Details

analyze281.0ms (9.8%)

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)

sample1.2s (42.8%)

Results

1.1s	8254×	body	256	valid
74.0ms	588×	body	256	infinite
0.0ms	2×	body	512	valid

Bogosity

preprocess209.0ms (7.3%)

Algorithm

2×

egglog

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify67.0ms (2.3%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x (+.f64 y 1/2) z)
▶	0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 21 to 14 computations (33.3% saved)

localize22.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

series18.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 760 to 430 computations (43.4% saved)

rewrite116.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

51× egg-rr

Counts

1 → 51

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (pow.f64 (.f64 y x) 2)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y x) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 x x) 1/4)) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 y y)) x) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y x) 1 (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 y)) (cbrt.f64 (.f64 y y)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 y x)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) y) (.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)) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (.f64 x (sqrt.f64 1/2)) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (/.f64 x (cbrt.f64 4)) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/2) 1 (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 1/8)) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 x) (sqrt.f64 1/2)) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 1/2)) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -1/2 (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x (-.f64 1/2 y)) 0) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) 1/4)) (.f64 x (-.f64 y 1/2))) (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x (-.f64 y 1/2)) 0) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) 1/4)) (.f64 x (-.f64 y 1/2))) (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4)) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 y x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x 1/2) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y x) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y x) (.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) 2) (cbrt.f64 (.f64 x (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (-.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 x (.f64 1/2 (.f64 y x)))))) (+.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (-.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x (.f64 1/2 (.f64 y x)))))) (+.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (+.f64 1/2 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (+.f64 (.f64 (cbrt.f64 (.f64 x x)) y) (cbrt.f64 (.f64 (.f64 x x) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (.f64 (.f64 x x) 1/8)) (.f64 (cbrt.f64 (.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 1/2 y)) 1)))) (#(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 (.f64 x (+.f64 1/2 y)) 1)))) (#(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 cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 y y)) x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (*.f64 y x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) y) (*.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)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (/.f64 x (cbrt.f64 4)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 1/8)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) -1/2 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (-.f64 1/2 y)) 0) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) 1/4)) (*.f64 x (-.f64 y 1/2))) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (-.f64 y 1/2)) 0) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) 1/4)) (*.f64 x (-.f64 y 1/2))) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (*.f64 y x) (*.f64 x (-.f64 y 1/2)) (*.f64 (*.f64 x x) 1/4)) 0) (/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y x) (*.f64 x (-.f64 y 1/2)) (*.f64 (*.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 y x) 0) (/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y x) (*.f64 x (-.f64 y 1/2)) (*.f64 (*.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x 1/2) 0) (/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y x) (*.f64 x (-.f64 y 1/2)) (*.f64 (*.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (*.f64 x (*.f64 1/2 (*.f64 y x)))))) (+.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (-.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x (*.f64 1/2 (*.f64 y x)))))) (+.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 1/2 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (*.f64 (cbrt.f64 (*.f64 x x)) y) (cbrt.f64 (*.f64 (*.f64 x x) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/8)) (*.f64 (cbrt.f64 (*.f64 x x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/2 y)) 1)))) (#(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 (*.f64 x (+.f64 1/2 y)) 1)))) (#(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 cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))))))

simplify212.0ms (7.4%)

Algorithm

1×

egglog

Counts

75 → 60

Calls

Call 1

Inputs
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 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))
(fma.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (pow.f64 (.f64 y x) 2)) (*.f64 x 1/2))
(fma.f64 1 (.f64 y x) (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 y x))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 x x) 1/4)) (.f64 y x))
(fma.f64 x 1/2 (*.f64 y x))
(fma.f64 (.f64 y (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 y y)) x) (*.f64 x 1/2))
(fma.f64 (.f64 y x) 1 (.f64 x 1/2))
(fma.f64 (.f64 x (cbrt.f64 y)) (cbrt.f64 (.f64 y y)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 y x)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) y) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (.f64 y x))
(fma.f64 (sqrt.f64 1/2) (.f64 x (sqrt.f64 1/2)) (.f64 y x))
(fma.f64 (cbrt.f64 1/2) (/.f64 x (cbrt.f64 4)) (*.f64 y x))
(fma.f64 (.f64 x 1/2) 1 (.f64 y x))
(fma.f64 1/2 x (*.f64 y x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 1/8)) (*.f64 y x))
(fma.f64 (.f64 (cbrt.f64 x) (sqrt.f64 1/2)) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 1/2)) (.f64 y x))
(fma.f64 (neg.f64 x) -1/2 (*.f64 y x))
(if (!=.f64 (.f64 x (-.f64 1/2 y)) 0) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) 1/4)) (.f64 x (-.f64 y 1/2))) (.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 x (-.f64 y 1/2)) 0) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) 1/4)) (.f64 x (-.f64 y 1/2))) (.f64 x (+.f64 1/2 y)))
(if (!=.f64 (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4)) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 y x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 y x))
(+.f64 (.f64 y x) (.f64 x 1/2))
(-.f64 (.f64 y x) (.f64 x -1/2))
(.f64 1 (.f64 x (+.f64 1/2 y)))
(.f64 (.f64 x (+.f64 1/2 y)) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))))
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)))
(.f64 (+.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (-.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 x (.f64 1/2 (.f64 y x)))))) (+.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (*.f64 y x))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (-.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x (.f64 1/2 (.f64 y x)))))) (+.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2) 2))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y)))
(.f64 x (.f64 (+.f64 1/2 y) 1))
(.f64 (cbrt.f64 x) (+.f64 (.f64 (cbrt.f64 (.f64 x x)) y) (cbrt.f64 (.f64 (*.f64 x x) 1/8))))
(.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (.f64 (.f64 x x) 1/8)) (.f64 (cbrt.f64 (*.f64 x x)) y)))
(/.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))

