Details

analyze282.0ms (8.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
38.6%	37.4%	59.7%	0.1%	2.7%	0%	0%	10
46.4%	44.5%	51.3%	0.1%	4.1%	0%	0%	11
53.7%	50.3%	43.4%	0.1%	6.1%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (40.8%)

Results

1.2s	8255×	body	256	valid
69.0ms	630×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess16.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

50×	`+-commutative`
44×	`fma-def`
16×	`associate-+l+`
8×	`associate-+r+`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	41	84
2	79	84
3	93	84
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def`
12×	`+-commutative`
4×	`associate-+l+`
2×	`associate-+r+`
2×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	21
2	26	21
3	29	21

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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))

eval4.0ms (0.1%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite84.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`distribute-rgt-in`
1154×	`distribute-lft-in`
454×	`associate-/r*`
414×	`associate-/l*`
326×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	231	17
2	3323	17

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (.f64 x (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x y))) (-.f64 1 (+.f64 (.f64 x 1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 1/2))) (-.f64 1 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) (-.f64 1 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z)) (-.f64 (/.f64 z (/.f64 (-.f64 (.f64 x y) z) z)) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 x (-.f64 1/2 y)) z)) (/.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (.f64 x (-.f64 1/2 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x 1/2) (exp.f64 (log1p.f64 (fma.f64 x y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x 1/2) (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z))) (/.f64 z (/.f64 (-.f64 (.f64 x y) z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 x y z) (exp.f64 (log1p.f64 (.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (+.f64 y 1/2)) (exp.f64 (log1p.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (.f64 x 1/2) z) (exp.f64 (log1p.f64 (.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 x (+.f64 y 1/2)) 1) (exp.f64 (log1p.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 1/2 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 1/2 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Outputs

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#<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) 2) (*.f64 (+.f64 (*.f64 z z) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) x)) (+.f64 (*.f64 z z) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 2 x)) (*.f64 (+.f64 (*.f64 z z) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) 1)) (+.f64 (*.f64 z z) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) -2) (*.f64 (+.f64 (*.f64 z z) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z))) (neg.f64 x))) (+.f64 (*.f64 z z) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) z)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))))))

simplify109.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1674×	`associate-*r/`
890×	`associate-+l+`
886×	`+-commutative`
856×	`associate-+r+`
564×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	7818
1	1087	7392
2	4730	7384

Stop Event

1×	node limit

Counts

136 → 192

Calls

Call 1

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

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

eval74.0ms (2.4%)

Compiler: Compiled 5773 to 2620 computations (54.6% saved)

prune42.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	187	5	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	5	193

Error

Counts

193 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	16.8b	(+.f64 (*.f64 1/2 x) z)
▶	28.6b	(*.f64 (+.f64 1/2 y) x)
▶	46.5b	(*.f64 y x)
	34.5b	z

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1/2 y) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite54.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1554×	`*-un-lft-identity`
1456×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1426×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	1886	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 x) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y x) (.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (+.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1/4 (.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/4 (.f64 y y)) x) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 1/2 y) x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 y) x)))))))

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

976×	`*-commutative`
900×	`log-prod`
892×	`+-commutative`
882×	`fma-def`
766×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	494
1	143	486
2	434	486
3	2382	486
4	4693	486
5	7408	486

Stop Event

1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

localize5.0ms (0.2%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 -1/2 y))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`add-sqr-sqrt`
1578×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	13
2	1903	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 -1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1/2 y))))))))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1152×	`fma-def`
1058×	`distribute-lft-neg-out`
930×	`distribute-rgt-neg-out`
878×	`associate-r`
802×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	772
1	162	624
2	488	624
3	3013	624

Stop Event

1×	node limit

Counts

42 → 35

Calls

Call 1

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

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

eval14.0ms (0.4%)

Compiler: Compiled 671 to 430 computations (35.9% saved)

prune12.0ms (0.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	65	7	72

Error

Counts

72 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.4b	(-.f64 z (*.f64 y (neg.f64 x)))
✓	0b	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	16.8b	(+.f64 (*.f64 1/2 x) z)
✓	28.6b	(*.f64 (+.f64 1/2 y) x)
✓	46.5b	(*.f64 y x)
▶	44.9b	(*.f64 1/2 x)
	34.5b	z

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.2%)

Compiler: Compiled 18 to 6 computations (66.7% saved)

eval0.0ms (0%)

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

prune2.0ms (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

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.4b	(-.f64 z (*.f64 y (neg.f64 x)))
✓	0b	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	16.8b	(+.f64 (*.f64 1/2 x) z)
✓	28.6b	(*.f64 (+.f64 1/2 y) x)
✓	46.5b	(*.f64 y x)
✓	44.9b	(*.f64 1/2 x)
	34.5b	z

Compiler

Compiled 51 to 37 computations (27.5% saved)

eval0.0ms (0%)

