Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample647.0ms (6.9%)

Memory

48.7MiB live, 1 215.5MiB allocated

Samples

352.0ms	7 657×	0	valid
29.0ms	269×	1	valid
23.0ms	212×	2	valid
17.0ms	118×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-div: 78.0ms (36.9% of total)

ival-sub: 54.0ms (25.5% of total)

ival-add: 45.0ms (21.3% of total)

adjust: 21.0ms (9.9% of total)

exact: 6.0ms (2.8% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess60.0ms (0.6%)

Memory

-11.8MiB live, 108.4MiB allocated

Algorithm

2×	egg-herbie

Rules

560×	`accelerator-lowering-fma.f32`
560×	`accelerator-lowering-fma.f64`
208×	`-lowering-.f32`
208×	`-lowering-.f64`
182×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	51	42
2	153	42
3	406	42
4	715	42
5	909	42
6	951	42
0	6	7
1	12	7
2	23	7
3	44	7
4	83	7
5	154	7
6	278	7
7	435	7
8	543	7
9	604	7
10	608	7
0	608	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ x (/ (- x y) 2))

Outputs
(+ x (/ (- x y) 2))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)

Call 2

Inputs
(+ x (/ (- x y) 2))
(+ (neg x) (/ (- (neg x) y) 2))
(+ x (/ (- x (neg y)) 2))
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(neg (+ x (/ (- x (neg y)) 2)))
(+ y (/ (- y x) 2))

Outputs
(+ x (/ (- x y) 2))
(+ (* y -1/2) (* x 3/2))
(+ (neg x) (/ (- (neg x) y) 2))
(- (* (+ x y) -1/2) x)
(+ x (/ (- x (neg y)) 2))
(+ x (* (+ x y) 1/2))
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(+ x (* (+ x y) 1/2))
(neg (+ x (/ (- x (neg y)) 2)))
(- (* (+ x y) -1/2) x)
(+ y (/ (- y x) 2))
(+ (* x -1/2) (* y 3/2))

explain65.0ms (0.7%)

Memory

-4.1MiB live, 154.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (-.f64 x y) #s(literal 2 binary64))`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
-	-	`(-.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

22.0ms	472×	0	valid
2.0ms	20×	2	valid
1.0ms	16×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 4.0ms (33.7% of total)

ival-sub: 3.0ms (25.3% of total)

ival-add: 3.0ms (25.3% of total)

adjust: 1.0ms (8.4% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify29.0ms (0.3%)

Memory

-15.8MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	192	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
✓	cost-diff	320	(/.f64 (-.f64 x y) #s(literal 2 binary64))

Rules

560×	`accelerator-lowering-fma.f32`
560×	`accelerator-lowering-fma.f64`
208×	`-lowering-.f32`
208×	`-lowering-.f64`
128×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	23	18
3	44	18
4	83	18
5	154	18
6	278	18
7	435	18
8	543	18
9	604	18
10	608	18
0	608	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (/ (- x y) 2))
x
(/ (- x y) 2)
(- x y)
y
2

Outputs
(+ x (/ (- x y) 2))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
x
(/ (- x y) 2)
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64))
(- x y)
(-.f64 x y)
y
2
#s(literal 2 binary64)

localize27.0ms (0.3%)

Memory

-14.5MiB live, 50.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	99.8%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

11.0ms	236×	0	valid
1.0ms	10×	2	valid
1.0ms	8×	1	valid
0.0ms	2×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (29.8% of total)

ival-sub: 2.0ms (29.8% of total)

ival-assert: 1.0ms (14.9% of total)

ival-add: 1.0ms (14.9% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (/ (- x y) 2)>
#<alt (+ x (/ (- x y) 2))>
#<alt (- x y)>

Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

18 calls:

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

rewrite398.0ms (4.2%)

Memory

-9.0MiB live, 647.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 050×	`accelerator-lowering-fma.f32`
4 050×	`accelerator-lowering-fma.f64`
3 870×	`-lowering-.f32`
3 870×	`-lowering-.f64`
2 640×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	45	15
2	397	15
3	5077	15
0	8178	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 353