Outputs
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.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 (.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 (.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 (.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))
(fma.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (pow.f64 (.f64 y x) 2)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (.f64 y x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (.f64 x 1/2) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 y x (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x y (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 (.f64 x x) 1/4)) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 y (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 y) (.f64 (cbrt.f64 (.f64 y y)) x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 y x) 1 (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x (cbrt.f64 y)) (cbrt.f64 (.f64 y y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 y x)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) y) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x 1/2)) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 1/2) (.f64 x (sqrt.f64 1/2)) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 1/2) (/.f64 x (cbrt.f64 4)) (*.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x 1/2) 1 (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1/2 x (*.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 1/8)) (*.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 (cbrt.f64 x) (sqrt.f64 1/2)) (.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 1/2)) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (neg.f64 x) -1/2 (*.f64 y x))
(*.f64 x (+.f64 1/2 y))
(if (!=.f64 (.f64 x (-.f64 1/2 y)) 0) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) 1/4)) (.f64 x (-.f64 y 1/2))) (.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 x (-.f64 1/2 y)) 0) (/.f64 (.f64 x (.f64 x (fma.f64 y y -1/4))) (.f64 x (+.f64 y -1/2))) (*.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 x (-.f64 y 1/2)) 0) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) 1/4)) (.f64 x (-.f64 y 1/2))) (.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 x (+.f64 y -1/2)) 0) (/.f64 (.f64 x (.f64 x (fma.f64 y y -1/4))) (.f64 x (+.f64 y -1/2))) (*.f64 x (+.f64 1/2 y)))
(if (!=.f64 (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4)) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (.f64 x (+.f64 1/2 y)))
(if (!=.f64 (fma.f64 (.f64 y x) (.f64 x (+.f64 y -1/2)) (.f64 (.f64 x x) 1/4)) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (+.f64 y -1/2)) (.f64 (.f64 x x) 1/4))) (.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 y x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 y x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (+.f64 y -1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))
(if (!=.f64 (.f64 1/2 x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (+.f64 y -1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 x (+.f64 1/2 y)))
(+.f64 (.f64 x 1/2) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 y x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(-.f64 (.f64 y x) (.f64 x -1/2))
(*.f64 x (+.f64 1/2 y))
(.f64 1 (.f64 x (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(.f64 (.f64 x (+.f64 1/2 y)) 1)
(*.f64 x (+.f64 1/2 y))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2))
(*.f64 x (+.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y)))))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)))
(*.f64 x (+.f64 1/2 y))
(.f64 (+.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (-.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (cbrt.f64 (.f64 x (.f64 1/2 (.f64 y x)))))) (+.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (*.f64 y x))))
(*.f64 x (+.f64 1/2 y))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (-.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (.f64 x (.f64 1/2 (.f64 y x)))))) (+.f64 (cbrt.f64 (.f64 y x)) (cbrt.f64 (*.f64 x 1/2))))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y)))) 2) 2))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(.f64 x (.f64 (+.f64 1/2 y) 1))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 x) (+.f64 (.f64 (cbrt.f64 (.f64 x x)) y) (cbrt.f64 (.f64 (*.f64 x x) 1/8))))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (.f64 (.f64 x x) 1/8)) (.f64 (cbrt.f64 (*.f64 x x)) y)))
(*.f64 x (+.f64 1/2 y))
(/.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(*.f64 x (+.f64 1/2 y))

localize13.0ms (0.5%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

eval31.0ms (1.1%)

