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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (27.8%)

Results

994.0ms	7271×	body	256	valid
94.0ms	985×	body	256	infinite

Bogosity

preprocess266.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

2916×	`fma-def`
416×	`distribute-rgt-in`
308×	`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	804	323
4	1692	297
5	2827	297
6	3301	292
7	3465	292
8	3573	292
9	3608	292
10	3616	276
11	4174	276
12	4174	276
13	4174	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 (fma.f64 x (-.f64 -1/2 y) 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 (fma.f64 x (-.f64 -1/2 y) 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 -1/2 x) (fma.f64 x y (neg.f64 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 1/2 x)))
(+.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)))
(-.f64 x (*.f64 z (-.f64 -1/2 y)))
(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)))
(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)

localize59.0ms (1.5%)

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)

series6.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite233.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`fma-def`
835×	`log1p-expm1-u`
835×	`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	3469	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 (.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 (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)) (*.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 1 (/.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4)) (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 (.f64 (pow.f64 x 2) 1/4) (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)) (.f64 (pow.f64 x 2) 1/4)))
(/.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 (.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 (fma.f64 x (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 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 (.f64 x y) 3) (pow.f64 z 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 (.f64 x y) 3) (pow.f64 z 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 (.f64 x y) 3) (pow.f64 z 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 (.f64 x y) 3) (pow.f64 z 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 (.f64 x y) 3) (pow.f64 z 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)) (.f64 (pow.f64 x 2) 1/4))))
(/.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)) (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) (.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 (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 (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 (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 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 (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 (sqrt.f64 (.f64 x 1/2)) (sqrt.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 y)) (sqrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(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 (neg.f64 x) -1/2 (fma.f64 x y z))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 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))

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1840×	`fma-def`
1324×	`distribute-lft-in`
1314×	`distribute-rgt-in`
844×	`unswap-sqr`
414×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	6488
1	765	6285
2	2313	6175

Stop Event

1×	node limit

Counts

168 → 156

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

eval46.0ms (1.2%)

Compiler: Compiled 2622 to 1381 computations (47.3% saved)

prune29.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	150	6	156
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	152	6	158

Accuracy

100.0%

Counts

158 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	66.5%	(-.f64 z (*.f64 x -1/2))
▶	62.9%	(+.f64 (.f64 1/2 x) (.f64 x y))
▶	62.9%	(*.f64 x (+.f64 1/2 y))
▶	34.8%	(*.f64 x y)
	38.4%	z
▶	71.1%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	66.5%	(-.f64 z (*.f64 x -1/2))
▶	62.9%	(+.f64 (.f64 1/2 x) (.f64 x y))
▶	62.9%	(*.f64 x (+.f64 1/2 y))
▶	34.8%	(*.f64 x y)
	38.4%	z

Compiler

Compiled 172 to 122 computations (29.1% saved)

localize77.0ms (1.9%)

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 (0.1%)

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))

rewrite107.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log1p-expm1-u`
811×	`expm1-log1p-u`
802×	`log-prod`
774×	`fma-def`
656×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	176	38
2	2180	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 (+.f64 1/2 y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (/.f64 (.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 (+.f64 1/2 y)) x))
(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 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (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 (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 (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 (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 (.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 (+.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 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.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 (sqrt.f64 x) (.f64 (sqrt.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 (+.f64 1/2 y)) x))
(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 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (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 (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 (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 (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 (.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))

simplify110.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1180×	`fma-def`
1066×	`times-frac`
950×	`fma-neg`
720×	`log-prod`
628×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	5389
1	574	5242
2	1465	4776
3	7026	4776

Stop Event

1×	node limit

Counts

180 → 102

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

eval29.0ms (0.7%)

Compiler: Compiled 1278 to 806 computations (36.9% saved)

prune19.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	101	7	108

Accuracy

100.0%

Counts

108 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.5%	(-.f64 z (*.f64 x -1/2))
✓	62.9%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	62.9%	(*.f64 x (+.f64 1/2 y))
✓	34.8%	(*.f64 x y)
▶	30.0%	(*.f64 1/2 x)
	38.4%	z
✓	71.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.5%	(-.f64 z (*.f64 x -1/2))
✓	62.9%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	62.9%	(*.f64 x (+.f64 1/2 y))
✓	34.8%	(*.f64 x y)
▶	30.0%	(*.f64 1/2 x)
	38.4%	z