Calls

Call 1

Inputs
(/ (- x y) 2)
(+ x (/ (- x y) 2))
(- x y)

Outputs
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))) (/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (.f64 y y) (.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (-.f64 x y) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 y x) #s(literal -2 binary64))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 x y)))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y)) #s(literal 4 binary64))
(/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) (.f64 #s(literal -2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 #s(literal -2 binary64) (+.f64 x y)))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 x y)))
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simplify257.0ms (2.7%)

Memory

-18.8MiB live, 334.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 504×	`accelerator-lowering-fma.f32`
7 504×	`accelerator-lowering-fma.f64`
2 794×	`-lowering-.f32`
2 794×	`-lowering-.f64`
1 196×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	351
1	176	351
2	487	351
3	1348	315
4	2968	315
5	4585	315
6	6569	315
7	7592	315
0	8078	297

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* y (- (* 1/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ x (* 1/2 x))
(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval60.0ms (0.6%)

Memory: 17.3MiB live, 90.9MiB allocated
Compiler: Compiled 9 026 to 1 113 computations (87.7% saved)

prune80.0ms (0.9%)

Memory

-7.7MiB live, 110.5MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	412	13	425
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	13	426

Accuracy

100.0%

Counts

426 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) x)
	49.7%	(fma.f64 (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	49.9%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
	54.3%	(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))
▶	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
▶	46.9%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
▶	33.1%	(/.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)) (*.f64 x x)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
▶	99.9%	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
	49.7%	(+.f64 x (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	99.7%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
	48.8%	(.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)))

Compiler

Compiled 386 to 214 computations (44.6% saved)

simplify497.0ms (5.3%)

Memory

23.2MiB live, 543.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)) (*.f64 x x)))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))
✓	cost-diff	192	(-.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 x y))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	1472	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
✓	cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) x)
✓	cost-diff	192	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
✓	cost-diff	-64	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 1/2 binary64) x)
✓	cost-diff	384	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))

Rules

14 400×	`accelerator-lowering-fma.f32`
14 400×	`accelerator-lowering-fma.f64`
3 656×	`-lowering-.f32`
3 656×	`-lowering-.f64`
1 892×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	177
1	81	169
2	203	169
3	682	169
4	2850	161
5	5502	161
0	8234	150

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (+ (* x 1/2) x) (* y 1/2))
(+ (* x 1/2) x)
x
1/2
(* y 1/2)
y
(+ (* -1/2 y) 0)
-1/2
y
0
(+ (* x 1/2) (+ (* y -1/2) x))
x
1/2
(+ (* y -1/2) x)
y
-1/2
(+ (* (* (- x y) (+ x y)) (/ 1/2 (+ x y))) x)
(* (- x y) (+ x y))
(- x y)
x
y
(+ x y)
(/ 1/2 (+ x y))
1/2
(/ (+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x))) (+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x)))
(+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x)))
(* (- x y) (* (- x y) (- x y)))
(- x y)
x
y
(* (- x y) (- x y))
1/8
(* x (* x x))
(* x x)
(+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x))
(* 1/2 (- (* (- x y) 1/2) x))
1/2
(- (* (- x y) 1/2) x)
(* (- x y) 1/2)

