Metrics for Logistic regression 2

analyze72.0ms (0.8%)

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)

sample3.5s (38.2%)

Results

2.1s	2583×	body	8192	exit
1.2s	7149×	body	256	valid
113.0ms	227×	body	1024	valid
94.0ms	656×	body	256	infinite
56.0ms	222×	body	512	valid
2.0ms	2×	body	2048	valid

Bogosity

preprocess228.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize30.0ms (0.3%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series49.0ms (0.5%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	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))

rewrite143.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

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

simplify311.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

229 → 243

Calls

Call 1

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

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

eval66.0ms (0.7%)

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

prune46.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	236	7	243
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	236	8	244

Accuracy

99.7%

Counts

244 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.6%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
	98.8%	(-.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2))) (.f64 x y))
▶	98.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	93.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	85.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	46.0%	(*.f64 (neg.f64 x) y)
	62.9%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))
▶	85.6%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
	98.8%	(-.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2))) (.f64 x y))
▶	98.8%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	93.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	85.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	46.0%	(*.f64 (neg.f64 x) y)
	62.9%	(log.f64 (.f64 (exp.f64 (.f64 x (neg.f64 y))) (+.f64 (exp.f64 x) 1)))

Compiler

Compiled 330 to 244 computations (26.1% saved)

localize366.0ms (4%)

Localize:

Found 8 expressions with local error:

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

Compiler

Compiled 107 to 63 computations (41.1% saved)

series62.0ms (0.7%)

Counts

8 → 111

Calls

39 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
18.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
3.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (.f64 x y))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))

rewrite146.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	192
1	368	172
2	4936	172

Stop Event

1×	node limit

Counts

8 → 264

Calls

Call 1

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

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

simplify162.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1416×	`fma-neg`
894×	`log-prod`
730×	`fma-def`
602×	`associate-r`
552×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	577	14904
1	1401	12852
2	5663	12802

Stop Event

1×	node limit

Counts

375 → 357

Calls

Call 1

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

Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 (*.f64 1/2 x) (pow.f64 (sqrt.f64 2) 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 (sqrt.f64 2)) (.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) 1/8 (/.f64 x 2)) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (sqrt.f64 2)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (/.f64 (.f64 3 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (sqrt.f64 2) 2))))) (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))) (/.f64 x (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (fma.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32) (.f64 (pow.f64 x 2) 1/16)) (+.f64 (log.f64 (sqrt.f64 2)) (/.f64 x 4)))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) 1/8)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (.f64 3 (/.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))))))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y)) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4))))))))
(fma.f64 1/3 (.f64 (pow.f64 x 3) (fma.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) (/.f64 (.f64 3 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (sqrt.f64 2) 2))))) (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) (.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4)))))))
(fma.f64 (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 2) 6)) -1/32)) 1/3 (fma.f64 2 (log.f64 (sqrt.f64 2)) (fma.f64 x (-.f64 1/2 y) (.f64 (pow.f64 x 2) 1/8))))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(fma.f64 -1 (.f64 x y) (.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 2 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 1/2 x) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.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 1/2 x (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 (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)))
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(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))
(fabs.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)) x)
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (pow.f64 y 2))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (pow.f64 y 2)))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (pow.f64 y 2))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (pow.f64 y 2)))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.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 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.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 (-.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 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 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))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (.f64 (+.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 x (.f64 (-.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)) (fma.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(.f64 (-.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) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (.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 x (.f64 (-.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)) (fma.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (-.f64 (pow.f64 (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 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (.f64 (+.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 x (.f64 (-.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)) (fma.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (log.f64 2) 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 (.f64 x (-.f64 1/2 y)) 2) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 x (.f64 (-.f64 1/2 y) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(fabs.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval122.0ms (1.3%)

Compiler: Compiled 6578 to 4009 computations (39.1% saved)

prune65.0ms (0.7%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	349	8	357
Fresh	2	0	2
Picked	1	4	5
Done	1	0	1
Total	353	12	365

