Metrics for Logistic regression 2

analyze73.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.2s (24.3%)

Results

1.9s	2620×	body	8192	exit
1.0s	7057×	body	256	valid
113.0ms	755×	body	256	infinite
94.0ms	217×	body	1024	valid
58.0ms	226×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess678.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	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
▶	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize34.0ms (0.3%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series50.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
20.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
3.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite170.0ms (1.3%)

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)))

simplify122.0ms (0.9%)

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)))

eval60.0ms (0.5%)

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

prune41.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	238	5	243
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	238	6	244

Accuracy

98.9%

Counts

244 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.5%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	87.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	69.2%	(+.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)))))
▶	82.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.9%	(*.f64 (neg.f64 x) y)
▶	82.5%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	87.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	69.2%	(+.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)))))
▶	82.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.9%	(*.f64 (neg.f64 x) y)

Compiler

Compiled 238 to 184 computations (22.7% saved)

localize214.0ms (1.6%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	99.8%	(*.f64 -1/192 (pow.f64 x 4))
✓	97.3%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
✓	84.4%	(+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
✓	100.0%	(fma.f64 x (-.f64 1/2 y) (log.f64 2))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 144 to 99 computations (31.3% saved)

series14.0ms (0.1%)

Counts

8 → 120

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
2.0ms	y	@	0	(+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
1.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	inf	(+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
0.0ms	x	@	0	(*.f64 -1/192 (pow.f64 x 4))

rewrite140.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1081×	`log1p-expm1-u`
614×	`expm1-udef`
612×	`log1p-udef`
278×	`associate-r`
171×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	216
1	376	216
2	5278	216

Stop Event

1×	node limit

Counts

8 → 236

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x 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 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(*.f64 -1/192 (pow.f64 x 4))
(*.f64 x (-.f64 1/2 y))

Outputs
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 1) (.f64 (.f64 x (neg.f64 y)) 1))
(+.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 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 (log1p.f64 1) (*.f64 x y))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x y))))
(.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 (log1p.f64 1) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (.f64 x y)) (-.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 (log1p.f64 1) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 1) (.f64 x y)))
(/.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 (log1p.f64 1) (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 1) (.f64 x y))))
(/.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 (log1p.f64 1) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 1) (.f64 x (neg.f64 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 x) y)))
(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 1 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 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 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log1p.f64 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 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 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 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 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 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 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 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log1p.f64 1) (.f64 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 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log1p.f64 1) 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 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(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 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 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (-.f64 1/2 y)))
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(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 1/8 (pow.f64 x 2))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 1/8)) (.f64 x (sqrt.f64 1/8)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/192 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/192 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/192 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/192)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/36864))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/192 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888))
(expm1.f64 (log1p.f64 (*.f64 -1/192 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/192 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/192 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(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))))

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1648×	`times-frac`
1466×	`fma-neg`
592×	`fma-def`
590×	`log-prod`
544×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	447	15523
1	1071	14555
2	4498	14555