Outputs
(- (+ (* x 1/2) x) (* y 1/2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(+ (* x 1/2) x)
(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))
x
1/2
#s(literal 1/2 binary64)
(* y 1/2)
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
y
(+ (* -1/2 y) 0)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
y
0
#s(literal 0 binary64)
(+ (* x 1/2) (+ (* y -1/2) x))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
x
1/2
#s(literal 1/2 binary64)
(+ (* y -1/2) x)
(fma.f64 y #s(literal -1/2 binary64) x)
y
-1/2
#s(literal -1/2 binary64)
(+ (* (* (- x y) (+ x y)) (/ 1/2 (+ x y))) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(* (- x y) (+ x y))
(fma.f64 (-.f64 x y) (+.f64 x y) #s(literal 0 binary64))
(- x y)
(-.f64 x y)
x
y
(+ x y)
(+.f64 x y)
(/ 1/2 (+ x y))
(/.f64 #s(literal 1/2 binary64) (+.f64 x y))
1/2
#s(literal 1/2 binary64)
(/ (+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x))) (+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x)))
(/.f64 (fma.f64 (-.f64 x y) (.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1/8 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (-.f64 x y) (fma.f64 x #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x)))
(fma.f64 (-.f64 x y) (.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1/8 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (- x y) (* (- x y) (- x y)))
(.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y)))
(- x y)
(-.f64 x y)
x
y
(* (- x y) (- x y))
(*.f64 (-.f64 x y) (-.f64 x y))
1/8
#s(literal 1/8 binary64)
(* x (* x x))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x))
(fma.f64 (-.f64 x y) (fma.f64 x #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(* 1/2 (- (* (- x y) 1/2) x))
(fma.f64 x #s(literal -1/4 binary64) (fma.f64 y #s(literal -1/4 binary64) #s(literal 0 binary64)))
1/2
#s(literal 1/2 binary64)
(- (* (- x y) 1/2) x)
(fma.f64 #s(literal -1/2 binary64) (+.f64 x y) #s(literal 0 binary64))
(* (- x y) 1/2)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64))

localize338.0ms (3.6%)

Memory

-17.5MiB live, 182.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(fma.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)) (*.f64 x x))
✓	accuracy	96.0%	(fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
✓	accuracy	34.9%	(/.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)) (*.f64 x x)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (+.f64 x y))
✓	accuracy	49.9%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/2 binary64) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	99.9%	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))

Samples

124.0ms	214×	0	valid
61.0ms	29×	2	valid
48.0ms	5×	3	valid
3.0ms	3×	4	valid
2.0ms	5×	1	valid

Compiler

Compiled 200 to 35 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 150.0ms (86.8% of total)

ival-add: 11.0ms (6.4% of total)

ival-sub: 5.0ms (2.9% of total)

ival-div: 4.0ms (2.3% of total)

adjust: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

9.5MiB live, 46.5MiB allocated

Counts

17 → 360

Calls

Call 1

Inputs
#<alt (- (+ (* x 1/2) x) (* y 1/2))>
#<alt (+ (* x 1/2) x)>
#<alt (* y 1/2)>
#<alt (+ (* -1/2 y) 0)>
#<alt (+ (* x 1/2) (+ (* y -1/2) x))>
#<alt (+ (* y -1/2) x)>
#<alt (+ (* (* (- x y) (+ x y)) (/ 1/2 (+ x y))) x)>
#<alt (- x y)>
#<alt (+ x y)>
#<alt (/ 1/2 (+ x y))>
#<alt (- (* (- x y) 1/2) x)>
#<alt (* 1/2 (- (* (- x y) 1/2) x))>
#<alt (/ (+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x))) (+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x)))>
#<alt (+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x)))>
#<alt (* (- x y) (+ x y))>
#<alt (+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x))>
#<alt (* x (* x x))>