Compiler

Compiled 102 to 74 computations (27.5% 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)

prune6.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	5	5
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.5%	(-.f64 z (*.f64 x -1/2))
✓	62.9%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	62.9%	(*.f64 x (+.f64 1/2 y))
✓	34.8%	(*.f64 x y)
✓	30.0%	(*.f64 1/2 x)
	38.4%	z
✓	71.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.5%	(-.f64 z (*.f64 x -1/2))
✓	62.9%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	62.9%	(*.f64 x (+.f64 1/2 y))
✓	34.8%	(*.f64 x y)
✓	30.0%	(*.f64 1/2 x)
	38.4%	z

Compiler

Compiled 102 to 74 computations (27.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	66.5%	(-.f64 z (*.f64 x -1/2))
✓	62.9%	(+.f64 (.f64 1/2 x) (.f64 x y))
✓	62.9%	(*.f64 x (+.f64 1/2 y))
✓	34.8%	(*.f64 x y)
✓	30.0%	(*.f64 1/2 x)
	38.4%	z

Compiler

Compiled 109 to 68 computations (37.6% saved)

regimes33.0ms (0.8%)

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 92 to 55 computations (40.2% saved)

regimes58.0ms (1.5%)

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:

20.0ms	z
18.0ms	x
18.0ms	y

Results

Accuracy	Segments	Branch
88.5%	3	`x`
98.9%	3	`y`
86.9%	3	`z`

Compiler

Compiled 45 to 27 computations (40% saved)

regimes88.0ms (2.2%)

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

Calls

2 calls:

66.0ms	y
21.0ms	x

Results

Accuracy	Segments	Branch
86.5%	5	`x`
87.2%	3	`y`

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes55.0ms (1.4%)

Counts

4 → 5

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

Calls

3 calls:

25.0ms	y
18.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
83.4%	5	`x`
77.1%	3	`z`
69.4%	7	`y`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes85.0ms (2.1%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	x
26.0ms	y
23.0ms	z

Results

Accuracy	Segments	Branch
69.4%	7	`y`
63.5%	7	`z`
67.0%	11	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes44.0ms (1.1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

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

Calls

3 calls:

18.0ms	y
12.0ms	z
12.0ms	x

Results

Accuracy	Segments	Branch
55.8%	3	`x`
52.1%	3	`z`
48.5%	5	`y`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes10.0ms (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:

4.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
38.4%	1	`y`
38.4%	1	`z`
38.4%	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch33.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00020541683957754988	1113167785.809047
12.0ms	-7097067.888205988	-146944.73384410847

Results

29.0ms

272×

body

256

valid

Compiler

Compiled 341 to 251 computations (26.4% saved)

bsearch29.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.8281686090235163e+81	1.1948271753177568e+84
15.0ms	-2.1240684000670935e+27	-2.815332227972037e+25

Results

24.0ms	215×	body	256	valid
2.0ms	25×	body	256	infinite

Compiler

Compiled 258 to 193 computations (25.2% saved)

bsearch129.0ms (3.3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	1.2280127193153955e-59	7.042972215188723e-58
15.0ms	-1.2386713895547263e-140	-2.4587234184621647e-142
81.0ms	-2.3545130301839196e-75	-1.0384506233305787e-79
21.0ms	-10150751178212756.0	-1853.3880877194863

Results

123.0ms

512×

body

256

valid

Compiler

Compiled 466 to 365 computations (21.7% saved)

bsearch88.0ms (2.2%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.8281686090235163e+81	1.1948271753177568e+84
13.0ms	5.375845605415961e-109	1.0428612063327328e-107
19.0ms	3.6205154602301685e-194	1.3153465286008457e-181
13.0ms	5.68646456148018e-243	9.496583125291597e-241
9.0ms	-6.51832225396747e-84	-2.3437371143984067e-84
19.0ms	-1.5087081404191946e+49	-6.132003984772389e+37

Results

77.0ms	727×	body	256	valid
2.0ms	25×	body	256	infinite

Compiler

Compiled 582 to 465 computations (20.1% saved)

bsearch33.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.682173210042535e-46	4.231561175037205e-26
12.0ms	-2.9005797379495387e+34	-1.3082318306541776e+32