Stop Event

1×	node limit

Counts

356 → 275

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(*.f64 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 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)))
(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 x (-.f64 1/2 y))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 1/8 (pow.f64 x 2)))
(*.f64 -1/192 (pow.f64 x 4))
(+.f64 (.f64 -1/192 (pow.f64 x 4)) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (.f64 -1 (.f64 x y)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.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))
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 1) (.f64 (.f64 x (neg.f64 y)) 1))
(+.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 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 (log1p.f64 1) (*.f64 x y))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x y))))
(.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 (log1p.f64 1) (.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) (.f64 x y)) (-.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 (log1p.f64 1) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log1p.f64 1) (.f64 x y)))
(/.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 (log1p.f64 1) (.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 1) (.f64 x y))))
(/.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 (log1p.f64 1) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 1) (.f64 x (neg.f64 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 x) y)))
(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 1 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 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 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log1p.f64 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))
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(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x (-.f64 1/2 y)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2))))) (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))) (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (pow.f64 x 4) 1/64)) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 1/8 (pow.f64 x 2))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 1/8)) (.f64 x (sqrt.f64 1/8)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/192 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/192 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/192 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888) 1/3)
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/192)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/36864))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/192 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888))
(expm1.f64 (log1p.f64 (*.f64 -1/192 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/192 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/192 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/192 (pow.f64 x 4))))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(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))))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.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 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
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(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (.f64 (pow.f64 x 2) -1/8)) (.f64 (pow.f64 x 4) 1/64)))
(/.f64 1 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))) (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) 1) (fma.f64 (pow.f64 x 4) 1/64 (.f64 x (.f64 (-.f64 1/2 y) (+.f64 (.f64 x (-.f64 1/2 y)) (.f64 -1/8 (pow.f64 x 2)))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (.f64 (pow.f64 x 2) -1/8)) (.f64 (pow.f64 x 4) 1/64)))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 x (.f64 (-.f64 1/2 y) (.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (fma.f64 (pow.f64 x 4) 1/64 (.f64 (.f64 x (-.f64 1/2 y)) (*.f64 (pow.f64 x 2) -1/8)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x (-.f64 1/2 y)) (-.f64 (.f64 x (-.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/64 (.f64 x (.f64 (-.f64 1/2 y) (+.f64 (.f64 x (-.f64 1/2 y)) (*.f64 -1/8 (pow.f64 x 2))))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (.f64 (pow.f64 x 2) -1/8)) (*.f64 (pow.f64 x 4) 1/64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (pow.f64 x 4) -1/64)) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (pow.f64 x 4) 1/64)) (-.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (.f64 (pow.f64 x 4) -1/64)) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 x 2) -1/8)))
(pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))) 1)
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))) 3)
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))) 2)
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))) 2))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))) 3))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x (-.f64 1/2 y)))) 1))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 1/8 (pow.f64 x 2))) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 1/8)) (.f64 x (sqrt.f64 1/8)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/192 (pow.f64 x 4)))) 1)
(*.f64 -1/192 (pow.f64 x 4))
(pow.f64 (*.f64 -1/192 (pow.f64 x 4)) 1)
(*.f64 -1/192 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -1/192 (pow.f64 x 4))) 3)
(*.f64 -1/192 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888))
(pow.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 -1/192)) 2)
(*.f64 -1/192 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/36864))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/192))
(*.f64 -1/192 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/192 (pow.f64 x 4)))))
(*.f64 -1/192 (pow.f64 x 4))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888))
(expm1.f64 (log1p.f64 (*.f64 -1/192 (pow.f64 x 4))))
(*.f64 -1/192 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -1/192 (pow.f64 x 4))))
(*.f64 -1/192 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 -1/192 (pow.f64 x 4))) 1))
(*.f64 -1/192 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -1/192 (pow.f64 x 4))))
(*.f64 -1/192 (pow.f64 x 4))
(+.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 x (fma.f64 y (+.f64 y 1/2) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (pow.f64 y 2))))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.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 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (+.f64 y 1/2))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y 1/2) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (pow.f64 y 2))))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.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 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.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))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(*.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))

eval659.0ms (5%)

Compiler: Compiled 6973 to 5399 computations (22.6% saved)

prune138.0ms (1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	294	7	301
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	296	11	307

Accuracy

98.9%

Counts

307 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(fma.f64 (neg.f64 x) y (log1p.f64 1))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
▶	51.7%	(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))))
✓	82.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	51.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	49.9%	(*.f64 (neg.f64 x) y)
▶	50.2%	(log.f64 2)
	65.6%	(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
	65.7%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
▶	87.5%	(fma.f64 (neg.f64 x) y (log1p.f64 1))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	82.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
▶	51.7%	(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))))
✓	82.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	51.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	49.9%	(*.f64 (neg.f64 x) y)
▶	50.2%	(log.f64 2)
	65.6%	(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
	65.7%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))

Compiler

Compiled 366 to 300 computations (18% saved)

localize309.0ms (2.4%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 1/8 (pow.f64 x 2))
✓	100.0%	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x 1/2))
	99.8%	(*.f64 -1/192 (pow.f64 x 4))
✓	83.6%	(+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2)))
✓	100.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
	100.0%	(*.f64 x (-.f64 1/2 y))
✓	99.0%	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
✓	90.6%	(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))

Compiler

Compiled 142 to 108 computations (23.9% saved)

series18.0ms (0.1%)

Counts

7 → 53

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
2.0ms	y	@	0	(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
1.0ms	y	@	0	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))

rewrite136.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

995×	`log1p-expm1-u`
630×	`expm1-udef`
628×	`log1p-udef`
286×	`associate-r`
176×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	178
1	392	170
2	5496	170

