Metrics for Logistic regression 2

analyze169.0ms (1.6%)

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)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

Operation ival-log, time spent: 35.0ms, 48.0% of total-time

Operation ival-add, time spent: 11.0ms, 15.0% of total-time

Operation ival-mult, time spent: 9.0ms, 12.0% of total-time

Operation ival-exp, time spent: 9.0ms, 12.0% of total-time

Operation ival-sub, time spent: 7.0ms, 10.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

sample5.0s (48.8%)

Results

2.6s	2680×	body	5	exit
2.0s	7096×	body	0	valid
187.0ms	734×	body	0	infinite
157.0ms	426×	body	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

Operation ival-log, time spent: 887.0ms, 32.0% of total-time

Operation ival-add, time spent: 634.0ms, 23.0% of total-time

Operation ival-sub, time spent: 548.0ms, 20.0% of total-time

Operation ival-mult, time spent: 300.0ms, 11.0% of total-time

Operation ival-exp, time spent: 267.0ms, 10.0% of total-time

Operation const, time spent: 96.0ms, 4.0% of total-time

Bogosity

preprocess251.0ms (2.4%)

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	73	226
2	129	210
3	286	210
4	468	210
5	769	210
6	1322	210
7	2788	210
8	5719	210
9	7847	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))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(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)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

Operation ival-log, time spent: 21.0ms, 37.0% of total-time

Operation ival-add, time spent: 20.0ms, 35.0% of total-time

Operation ival-sub, time spent: 6.0ms, 10.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

Operation ival-mult, time spent: 3.0ms, 5.0% of total-time

Operation ival-exp, time spent: 3.0ms, 5.0% of total-time

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize47.0ms (0.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-log1p, time spent: 6.0ms, 35.0% of total-time

Operation ival-sub, time spent: 5.0ms, 29.0% of total-time

Operation ival-mult, time spent: 3.0ms, 17.0% of total-time

Operation ival-exp, time spent: 3.0ms, 17.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

series47.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
26.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
19.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite267.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`expm1-udef`
686×	`log1p-udef`
555×	`log1p-expm1-u`
526×	`associate-r`
434×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	61	12
2	599	12
3	6437	12

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))

Outputs
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (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 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.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 (E.f64)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(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)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(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 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1112×	`fma-def`
674×	`associate-+l-`
606×	`associate-+r-`
584×	`times-frac`
558×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1477
1	348	1430
2	1002	1409
3	4155	1333

Stop Event

1×	node limit

Counts

61 → 82

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)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (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 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.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 (E.f64)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(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)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(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 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.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 (.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))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 2) (log.f64 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 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))))
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 2) (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))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.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 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (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 (neg.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (E.f64)))
(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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (cbrt.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 (log1p.f64 (exp.f64 x)) 1/6) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 5))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) 3))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.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 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.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 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) 3))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 5))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(log1p.f64 (exp.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) (+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1))
(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))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))

eval20.0ms (0.2%)

Compiler: Compiled 1314 to 593 computations (54.9% saved)

prune15.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Accuracy

99.7%

Counts

83 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.5%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	80.5%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.5%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 58 to 42 computations (27.6% saved)

localize140.0ms (1.4%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 45 to 27 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

Operation ival-log, time spent: 35.0ms, 50.0% of total-time

Operation ival-add, time spent: 11.0ms, 16.0% of total-time

Operation ival-mult, time spent: 10.0ms, 14.0% of total-time

Operation ival-sub, time spent: 9.0ms, 13.0% of total-time

Operation const, time spent: 5.0ms, 7.0% of total-time

series6.0ms (0.1%)

Counts

2 → 27

Calls

9 calls:

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

rewrite131.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`fma-def`
952×	`log1p-expm1-u`
952×	`expm1-log1p-u`
904×	`log-prod`
370×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	173	45
2	2612	41

Stop Event

1×	node limit

Counts

2 → 182

Calls

Call 1

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

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

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1262×	`distribute-lft-in`
878×	`unswap-sqr`
792×	`times-frac`
768×	`cancel-sign-sub-inv`
680×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	7218
1	879	6904
2	2825	6900