Results

28.0ms	277×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 234 to 193 computations (17.5% saved)

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

124×	`distribute-lft-neg-in`
118×	`unsub-neg`
86×	`neg-mul-1`
60×	`distribute-rgt-neg-in`
56×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	447
1	114	443
2	151	434
3	195	430
4	246	430
5	292	430
6	374	430
7	449	430
8	476	430
9	496	430
10	522	430
11	526	430
12	535	430

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 y -150000) (-.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 -90000000000000006006243328) (.f64 x y) (if (<=.f64 y 1850000000000000033402373643528915459041328072999225067970158895561157806923972608) (-.f64 z (.f64 x -1/2)) (*.f64 x y)))
(if (<=.f64 x -98000) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x -3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) z (if (<=.f64 x -6435747806372447/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208) z (*.f64 x (+.f64 1/2 y))))))
(if (<=.f64 y -68000000000000001113715910357104459776) (.f64 x y) (if (<=.f64 y -7436652464262241/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) z (if (<=.f64 y 1876879207201175/15015033657609400459942315391018513722623519187099007073355798781525263125238463415894820397160662761697108038369410925238365381332604486523522921813279810320079453845181805154673256699778290824639959535835805252308660678089369234238529227774479195332149248) (.f64 1/2 x) (if (<=.f64 y 462316631972025/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) z (if (<=.f64 y 5024025362805889/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (.f64 1/2 x) (if (<=.f64 y 1899999999999999829373113468053549870093850636478362854659977545723999631154610176) z (.f64 x y)))))))
(if (<=.f64 x -28000000000000000781949476850892800) (.f64 1/2 x) (if (<=.f64 x 7317432018267861/174224571863520493293247799005065324265472) z (.f64 1/2 x)))
z

Outputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 z (*.f64 x (-.f64 y -1/2)))
(if (<=.f64 y -150000) (-.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 -150000) (not (<=.f64 y 1/2))) (-.f64 z (.f64 x (neg.f64 y))) (-.f64 z (.f64 x -1/2)))
(if (or (<=.f64 y -150000) (not (<=.f64 y 1/2))) (+.f64 z (.f64 x y)) (-.f64 z (.f64 x -1/2)))
(if (<=.f64 y -90000000000000006006243328) (.f64 x y) (if (<=.f64 y 1850000000000000033402373643528915459041328072999225067970158895561157806923972608) (-.f64 z (.f64 x -1/2)) (*.f64 x y)))
(if (or (<=.f64 y -90000000000000006006243328) (not (<=.f64 y 1850000000000000033402373643528915459041328072999225067970158895561157806923972608))) (.f64 x y) (-.f64 z (.f64 x -1/2)))
(if (<=.f64 x -98000) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x -3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) z (if (<=.f64 x -6435747806372447/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208) z (*.f64 x (+.f64 1/2 y))))))
(if (<=.f64 x -98000) (.f64 x (+.f64 y 1/2)) (if (<=.f64 x -3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) z (if (or (<=.f64 x -6435747806372447/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (not (<=.f64 x 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208))) (.f64 x (+.f64 y 1/2)) z)))
(if (or (<=.f64 x -98000) (not (or (<=.f64 x -3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (not (or (<=.f64 x -6435747806372447/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (not (<=.f64 x 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208))))))) (*.f64 x (+.f64 y 1/2)) z)
(if (or (<=.f64 x -98000) (not (or (<=.f64 x -3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (and (not (<=.f64 x -6435747806372447/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144)) (<=.f64 x 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208))))) (*.f64 x (+.f64 y 1/2)) z)
(if (or (<=.f64 x -98000) (and (not (<=.f64 x -3754664711579725/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048)) (or (<=.f64 x -6435747806372447/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144) (not (<=.f64 x 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208))))) (*.f64 x (+.f64 y 1/2)) z)
(if (<=.f64 y -68000000000000001113715910357104459776) (.f64 x y) (if (<=.f64 y -7436652464262241/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) z (if (<=.f64 y 1876879207201175/15015033657609400459942315391018513722623519187099007073355798781525263125238463415894820397160662761697108038369410925238365381332604486523522921813279810320079453845181805154673256699778290824639959535835805252308660678089369234238529227774479195332149248) (.f64 1/2 x) (if (<=.f64 y 462316631972025/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) z (if (<=.f64 y 5024025362805889/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (.f64 1/2 x) (if (<=.f64 y 1899999999999999829373113468053549870093850636478362854659977545723999631154610176) z (.f64 x y)))))))
(if (<=.f64 y -68000000000000001113715910357104459776) (.f64 x y) (if (<=.f64 y -7436652464262241/2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053824) z (if (<=.f64 y 1876879207201175/15015033657609400459942315391018513722623519187099007073355798781525263125238463415894820397160662761697108038369410925238365381332604486523522921813279810320079453845181805154673256699778290824639959535835805252308660678089369234238529227774479195332149248) (.f64 x 1/2) (if (<=.f64 y 462316631972025/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) z (if (<=.f64 y 5024025362805889/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (.f64 x 1/2) (if (<=.f64 y 1899999999999999829373113468053549870093850636478362854659977545723999631154610176) z (.f64 x y)))))))
(if (<=.f64 x -28000000000000000781949476850892800) (.f64 1/2 x) (if (<=.f64 x 7317432018267861/174224571863520493293247799005065324265472) z (.f64 1/2 x)))
(if (or (<=.f64 x -28000000000000000781949476850892800) (not (<=.f64 x 7317432018267861/174224571863520493293247799005065324265472))) (*.f64 x 1/2) z)
z

