Details

analyze42.0ms (0.5%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample579.0ms (6.6%)

Results

567.0ms	8256×	body	256	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess3.0s (34.7%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 y x) y)

Outputs
(+.f64 (+.f64 x y) x)
(+.f64 (+.f64 y x) y)
(+.f64 (+.f64 x y) y)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify1.5s (16.7%)

Algorithm

1×

egglog

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)

Outputs
(+.f64 (+.f64 x y) x)

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 x y) x)

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 525 to 315 computations (40% saved)

rewrite1.5s (16.7%)

Algorithm

1×	batch-egg-rewrite

Rules

53× egg-rr

Counts

1 → 53

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) x)

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

Outputs

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

simplify2.0s (23.2%)

Algorithm

1×

egglog

Counts

77 → 72

Calls

Call 1

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

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

eval16.0ms (0.2%)

Compiler: Compiled 1285 to 512 computations (60.2% saved)

prune12.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Error

Counts

73 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (+.f64 x x) y)
▶	28.2b	(*.f64 x 2)
	35.5b	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (+.f64 x x) y)
✓	28.2b	(*.f64 x 2)
	35.5b	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (+.f64 x x) y)
✓	28.2b	(*.f64 x 2)
	35.5b	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (+.f64 x x) y)
✓	28.2b	(*.f64 x 2)
	35.5b	y

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 (+.f64 x x) y)

Calls

3 calls:

4.0ms	(+.f64 (+.f64 x y) x)
4.0ms	y
4.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 29 to 16 computations (44.8% saved)

regimes25.0ms (0.3%)

Accuracy

Total -47.2b remaining (-327.1%)

Threshold costs -47.2b (-327.1%)

Counts

2 → 5

Calls

Call 1

Inputs
y
(*.f64 x 2)

Outputs
(*.f64 x 2)
y
(*.f64 x 2)
y
(*.f64 x 2)

Calls

2 calls:

16.0ms	x
8.0ms	y

Results

Error	Segments	Branch
14.4b	5	`x`
15.4b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch31.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
5.0ms	1.53539080395896e+107	3.013987488804412e+107
10.0ms	1.9473083728205865e+84	3.42983734425268e+86
7.0ms	5.737354530854884e-5	0.0001573801278902892
8.0ms	-4.290643421195651e-45	-3.712241214107234e-46

Results

27.0ms

352×

body

256

valid

Compiler

Compiled 232 to 184 computations (20.7% saved)

simplify1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 39 to 26 computations (33.3% saved)

soundness0.0ms (0%)

end24.0ms (0.3%)

Compiler: Compiled 35 to 22 computations (37.1% saved)

Details

analyze42.0ms (0.5%)

sample579.0ms (6.6%)

preprocess3.0s (34.7%)

simplify1.5s (16.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite1.5s (16.7%)

simplify2.0s (23.2%)

eval16.0ms (0.2%)

prune12.0ms (0.1%)

localize3.0ms (0%)

localize5.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes13.0ms (0.1%)

regimes25.0ms (0.3%)

bsearch31.0ms (0.4%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end24.0ms (0.3%)

Profiling