Stop Event

1×	node limit

Counts

7 → 229

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 x 1/2))
(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
(+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x 1/2))
(*.f64 1/8 (pow.f64 x 2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (log1p.f64 1) (.f64 x 1/2))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (-.f64 (log1p.f64 1) (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log1p.f64 1)))) (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log1p.f64 1) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 1) (.f64 x 1/2)) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log1p.f64 1)))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log1p.f64 1) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log1p.f64 1) (.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (log1p.f64 1) (.f64 x 1/2)))
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(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 8) 1/36864) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2))) (neg.f64 (-.f64 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) 3) (.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2)))) (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2) (.f64 (pow.f64 x 8) 1/36864)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (.f64 -1/192 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) (.f64 x 1/2)))
(pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(exp.f64 (log.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 1 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/36864)) (cbrt.f64 (.f64 -1/192 (pow.f64 x 4))) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (*.f64 -1/192 (pow.f64 x 4)))
(fma.f64 (.f64 (pow.f64 x 2) (sqrt.f64 -1/192)) (.f64 (pow.f64 x 2) (sqrt.f64 -1/192)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (*.f64 -1/192 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x))))
(.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 1)
(.f64 1 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))
(.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2))))) (+.f64 (.f64 (pow.f64 x 6) 1/512) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x)) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) 1/64)) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/8 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 1/8)) (.f64 x (sqrt.f64 1/8)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 2))))

simplify167.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-r`
904×	`fma-neg`
810×	`associate-l`
694×	`log-prod`
564×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	628	14049
1	1593	13152
2	6014	13146

Stop Event

1×	node limit

Counts

282 → 343

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 x 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) x)) (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) x)) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) x)) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 x 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))) (+.f64 (.f64 2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 x 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (pow.f64 x 7) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (cbrt.f64 1/2)))) (.f64 4/27 (.f64 (pow.f64 1 1/9) (pow.f64 x 2)))))))))))))
(log.f64 2)
(log.f64 2)
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (.f64 (pow.f64 1 1/3) x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) x)) (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) x)) (+.f64 (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (.f64 (pow.f64 (.f64 1 x) 1/3) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))))))))
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(/.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 (log1p.f64 1) (.f64 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 (-.f64 1/2 y)) x)))
(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 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (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 (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))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 8) 1/36864) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))))
(.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 1)
(.f64 1 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))))
(.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (cbrt.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 2)) (cbrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) (sqrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 1/36864) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (.f64 -1/192 (pow.f64 x 4)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 8) 1/36864) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2)) (/.f64 1 (-.f64 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 1/36864) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (.f64 -1/192 (pow.f64 x 4))))) (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (-.f64 (.f64 (pow.f64 x 8) 1/36864) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3)) (+.f64 (.f64 (pow.f64 x 8) 1/36864) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (*.f64 -1/192 (pow.f64 x 4))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3)) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2) (-.f64 (.f64 (pow.f64 x 8) 1/36864) (.f64 -1/192 (.f64 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/36864) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2)) (-.f64 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -1/7077888) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 1/36864) (.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (*.f64 -1/192 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 8) 1/36864) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2))) (neg.f64 (-.f64 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) 3) (.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2)))) (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 2) (.f64 (pow.f64 x 8) 1/36864)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (.f64 -1/192 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (fma.f64 -1/192 (pow.f64 x 4) (.f64 1/8 (pow.f64 x 2))) (.f64 x 1/2)))
(pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(exp.f64 (log.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/192 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 1 (.f64 -1/192 (pow.f64 x 4)) (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) (.f64 -1/192 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/36864)) (cbrt.f64 (.f64 -1/192 (pow.f64 x 4))) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (*.f64 -1/192 (pow.f64 x 4)))
(fma.f64 (.f64 (pow.f64 x 2) (sqrt.f64 -1/192)) (.f64 (pow.f64 x 2) (sqrt.f64 -1/192)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (*.f64 -1/192 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 1/64) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x))))
(.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)) 1)
(.f64 1 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2)))
(.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2))))) (+.f64 (.f64 (pow.f64 x 6) 1/512) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x)) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) 1/64)) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2)))
(fma.f64 1 (.f64 1/8 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (.f64 x (sqrt.f64 1/8)) (.f64 x (sqrt.f64 1/8)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 2))))