Stop Event

1×	node limit

Counts

209 → 212

Calls

Call 1

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

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

eval76.0ms (0.7%)

Compiler: Compiled 3769 to 2493 computations (33.9% saved)

prune113.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	207	5	212
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	207	8	215

Accuracy

99.7%

Counts

215 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.5%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	80.5%	(+.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
▶	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	31.2%	(*.f64 x (-.f64 1/2 y))
▶	48.8%	(neg.f64 (*.f64 x y))
▶	62.0%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
✓	80.5%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	80.5%	(+.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
▶	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
▶	31.2%	(*.f64 x (-.f64 1/2 y))
▶	48.8%	(neg.f64 (*.f64 x y))
▶	62.0%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))

Compiler

Compiled 226 to 174 computations (23% saved)

localize330.0ms (3.2%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (-.f64 1/2 y) (log1p.f64 1))
✓	99.1%	(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1))))
✓	98.4%	(log.f64 (fma.f64 x (-.f64 1/2 y) (log1p.f64 1)))
	100.0%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
✓	100.0%	(*.f64 x (-.f64 1/2 y))

Compiler

Compiled 92 to 61 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

Operation ival-sub, time spent: 77.0ms, 39.0% of total-time

Operation ival-log1p, time spent: 41.0ms, 21.0% of total-time

Operation ival-log, time spent: 26.0ms, 13.0% of total-time

Operation ival-mult, time spent: 15.0ms, 8.0% of total-time

Operation ival-fma, time spent: 12.0ms, 6.0% of total-time

Operation const, time spent: 10.0ms, 5.0% of total-time

Operation ival-add, time spent: 9.0ms, 5.0% of total-time

Operation ival-exp, time spent: 3.0ms, 2.0% of total-time

Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

series13.0ms (0.1%)

Counts

6 → 120

Calls

36 calls:

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

rewrite128.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`prod-diff`
844×	`log1p-expm1-u`
844×	`expm1-log1p-u`
790×	`log-prod`
616×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	142
1	185	142
2	2251	142

Stop Event

1×	node limit

Counts

6 → 221

Calls

Call 1

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

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

simplify156.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1302×	`unswap-sqr`
1076×	`associate-+r+`
510×	`fma-neg`
480×	`cancel-sign-sub-inv`
452×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	12947
1	850	12501
2	3151	12311

Stop Event

1×	node limit

Counts

341 → 216

Calls

Call 1

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

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

eval131.0ms (1.3%)

Compiler: Compiled 5591 to 4450 computations (20.4% saved)

prune60.0ms (0.6%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	301	4	305
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	302	11	313

Accuracy

99.7%

Counts

313 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.5%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	80.5%	(+.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
✓	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	31.2%	(*.f64 x (-.f64 1/2 y))
▶	3.7%	(*.f64 1/2 x)
✓	48.8%	(neg.f64 (*.f64 x y))
▶	51.7%	(log.f64 2)
▶	12.1%	(exp.f64 (+.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y)))))
▶	50.7%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
✓	80.5%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	80.5%	(+.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
✓	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	31.2%	(*.f64 x (-.f64 1/2 y))
▶	3.7%	(*.f64 1/2 x)
✓	48.8%	(neg.f64 (*.f64 x y))
▶	51.7%	(log.f64 2)
▶	12.1%	(exp.f64 (+.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y)))))
▶	50.7%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))

Compiler

Compiled 194 to 152 computations (21.6% saved)

localize384.0ms (3.7%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y))))
✓	99.9%	(/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))
✓	99.9%	(/.f64 (log.f64 2) x)
✓	99.5%	(exp.f64 (+.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	100.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	100.0%	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
✓	100.0%	(log.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))

Compiler

Compiled 103 to 78 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

Operation ival-log, time spent: 95.0ms, 41.0% of total-time

Operation ival-sub, time spent: 48.0ms, 21.0% of total-time

Operation ival-mult, time spent: 26.0ms, 11.0% of total-time

Operation ival-add, time spent: 26.0ms, 11.0% of total-time

Operation ival-div, time spent: 19.0ms, 8.0% of total-time

Operation const, time spent: 11.0ms, 5.0% of total-time

Operation ival-exp, time spent: 6.0ms, 3.0% of total-time

series53.0ms (0.5%)

