Details

analyze185.0ms (1.4%)

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)

sample815.0ms (6.3%)

Results

750.0ms	8256×	body	256	valid
54.0ms	595×	body	256	infinite

Bogosity

preprocess2.9s (22.5%)

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify1.4s (10.9%)

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 1/2 y) z)

eval1.0ms (0%)

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

prune2.0ms (0%)

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 1/2 y) z)
▶	0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Compiler

Compiled 21 to 14 computations (33.3% saved)

localize18.0ms (0.1%)

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)

series14.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 760 to 430 computations (43.4% saved)

rewrite1.5s (11.4%)

Algorithm

1×	batch-egg-rewrite

Rules

61× egg-rr

Counts

1 → 61

Calls

Call 1

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

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

Outputs

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

simplify2.2s (16.8%)

Algorithm

1×

egglog

Counts

85 → 83

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

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

localize11.0ms (0.1%)

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

eval34.0ms (0.3%)

Compiler: Compiled 1506 to 890 computations (40.9% saved)

prune14.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	82	3	85

Error

Counts

85 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (*.f64 (-.f64 y -1/2) x) z)
▶	16.8b	(+.f64 (*.f64 y x) z)
▶	17.5b	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize6.0ms (0%)

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

localize5.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 680 to 350 computations (48.5% saved)

rewrite1.5s (11.1%)

Algorithm

1×	batch-egg-rewrite

Rules

77× egg-rr

Counts

1 → 77

Calls

Call 1

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

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

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

simplify2.3s (17.4%)

Algorithm

1×

egglog

Counts

101 → 101

Calls

Call 1

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

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

eval35.0ms (0.3%)

Compiler: Compiled 2091 to 1386 computations (33.7% saved)

prune15.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Error

Counts

104 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(+.f64 (*.f64 (-.f64 y -1/2) x) z)
✓	16.8b	(+.f64 (*.f64 y x) z)
✓	17.5b	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes21.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
4.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
4.0ms	y
4.0ms	x
4.0ms	z

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)

regimes33.0ms (0.3%)

Accuracy

Total -31.9b remaining (-2657.8%)

Threshold costs -31.9b (-2657.8%)

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:

16.0ms	z
8.0ms	x
8.0ms	y

Results

Error	Segments	Branch
7.9b	3	`x`
1.2b	3	`y`
8.7b	6	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	1.9866752153767654e-20	1.7860620994475538e-19
12.0ms	-1.7936803311881924e+29	-8.261763578462357e+27

Results

19.0ms	208×	body	256	valid
0.0ms	5×	body	256	infinite

Compiler

Compiled 252 to 182 computations (27.8% saved)

simplify1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 44 to 27 computations (38.6% saved)

soundness0.0ms (0%)

end26.0ms (0.2%)

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

Details

analyze185.0ms (1.4%)

sample815.0ms (6.3%)

preprocess2.9s (22.5%)

simplify1.4s (10.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize18.0ms (0.1%)

series14.0ms (0.1%)

rewrite1.5s (11.4%)

simplify2.2s (16.8%)

localize11.0ms (0.1%)

eval34.0ms (0.3%)

prune14.0ms (0.1%)

localize6.0ms (0%)

localize5.0ms (0%)

localize8.0ms (0.1%)

series6.0ms (0%)

rewrite1.5s (11.1%)

simplify2.3s (17.4%)

eval35.0ms (0.3%)

prune15.0ms (0.1%)

regimes21.0ms (0.2%)

regimes33.0ms (0.3%)

bsearch22.0ms (0.2%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end26.0ms (0.2%)

Profiling