Compiler

Compiled 141 to 97 computations (31.2% saved)

soundness779.0ms (19.7%)

Rules

2916×	`fma-def`
2916×	`fma-def`
1840×	`fma-def`
1840×	`fma-def`
1324×	`distribute-lft-in`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	375
2	274	371
3	804	323
4	1692	297
5	2827	297
6	3301	292
7	3465	292
8	3573	292
9	3608	292
10	3616	276
11	4174	276
12	4174	276
13	4174	276
0	40	435
1	99	375
2	274	371
3	804	323
4	1692	297
5	2827	297
6	3301	292
7	3465	292
8	3573	292
9	3608	292
10	3616	276
11	4174	276
12	4174	276
13	4174	276
0	305	6488
1	765	6285
2	2313	6175
0	305	6488
1	765	6285
2	2313	6175

Stop Event

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

Compiler

Compiled 214 to 115 computations (46.3% saved)

end0.0ms (0%)

preprocess191.0ms (4.8%)

Compiler: Compiled 270 to 170 computations (37% saved)

Iter	Nodes	Cost
0	74	447
1	114	443
2	151	434
3	195	430
4	246	430
5	292	430
6	374	430
7	449	430
8	476	430
9	496	430
10	522	430
11	526	430
12	535	430

Iter	Nodes	Cost
0	74	447
1	114	443
2	151	434
3	195	430
4	246	430
5	292	430
6	374	430
7	449	430
8	476	430
9	496	430
10	522	430
11	526	430
12	535	430

analyze0.0ms (0%)

sample1.1s (27.8%)

preprocess266.0ms (6.7%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize59.0ms (1.5%)

series6.0ms (0.2%)

rewrite233.0ms (5.9%)

simplify88.0ms (2.2%)

eval46.0ms (1.2%)

prune29.0ms (0.7%)

localize77.0ms (1.9%)

series2.0ms (0.1%)

rewrite107.0ms (2.7%)

simplify110.0ms (2.8%)

eval29.0ms (0.7%)

prune19.0ms (0.5%)

localize18.0ms (0.5%)

eval0.0ms (0%)

prune6.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes33.0ms (0.8%)

regimes58.0ms (1.5%)

regimes88.0ms (2.2%)

regimes55.0ms (1.4%)

regimes85.0ms (2.1%)

regimes44.0ms (1.1%)

regimes10.0ms (0.2%)

bsearch33.0ms (0.8%)

bsearch29.0ms (0.7%)

bsearch129.0ms (3.3%)

bsearch88.0ms (2.2%)

bsearch33.0ms (0.8%)

simplify99.0ms (2.5%)

soundness779.0ms (19.7%)

end0.0ms (0%)

preprocess191.0ms (4.8%)

Profiling

Iter	Nodes	Cost
0	74	447
1	114	443
2	151	434
3	195	430
4	246	430
5	292	430
6	374	430
7	449	430
8	476	430
9	496	430
10	522	430
11	526	430
12	535	430