Counts

7 → 108

Calls

30 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	(+.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y))))
8.0ms	x	@	0	(/.f64 (log.f64 2) x)
6.0ms	x	@	inf	(/.f64 (log.f64 2) x)
4.0ms	x	@	-inf	(exp.f64 (+.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y)))))
3.0ms	x	@	-inf	(+.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y))))

rewrite184.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1129×	`log1p-expm1-u`
550×	`expm1-udef`
548×	`log1p-udef`
482×	`expm1-log1p-u`
226×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	209
1	314	209
2	4567	209

Stop Event

1×	node limit

Counts

7 → 246

Calls

Call 1

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

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

simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1120×	`fma-def`
984×	`associate-r`
946×	`associate-l`
494×	`times-frac`
452×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	738	19060
1	2049	17498

Stop Event

1×	node limit

Counts

354 → 428

Calls

Call 1

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

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

eval1.2s (11.7%)

Compiler: Compiled 11399 to 9075 computations (20.4% saved)

prune92.0ms (0.9%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	424	4	428
Fresh	0	0	0
Picked	2	2	4
Done	0	7	7
Total	426	13	439

Accuracy

99.7%

Counts

439 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.5%	(-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 x y))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	80.5%	(+.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))
✓	52.1%	(+.f64 (log.f64 2) (*.f64 1/2 x))
✓	31.2%	(*.f64 x (-.f64 1/2 y))
	31.2%	(.f64 x (.f64 (-.f64 1/2 y) (pow.f64 2 (/.f64 1 (*.f64 x (-.f64 1/2 y))))))
✓	3.7%	(*.f64 1/2 x)
✓	48.8%	(neg.f64 (*.f64 x y))
✓	51.7%	(log.f64 2)
	11.7%	(exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))))
	12.8%	(exp.f64 (log.f64 (.f64 (.f64 x (-.f64 1/2 y)) (exp.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y))))))
	11.8%	(exp.f64 (expm1.f64 (log1p.f64 (+.f64 (/.f64 (/.f64 (log.f64 2) x) (-.f64 1/2 y)) (log.f64 (*.f64 x (-.f64 1/2 y)))))))

Compiler

Compiled 324 to 241 computations (25.6% saved)

regimes77.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	y
10.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

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

Compiler

Compiled 188 to 134 computations (28.7% saved)

regimes23.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
98.5%	2	`x`
90.5%	1	`y`

Compiler

Compiled 67 to 46 computations (31.3% saved)

regimes12.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(neg.f64 (*.f64 x y))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log1p.f64 1))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.5%	2	`x`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes12.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`x`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes60.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
72.2%	7	`y`
88.1%	3	`x`

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes10.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
48.8%	1	`y`
48.8%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-10.739053562585774	-6.06530084931763

Results

13.0ms

64×

body

valid

Compiler

Compiled 96 to 72 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-log, time spent: 2.0ms, 33.0% of total-time

Operation ival-sub, time spent: 1.0ms, 17.0% of total-time

Operation ival-mult, time spent: 1.0ms, 17.0% of total-time

Operation ival-add, time spent: 1.0ms, 17.0% of total-time

Operation ival-exp, time spent: 1.0ms, 17.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-10.739053562585774	-6.06530084931763

Results

14.0ms

64×

body

valid

Compiler

Compiled 88 to 68 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-log, time spent: 2.0ms, 33.0% of total-time

Operation ival-sub, time spent: 1.0ms, 17.0% of total-time

Operation ival-mult, time spent: 1.0ms, 17.0% of total-time

Operation ival-add, time spent: 1.0ms, 17.0% of total-time

Operation ival-exp, time spent: 1.0ms, 17.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-6212.777418588082	-47.57614978855444

Results

21.0ms	98×	body	0	valid
7.0ms	14×	body	1	valid

Compiler

Compiled 128 to 96 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-log, time spent: 5.0ms, 33.0% of total-time

Operation ival-add, time spent: 4.0ms, 26.0% of total-time

Operation ival-sub, time spent: 2.0ms, 13.0% of total-time

Operation ival-exp, time spent: 2.0ms, 13.0% of total-time

Operation ival-mult, time spent: 1.0ms, 7.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch63.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.9724204307320503e-32	1.6471074936237856e-30
36.0ms	-6.06530084931763	-2.3857217163906504e-17

