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)

sample887.0ms (24.2%)

Results

785.0ms	7316×	body	256	valid
88.0ms	940×	body	256	infinite

Bogosity

preprocess275.0ms (7.5%)

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)

localize57.0ms (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)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite201.0ms (5.5%)

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))

simplify97.0ms (2.6%)

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))

eval79.0ms (2.2%)

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

prune29.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	6	148
Fresh	0	0	0
Picked	1	1	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%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	71.5%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	69.1%	(-.f64 z (*.f64 x -1/2))
▶	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
▶	59.0%	(*.f64 x (+.f64 1/2 y))
▶	32.2%	(*.f64 x y)
	41.6%	z
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	71.5%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	69.1%	(-.f64 z (*.f64 x -1/2))
▶	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
▶	59.0%	(*.f64 x (+.f64 1/2 y))
▶	32.2%	(*.f64 x y)
	41.6%	z

Compiler

Compiled 192 to 136 computations (29.2% saved)

localize72.0ms (2%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 62 to 26 computations (58.1% saved)

series2.0ms (0%)

Counts

2 → 27

Calls

12 calls:

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

rewrite75.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

813×	`log1p-expm1-u`
813×	`expm1-log1p-u`
802×	`log-prod`
774×	`fma-def`
654×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	176	38
2	2177	38

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

simplify98.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1170×	`fma-def`
1066×	`times-frac`
1032×	`fma-neg`
710×	`log-prod`
634×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	5253
1	573	5106
2	1470	4640
3	7081	4640

Stop Event

1×	node limit

Counts

180 → 100

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

eval28.0ms (0.8%)

Compiler: Compiled 1253 to 779 computations (37.8% saved)

prune18.0ms (0.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	99	8	107

Accuracy

100.0%

Counts

107 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	71.5%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	69.1%	(-.f64 z (*.f64 x -1/2))
✓	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	32.2%	(*.f64 x y)
▶	29.2%	(*.f64 1/2 x)
	41.6%	z
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	71.5%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	69.1%	(-.f64 z (*.f64 x -1/2))
✓	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	32.2%	(*.f64 x y)
▶	29.2%	(*.f64 1/2 x)
	41.6%	z

Compiler

Compiled 122 to 88 computations (27.9% saved)

localize18.0ms (0.5%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

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	1	1
Done	6	6
Total	8	8

Accuracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	71.5%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	69.1%	(-.f64 z (*.f64 x -1/2))
✓	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	32.2%	(*.f64 x y)
✓	29.2%	(*.f64 1/2 x)
	41.6%	z
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	71.5%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	69.1%	(-.f64 z (*.f64 x -1/2))
✓	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	32.2%	(*.f64 x y)
✓	29.2%	(*.f64 1/2 x)
	41.6%	z

Compiler

Compiled 122 to 88 computations (27.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune8.0ms (0.2%)

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
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	71.5%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	69.1%	(-.f64 z (*.f64 x -1/2))
✓	59.0%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	59.0%	(*.f64 x (+.f64 1/2 y))
✓	32.2%	(*.f64 x y)
✓	29.2%	(*.f64 1/2 x)
	41.6%	z

Compiler

Compiled 119 to 75 computations (37% saved)

regimes70.0ms (1.9%)

Counts

10 → 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 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))

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

Calls

5 calls:

44.0ms	y
7.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
6.0ms	z
6.0ms	x
6.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

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 92 to 55 computations (40.2% saved)

regimes93.0ms (2.5%)

Counts

8 → 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 z (*.f64 x (-.f64 -1/2 y)))

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

Calls

3 calls:

50.0ms	x
36.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 52 to 31 computations (40.4% saved)

regimes100.0ms (2.7%)

Counts

7 → 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))

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

Calls

3 calls:

51.0ms	y
24.0ms	x
24.0ms	z

Results

Accuracy	Segments	Branch
88.7%	5	`x`
98.7%	3	`y`
87.7%	5	`z`

Compiler

Compiled 45 to 27 computations (40% saved)

regimes14.0ms (0.4%)

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 y)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
86.4%	3	`y`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes46.0ms (1.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	y
11.0ms	z
11.0ms	x

Results

Accuracy	Segments	Branch
75.6%	3	`z`
76.5%	3	`x`
66.5%	5	`y`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes84.0ms (2.3%)

Counts

3 → 8

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	z
25.0ms	y
20.0ms	x

Results

Accuracy	Segments	Branch
67.5%	8	`y`
66.0%	12	`z`
63.7%	6	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes35.0ms (1%)

Counts

2 → 5

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

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

Calls

2 calls:

20.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
58.7%	5	`x`
51.6%	7	`y`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes9.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
41.6%	1	`y`
41.6%	1	`z`
41.6%	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch28.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0023958687890175264	19939727500.100464
11.0ms	-24.004796779857728	-3.6386156202858437

