Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (29.3%)

Results

984.0ms	7227×	body	256	valid
114.0ms	1028×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess230.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

2916×	`fma-def`
416×	`distribute-rgt-in`
302×	`sub-neg`
280×	`unsub-neg`
262×	`cancel-sign-sub`

Problems

256×

No Errors

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	375
2	274	371
3	801	323
4	1689	297
5	2820	297
6	3289	292
7	3453	292
8	3561	292
9	3594	292
10	3602	276
11	4160	276
12	4160	276
13	4160	276

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

eval1.0ms (0%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize62.0ms (1.6%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 47 to 22 computations (53.2% saved)

series8.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 x (-.f64 -1/2 y))
1.0ms	y	@	0	(*.f64 x (-.f64 -1/2 y))
1.0ms	x	@	inf	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
1.0ms	x	@	0	(*.f64 x (-.f64 -1/2 y))
1.0ms	x	@	inf	(*.f64 x (-.f64 -1/2 y))

rewrite139.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`fma-def`
838×	`log1p-expm1-u`
838×	`expm1-log1p-u`
498×	`fma-neg`
412×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	234	47
2	3466	43

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

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

simplify84.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1864×	`fma-def`
1210×	`distribute-lft-in`
1198×	`distribute-rgt-in`
760×	`unswap-sqr`
424×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	6491
1	746	6291
2	2245	6188

Stop Event

1×	node limit

Counts

168 → 148

Calls

Call 1

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

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

eval43.0ms (1.1%)

Compiler: Compiled 2399 to 1271 computations (47% saved)

prune41.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	141	7	148
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	143	7	150

Accuracy

100.0%

Counts

150 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
▶	76.1%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	66.7%	(-.f64 z (*.f64 x -1/2))
	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
▶	59.0%	(*.f64 x (+.f64 1/2 y))
▶	35.6%	(*.f64 x y)
	43.5%	z
▶	100.0%	(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
▶	76.1%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	66.7%	(-.f64 z (*.f64 x -1/2))
	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
▶	59.0%	(*.f64 x (+.f64 1/2 y))
▶	35.6%	(*.f64 x y)
	43.5%	z

Compiler

Compiled 216 to 150 computations (30.6% saved)

localize77.0ms (2%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 66 to 30 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`unpow-prod-down`
525×	`log1p-expm1-u`
525×	`expm1-log1p-u`
500×	`log-prod`
450×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	106	19
2	1428	19

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

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

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1310×	`associate-/r*`
1114×	`fma-def`
566×	`fma-neg`
472×	`cancel-sign-sub-inv`
422×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1525
1	374	1474
2	1024	1461
3	4181	1459

Stop Event

1×	node limit

Counts

65 → 67

Calls

Call 1

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

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

eval16.0ms (0.4%)

Compiler: Compiled 776 to 482 computations (37.9% saved)

prune22.0ms (0.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	66	8	74

Accuracy

100.0%

Counts

74 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(fma.f64 y x (*.f64 x 1/2))
✓	76.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.7%	(-.f64 z (*.f64 x -1/2))
▶	59.0%	(+.f64 (.f64 x y) (.f64 x 1/2))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	35.6%	(*.f64 x y)
▶	25.3%	(*.f64 1/2 x)
	43.5%	z
▶	59.0%	(fma.f64 y x (*.f64 x 1/2))
✓	76.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.7%	(-.f64 z (*.f64 x -1/2))
▶	59.0%	(+.f64 (.f64 x y) (.f64 x 1/2))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	35.6%	(*.f64 x y)
▶	25.3%	(*.f64 1/2 x)
	43.5%	z

Compiler

Compiled 120 to 86 computations (28.3% saved)

localize48.0ms (1.3%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`unpow-prod-down`
726×	`fma-def`
636×	`log-prod`
601×	`log1p-expm1-u`
601×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	121	19
2	1639	19

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 x 1/2))

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

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1536×	`times-frac`
1106×	`fma-neg`
686×	`log-prod`
610×	`unswap-sqr`
604×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	2893
1	505	2809
2	1323	2745
3	7109	2717