Compiler: Compiled 1049 to 596 computations (43.2% saved)

prune17.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	59	3	62

Error

Counts

62 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (*.f64 (+.f64 1/2 y) x) z)
▶	18.2b	(+.f64 (*.f64 y x) z)
▶	20.3b	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize14.0ms (0.5%)

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

localize9.0ms (0.3%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize16.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series8.0ms (0.3%)

Counts

1 → 12

Calls

6 calls:

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

Compiler

Compiled 380 to 170 computations (55.3% saved)

rewrite96.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

62× egg-rr

Counts

1 → 62

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/8 (pow.f64 y 3)) 0) (/.f64 x (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (+.f64 1/8 (pow.f64 y 3)))) (.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x)) (.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/16 (.f64 (.f64 y (+.f64 y -1/2)) (-.f64 (.f64 y (+.f64 y -1/2)) 1/4))) 0) (.f64 (/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (.f64 y (+.f64 y -1/2)) 3))) (+.f64 1/16 (.f64 (.f64 y (+.f64 y -1/2)) (-.f64 (.f64 y (+.f64 y -1/2)) 1/4)))) (.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if 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(+.f64 1/2 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 x x)) (+.f64 1/2 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 1/2 y) (cbrt.f64 x)) 1) (cbrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 1/2 y) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (.f64 x x)) (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/8 (pow.f64 y 3)) (.f64 (/.f64 1 (fma.f64 y (+.f64 y -1/2) 1/4)) x))))) 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(pow.f64 y 3)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) 1) (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (cbrt.f64 (.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) (.f64 x (cbrt.f64 (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 y (+.f64 y -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (cbrt.f64 (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (cbrt.f64 (+.f64 1/2 y))) 1) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) 1) (fma.f64 y (+.f64 y -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 -1/8 (neg.f64 (pow.f64 y 3)))) (+.f64 -1/4 (.f64 y (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/8 (neg.f64 (pow.f64 y 3))) x) (+.f64 -1/4 (.f64 y (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 y 3))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x)) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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 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 pow.f64 (.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/8 (pow.f64 y 3)) 0) (/.f64 x (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (+.f64 1/8 (pow.f64 y 3)))) (*.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x)) (*.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/16 (*.f64 (*.f64 y (+.f64 y -1/2)) (-.f64 (*.f64 y (+.f64 y -1/2)) 1/4))) 0) (*.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 y -1/2)) 3))) (+.f64 1/16 (*.f64 (*.f64 y (+.f64 y -1/2)) (-.f64 (*.f64 y (+.f64 y -1/2)) 1/4)))) (*.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule 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(*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (*.f64 (*.f64 x y) (*.f64 x 1/2))))) (*.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 x y) (*.f64 x 1/2)) 0) (/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (-.f64 (*.f64 x y) (*.f64 x 1/2))) (*.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 y)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 y 3)) (*.f64 (/.f64 1 (fma.f64 y (+.f64 y -1/2) 1/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 y)) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2) 2) (cbrt.f64 (*.f64 (+.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) 1) (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (+.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) (*.f64 x (cbrt.f64 (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 y (+.f64 y -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) 1) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) 1) (fma.f64 y (+.f64 y -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1/8 (neg.f64 (pow.f64 y 3)))) (+.f64 -1/4 (*.f64 y (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (neg.f64 (pow.f64 y 3))) x) (+.f64 -1/4 (*.f64 y (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x)) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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 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 pow.f64 (*.f64 (+.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))))))

simplify306.0ms (10.7%)