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 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(.f64 (pow.f64 (.f64 1 x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
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(fma.f64 -1/3 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (cbrt.f64 1/2) (cbrt.f64 x)))
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(.f64 1/2 (.f64 (pow.f64 1 1/3) x))
(*.f64 1/2 x)
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(fma.f64 1/2 x (.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1)))
(fma.f64 1/2 x (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)))) (neg.f64 y)))
(fma.f64 1/2 x (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (.f64 (pow.f64 (pow.f64 x 13) 1/18) (cbrt.f64 (.f64 1/2 (cbrt.f64 1/2))))) (neg.f64 y)))
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(fma.f64 1/2 x (fma.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (.f64 (pow.f64 y 2) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)))))))
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(fma.f64 1/2 x (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) -1)) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 (pow.f64 x 2) 4/27 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (cbrt.f64 1/2)) -2/3))) (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 2/27)))) (.f64 (pow.f64 y 2) (+.f64 (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 x) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))))))) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9))))))
(fma.f64 1/2 x (fma.f64 y (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (.f64 (cbrt.f64 (.f64 1/2 (cbrt.f64 1/2))) -1)) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (cbrt.f64 (/.f64 1 (.f64 1/2 (cbrt.f64 1/2)))))) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 (pow.f64 x 2) 4/27 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (cbrt.f64 1/2)) -2/3))) (.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 2/27)))) (.f64 (pow.f64 y 2) (+.f64 (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 x) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 x 14) 1/18) (.f64 (pow.f64 (pow.f64 x 14) 1/18) (cbrt.f64 (/.f64 1 (.f64 1/2 (cbrt.f64 1/2))))))))) (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9))))))
(log.f64 2)
(log.f64 2)
(log.f64 2)
(+.f64 (log.f64 2) (.f64 1/2 (.f64 (pow.f64 1 1/3) x)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) x)) (.f64 y (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (.f64 -1/3 (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3)))))))
(+.f64 (log.f64 2) (fma.f64 1/2 x (.f64 y (.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1))))
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(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/512 (.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 (pow.f64 x 4) 1/64 (.f64 x (.f64 1/2 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (.f64 (pow.f64 x 6) 1/512)) (fma.f64 x (.f64 1/2 (fma.f64 1/2 x (.f64 (pow.f64 x 2) -1/8))) (.f64 (pow.f64 x 4) 1/64)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x)) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x -1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/64 (.f64 (pow.f64 x 2) -1/4)) (fma.f64 x -1/2 (.f64 (pow.f64 x 2) 1/8)))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 1/512 (.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 (pow.f64 x 4) 1/64 (.f64 x (.f64 1/2 (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (.f64 (pow.f64 x 6) 1/512)) (fma.f64 x (.f64 1/2 (fma.f64 1/2 x (.f64 (pow.f64 x 2) -1/8))) (.f64 (pow.f64 x 4) 1/64)))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (.f64 1/8 (pow.f64 x 3))) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 (*.f64 1/2 x) 1/8) (pow.f64 x 2)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (.f64 (pow.f64 x 6) 1/512)) (-.f64 (fma.f64 (pow.f64 x 2) 1/4 (.f64 (pow.f64 x 4) 1/64)) (.f64 1/2 (.f64 1/8 (pow.f64 x 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (.f64 (pow.f64 x 6) 1/512)) (-.f64 (.f64 (pow.f64 x 4) 1/64) (fma.f64 1/2 (.f64 1/8 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x -1/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/64 (.f64 (pow.f64 x 2) -1/4)) (fma.f64 x -1/2 (.f64 (pow.f64 x 2) 1/8)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/512) (.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/512 (.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/64 (.f64 x (.f64 1/2 (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2))))))))
(.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (.f64 (pow.f64 x 6) 1/512)) (fma.f64 x (.f64 1/2 (fma.f64 1/2 x (.f64 (pow.f64 x 2) -1/8))) (*.f64 (pow.f64 x 4) 1/64))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (.f64 (pow.f64 x 6) -1/512)) (fma.f64 (.f64 x -1/2) (fma.f64 1/2 x (.f64 (pow.f64 x 2) -1/8)) (.f64 (pow.f64 x 4) -1/64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/2 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x -1/2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (.f64 (pow.f64 x 4) -1/64)) (fma.f64 1/2 x (.f64 (pow.f64 x 2) -1/8)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) 1/64)) (-.f64 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x -1/2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/4 (.f64 (pow.f64 x 4) -1/64)) (fma.f64 1/2 x (.f64 (pow.f64 x 2) -1/8)))
(pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 1)
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3)
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) 1/3)
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2)
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(exp.f64 (.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (.f64 x 1/2))) 1))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 1 (.f64 x 1/2) (.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 1 (.f64 1/8 (pow.f64 x 2)) (.f64 x 1/2))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/8)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/8))
(fma.f64 (.f64 x (sqrt.f64 1/8)) (.f64 x (sqrt.f64 1/8)) (*.f64 x 1/2))
(+.f64 (pow.f64 (.f64 x (sqrt.f64 1/8)) 2) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (pow.f64 (.f64 x (sqrt.f64 1/8)) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2)))) 1)
(*.f64 (pow.f64 x 2) 1/8)
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) 1/8)
(pow.f64 (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) 3)
(*.f64 (pow.f64 x 2) 1/8)
(pow.f64 (*.f64 (pow.f64 x 6) 1/512) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 1/8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) 1/8)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) 1/8)
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) 1/8)
(exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 x 2))) 1))
(*.f64 (pow.f64 x 2) 1/8)
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) 1/8)