Stop Event

1×	node limit

Counts

99 → 98

Calls

Call 1

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

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

eval27.0ms (0.7%)

Compiler: Compiled 1277 to 823 computations (35.6% saved)

prune18.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	3	3
Done	0	4	4
Total	98	8	106

Accuracy

100.0%

Counts

106 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.0%	(fma.f64 y x (*.f64 x 1/2))
✓	76.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.7%	(-.f64 z (*.f64 x -1/2))
✓	59.0%	(+.f64 (.f64 x y) (.f64 x 1/2))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	35.6%	(*.f64 x y)
✓	25.3%	(*.f64 1/2 x)
	43.5%	z
✓	59.0%	(fma.f64 y x (*.f64 x 1/2))
✓	76.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.7%	(-.f64 z (*.f64 x -1/2))
✓	59.0%	(+.f64 (.f64 x y) (.f64 x 1/2))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	35.6%	(*.f64 x y)
✓	25.3%	(*.f64 1/2 x)
	43.5%	z

Compiler

Compiled 120 to 86 computations (28.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune5.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.0%	(fma.f64 y x (*.f64 x 1/2))
✓	76.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.7%	(-.f64 z (*.f64 x -1/2))
✓	59.0%	(+.f64 (.f64 x y) (.f64 x 1/2))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	35.6%	(*.f64 x y)
✓	25.3%	(*.f64 1/2 x)
	43.5%	z

Compiler

Compiled 139 to 84 computations (39.6% saved)

regimes47.0ms (1.2%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))

Calls

5 calls:

12.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
9.0ms	x
8.0ms	z
8.0ms	y
7.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 113 to 65 computations (42.5% saved)

regimes77.0ms (2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

44.0ms	z
10.0ms	x
7.0ms	y
7.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
7.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 105 to 61 computations (41.9% saved)

regimes51.0ms (1.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	z
16.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
86.4%	3	`x`
98.9%	3	`y`
89.3%	3	`z`

Compiler

Compiled 52 to 30 computations (42.3% saved)

regimes30.0ms (0.8%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
14.0ms	z

Results

Accuracy	Segments	Branch
84.3%	3	`z`
87.4%	3	`y`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes108.0ms (2.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	x
26.0ms	y
15.0ms	z

Results

Accuracy	Segments	Branch
79.8%	3	`z`
78.2%	3	`x`
69.0%	7	`y`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes75.0ms (2%)

Counts

3 → 7

Calls

Call 1

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

Outputs
(*.f64 x y)
z
(*.f64 1/2 x)
z
(*.f64 1/2 x)
z
(*.f64 x y)

Calls

3 calls:

42.0ms	y
17.0ms	z
14.0ms	x

Results

Accuracy	Segments	Branch
68.3%	7	`y`
58.9%	3	`x`
63.8%	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes38.0ms (1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

Outputs
z
(*.f64 1/2 x)
z

Calls

3 calls:

15.0ms	y
13.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
53.1%	3	`x`
56.0%	3	`z`
48.1%	5	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

4.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
43.5%	1	`x`
43.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch29.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.7764713954216088e-8	2.2176502723500428e-7
18.0ms	-17109.982032475553	-0.19911293051971865

Results

26.0ms

240×

body

256

valid

Compiler

Compiled 303 to 223 computations (26.4% saved)

bsearch35.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.1113976508269893e+44	7.181682004729479e+48
19.0ms	-0.19911293051971865	-3.1503648726375015e-13

Results

29.0ms	274×	body	256	valid
1.0ms	14×	body	256	infinite

Compiler

Compiled 342 to 265 computations (22.5% saved)

bsearch19.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	8147397.214788189	11968610.670059895
13.0ms	-7.145296644800785e+122	-7.837549818629562e+120