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 322 to 237 computations (26.4% saved)

bsearch20.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.327435895508336e+26	1.567694065250503e+27
11.0ms	-24.004796779857728	-3.6386156202858437

Results

16.0ms	171×	body	256	valid
0.0ms	5×	body	256	infinite

Compiler

Compiled 206 to 157 computations (23.8% saved)

bsearch28.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.2527452500478744e-143	2.5890191877027788e-142
17.0ms	-5.181548066000732e-30	-7.500740985876574e-38

Results

25.0ms

240×

body

256

valid

Compiler

Compiled 228 to 178 computations (21.9% saved)

bsearch153.0ms (4.2%)

Algorithm

7×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	7.732790408060151e+19	3.446461733246273e+26
14.0ms	7.566508716668677e-40	7.44272718790995e-37
16.0ms	5.564470908423497e-64	7.693077952551887e-56
69.0ms	9.047502703330261e-214	5.291215842565125e-212
8.0ms	7.827360333669465e-305	1.1358794624374446e-304
16.0ms	-8.406758569313836e-118	-4.410849284672968e-127
14.0ms	-3.6386156202858437	-0.008769910350753857

Results

141.0ms	858×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 682 to 552 computations (19.1% saved)

bsearch61.0ms (1.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.4052538253478056e+82	6.606721634445603e+84
14.0ms	4.3791244142835956e-35	2.4476365392305037e-33
12.0ms	4.066501381154738e-114	1.8076782323404455e-113
18.0ms	-1.4438410488938396e+108	-4.972091057627678e+96

Results

52.0ms	469×	body	256	valid
3.0ms	27×	body	256	infinite

Compiler

Compiled 390 to 323 computations (17.2% saved)

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

140×	`distribute-lft-neg-in`
138×	`unsub-neg`
96×	`neg-mul-1`
72×	`cancel-sign-sub`
66×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	509
1	121	505
2	158	505
3	203	501
4	255	501
5	303	501
6	393	501
7	482	501
8	523	501
9	556	501
10	588	501
11	593	501
12	603	501

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 y -4165829655317709/1125899906842624) (-.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 1/2) (-.f64 z (.f64 x -1/2)) (-.f64 z (*.f64 x (neg.f64 y)))))
(if (<=.f64 y -12) (.f64 x (+.f64 1/2 y)) (if (<=.f64 y 760000000000000043083890688) (-.f64 z (.f64 x -1/2)) (*.f64 x y)))
(if (<=.f64 x -7901930132589739/23945242826029513411849172299223580994042798784118784) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 4942654315294039/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) z (.f64 x (+.f64 1/2 y))))
(if (<=.f64 y -1/2) (.f64 x y) (if (<=.f64 y -526958075114315/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (.f64 1/2 x) (if (<=.f64 y 5188534325504789/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) z (if (<=.f64 y 2880648804073581/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872) (.f64 1/2 x) (if (<=.f64 y 3957737425103581/28269553036454149273332760011886696253239742350009903329945699220681916416) z (if (<=.f64 y 7355978596156267/1532495540865888858358347027150309183618739122183602176) (.f64 1/2 x) (if (<=.f64 y 124999999999999997902848) z (*.f64 x y))))))))
(if (<=.f64 x -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (.f64 1/2 x) (if (<=.f64 x 6238506811771833/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) z (if (<=.f64 x 8231177221447645/187072209578355573530071658587684226515959365500928) (.f64 1/2 x) (if (<=.f64 x 370000000000000023530441395674932963475150043987114184617247043200089362074550927360) z (*.f64 1/2 x)))))
z