Outputs
#<alt (* -1/2 y)>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (- (* 3/2 x) (* 1/2 y))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt x>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (/ 1/2 y)>
#<alt (+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))>
#<alt (+ (* x (- (* 1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/2 (/ y x))) x)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))) x)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow y 3) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/2 (/ y x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow y 2) x)) (* 1/2 y)) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) x)) 1/2) x))>
#<alt (/ 1/2 x)>
#<alt (+ (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt (+ (* y (- (* 1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))>
#<alt (+ (* y (- (* y (+ (* -1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* -1/2 (/ x y))) y)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))) y)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow x 3) (pow y 3)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))) y)>
#<alt (/ 1/2 y)>
#<alt (* -1 (/ (- (* 1/2 (/ x y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) y)) (* 1/2 x)) y)) 1/2) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) y)) 1/2) y))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 x) (* -1/2 y))>
#<alt (+ (* -1/2 x) (* -1/2 y))>
#<alt (+ (* -1/2 x) (* -1/2 y))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/2 (/ y x)) 1/2))>
#<alt (* x (- (* -1/2 (/ y x)) 1/2))>
#<alt (* x (- (* -1/2 (/ y x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))>
#<alt (- (* 1/2 x) x)>
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt (- (+ (* -1/2 y) (* 1/2 x)) x)>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))>
#<alt (* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))>
#<alt (* -1/4 y)>
#<alt (+ (* -1/4 x) (* -1/4 y))>
#<alt (+ (* -1/4 x) (* -1/4 y))>
#<alt (+ (* -1/4 x) (* -1/4 y))>
#<alt (* -1/4 x)>
#<alt (* x (- (* -1/4 (/ y x)) 1/4))>
#<alt (* x (- (* -1/4 (/ y x)) 1/4))>
#<alt (* x (- (* -1/4 (/ y x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/4 (/ y x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/4 (/ y x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/4 (/ y x)))))>
#<alt (* 1/2 (- (* 1/2 x) x))>
#<alt (+ (* -1/4 y) (* 1/2 (- (* 1/2 x) x)))>
#<alt (+ (* -1/4 y) (* 1/2 (- (* 1/2 x) x)))>
#<alt (+ (* -1/4 y) (* 1/2 (- (* 1/2 x) x)))>
#<alt (* -1/4 y)>
#<alt (* y (- (* 1/2 (/ (- (* 1/2 x) x) y)) 1/4))>
#<alt (* y (- (* 1/2 (/ (- (* 1/2 x) x) y)) 1/4))>
#<alt (* y (- (* 1/2 (/ (- (* 1/2 x) x) y)) 1/4))>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* -1/2 (/ (- (* 1/2 x) x) y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1/2 (/ (- (* 1/2 x) x) y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1/2 (/ (- (* 1/2 x) x) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))))>
#<alt (+ (* -1/2 y) (* x (- (+ (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* x (- (+ (* 1/2 (/ (+ (* -2 y) (* -1 y)) (pow y 2))) (* 3/2 (/ 1 y))) (* 2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2)))))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))))>
#<alt (+ (* -1/2 y) (* x (- (+ (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* x (- (+ (* 1/2 (/ (+ (* -2 y) (* -1 y)) (pow y 2))) (+ (* 3/2 (/ 1 y)) (* x (- (* 9/2 (/ 1 (pow y 2))) (+ (* 2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (+ (* 1/2 (/ (+ (* -2 y) (* -1 y)) (pow y 2))) (* 3/2 (/ 1 y))) (* 2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))))) (pow y 2))) (* 3 (/ (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y))) (pow y 2)))))))) (* 2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2)))))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))))>
#<alt (* 3/2 x)>
#<alt (* x (- (+ 3/2 (* 1/6 (/ (+ (* -2 y) (* -1 y)) x))) (+ (* -1/2 (/ y x)) (* 1/2 (/ y x)))))>
#<alt (* x (- (+ 3/2 (+ (* 1/6 (/ (+ (* -2 y) (* -1 y)) x)) (* 1/6 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ y x)) (+ (* 1/2 (/ (pow y 2) (pow x 2))) (* 2/3 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/6 (+ (* -2 y) (* -1 y))) (+ (* -1/2 y) (* 1/2 y)))) (pow x 2))))))))>