Results

14.0ms	138×	body	256	valid
2.0ms	22×	body	256	infinite

Compiler

Compiled 158 to 123 computations (22.2% saved)

bsearch120.0ms (3.2%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	2.1113976508269893e+44	7.181682004729479e+48
9.0ms	2.88381682235711e-226	6.275762764286648e-226
7.0ms	1.0416017486084307e-299	1.7935799259262534e-299
10.0ms	-7.473316478701065e-226	-2.5990858116308106e-226
16.0ms	-1.3341981151926832e-164	-3.527675310769899e-174
20.0ms	-17109.982032475553	-0.19911293051971865

Results

112.0ms	632×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 498 to 396 computations (20.5% saved)

bsearch34.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.904544922926708e-21	0.0006316443846457861
14.0ms	-7.71624310230799e-77	-4.524712304787203e-81

Results

26.0ms	248×	body	256	valid
4.0ms	40×	body	256	infinite

Compiler

Compiled 234 to 193 computations (17.5% saved)

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

124×	`distribute-lft-neg-in`
122×	`unsub-neg`
86×	`neg-mul-1`
60×	`distribute-rgt-neg-in`
58×	`cancel-sign-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	433
1	114	429
2	148	429
3	186	429
4	233	429
5	276	429
6	359	429
7	433	429
8	461	429
9	482	429
10	505	429
11	509	429
12	521	429

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 y -1/2) (-.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 519460313115661/2361183241434822606848) (-.f64 z (.f64 x -1/2)) (-.f64 z (*.f64 x (neg.f64 y)))))
(if (<=.f64 y -5764607523034235/36028797018963968) (.f64 x (+.f64 1/2 y)) (if (<=.f64 y 42000000000000000218932639601066654978849898496) (-.f64 z (.f64 x -1/2)) (*.f64 x (+.f64 1/2 y))))
(if (<=.f64 z -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416) z (if (<=.f64 z 9000000) (*.f64 x (+.f64 1/2 y)) z))
(if (<=.f64 y -17000) (.f64 x y) (if (<=.f64 y -7676603802429837/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) z (if (<=.f64 y -2333805051507949/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) (.f64 1/2 x) (if (<=.f64 y 541942639517149/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) z (if (<=.f64 y 8001617319455825/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 1/2 x) (if (<=.f64 y 219999999999999995638546337394828531480920064) z (.f64 x y)))))))
(if (<=.f64 z -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) z (if (<=.f64 z 7269215601948759/10384593717069655257060992658440192) (*.f64 1/2 x) z))
z

Outputs
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 y -1/2) (-.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 519460313115661/2361183241434822606848) (-.f64 z (.f64 x -1/2)) (-.f64 z (*.f64 x (neg.f64 y)))))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 519460313115661/2361183241434822606848))) (-.f64 z (.f64 x (neg.f64 y))) (-.f64 z (.f64 x -1/2)))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 519460313115661/2361183241434822606848))) (+.f64 z (.f64 y x)) (-.f64 z (.f64 x -1/2)))
(if (<=.f64 y -5764607523034235/36028797018963968) (.f64 x (+.f64 1/2 y)) (if (<=.f64 y 42000000000000000218932639601066654978849898496) (-.f64 z (.f64 x -1/2)) (*.f64 x (+.f64 1/2 y))))
(if (or (<=.f64 y -5764607523034235/36028797018963968) (not (<=.f64 y 42000000000000000218932639601066654978849898496))) (.f64 x (+.f64 y 1/2)) (-.f64 z (.f64 x -1/2)))
(if (<=.f64 z -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416) z (if (<=.f64 z 9000000) (*.f64 x (+.f64 1/2 y)) z))
(if (<=.f64 z -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416) z (if (<=.f64 z 9000000) (*.f64 x (+.f64 y 1/2)) z))
(if (<=.f64 y -17000) (.f64 x y) (if (<=.f64 y -7676603802429837/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) z (if (<=.f64 y -2333805051507949/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) (.f64 1/2 x) (if (<=.f64 y 541942639517149/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) z (if (<=.f64 y 8001617319455825/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 1/2 x) (if (<=.f64 y 219999999999999995638546337394828531480920064) z (.f64 x y)))))))
(if (<=.f64 y -17000) (.f64 y x) (if (<=.f64 y -7676603802429837/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) z (if (<=.f64 y -2333805051507949/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) (.f64 x 1/2) (if (<=.f64 y 541942639517149/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) z (if (<=.f64 y 8001617319455825/13336028865759708548159703581442515594289516644631816320792515623528074475635264143042864401743108581485859821186866480891777603308238730160726712104661660092190315159028029116926156571823628049457930032271773203963381496074952922582327754752) (.f64 x 1/2) (if (<=.f64 y 219999999999999995638546337394828531480920064) z (.f64 y x)))))))
(if (<=.f64 z -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) z (if (<=.f64 z 7269215601948759/10384593717069655257060992658440192) (*.f64 1/2 x) z))
(if (<=.f64 z -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) z (if (<=.f64 z 7269215601948759/10384593717069655257060992658440192) (*.f64 x 1/2) z))
z