Algorithm

1×

egglog

Counts

74 → 74

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))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 x 1/2 (*.f64 x y))
(if (!=.f64 (+.f64 1/8 (pow.f64 y 3)) 0) (/.f64 x (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (+.f64 1/8 (pow.f64 y 3)))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 x 0) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x)) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (+.f64 1/16 (.f64 (.f64 y (+.f64 y -1/2)) (-.f64 (.f64 y (+.f64 y -1/2)) 1/4))) 0) (.f64 (/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (.f64 y (+.f64 y -1/2)) 3))) (+.f64 1/16 (.f64 (.f64 y (+.f64 y -1/2)) (-.f64 (.f64 y (+.f64 y -1/2)) 1/4)))) (.f64 (+.f64 1/2 y) x))
(if (!=.f64 (-.f64 (.f64 x 1/2) (.f64 x y)) 0) (/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x 1/2) (.f64 x y))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x y)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x y))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x 1/2))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x y) 0) (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x 1/2))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x y) 0) (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x y))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x y))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x 1/2))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (-.f64 (.f64 x y) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (-.f64 (.f64 x y) (.f64 x 1/2))) (*.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 x y) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(.f64 (.f64 (+.f64 1/2 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (+.f64 1/2 y)) (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x) (cbrt.f64 (+.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 1/2 y) (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y)) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2))
(.f64 (.f64 (.f64 (+.f64 1/2 y) (cbrt.f64 x)) 1) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (+.f64 1/2 y)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (.f64 x x)) (+.f64 1/2 y))))
(.f64 (+.f64 1/8 (pow.f64 y 3)) (.f64 (/.f64 1 (fma.f64 y (+.f64 y -1/2) 1/4)) x))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))
(.f64 (cbrt.f64 (+.f64 1/2 y)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2) 2) (cbrt.f64 (*.f64 (+.f64 1/2 y) x))))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2)))
(*.f64 (/.f64 x 1) (+.f64 1/2 y))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2)))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) 1) (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)))
(.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (+.f64 1/2 y) x)))
(.f64 (.f64 x (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) (.f64 x (cbrt.f64 (+.f64 1/2 y))))
(.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 y (+.f64 y -1/2) 1/4)))
(.f64 (.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))
(.f64 (.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2) 2))
(.f64 (.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) 1) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2) 2))
(.f64 1 (.f64 (+.f64 1/2 y) x))
(.f64 (.f64 (+.f64 1/2 y) x) 1)
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) 1) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2))
(/.f64 (.f64 x (+.f64 -1/8 (neg.f64 (pow.f64 y 3)))) (+.f64 -1/4 (.f64 y (-.f64 1/2 y))))
(/.f64 (.f64 (+.f64 -1/8 (neg.f64 (pow.f64 y 3))) x) (+.f64 -1/4 (.f64 y (-.f64 1/2 y))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 y 3))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x)) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (neg.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3)))) (+.f64 -1/4 (.f64 y (-.f64 1/2 y))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)
(pow.f64 (*.f64 (+.f64 1/2 y) x) 1)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 x y (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 y x (*.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(fma.f64 x 1/2 (*.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(if (!=.f64 (+.f64 1/8 (pow.f64 y 3)) 0) (/.f64 x (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (+.f64 1/8 (pow.f64 y 3)))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 x 0) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x)) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (+.f64 1/16 (.f64 (.f64 y (+.f64 y -1/2)) (-.f64 (.f64 y (+.f64 y -1/2)) 1/4))) 0) (.f64 (/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (.f64 y (+.f64 y -1/2)) 3))) (+.f64 1/16 (.f64 (.f64 y (+.f64 y -1/2)) (-.f64 (.f64 y (+.f64 y -1/2)) 1/4)))) (.f64 (+.f64 1/2 y) x))
(if (!=.f64 (fma.f64 (fma.f64 y (+.f64 y -1/2) -1/4) (.f64 y (+.f64 y -1/2)) 1/16) 0) (/.f64 (.f64 x (.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 (fma.f64 y (+.f64 y -1/2) -1/4) (.f64 y (+.f64 y -1/2)) 1/16))) (+.f64 1/64 (pow.f64 (.f64 y (+.f64 y -1/2)) 3))) (.f64 (+.f64 1/2 y) x))
(if (!=.f64 (-.f64 (.f64 x 1/2) (.f64 x y)) 0) (/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x y))) (-.f64 (.f64 x 1/2) (.f64 x y))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x (-.f64 1/2 y)) 0) (/.f64 (.f64 (.f64 x x) (fma.f64 y y -1/4)) (.f64 x (-.f64 y 1/2))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x y)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x y))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4)) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (.f64 (+.f64 1/2 y) x))
(if (!=.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x 1/2))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4)) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x y) 0) (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x 1/2))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 y x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x y) 0) (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x y))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 y x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x y))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 1/2 x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (.f64 x 1/2))))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 1/2 x) 0) (/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 y x) (.f64 x (-.f64 y 1/2)) (.f64 (.f64 x x) 1/4))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (-.f64 (.f64 x y) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (-.f64 (.f64 x y) (.f64 x 1/2))) (*.f64 (+.f64 1/2 y) x))
(if (!=.f64 (.f64 x (-.f64 y 1/2)) 0) (/.f64 (.f64 (.f64 x x) (fma.f64 y y -1/4)) (.f64 x (-.f64 y 1/2))) (*.f64 (+.f64 1/2 y) x))
(+.f64 (.f64 x y) (.f64 x 1/2))
(*.f64 (+.f64 1/2 y) x)
(+.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (+.f64 1/2 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (+.f64 1/2 y)) (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 1/2 y) (cbrt.f64 x)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 1/2 y)) (cbrt.f64 x))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (.f64 (+.f64 1/2 y) (cbrt.f64 x)) 1) (cbrt.f64 (.f64 x x)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (.f64 x x)) (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (+.f64 1/8 (pow.f64 y 3)) (.f64 (/.f64 1 (fma.f64 y (+.f64 y -1/2) 1/4)) x))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (+.f64 1/2 y)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2) 2) (cbrt.f64 (*.f64 (+.f64 1/2 y) x))))
(*.f64 (+.f64 1/2 y) x)
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(*.f64 (/.f64 x 1) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) 1) (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (+.f64 1/2 y) x)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 x (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) (.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (/.f64 1 (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(.f64 (.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 y))) 2) 2))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (*.f64 x (cbrt.f64 (+.f64 1/2 y))) 1) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1/2 y) x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x))) 2) 2))
(*.f64 (+.f64 1/2 y) x)
(.f64 1 (.f64 (+.f64 1/2 y) x))
(*.f64 (+.f64 1/2 y) x)
(.f64 (.f64 (+.f64 1/2 y) x) 1)
(*.f64 (+.f64 1/2 y) x)
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) 1) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)) 2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (.f64 x (+.f64 -1/8 (neg.f64 (pow.f64 y 3)))) (+.f64 -1/4 (.f64 y (-.f64 1/2 y))))
(/.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 (-.f64 1/2 y) y -1/4))
(/.f64 (.f64 (+.f64 -1/8 (neg.f64 (pow.f64 y 3))) x) (+.f64 -1/4 (.f64 y (-.f64 1/2 y))))
(/.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 (-.f64 1/2 y) y -1/4))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 y 3))) (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2)) x)) (cbrt.f64 (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (neg.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3)))) (+.f64 -1/4 (.f64 y (-.f64 1/2 y))))
(/.f64 (*.f64 (neg.f64 x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (-.f64 1/2 y) y -1/4))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 y) x)) 3)
(*.f64 (+.f64 1/2 y) x)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3) 1/3)
(*.f64 (+.f64 1/2 y) x)
(pow.f64 (*.f64 (+.f64 1/2 y) x) 1)
(*.f64 (+.f64 1/2 y) x)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 y) x) 3))
(*.f64 (+.f64 1/2 y) x)