eval269.0ms (2%)

Compiler: Compiled 10780 to 9150 computations (15.1% saved)

prune82.0ms (0.6%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	374	8	382
Fresh	2	0	2
Picked	0	5	5
Done	0	4	4
Total	376	17	393

Accuracy

98.9%

Counts

393 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(fma.f64 (neg.f64 x) y (log1p.f64 1))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	81.6%	(+.f64 (log.f64 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3))
	65.7%	(+.f64 (log.f64 2) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))) 3))
✓	82.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
	51.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
✓	51.7%	(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))))
▶	82.1%	(+.f64 (log.f64 2) (.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y))))
▶	60.0%	(+.f64 (log.f64 2) (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))))
✓	82.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	51.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	49.9%	(*.f64 (neg.f64 x) y)
▶	3.6%	(*.f64 1/2 x)
✓	50.2%	(log.f64 2)
▶	49.9%	(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
	49.9%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
✓	87.5%	(fma.f64 (neg.f64 x) y (log1p.f64 1))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	81.6%	(+.f64 (log.f64 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3))
	65.7%	(+.f64 (log.f64 2) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))) 3))
✓	82.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
	51.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
✓	51.7%	(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))))
▶	82.1%	(+.f64 (log.f64 2) (.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y))))
▶	60.0%	(+.f64 (log.f64 2) (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))))
✓	82.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	51.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	49.9%	(*.f64 (neg.f64 x) y)
▶	3.6%	(*.f64 1/2 x)
✓	50.2%	(log.f64 2)
▶	49.9%	(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
	49.9%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))

Compiler

Compiled 568 to 478 computations (15.8% saved)

localize310.0ms (2.4%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
	99.5%	(cbrt.f64 (*.f64 x (-.f64 1/2 y)))
✓	99.4%	(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
✓	99.4%	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3)
✓	99.4%	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3)
✓	100.0%	(fma.f64 x 1/2 (log1p.f64 1))
✓	100.0%	(log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))
✓	99.9%	(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
✓	100.0%	(+.f64 (log.f64 2) (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))))
✓	100.0%	(sqrt.f64 (-.f64 1/2 y))
✓	99.7%	(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
✓	99.6%	(.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
✓	99.9%	(cbrt.f64 (-.f64 1/2 y))
✓	99.8%	(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
✓	99.7%	(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
✓	99.3%	(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)

Compiler

Compiled 193 to 147 computations (23.8% saved)

series98.0ms (0.7%)

Counts

14 → 212

Calls

66 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3)
8.0ms	y	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3)
7.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3)
6.0ms	y	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3)
5.0ms	y	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3)

rewrite154.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`log1p-expm1-u`
808×	`expm1-log1p-u`
520×	`expm1-udef`
520×	`log1p-udef`
318×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	288
1	428	284
2	4413	284

Stop Event

1×	node limit

Counts

14 → 367

Calls

Call 1

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

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

simplify241.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1592×	`fma-def`
958×	`distribute-rgt-in`
942×	`distribute-lft-in`
902×	`associate-+r+`
624×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1120	34112
1	3104	30697