#<alt (* x (- (+ 3/2 (+ (* -1/6 (/ (pow y 3) (pow x 3))) (+ (* 1/6 (/ (+ (* -2 y) (* -1 y)) x)) (* 1/6 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))) (+ (* -1/2 (/ y x)) (+ (* 1/3 (/ (* (pow y 2) (- (* 1/6 (+ (* -2 y) (* -1 y))) (+ (* -1/2 y) (* 1/2 y)))) (pow x 3))) (+ (* 1/2 (/ y x)) (+ (* 1/2 (/ (pow y 2) (pow x 2))) (+ (* 2/3 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/6 (+ (* -2 y) (* -1 y))) (+ (* -1/2 y) (* 1/2 y)))) (pow x 2))) (* 2/3 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/6 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* 1/2 (pow y 2)) (* 2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/6 (+ (* -2 y) (* -1 y))) (+ (* -1/2 y) (* 1/2 y)))))))) (pow x 3))))))))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))))) (* -1/2 (pow y 2)))) x)) (* -1/6 (+ y (* 2 y)))) (+ (* -1/2 y) (* 1/2 y))) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow y 3)) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* -1/6 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))))) (* -1/2 (pow y 2)))))) (* 1/3 (* (pow y 2) (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))))))) x)) (* -1/6 (+ (* 2 (pow y 2)) (pow y 2)))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))))) (* -1/2 (pow y 2)))) x)) (* -1/6 (+ y (* 2 y)))) (+ (* -1/2 y) (* 1/2 y))) x)) 3/2)))>
#<alt (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))>
#<alt (+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* y (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))>
#<alt (+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* y (- (+ (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* y (- (* 1/8 (/ (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* 1/4 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))>
#<alt (+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* y (- (+ (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* y (- (+ (* -1 (* y (+ (* 1/8 (/ 1 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* 1/4 (/ (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2)))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/8 (/ (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* 1/4 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))))) (* 1/8 (/ (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (+ (* 1/4 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ (+ x (* 2 x)) y)) (+ 1/2 (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)))))>
#<alt (* y (- (+ (* 1/2 (/ (+ x (* 2 x)) y)) (* 1/2 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2)))) (+ 1/2 (+ (* -2 (/ (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) (pow y 2))) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (* 2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/2 (+ x (* 2 x))) (* -1 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow y 2))))))))>
#<alt (* y (- (+ (* 1/2 (/ (+ x (* 2 x)) y)) (+ (* 1/2 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (* 4 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (pow y 3))))) (+ 1/2 (+ (* -2 (/ (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) (pow y 2))) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (+ (* 2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/2 (+ x (* 2 x))) (* -1 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow y 2))) (+ (* 2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/2 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (+ (* -2 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (* 2 (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/2 (+ x (* 2 x))) (* -1 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))))))) (pow y 3))) (* 4 (/ (* (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) (- (* 1/2 (+ x (* 2 x))) (* -1 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow y 3))))))))))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (+ x (* 2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* 2 (pow x 2)) (pow x 2))) (* 2 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) y)) (* 1/2 (+ x (* 2 x)))) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (+ (* 1/8 (pow x 3)) (pow x 3))) (* 2 (* (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) y)) (* 1/2 (+ (* 2 (pow x 2)) (pow x 2)))) (* 2 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) y)) (* 1/2 (+ x (* 2 x)))) y)))))>
#<alt (* -1/8 (pow y 3))>
#<alt (+ (* -1/8 (pow y 3)) (* 1/8 (* x (+ (* 2 (pow y 2)) (pow y 2)))))>
#<alt (+ (* -1/8 (pow y 3)) (* x (+ (* 1/8 (* x (+ (* -2 y) (* -1 y)))) (* 1/8 (+ (* 2 (pow y 2)) (pow y 2))))))>
#<alt (+ (* -1/8 (pow y 3)) (* x (+ (* 1/8 (+ (* 2 (pow y 2)) (pow y 2))) (* x (+ (* 1/8 (+ (* -2 y) (* -1 y))) (* 9/8 x))))))>
#<alt (* 9/8 (pow x 3))>
#<alt (* (pow x 3) (+ 9/8 (* 1/8 (/ (+ (* -2 y) (* -1 y)) x))))>
#<alt (* (pow x 3) (+ 9/8 (+ (* 1/8 (/ (+ (* -2 y) (* -1 y)) x)) (* 1/8 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))))>
#<alt (* (pow x 3) (+ 9/8 (+ (* -1/8 (/ (pow y 3) (pow x 3))) (+ (* 1/8 (/ (+ (* -2 y) (* -1 y)) x)) (* 1/8 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))))>