Accuracy

99.7%

Counts

365 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	93.2%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
▶	98.8%	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))) (*.f64 x y))
✓	93.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	85.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	85.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	53.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	67.8%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	46.0%	(*.f64 (neg.f64 x) y)
▶	33.1%	(*.f64 x (-.f64 1/2 y))
	54.6%	(log1p.f64 (exp.f64 x))
	53.5%	(log.f64 2)
✓	85.6%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
▶	93.2%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
▶	98.8%	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))) (*.f64 x y))
✓	93.9%	(-.f64 (log.f64 2) (*.f64 x y))
▶	85.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	85.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	53.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	67.8%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	46.0%	(*.f64 (neg.f64 x) y)
▶	33.1%	(*.f64 x (-.f64 1/2 y))
	54.6%	(log1p.f64 (exp.f64 x))
	53.5%	(log.f64 2)

Compiler

Compiled 366 to 298 computations (18.6% saved)

localize954.0ms (10.4%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
✓	99.3%	(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
✓	99.1%	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
✓	100.0%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.8%	(log.f64 (sqrt.f64 2))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))) (*.f64 x y))
	99.6%	(log1p.f64 (exp.f64 x))
✓	99.6%	(log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
✓	98.9%	(exp.f64 (log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))

Compiler

Compiled 145 to 93 computations (35.9% saved)

series50.0ms (0.6%)

Counts

9 → 92

Calls

39 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
13.0ms	x	@	inf	(log.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
3.0ms	x	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
1.0ms	y	@	0	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))

rewrite155.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`expm1-udef`
742×	`log1p-udef`
394×	`associate-r`
352×	`log1p-expm1-u`
234×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	215
1	497	185
2	6794	185

Stop Event

1×	node limit

Counts

9 → 307

Calls

Call 1

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

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

simplify190.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1820×	`fma-neg`
1122×	`associate-r`
1072×	`fma-def`
1052×	`associate-l`
530×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	818	18129
1	2062	16415
2	7837	16407

Stop Event

1×	node limit

Counts

399 → 462

Calls

Call 1

Inputs
(*.f64 1/2 (log.f64 2))
(+.f64 (.f64 1/4 x) (.f64 1/2 (log.f64 2)))
(+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 1/2 (log.f64 2))))
(+.f64 (.f64 -1/384 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (.f64 1/2 (log.f64 2)))))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (.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) (+.f64 (.f64 x y) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (.f64 x y) (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 (log1p.f64 1) (.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 1) (.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) 3)) (+.f64 (pow.f64 (-.f64 (log1p.f64 1) (.f64 x y)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))) (.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 1) (.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 1) (.f64 x y)) 2) (.f64 (fma.f64 (neg.f64 y) x (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))) (-.f64 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y))))
(pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 1) (.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 x (neg.f64 y)))
(fma.f64 1 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log1p.f64 1) (.f64 x y)) (fma.f64 (neg.f64 y) x (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 1) 2)) (cbrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 1) (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(.f64 1 (.f64 x (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(.f64 (sqrt.f64 (-.f64 1/2 y)) (.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2)) 3) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6) 3))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) 1) (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 x)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6))
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 1)
(.f64 1 (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 1/6) (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 1/3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log1p.f64 1)))) (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log1p.f64 1)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 (log1p.f64 1) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (log1p.f64 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log1p.f64 1) (.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log1p.f64 1) 2)) (-.f64 (.f64 x (-.f64 1/2 y)) (log1p.f64 1)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
(fma.f64 (-.f64 1/2 y) x (log1p.f64 1))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log1p.f64 1))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 1) 2)) (cbrt.f64 (log1p.f64 1)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log1p.f64 1))