Compiler

Compiled 145 to 97 computations (33.1% saved)

soundness830.0ms (21.9%)

Rules

2916×	`fma-def`
2916×	`fma-def`
1864×	`fma-def`
1864×	`fma-def`
1268×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	375
2	274	371
3	801	323
4	1689	297
5	2820	297
6	3289	292
7	3453	292
8	3561	292
9	3594	292
10	3602	276
11	4160	276
12	4160	276
13	4160	276
0	17	52
1	234	47
2	3466	43
0	40	435
1	99	375
2	274	371
3	801	323
4	1689	297
5	2820	297
6	3289	292
7	3453	292
8	3561	292
9	3594	292
10	3602	276
11	4160	276
12	4160	276
13	4160	276
0	304	6491
1	746	6291
2	2245	6188
0	304	6491
1	746	6291
2	2245	6188

Stop Event

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

Compiler

Compiled 279 to 149 computations (46.6% saved)

end0.0ms (0%)

preprocess80.0ms (2.1%)

Compiler: Compiled 272 to 166 computations (39% saved)

Iter	Nodes	Cost
0	72	433
1	114	429
2	148	429
3	186	429
4	233	429
5	276	429
6	359	429
7	433	429
8	461	429
9	482	429
10	505	429
11	509	429
12	521	429

Iter	Nodes	Cost
0	72	433
1	114	429
2	148	429
3	186	429
4	233	429
5	276	429
6	359	429
7	433	429
8	461	429
9	482	429
10	505	429
11	509	429
12	521	429

analyze0.0ms (0%)

sample1.1s (29.3%)

preprocess230.0ms (6.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize62.0ms (1.6%)

series8.0ms (0.2%)

rewrite139.0ms (3.7%)

simplify84.0ms (2.2%)

eval43.0ms (1.1%)

prune41.0ms (1.1%)

localize77.0ms (2%)

series1.0ms (0%)

rewrite54.0ms (1.4%)

simplify54.0ms (1.4%)

eval16.0ms (0.4%)

prune22.0ms (0.6%)

localize48.0ms (1.3%)

series1.0ms (0%)

rewrite61.0ms (1.6%)

simplify77.0ms (2%)

eval27.0ms (0.7%)

prune18.0ms (0.5%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes47.0ms (1.2%)

regimes77.0ms (2%)

regimes51.0ms (1.4%)

regimes30.0ms (0.8%)

regimes108.0ms (2.8%)

regimes75.0ms (2%)

regimes38.0ms (1%)

regimes7.0ms (0.2%)

bsearch29.0ms (0.8%)

bsearch35.0ms (0.9%)

bsearch19.0ms (0.5%)

bsearch120.0ms (3.2%)

bsearch34.0ms (0.9%)

simplify33.0ms (0.9%)

soundness830.0ms (21.9%)

end0.0ms (0%)

preprocess80.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	72	433
1	114	429
2	148	429
3	186	429
4	233	429
5	276	429
6	359	429
7	433	429
8	461	429
9	482	429
10	505	429
11	509	429
12	521	429