eval34.0ms (1.2%)

Compiler: Compiled 1658 to 1047 computations (36.9% saved)

prune11.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	3	77

Error

Counts

77 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (*.f64 (+.f64 1/2 y) x) z)
✓	18.2b	(+.f64 (*.f64 y x) z)
✓	20.3b	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes46.0ms (1.6%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
8.0ms	y
6.0ms	z
6.0ms	x
4.0ms	(+.f64 (/.f64 x 2) (*.f64 y 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 69 to 43 computations (37.7% saved)

regimes43.0ms (1.5%)

Accuracy

Total -36.3b remaining (-3294.5%)

Threshold costs -36.3b (-3294.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	z
12.0ms	x
8.0ms	y

Results

Error	Segments	Branch
12.8b	3	`x`
1.1b	3	`y`
14.2b	7	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch40.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.2785189335084372e-8	5.089971996030879e-7
22.0ms	-2.136006524147522	-0.2070427610999272

Results

26.0ms

208×

body

256

valid

Compiler

Compiled 252 to 182 computations (27.8% saved)

simplify1.0ms (0.1%)

Stop Event

1×

done

Compiler

Compiled 44 to 27 computations (38.6% saved)

soundness0.0ms (0%)

end27.0ms (0.9%)

Compiler: Compiled 38 to 21 computations (44.7% saved)

Details

analyze281.0ms (9.8%)

sample1.2s (42.8%)

preprocess209.0ms (7.3%)

simplify67.0ms (2.3%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize22.0ms (0.8%)

series18.0ms (0.6%)

rewrite116.0ms (4%)

simplify212.0ms (7.4%)

localize13.0ms (0.5%)

eval31.0ms (1.1%)

prune17.0ms (0.6%)

localize14.0ms (0.5%)

localize9.0ms (0.3%)

localize16.0ms (0.6%)

series8.0ms (0.3%)

rewrite96.0ms (3.4%)

simplify306.0ms (10.7%)

eval34.0ms (1.2%)

prune11.0ms (0.4%)

regimes46.0ms (1.6%)

regimes43.0ms (1.5%)

bsearch40.0ms (1.4%)

simplify1.0ms (0.1%)

soundness0.0ms (0%)

end27.0ms (0.9%)

Profiling