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)

sample1.0s (37%)

Results

903.0ms	7221×	body	256	valid
121.0ms	1032×	body	256	infinite
1.0ms	3×	body	1024	valid

Bogosity

preprocess226.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

255×	No Errors
1×	`(+.f64 (/.f64 x 2) (*.f64 y x))`

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)

localize48.0ms (1.7%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 22 computations (53.2% saved)

series7.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

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

rewrite149.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

995×	`log1p-expm1-u`
837×	`expm1-log1p-u`
476×	`expm1-udef`
476×	`log1p-udef`
196×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	266	74
2	4141	74

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

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

simplify105.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1522×	`times-frac`
950×	`fma-neg`
946×	`cancel-sign-sub-inv`
848×	`unswap-sqr`
468×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	9568
1	950	8682
2	3790	8594

Stop Event

1×	node limit

Counts

234 → 171

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

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

eval54.0ms (1.9%)

Compiler: Compiled 3302 to 1760 computations (46.7% saved)

prune27.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	167	4	171
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	167	6	173

Accuracy

100.0%

Counts

173 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	65.9%	(-.f64 z (*.f64 -1/2 x))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	61.9%	(*.f64 x (+.f64 1/2 y))
▶	34.9%	(*.f64 x y)
	39.5%	z
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	65.9%	(-.f64 z (*.f64 -1/2 x))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	61.9%	(*.f64 x (+.f64 1/2 y))
▶	34.9%	(*.f64 x y)
	39.5%	z

Compiler

Compiled 96 to 68 computations (29.2% saved)

localize40.0ms (1.4%)

Compiler: Compiled 31 to 17 computations (45.2% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	3	3
Done	2	2
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	65.9%	(-.f64 z (*.f64 -1/2 x))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	61.9%	(*.f64 x (+.f64 1/2 y))
✓	34.9%	(*.f64 x y)
	39.5%	z
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	65.9%	(-.f64 z (*.f64 -1/2 x))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	61.9%	(*.f64 x (+.f64 1/2 y))
✓	34.9%	(*.f64 x y)
	39.5%	z

Compiler

Compiled 96 to 68 computations (29.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	65.9%	(-.f64 z (*.f64 -1/2 x))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	61.9%	(*.f64 x (+.f64 1/2 y))
✓	34.9%	(*.f64 x y)
	39.5%	z
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	65.9%	(-.f64 z (*.f64 -1/2 x))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	61.9%	(*.f64 x (+.f64 1/2 y))
✓	34.9%	(*.f64 x y)
	39.5%	z

Compiler

Compiled 96 to 68 computations (29.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	65.9%	(-.f64 z (*.f64 -1/2 x))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	61.9%	(*.f64 x (+.f64 1/2 y))
✓	34.9%	(*.f64 x y)
	39.5%	z

Compiler

Compiled 90 to 57 computations (36.7% saved)

regimes28.0ms (1%)

Counts

7 → 1

Calls

Call 1

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

Calls

5 calls:

6.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	(+.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 76 to 47 computations (38.2% saved)

regimes47.0ms (1.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	z
12.0ms	x
12.0ms	y

Results

Accuracy	Segments	Branch
87.1%	3	`x`
84.1%	3	`y`
83.6%	5	`z`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes60.0ms (2.1%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	y
22.0ms	x
14.0ms	z

Results

Accuracy	Segments	Branch
78.3%	3	`z`
69.6%	7	`y`
83.2%	5	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes35.0ms (1.2%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

3 calls:

16.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
57.9%	3	`y`
57.2%	5	`z`
60.4%	3	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (1.8%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

45.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
39.5%	1	`z`
39.5%	1	`y`
39.5%	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch32.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.651973753448765e+96	1.1383988912605614e+104
16.0ms	-0.0279756118324365	-3.3552970458618326e-8

Results

25.0ms	257×	body	256	valid
4.0ms	31×	body	256	infinite

Compiler

Compiled 342 to 265 computations (22.5% saved)

bsearch62.0ms (2.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	6.590545067979386e-8	17307.55048663112
16.0ms	-1.2216187336363549e-171	-3.612735394965993e-178
12.0ms	-4.989364944898929e-92	-2.002263215260298e-94
16.0ms	-0.0279756118324365	-3.3552970458618326e-8

Results

55.0ms

560×

body

256

valid

Compiler

Compiled 508 to 398 computations (21.7% saved)

bsearch63.0ms (2.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	8.74947540407698e+111	6.100832273745598e+116
16.0ms	-0.0279756118324365	-3.3552970458618326e-8

Results

35.0ms	38×	body	256	infinite
24.0ms	250×	body	256	valid

Compiler

Compiled 234 to 175 computations (25.2% saved)

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

200×	`unsub-neg`
116×	`neg-mul-1`
106×	`distribute-lft-neg-in`
52×	`neg-sub0`
46×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	250
1	77	250
2	103	241
3	124	237
4	148	237
5	178	237
6	200	237
7	261	237
8	378	237
9	461	237
10	470	237
11	485	237
12	504	237
13	522	237
14	534	237
15	547	237
16	548	237