Stop Event

1×	node limit

Counts

579 → 587

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 1/2) 2)
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) y)) (pow.f64 (cbrt.f64 1/2) 2))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) y)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 (cbrt.f64 1/2) 2)))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) y)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 4/27 (pow.f64 1 1/3)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (pow.f64 (cbrt.f64 1/2) 2))))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 1/4))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 x y))) (.f64 x (cbrt.f64 1/4)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 x y))) (+.f64 (.f64 1/3 (/.f64 (.f64 x (.f64 (pow.f64 y 2) (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 x (cbrt.f64 1/4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 x y))) (+.f64 (.f64 1/3 (/.f64 (.f64 x (.f64 (pow.f64 y 2) (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 x (.f64 (pow.f64 y 3) (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3)))))))) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 x (cbrt.f64 1/4)))))
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)))
(+.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2)))))
(+.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2))))))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 x y) (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 x y) (sqrt.f64 1/2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 x (pow.f64 y 2)) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 x (sqrt.f64 1/2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 x y) (sqrt.f64 1/2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 x (pow.f64 y 2)) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 x (pow.f64 y 3)) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 x (sqrt.f64 1/2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 y (sqrt.f64 1/2))) (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 y (sqrt.f64 1/2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)) (.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 x 3)))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -2 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)) (.f64 8/3 (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 x 3)))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))) 3)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 1 x)))))) 3)
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 (cbrt.f64 -1) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1/2 y)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 3)))
(.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))
(+.f64 (.f64 y (+.f64 (.f64 -4/9 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (.f64 -2/9 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))))) (.f64 (pow.f64 1/8 1/9) (pow.f64 (*.f64 1 x) 1/3)))
(+.f64 (.f64 y (+.f64 (.f64 -4/9 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (.f64 -2/9 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))))) (+.f64 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3)) (.f64 (pow.f64 y 2) (+.f64 (.f64 -16/81 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 8/81 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (.f64 (pow.f64 (.f64 1/2 x) 1/9) (+.f64 (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)))))))))
(+.f64 (.f64 y (+.f64 (.f64 -4/9 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (.f64 -2/9 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))))) (+.f64 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -16/81 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 8/81 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (.f64 (pow.f64 (.f64 1/2 x) 1/9) (+.f64 (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))))))) (.f64 (pow.f64 y 3) (+.f64 (.f64 -544/2187 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (.f64 1/2 x) 1/9) (+.f64 (.f64 -32/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 4/81 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9))))) (+.f64 (.f64 64/729 (.f64 (pow.f64 1/8 1/9) (pow.f64 (.f64 1 x) 1/3))) (.f64 (pow.f64 (.f64 1/2 x) 1/9) (+.f64 (.f64 -1088/2187 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)) (.f64 64/729 (pow.f64 (.f64 1/4 (pow.f64 x 2)) 1/9)))))))))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 3)
(+.f64 (.f64 -1/9 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))))) 3) y)) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 3)))
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(.f64 (.f64 (cbrt.f64 (-.f64 1/2 y)) (cbrt.f64 (.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 4)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) x)))
(.f64 (.f64 (cbrt.f64 (-.f64 1/2 y)) (.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x))) (.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)))
(.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) x) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(.f64 (.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) x) (pow.f64 (-.f64 1/2 y) 1/6)) (pow.f64 (-.f64 1/2 y) 1/6))
(.f64 (.f64 (sqrt.f64 (-.f64 1/2 y)) (cbrt.f64 (.f64 (-.f64 1/2 y) (pow.f64 x 2)))) (cbrt.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(.f64 (.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))))) (sqrt.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(.f64 (.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (cbrt.f64 (-.f64 1/2 y))) (pow.f64 (-.f64 1/2 y) 1/6))
(.f64 (.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (pow.f64 (-.f64 1/2 y) 1/4)) (pow.f64 (-.f64 1/2 y) 1/4))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) 1) (cbrt.f64 (.f64 (-.f64 1/2 y) x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 x)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)) 2) (pow.f64 (.f64 (-.f64 1/2 y) x) 1/6)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 1/2 y) x)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 9))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) 1)
(.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 1/6)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1/9)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))

