0ms (0.3%)

regimes21.0ms (0.2%)

regimes131.0ms (1%)

regimes26.0ms (0.2%)

regimes25.0ms (0.2%)

regimes18.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch26.0ms (0.2%)

bsearch28.0ms (0.2%)

bsearch30.0ms (0.2%)

bsearch30.0ms (0.2%)

simplify14.0ms (0.1%)

soundness1.2s (9.4%)

end0.0ms (0%)

preprocess129.0ms (1%)

Profiling