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 x -4061235175267895/18889465931478580854784) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 3699999999999999911774591124335800701343609503660549384805635958747700650936929661485495428841472) (-.f64 z (.f64 -1/2 x)) (*.f64 x (+.f64 1/2 y))))
(if (<=.f64 x -2568967366681087/75557863725914323419136) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) z (if (<=.f64 x -5221298924585947/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 1) z (*.f64 x (+.f64 1/2 y))))))
(if (<=.f64 x -944473296573929/295147905179352825856) (.f64 x y) (if (<=.f64 x 9000000000000000011875523009946982274712510202116426024165663882478337833660304860051684962396994027708131311616) z (.f64 x y)))
z

Outputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 z (*.f64 x (-.f64 y -1/2)))
(if (<=.f64 x -4061235175267895/18889465931478580854784) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 3699999999999999911774591124335800701343609503660549384805635958747700650936929661485495428841472) (-.f64 z (.f64 -1/2 x)) (*.f64 x (+.f64 1/2 y))))
(if (or (<=.f64 x -4061235175267895/18889465931478580854784) (not (<=.f64 x 3699999999999999911774591124335800701343609503660549384805635958747700650936929661485495428841472))) (.f64 x (+.f64 y 1/2)) (-.f64 z (.f64 x -1/2)))
(if (<=.f64 x -2568967366681087/75557863725914323419136) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) z (if (<=.f64 x -5221298924585947/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 1) z (*.f64 x (+.f64 1/2 y))))))
(if (<=.f64 x -2568967366681087/75557863725914323419136) (.f64 x (+.f64 y 1/2)) (if (<=.f64 x -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) z (if (or (<=.f64 x -5221298924585947/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (not (<=.f64 x 1))) (.f64 x (+.f64 y 1/2)) z)))
(if (or (<=.f64 x -2568967366681087/75557863725914323419136) (not (or (<=.f64 x -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (not (or (<=.f64 x -5221298924585947/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (not (<=.f64 x 1))))))) (*.f64 x (+.f64 y 1/2)) z)
(if (or (<=.f64 x -2568967366681087/75557863725914323419136) (not (or (<=.f64 x -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (and (not (<=.f64 x -5221298924585947/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576)) (<=.f64 x 1))))) (*.f64 x (+.f64 y 1/2)) z)
(if (<=.f64 x -944473296573929/295147905179352825856) (.f64 x y) (if (<=.f64 x 9000000000000000011875523009946982274712510202116426024165663882478337833660304860051684962396994027708131311616) z (.f64 x y)))
(if (or (<=.f64 x -944473296573929/295147905179352825856) (not (<=.f64 x 9000000000000000011875523009946982274712510202116426024165663882478337833660304860051684962396994027708131311616))) (*.f64 x y) z)
z

Compiler

Compiled 79 to 57 computations (27.8% saved)

soundness528.0ms (18.8%)

Rules

2916×	`fma-def`
2916×	`fma-def`
416×	`distribute-rgt-in`
416×	`distribute-rgt-in`
302×	`sub-neg`

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

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 179 to 94 computations (47.5% saved)

end0.0ms (0%)

preprocess132.0ms (4.7%)

Compiler: Compiled 158 to 106 computations (32.9% saved)

Iter	Nodes	Cost
0	46	250
1	77	250
2	103	241
3	124	237
4	148	237
5	178	237
6	200	237
7	261	237
8	378	237
9	461	237
10	470	237
11	485	237
12	504	237
13	522	237
14	534	237
15	547	237
16	548	237

Iter	Nodes	Cost
0	46	250
1	77	250
2	103	241
3	124	237
4	148	237
5	178	237
6	200	237
7	261	237
8	378	237
9	461	237
10	470	237
11	485	237
12	504	237
13	522	237
14	534	237
15	547	237
16	548	237

analyze0.0ms (0%)

sample1.0s (37%)

preprocess226.0ms (8.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize48.0ms (1.7%)

series7.0ms (0.3%)

rewrite149.0ms (5.3%)

simplify105.0ms (3.8%)

eval54.0ms (1.9%)

prune27.0ms (1%)

localize40.0ms (1.4%)

eval0.0ms (0%)

prune4.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes28.0ms (1%)

regimes47.0ms (1.7%)

regimes60.0ms (2.1%)

regimes35.0ms (1.2%)

regimes51.0ms (1.8%)

bsearch32.0ms (1.1%)

bsearch62.0ms (2.2%)

bsearch63.0ms (2.2%)

simplify60.0ms (2.1%)

soundness528.0ms (18.8%)

end0.0ms (0%)

preprocess132.0ms (4.7%)

Profiling

Iter	Nodes	Cost
0	46	250
1	77	250
2	103	241
3	124	237
4	148	237
5	178	237
6	200	237
7	261	237
8	378	237
9	461	237
10	470	237
11	485	237
12	504	237
13	522	237
14	534	237
15	547	237
16	548	237