Results

58.0ms

272×

body

valid

Compiler

Compiled 227 to 189 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-log, time spent: 9.0ms, 34.0% of total-time

Operation ival-sub, time spent: 5.0ms, 19.0% of total-time

Operation ival-add, time spent: 5.0ms, 19.0% of total-time

Operation ival-exp, time spent: 4.0ms, 15.0% of total-time

Operation ival-mult, time spent: 3.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	299
1	65	299
2	81	299
3	86	299
4	88	299

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -6980579422424269/1125899906842624) (neg.f64 (.f64 x y)) (-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -6980579422424269/1125899906842624) (neg.f64 (.f64 x y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log1p.f64 1)))
(if (<=.f64 x -116) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8500259669165361/4722366482869645213696) (neg.f64 (.f64 x y)) (if (<=.f64 x 8220946709986329/91343852333181432387730302044767688728495783936) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(neg.f64 (*.f64 x y))
(*.f64 1/2 x)

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -6980579422424269/1125899906842624) (neg.f64 (.f64 x y)) (-.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -6980579422424269/1125899906842624) (.f64 x (neg.f64 y)) (-.f64 (+.f64 (log.f64 2) (.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 x -6980579422424269/1125899906842624) (neg.f64 (.f64 x y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log1p.f64 1)))
(if (<=.f64 x -6980579422424269/1125899906842624) (.f64 x (neg.f64 y)) (+.f64 (.f64 x (-.f64 1/2 y)) (log1p.f64 1)))
(if (<=.f64 x -116) (neg.f64 (.f64 x y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -116) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -8500259669165361/4722366482869645213696) (neg.f64 (.f64 x y)) (if (<=.f64 x 8220946709986329/91343852333181432387730302044767688728495783936) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8500259669165361/4722366482869645213696) (.f64 x (neg.f64 y)) (if (<=.f64 x 8220946709986329/91343852333181432387730302044767688728495783936) (log.f64 2) (.f64 x (-.f64 1/2 y))))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 95 to 67 computations (29.5% saved)

soundness495.0ms (4.8%)

Rules

1540×	`times-frac`
1328×	`fma-def`
1262×	`distribute-lft-in`
1228×	`fma-def`
952×	`log1p-expm1-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	286	210
4	468	210
5	769	210
6	1322	210
7	2788	210
8	5719	210
9	7847	210
0	372	7218
1	879	6904
2	2825	6900
0	15	58
1	173	45
2	2612	41

Stop Event

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

Compiler

Compiled 97 to 63 computations (35.1% saved)

end0.0ms (0%)

preprocess92.0ms (0.9%)

Compiler: Compiled 244 to 146 computations (40.2% saved)

analyze169.0ms (1.6%)

sample5.0s (48.8%)

preprocess251.0ms (2.4%)

eval0.0ms (0%)

prune2.0ms (0%)

localize47.0ms (0.5%)

series47.0ms (0.5%)

rewrite267.0ms (2.6%)

simplify62.0ms (0.6%)

eval20.0ms (0.2%)

prune15.0ms (0.1%)

localize140.0ms (1.4%)

series6.0ms (0.1%)

rewrite131.0ms (1.3%)

simplify114.0ms (1.1%)

eval76.0ms (0.7%)

prune113.0ms (1.1%)

localize330.0ms (3.2%)

series13.0ms (0.1%)

rewrite128.0ms (1.2%)

simplify156.0ms (1.5%)

eval131.0ms (1.3%)

prune60.0ms (0.6%)

localize384.0ms (3.7%)

series53.0ms (0.5%)

rewrite184.0ms (1.8%)

simplify153.0ms (1.5%)

eval1.2s (11.7%)

prune92.0ms (0.9%)

regimes77.0ms (0.8%)

regimes23.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes60.0ms (0.6%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch32.0ms (0.3%)

bsearch63.0ms (0.6%)

simplify8.0ms (0.1%)

soundness495.0ms (4.8%)

end0.0ms (0%)

preprocess92.0ms (0.9%)

Profiling