Outputs
(pow.f64 (cbrt.f64 1/2) 2)
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) y)) (pow.f64 (cbrt.f64 1/2) 2))
(fma.f64 -2/3 (*.f64 (cbrt.f64 (cbrt.f64 1/2)) y) (pow.f64 (cbrt.f64 1/2) 2))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) y)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 (cbrt.f64 1/2) 2)))
(fma.f64 -2/3 (.f64 (cbrt.f64 (cbrt.f64 1/2)) y) (fma.f64 (pow.f64 y 2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9) (pow.f64 (cbrt.f64 1/2) 2)))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 1/2)) 1/3) y)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 4/27 (pow.f64 1 1/3)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (pow.f64 (cbrt.f64 1/2) 2))))
(fma.f64 -2/3 (.f64 (cbrt.f64 (cbrt.f64 1/2)) y) (fma.f64 (pow.f64 y 2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9) (fma.f64 (pow.f64 y 3) (+.f64 4/27 (.f64 2/3 (/.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 2/9)) (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 1/2) 2))))
(fma.f64 -2/3 (.f64 (cbrt.f64 (cbrt.f64 1/2)) y) (fma.f64 (pow.f64 y 2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9) (fma.f64 (pow.f64 y 3) (fma.f64 2/3 (/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/27) (cbrt.f64 1/2)) 4/27) (pow.f64 (cbrt.f64 1/2) 2))))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(*.f64 x (cbrt.f64 1/4))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 x y))) (.f64 x (cbrt.f64 1/4)))
(fma.f64 -1/3 (.f64 (.f64 y x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (*.f64 x (cbrt.f64 1/4)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 x y))) (+.f64 (.f64 1/3 (/.f64 (.f64 x (.f64 (pow.f64 y 2) (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 x (cbrt.f64 1/4))))
(fma.f64 -1/3 (.f64 (.f64 y x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (pow.f64 y 2) (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4)))))))) (*.f64 x (cbrt.f64 1/4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 x y))) (+.f64 (.f64 1/3 (/.f64 (.f64 x (.f64 (pow.f64 y 2) (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 x (.f64 (pow.f64 y 3) (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3)))))))) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 x (cbrt.f64 1/4)))))
(fma.f64 -1/3 (.f64 (.f64 y x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (pow.f64 y 2) (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4)))))))) (fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (pow.f64 y 3) (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2)) (.f64 -2/3 (.f64 (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5))))))))) (*.f64 x (cbrt.f64 1/4)))))
(fma.f64 -1/3 (.f64 (.f64 y x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (pow.f64 y 2) (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4)))))))) (fma.f64 1/3 (/.f64 (.f64 (.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2)) (.f64 2/3 (.f64 (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5))))))) (pow.f64 (cbrt.f64 1/4) 2)) (.f64 x (cbrt.f64 1/4)))))
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)))
(+.f64 (cbrt.f64 1/2) (.f64 -1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))
(fma.f64 -1/3 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))
(+.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2)))))
(+.f64 (cbrt.f64 1/2) (fma.f64 -1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 -1/9 (*.f64 (pow.f64 y 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))))
(+.f64 (fma.f64 -1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (.f64 (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (pow.f64 y 2)))
(+.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2))))))
(+.f64 (cbrt.f64 1/2) (fma.f64 -1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 -1/9 (.f64 (pow.f64 y 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 y 3) (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 2/9))) (pow.f64 (cbrt.f64 1/2) 2))))))
(+.f64 (fma.f64 -1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/27))) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (pow.f64 y 2))))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
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(.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 1/2 y) x) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 1/3))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6)) 2)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1/9)
(pow.f64 (exp.f64 1/9) (log.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1/3)
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3)
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 1/6)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x))) 1/3))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 1/2 y) x)))) 1))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))

eval4.4s (33.7%)

Compiler: Compiled 27843 to 22481 computations (19.3% saved)

prune189.0ms (1.4%)

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	685	9	694
Fresh	1	2	3
Picked	3	2	5
Done	0	9	9
Total	689	22	711

Accuracy

98.9%

Counts

711 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.5%	(fma.f64 (neg.f64 x) y (log1p.f64 1))
✓	98.5%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	87.5%	(-.f64 (log.f64 2) (*.f64 x y))
	36.4%	(+.f64 (log.f64 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3))
	8.6%	(+.f64 (log.f64 2) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) (*.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) y))) 3) 3))
	36.4%	(+.f64 (log.f64 2) (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 (*.f64 x (-.f64 1/2 y)))) 9))
	65.7%	(+.f64 (log.f64 2) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
✓	82.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
	51.0%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
	81.6%	(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 9))
	54.5%	(+.f64 (log.f64 2) (/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x)))
✓	51.7%	(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x 1/2))))
	15.4%	(+.f64 (log.f64 2) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 6) (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 3))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 6) (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 3))))) y)) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 9)))
	45.8%	(+.f64 (log.f64 2) (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 1/2)))
✓	82.5%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	51.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	49.9%	(*.f64 (neg.f64 x) y)
✓	3.6%	(*.f64 1/2 x)
✓	50.2%	(log.f64 2)
	1.3%	(expm1.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)))))
✓	49.9%	(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
	49.9%	(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))

Compiler

Compiled 863 to 707 computations (18.1% saved)

regimes64.0ms (0.5%)