Outputs
(*.f64 1/2 (log.f64 2))
(+.f64 (.f64 1/4 x) (.f64 1/2 (log.f64 2)))
(fma.f64 1/4 x (*.f64 1/2 (log.f64 2)))
(fma.f64 1/2 (log.f64 2) (*.f64 1/4 x))
(+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 1/2 (log.f64 2))))
(fma.f64 1/16 (pow.f64 x 2) (fma.f64 1/4 x (*.f64 1/2 (log.f64 2))))
(fma.f64 1/16 (pow.f64 x 2) (fma.f64 1/2 (log.f64 2) (*.f64 1/4 x)))
(+.f64 (.f64 -1/384 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (.f64 1/2 (log.f64 2)))))
(fma.f64 -1/384 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 2) (fma.f64 1/4 x (*.f64 1/2 (log.f64 2)))))
(fma.f64 -1/384 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 2) (fma.f64 1/2 (log.f64 2) (*.f64 1/4 x))))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 1/2 (log.f64 2)))
(+.f64 (log.f64 (.f64 1/2 (log.f64 2))) (.f64 1/2 (/.f64 x (log.f64 2))))
(fma.f64 1/2 (/.f64 x (log.f64 2)) (log.f64 (*.f64 1/2 (log.f64 2))))
(+.f64 (log.f64 (.f64 1/2 (log.f64 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (.f64 1/2 (/.f64 x (log.f64 2)))))
(+.f64 (log.f64 (.f64 1/2 (log.f64 2))) (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2)))) (/.f64 x (log.f64 2)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 x (log.f64 2))) (log.f64 (*.f64 1/2 (log.f64 2))))
(+.f64 (log.f64 (.f64 1/2 (log.f64 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/4 (/.f64 1 (log.f64 2))) (.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (.f64 1/2 (/.f64 x (log.f64 2))))))
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(log.f64 2)
(log.f64 2)
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(+.f64 (log.f64 2) (*.f64 1/2 x))
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(log.f64 2)
(log.f64 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (log1p.f64 (exp.f64 x)))
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(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log1p.f64 1))
(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))

eval279.0ms (3%)

Compiler: Compiled 12993 to 9067 computations (30.2% saved)

prune156.0ms (1.7%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	626	3	629
Fresh	0	3	3
Picked	0	5	5
Done	0	4	4
Total	626	15	641

Accuracy

99.7%

Counts

641 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	93.2%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.8%	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))) (*.f64 x y))
✓	93.9%	(-.f64 (log.f64 2) (*.f64 x y))
	43.7%	(+.f64 (log.f64 2) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))) 3))
✓	85.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
▶	53.9%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3))
✓	85.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	53.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	67.8%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	46.0%	(*.f64 (neg.f64 x) y)
✓	33.1%	(*.f64 x (-.f64 1/2 y))
▶	3.7%	(*.f64 1/2 x)
▶	54.6%	(log1p.f64 (exp.f64 x))
▶	53.5%	(log.f64 2)
✓	85.6%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	93.2%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.8%	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))) (*.f64 x y))
✓	93.9%	(-.f64 (log.f64 2) (*.f64 x y))
	43.7%	(+.f64 (log.f64 2) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))) 3))
✓	85.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
▶	53.9%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3))
✓	85.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	53.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	67.8%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	46.0%	(*.f64 (neg.f64 x) y)
✓	33.1%	(*.f64 x (-.f64 1/2 y))
▶	3.7%	(*.f64 1/2 x)
▶	54.6%	(log1p.f64 (exp.f64 x))
▶	53.5%	(log.f64 2)

Compiler

Compiled 382 to 318 computations (16.8% saved)

localize159.0ms (1.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3))
✓	99.4%	(cbrt.f64 (*.f64 1/2 x))
✓	99.2%	(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
	99.6%	(log1p.f64 (exp.f64 x))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
✓	99.1%	(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
✓	97.0%	(log1p.f64 (*.f64 x (-.f64 1/2 y)))

Compiler

Compiled 82 to 60 computations (26.8% saved)

series10.0ms (0.1%)

Counts

6 → 75

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
1.0ms	y	@	inf	(log1p.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms	y	@	0	(log1p.f64 (*.f64 x (-.f64 1/2 y)))

rewrite111.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`fma-def`
816×	`log1p-expm1-u`
815×	`expm1-log1p-u`
420×	`expm1-udef`
418×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	115
1	266	107
2	3492	107

Stop Event

1×	node limit

Counts

6 → 264

Calls

Call 1

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

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

simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1016×	`cancel-sign-sub-inv`
724×	`log-prod`
640×	`fma-neg`
496×	`fma-def`
484×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	10986
1	1313	10556
2	4465	10516