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 x y)) z)
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 z (*.f64 x (-.f64 y -1/2)))
(if (<=.f64 y -4165829655317709/1125899906842624) (-.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 1/2) (-.f64 z (.f64 x -1/2)) (-.f64 z (*.f64 x (neg.f64 y)))))
(if (or (<=.f64 y -4165829655317709/1125899906842624) (not (<=.f64 y 1/2))) (-.f64 z (.f64 x (neg.f64 y))) (-.f64 z (.f64 x -1/2)))
(if (or (<=.f64 y -4165829655317709/1125899906842624) (not (<=.f64 y 1/2))) (+.f64 z (.f64 x y)) (-.f64 z (.f64 x -1/2)))
(if (<=.f64 y -12) (.f64 x (+.f64 1/2 y)) (if (<=.f64 y 760000000000000043083890688) (-.f64 z (.f64 x -1/2)) (*.f64 x y)))
(if (<=.f64 y -12) (.f64 x (+.f64 y 1/2)) (if (<=.f64 y 760000000000000043083890688) (-.f64 z (.f64 x -1/2)) (*.f64 x y)))
(if (<=.f64 x -7901930132589739/23945242826029513411849172299223580994042798784118784) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 4942654315294039/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608) z (.f64 x (+.f64 1/2 y))))
(if (or (<=.f64 x -7901930132589739/23945242826029513411849172299223580994042798784118784) (not (<=.f64 x 4942654315294039/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608))) (*.f64 x (+.f64 y 1/2)) z)
(if (<=.f64 y -1/2) (.f64 x y) (if (<=.f64 y -526958075114315/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (.f64 1/2 x) (if (<=.f64 y 5188534325504789/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) z (if (<=.f64 y 2880648804073581/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872) (.f64 1/2 x) (if (<=.f64 y 3957737425103581/28269553036454149273332760011886696253239742350009903329945699220681916416) z (if (<=.f64 y 7355978596156267/1532495540865888858358347027150309183618739122183602176) (.f64 1/2 x) (if (<=.f64 y 124999999999999997902848) z (*.f64 x y))))))))
(if (<=.f64 y -1/2) (.f64 x y) (if (<=.f64 y -526958075114315/181709681073901722637330951972001133588410340171829515070372549795159822028349480831547762678440891390190630401566544483383650407153664) (.f64 x 1/2) (if (<=.f64 y 5188534325504789/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) z (if (<=.f64 y 2880648804073581/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872) (.f64 x 1/2) (if (<=.f64 y 3957737425103581/28269553036454149273332760011886696253239742350009903329945699220681916416) z (if (<=.f64 y 7355978596156267/1532495540865888858358347027150309183618739122183602176) (.f64 x 1/2) (if (<=.f64 y 124999999999999997902848) z (*.f64 x y))))))))
(if (<=.f64 x -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (.f64 1/2 x) (if (<=.f64 x 6238506811771833/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) z (if (<=.f64 x 8231177221447645/187072209578355573530071658587684226515959365500928) (.f64 1/2 x) (if (<=.f64 x 370000000000000023530441395674932963475150043987114184617247043200089362074550927360) z (*.f64 1/2 x)))))
(if (<=.f64 x -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (.f64 x 1/2) (if (<=.f64 x 6238506811771833/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) z (if (or (<=.f64 x 8231177221447645/187072209578355573530071658587684226515959365500928) (not (<=.f64 x 370000000000000023530441395674932963475150043987114184617247043200089362074550927360))) (.f64 x 1/2) z)))
(if (or (<=.f64 x -17999999999999998288945585156100823803977682462171130609881858203465164502887052146653277747937280) (not (or (<=.f64 x 6238506811771833/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (and (not (<=.f64 x 8231177221447645/187072209578355573530071658587684226515959365500928)) (<=.f64 x 370000000000000023530441395674932963475150043987114184617247043200089362074550927360))))) (*.f64 x 1/2) z)
z

Compiler

Compiled 164 to 112 computations (31.7% saved)

soundness778.0ms (21.3%)

Rules

2916×	`fma-def`
2916×	`fma-def`
1864×	`fma-def`
1864×	`fma-def`
1210×	`distribute-lft-in`

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
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×	saturated

Compiler

Compiled 214 to 115 computations (46.3% saved)

end0.0ms (0%)

preprocess115.0ms (3.1%)

Compiler: Compiled 310 to 192 computations (38.1% saved)

Iter	Nodes	Cost
0	81	509
1	121	505
2	158	505
3	203	501
4	255	501
5	303	501
6	393	501
7	482	501
8	523	501
9	556	501
10	588	501
11	593	501
12	603	501

Iter	Nodes	Cost
0	81	509
1	121	505
2	158	505
3	203	501
4	255	501
5	303	501
6	393	501
7	482	501
8	523	501
9	556	501
10	588	501
11	593	501
12	603	501

analyze0.0ms (0%)

sample887.0ms (24.2%)

preprocess275.0ms (7.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize57.0ms (1.6%)

series5.0ms (0.1%)

rewrite201.0ms (5.5%)

simplify97.0ms (2.6%)

eval79.0ms (2.2%)

prune29.0ms (0.8%)

localize72.0ms (2%)

series2.0ms (0%)

rewrite75.0ms (2%)

simplify98.0ms (2.7%)

eval28.0ms (0.8%)

prune18.0ms (0.5%)

localize18.0ms (0.5%)

eval0.0ms (0%)

prune5.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune8.0ms (0.2%)

regimes70.0ms (1.9%)

regimes93.0ms (2.5%)

regimes100.0ms (2.7%)

regimes14.0ms (0.4%)

regimes46.0ms (1.3%)

regimes84.0ms (2.3%)

regimes35.0ms (1%)

regimes9.0ms (0.2%)

bsearch28.0ms (0.8%)

bsearch20.0ms (0.6%)

bsearch28.0ms (0.8%)

bsearch153.0ms (4.2%)

bsearch61.0ms (1.7%)

simplify69.0ms (1.9%)

soundness778.0ms (21.3%)

end0.0ms (0%)

preprocess115.0ms (3.1%)

Profiling

Iter	Nodes	Cost
0	81	509
1	121	505
2	158	505
3	203	501
4	255	501
5	303	501
6	393	501
7	482	501
8	523	501
9	556	501
10	588	501
11	593	501
12	603	501