Counts

31 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 (neg.f64 x) y)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (neg.f64 x) y (log1p.f64 1))
(-.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 (log.f64 2) (/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x)))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3))
(+.f64 (log.f64 2) (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 1/2)))
(+.f64 (log.f64 2) (.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.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 1/2))))
(+.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)))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
(+.f64 (log.f64 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 9))
(+.f64 (log.f64 2) (.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y))))
(expm1.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 (+.f64 1 (log.f64 2)) x)))))
(+.f64 (log.f64 2) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))))) 3))
(+.f64 (log.f64 2) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(+.f64 (log.f64 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3))
(+.f64 (log.f64 2) (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 (*.f64 x (-.f64 1/2 y)))) 9))
(+.f64 (log.f64 2) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (log.f64 (*.f64 x (-.f64 1/2 y)))) 3) 3))
(+.f64 (log.f64 2) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) (*.f64 -1/18 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) y))) 3) 3))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 6) (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 3))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 6) (+.f64 (.f64 1/18 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 3)) (.f64 1/9 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 3))))) y)) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))))) 9)))

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

Calls

3 calls:

26.0ms	y
17.0ms	x
10.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 483 to 386 computations (20.1% saved)

regimes18.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
97.8%	2	`x`
87.5%	1	`y`

Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes11.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 (neg.f64 x) y)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.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
97.1%	2	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes46.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	y
21.0ms	x

Results

Accuracy	Segments	Branch
74.2%	5	`y`
83.1%	2	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes12.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
82.5%	2	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes13.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
49.9%	1	`y`
49.9%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (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:

12.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-48.92334344655934	-0.009832488211412041

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 160 to 124 computations (22.5% saved)

bsearch49.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-2361710602390119.0	-70260699.69146207

Results

21.0ms	34×	body	1024	valid
20.0ms	92×	body	256	valid
3.0ms	11×	body	512	valid
3.0ms	3×	body	2048	valid
1.0ms	4×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-0.009832488211412041	-0.0008967623348498754

Results

13.0ms

96×

body

256

valid

Compiler

Compiled 112 to 90 computations (19.6% saved)

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-6.051466817868286e-10	-1.6272736373295787e-18

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 124 to 102 computations (17.7% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	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 -72000000) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4150517416584649/4611686018427387904) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -870426590122533/2417851639229258349412352) (*.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 -72000000) (.f64 (neg.f64 x) y) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -72000000) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -72000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -4150517416584649/4611686018427387904) (.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -4150517416584649/4611686018427387904) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -4150517416584649/4611686018427387904) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -870426590122533/2417851639229258349412352) (*.f64 (neg.f64 x) y) (log.f64 2))
(if (<=.f64 x -870426590122533/2417851639229258349412352) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -870426590122533/2417851639229258349412352) (*.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)

soundness567.0ms (4.3%)

Rules

1648×	`times-frac`
1570×	`fma-neg`
1540×	`times-frac`
1466×	`fma-neg`
1328×	`fma-def`

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	447	15523
1	1071	14555
2	4498	14555
0	496	8098
1	1202	7872
2	3635	7860

Stop Event

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

end0.0ms (0%)

preprocess108.0ms (0.8%)

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

analyze73.0ms (0.6%)

sample3.2s (24.3%)

preprocess678.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (0.3%)

series50.0ms (0.4%)

rewrite170.0ms (1.3%)

simplify122.0ms (0.9%)

eval60.0ms (0.5%)

prune41.0ms (0.3%)

localize214.0ms (1.6%)

series14.0ms (0.1%)

rewrite140.0ms (1.1%)

simplify156.0ms (1.2%)

eval659.0ms (5%)

prune138.0ms (1%)

localize309.0ms (2.4%)

series18.0ms (0.1%)

rewrite136.0ms (1%)

simplify167.0ms (1.3%)

eval269.0ms (2%)

prune82.0ms (0.6%)

localize310.0ms (2.4%)

series98.0ms (0.7%)

rewrite154.0ms (1.2%)

simplify241.0ms (1.8%)

eval4.4s (33.7%)

prune189.0ms (1.4%)

regimes64.0ms (0.5%)

regimes18.0ms (0.1%)

regimes11.0ms (0.1%)

regimes46.0ms (0.4%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch49.0ms (0.4%)

bsearch15.0ms (0.1%)

bsearch23.0ms (0.2%)

simplify19.0ms (0.1%)

soundness567.0ms (4.3%)

end0.0ms (0%)

preprocess108.0ms (0.8%)

Profiling