Stop Event

1×	node limit

Counts

339 → 390

Calls

Call 1

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

Outputs
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 -1/2 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)) (.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (.f64 -1/2 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (*.f64 x (-.f64 1/2 y))))
(fma.f64 -1/2 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)) (fma.f64 1/3 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (*.f64 x (-.f64 1/2 y))))
(fma.f64 -1/2 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (fma.f64 1/3 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (*.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 x 4) (pow.f64 (-.f64 1/2 y) 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 -1/2 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)) (fma.f64 -1/4 (.f64 (pow.f64 x 4) (pow.f64 (-.f64 1/2 y) 4)) (fma.f64 1/3 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (.f64 x (-.f64 1/2 y)))))
(fma.f64 -1/2 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (fma.f64 -1/4 (.f64 (pow.f64 x 4) (pow.f64 (-.f64 1/2 y) 4)) (fma.f64 1/3 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (.f64 x (-.f64 1/2 y)))))
(fma.f64 -1/2 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (fma.f64 -1/4 (pow.f64 (.f64 x (-.f64 1/2 y)) 4) (fma.f64 1/3 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 (-.f64 1/2 y)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (/.f64 1 x) (-.f64 1/2 y))))
(+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 x (-.f64 1/2 y))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))))
(+.f64 (log.f64 (-.f64 1/2 y)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (/.f64 1 x) (-.f64 1/2 y))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))))
(+.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y)))) (/.f64 -1/2 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))) (/.f64 1 (.f64 x (-.f64 1/2 y)))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))))
(+.f64 (log.f64 (-.f64 1/2 y)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (/.f64 1/3 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)))) (/.f64 1/2 (.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (.f64 x (-.f64 1/2 y))) (log.f64 (.f64 x (-.f64 1/2 y)))) (/.f64 1/3 (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (/.f64 -1/2 (pow.f64 (.f64 x (-.f64 1/2 y)) 2)))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 -1/2 y)) (log.f64 (/.f64 -1 x)))
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(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (.f64 x 1/2)) 1/3))
(cbrt.f64 (*.f64 x 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 1/2))) 1))
(cbrt.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(fma.f64 x 1/2 (log.f64 2))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (.f64 x 1/2))) (/.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (log.f64 2) (.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 x -1/2)))
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (log.f64 2) (.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 x -1/2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (log.f64 2) (.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 x -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (log.f64 2) (.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 x -1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log.f64 1/2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2))) (neg.f64 (-.f64 (log.f64 2) (.f64 x 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (-.f64 (log.f64 2) (.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 x -1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 x 1/2 (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(fma.f64 x 1/2 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (.f64 2 (+.f64 1 (expm1.f64 (.f64 x 1/2)))))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 1/2))) 2))
(fma.f64 x 1/2 (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(fma.f64 x 1/2 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 x 1/2 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 x 1/2) 1 (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 x) (cbrt.f64 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (cbrt.f64 (.f64 x 1/2)))) (log.f64 2))
(fma.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) 4) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 7) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (.f64 x 1/2) 1/6) (.f64 (pow.f64 (.f64 x 1/2) 1/6) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 1/2) 3) x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) 3) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (pow.f64 (.f64 x 1/2) 1/6) 3) (pow.f64 (pow.f64 (.f64 x 1/2) 1/6) 3) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) 1) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 1/2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (.f64 (cbrt.f64 x) (cbrt.f64 1/2)) (log.f64 2))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2))) (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (cbrt.f64 (.f64 x 1/2)))) (log.f64 2))
(fma.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) 4) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x 1/2))) 7) (log.f64 2))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (pow.f64 (.f64 x 1/2) 1/6)) (pow.f64 (.f64 x 1/2) 1/6) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))

eval197.0ms (2.1%)

Compiler: Compiled 8195 to 6290 computations (23.2% saved)

prune98.0ms (1.1%)

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	474	5	479
Fresh	1	0	1
Picked	2	3	5
Done	1	8	9
Total	478	16	494