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

prune2.0ms (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

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.4b	(-.f64 z (*.f64 y (neg.f64 x)))
✓	0b	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	16.8b	(+.f64 (*.f64 1/2 x) z)
✓	28.6b	(*.f64 (+.f64 1/2 y) x)
✓	46.5b	(*.f64 y x)
✓	44.9b	(*.f64 1/2 x)
	34.5b	z

Compiler

Compiled 51 to 37 computations (27.5% saved)

regimes32.0ms (1%)

Counts

9 → 1

Calls

Call 1

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

8.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
6.0ms	z
6.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	y
5.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 85 to 52 computations (38.8% saved)

regimes61.0ms (1.9%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
22.0ms	x
13.0ms	y

Results

Error	Segments	Branch
7.7b	5	`x`
0.7b	3	`y`
6.8b	5	`z`

Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch24.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	2.920666704601804e-5	0.007400799061757762
12.0ms	-22.52426263773068	-0.18422834449690614

Results

21.0ms

224×

body

256

valid

Compiler

Compiled 284 to 209 computations (26.4% saved)

regimes65.0ms (2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	x
12.0ms	z
12.0ms	y

Results

Error	Segments	Branch
9.8b	10	`x`
8.4b	3	`y`
8.4b	3	`z`

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch54.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	4207.013409748807	23709985.717319164
13.0ms	-1.2892950861898571e-23	-3.6498833614083384e-26

Results

51.0ms

256×

body

256

valid

Compiler

Compiled 306 to 237 computations (22.5% saved)

regimes102.0ms (3.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	y
25.0ms	x
15.0ms	z

Results

Error	Segments	Branch
15.5b	7	`x`
23.0b	3	`y`
11.0b	3	`z`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch28.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	8.147927054443856e+55	4.0878590516549586e+57
16.0ms	-7.855001472932728e+61	-1.9385909450047666e+53

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 242 to 189 computations (21.9% saved)

regimes51.0ms (1.6%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
17.0ms	z
13.0ms	y

Results

Error	Segments	Branch
22.5b	7	`x`
23.6b	4	`y`
21.7b	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch57.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	3.491077954972101e+38	1.3707547148853626e+45
15.0ms	2.9269666403079023e-116	4.3116040835271936e-110
12.0ms	2.3494745127044812e-264	9.645714242580443e-263
14.0ms	-1.2892950861898571e-23	-3.6498833614083384e-26

Results

50.0ms

528×

body

256

valid

Compiler

Compiled 446 to 359 computations (19.5% saved)

regimes94.0ms (3%)

Accuracy

Total -38.6b remaining (-163.8%)

Threshold costs -38.6b (-163.8%)

Counts

2 → 5

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

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

Calls

3 calls:

71.0ms	y
14.0ms	z
8.0ms	x

Results

Error	Segments	Branch
25.7b	3	`x`
30.7b	3	`y`
23.6b	5	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch133.0ms (4.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
16.0ms	3.491077954972101e+38	1.3707547148853626e+45
16.0ms	1.349456096789157e-135	3.214815514596441e-126
88.0ms	2.307362493093278e-173	4.988506958264454e-172
13.0ms	-1.2892950861898571e-23	-3.6498833614083384e-26

Results

50.0ms

528×

body

256

valid

Compiler

Compiled 414 to 343 computations (17.1% saved)

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

80×	`distribute-lft-neg-in`
44×	`distribute-rgt-neg-in`
42×	`*-commutative`
34×	`+-commutative`
24×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	271
1	99	267
2	130	267
3	172	267
4	219	267
5	246	267
6	268	267
7	276	267
8	278	267

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 y -1/2) (-.f64 z (.f64 y (neg.f64 x))) (if (<=.f64 y 4150517416584649/576460752303423488) (+.f64 (.f64 1/2 x) z) (-.f64 z (*.f64 y (neg.f64 x)))))
(if (<=.f64 z -8166776806102523/10889035741470030830827987437816582766592) (+.f64 (.f64 1/2 x) z) (if (<=.f64 z 540000) (.f64 (+.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) z)))
(if (<=.f64 z -5200000000000000042333312764654435147250294392552285011968) z (if (<=.f64 z 389999999999999994463769864173057971381382129188155162624) (*.f64 (+.f64 1/2 y) x) z))
(if (<=.f64 z -110591769249305/85070591730234615865843651857942052864) z (if (<=.f64 z 6027051793127611/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (.f64 1/2 x) (if (<=.f64 z 6238506811771833/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 y x) (if (<=.f64 z 480000000000000034529005388137557393408) (*.f64 1/2 x) z))))
(if (<=.f64 z -8798340879107785/43556142965880123323311949751266331066368) z (if (<=.f64 z 1879667612850941/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 1/2 x) (if (<=.f64 z 8838154641319583/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) z (if (<=.f64 z 589999999999999981051138178947026518016) (.f64 1/2 x) z))))
z

Outputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 y -1/2) (-.f64 z (.f64 y (neg.f64 x))) (if (<=.f64 y 4150517416584649/576460752303423488) (+.f64 (.f64 1/2 x) z) (-.f64 z (*.f64 y (neg.f64 x)))))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 4150517416584649/576460752303423488))) (-.f64 z (.f64 y (neg.f64 x))) (+.f64 z (.f64 x 1/2)))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 4150517416584649/576460752303423488))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x 1/2)))
(if (<=.f64 z -8166776806102523/10889035741470030830827987437816582766592) (+.f64 (.f64 1/2 x) z) (if (<=.f64 z 540000) (.f64 (+.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) z)))
(if (or (<=.f64 z -8166776806102523/10889035741470030830827987437816582766592) (not (<=.f64 z 540000))) (+.f64 z (.f64 x 1/2)) (.f64 x (+.f64 y 1/2)))
(if (<=.f64 z -5200000000000000042333312764654435147250294392552285011968) z (if (<=.f64 z 389999999999999994463769864173057971381382129188155162624) (*.f64 (+.f64 1/2 y) x) z))
(if (<=.f64 z -5200000000000000042333312764654435147250294392552285011968) z (if (<=.f64 z 389999999999999994463769864173057971381382129188155162624) (*.f64 x (+.f64 y 1/2)) z))
(if (<=.f64 z -110591769249305/85070591730234615865843651857942052864) z (if (<=.f64 z 6027051793127611/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (.f64 1/2 x) (if (<=.f64 z 6238506811771833/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 y x) (if (<=.f64 z 480000000000000034529005388137557393408) (*.f64 1/2 x) z))))
(if (<=.f64 z -110591769249305/85070591730234615865843651857942052864) z (if (<=.f64 z 6027051793127611/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (.f64 x 1/2) (if (<=.f64 z 6238506811771833/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) (.f64 x y) (if (<=.f64 z 480000000000000034529005388137557393408) (*.f64 x 1/2) z))))
(if (<=.f64 z -8798340879107785/43556142965880123323311949751266331066368) z (if (<=.f64 z 1879667612850941/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 1/2 x) (if (<=.f64 z 8838154641319583/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) z (if (<=.f64 z 589999999999999981051138178947026518016) (.f64 1/2 x) z))))
(if (<=.f64 z -8798340879107785/43556142965880123323311949751266331066368) z (if (<=.f64 z 1879667612850941/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 x 1/2) (if (<=.f64 z 8838154641319583/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376) z (if (<=.f64 z 589999999999999981051138178947026518016) (.f64 x 1/2) z))))
z

Compiler

Compiled 134 to 92 computations (31.3% saved)

soundness130.0ms (4.1%)

Algorithm

2×	egg-herbie

Rules

1674×	`associate-*r/`
890×	`associate-+l+`
886×	`+-commutative`
856×	`associate-+r+`
564×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	21
2	26	21
3	29	21
0	362	7818
1	1087	7392
2	4730	7384

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 135 to 89 computations (34.1% saved)

end85.0ms (2.7%)

Compiler: Compiled 116 to 73 computations (37.1% saved)

Iter	Nodes	Cost
0	63	271
1	99	267
2	130	267
3	172	267
4	219	267
5	246	267
6	268	267
7	276	267
8	278	267

Iter	Nodes	Cost
0	63	271
1	99	267
2	130	267
3	172	267
4	219	267
5	246	267
6	268	267
7	276	267
8	278	267

Details

analyze282.0ms (8.9%)

sample1.3s (40.8%)

preprocess16.0ms (0.5%)

simplify11.0ms (0.4%)

eval4.0ms (0.1%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite84.0ms (2.7%)

simplify109.0ms (3.5%)

eval74.0ms (2.4%)

prune42.0ms (1.3%)

localize3.0ms (0.1%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.7%)

simplify75.0ms (2.4%)

localize5.0ms (0.2%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite54.0ms (1.7%)

simplify46.0ms (1.5%)

eval14.0ms (0.4%)

prune12.0ms (0.4%)

localize3.0ms (0.1%)

localize7.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes32.0ms (1%)

regimes61.0ms (1.9%)

bsearch24.0ms (0.8%)

regimes65.0ms (2%)

bsearch54.0ms (1.7%)

regimes102.0ms (3.2%)

bsearch28.0ms (0.9%)

regimes51.0ms (1.6%)

bsearch57.0ms (1.8%)

regimes94.0ms (3%)

bsearch133.0ms (4.2%)

simplify20.0ms (0.6%)

soundness130.0ms (4.1%)

end85.0ms (2.7%)

Profiling

Iter	Nodes	Cost
0	63	271
1	99	267
2	130	267
3	172	267
4	219	267
5	246	267
6	268	267
7	276	267
8	278	267