Accuracy

99.7%

Counts

494 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	93.2%	(-.f64 (.f64 2 (log.f64 (sqrt.f64 2))) (.f64 x y))
✓	98.8%	(-.f64 (.f64 2 (exp.f64 (log.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))))) (*.f64 x y))
✓	93.9%	(-.f64 (log.f64 2) (*.f64 x y))
	73.8%	(+.f64 (log.f64 2) (/.f64 (.f64 (+.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 x (-.f64 1/2 y))) (+.f64 (.f64 x (-.f64 1/2 y)) 2)))
✓	85.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	53.9%	(+.f64 (log.f64 2) (*.f64 1/2 x))
	67.4%	(+.f64 (log.f64 2) (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 3)))
	5.5%	(+.f64 (log.f64 2) (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (.f64 x (-.f64 1/2 y)))))))
	53.1%	(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓	46.0%	(*.f64 (neg.f64 x) y)
✓	33.1%	(*.f64 x (-.f64 1/2 y))
✓	3.7%	(*.f64 1/2 x)
✓	54.6%	(log1p.f64 (exp.f64 x))
	61.4%	(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1/2 y)))) 2))
✓	53.5%	(log.f64 2)

Compiler

Compiled 422 to 316 computations (25.1% saved)

regimes45.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
13.0ms	y
13.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 262 to 184 computations (29.8% saved)

regimes34.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
98.7%	2	`x`
93.9%	1	`y`

Compiler

Compiled 69 to 50 computations (27.5% saved)

regimes11.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`x`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes28.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
70.2%	3	`y`
78.3%	2	`x`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes13.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
78.1%	2	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
46.0%	1	`y`
46.0%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
3.7%	1	`y`
3.7%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-5908.45786666453	-0.3607640631467018

Results

18.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	-5908.45786666453	-0.3607640631467018

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 144 to 108 computations (25% saved)

bsearch198.0ms (2.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
198.0ms	-2.8481199983076514e-36	-4.996617372686096e-42

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 160 to 129 computations (19.4% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-2.8481199983076514e-36	-4.996617372686096e-42

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 124 to 102 computations (17.7% saved)

simplify322.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	250
1	55	250
2	68	250
3	73	250
4	75	250

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -30) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1922362406462171/196159429230833773869868419475239575503198607639501078528) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 1/2 x)))
(if (<=.f64 x -5394384303847929/49039857307708443467467104868809893875799651909875269632) (*.f64 (neg.f64 x) y) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -30) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -30) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -30) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1922362406462171/196159429230833773869868419475239575503198607639501078528) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 1/2 x)))
(if (<=.f64 x -1922362406462171/196159429230833773869868419475239575503198607639501078528) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -1922362406462171/196159429230833773869868419475239575503198607639501078528) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -5394384303847929/49039857307708443467467104868809893875799651909875269632) (*.f64 (neg.f64 x) y) (log.f64 2))
(if (<=.f64 x -5394384303847929/49039857307708443467467104868809893875799651909875269632) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -5394384303847929/49039857307708443467467104868809893875799651909875269632) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 82 to 59 computations (28% saved)

soundness454.0ms (5%)

Rules

1570×	`fma-neg`
1540×	`times-frac`
1328×	`fma-def`
800×	`fma-neg`
798×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 34 to 20 computations (41.2% saved)

end0.0ms (0%)

preprocess101.0ms (1.1%)

Compiler: Compiled 218 to 132 computations (39.4% saved)

analyze72.0ms (0.8%)

sample3.5s (38.2%)

preprocess228.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (0.3%)

series49.0ms (0.5%)

rewrite143.0ms (1.6%)

simplify311.0ms (3.4%)

eval66.0ms (0.7%)

prune46.0ms (0.5%)

localize366.0ms (4%)

series62.0ms (0.7%)

rewrite146.0ms (1.6%)

simplify162.0ms (1.8%)

eval122.0ms (1.3%)

prune65.0ms (0.7%)

localize954.0ms (10.4%)

series50.0ms (0.6%)

rewrite155.0ms (1.7%)

simplify190.0ms (2.1%)

eval279.0ms (3%)

prune156.0ms (1.7%)

localize159.0ms (1.7%)

series10.0ms (0.1%)

rewrite111.0ms (1.2%)

simplify143.0ms (1.6%)

eval197.0ms (2.1%)

prune98.0ms (1.1%)

regimes45.0ms (0.5%)

regimes34.0ms (0.4%)

regimes11.0ms (0.1%)

regimes28.0ms (0.3%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch198.0ms (2.2%)

bsearch19.0ms (0.2%)

simplify322.0ms (3.5%)

soundness454.0ms (5%)

end0.0ms (0%)

preprocess101.0ms (1.1%)

Profiling