#<alt (* 9/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ (+ y (* 2 y)) x)) 9/8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1/8 (+ y (* 2 y))) (* 1/8 (/ (+ (* 2 (pow y 2)) (pow y 2)) x))) x)) 9/8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* 2 (pow y 2)) (pow y 2))) (* 1/8 (/ (pow y 3) x))) x)) (* -1/8 (+ y (* 2 y)))) x)) 9/8)))>
#<alt (+ (* 1/8 (pow x 3)) (pow x 3))>
#<alt (+ (* 1/8 (* y (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) (+ (* 1/8 (pow x 3)) (pow x 3)))>
#<alt (+ (* 1/8 (pow x 3)) (+ (* y (+ (* 1/8 (* y (+ x (* 2 x)))) (* 1/8 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) (pow x 3)))>
#<alt (+ (* 1/8 (pow x 3)) (+ (* y (+ (* 1/8 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* y (+ (* -1/8 y) (* 1/8 (+ x (* 2 x))))))) (pow x 3)))>
#<alt (* -1/8 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/8 (/ (+ x (* 2 x)) y)) 1/8))>
#<alt (* (pow y 3) (- (+ (* 1/8 (/ (+ x (* 2 x)) y)) (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2)))) 1/8))>
#<alt (* (pow y 3) (- (+ (* 1/8 (/ (+ x (* 2 x)) y)) (+ (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (+ (* 1/8 (/ (pow x 3) (pow y 3))) (/ (pow x 3) (pow y 3))))) 1/8))>
#<alt (* -1/8 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/8 (* -1/8 (/ (+ x (* 2 x)) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/8 (* -1 (/ (+ (* -1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)) (* 1/8 (+ x (* 2 x)))) y)))))>
#<alt (* -1 (* (pow y 3) (+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) y)) (* 1/8 (+ (* 2 (pow x 2)) (pow x 2)))) y)) (* 1/8 (+ x (* 2 x)))) y)))))>
#<alt (* -1 (pow y 2))>
#<alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))>
#<alt (pow x 2)>
#<alt (+ (* y (+ x (* -1 x))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))>
#<alt (* 1/4 (pow y 2))>
#<alt (+ (* 1/4 (pow y 2)) (* 1/2 (* x (+ (* -1/2 y) (* 1/2 y)))))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* 1/2 (+ (* -1/2 y) (* 1/2 y))) (* 3/4 x))))>
#<alt (+ (* 1/4 (pow y 2)) (* x (+ (* 1/2 (+ (* -1/2 y) (* 1/2 y))) (* 3/4 x))))>
#<alt (* 3/4 (pow x 2))>
#<alt (* (pow x 2) (+ 3/4 (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x))))>
#<alt (* (pow x 2) (+ 3/4 (+ (* 1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x)))))>
#<alt (* (pow x 2) (+ 3/4 (+ (* 1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x)))))>
#<alt (* 3/4 (pow x 2))>
#<alt (* (pow x 2) (+ 3/4 (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x))))>
#<alt (* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* -1/4 (/ (pow y 2) x))) x))))>
#<alt (* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* -1/4 (/ (pow y 2) x))) x))))>
#<alt (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))>
#<alt (+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* 1/2 (* y (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)))) (pow x 2)))>
#<alt (+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* y (+ (* 1/4 y) (* 1/2 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow x 2)))>
#<alt (+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* y (+ (* 1/4 y) (* 1/2 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow x 2)))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (/ (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (/ (pow x 2) (pow y 2))))))>
#<alt (* 1/4 (pow y 2))>
#<alt (* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

90 calls:

Time	Variable		Point	Expression
10.0ms	y	@	-inf	(* (- x y) (+ x y))
2.0ms	y	@	0	(/ (+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x))) (+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x)))
2.0ms	x	@	inf	(+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x))
2.0ms	x	@	0	(/ (+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x))) (+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x)))
1.0ms	y	@	inf	(/ (+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x))) (+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x)))

rewrite810.0ms (8.6%)

Memory

21.2MiB live, 1 421.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 892×	`accelerator-lowering-fma.f32`
7 892×	`accelerator-lowering-fma.f64`
5 936×	`/-lowering-/.f32`
5 936×	`/-lowering-/.f64`
5 610×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	137
1	216	129
2	2162	129
0	9579	121

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 2 369

Calls

Call 1

Inputs
(- (+ (* x 1/2) x) (* y 1/2))
(+ (* x 1/2) x)
(* y 1/2)
(+ (* -1/2 y) 0)
(+ (* x 1/2) (+ (* y -1/2) x))
(+ (* y -1/2) x)
(+ (* (* (- x y) (+ x y)) (/ 1/2 (+ x y))) x)
(- x y)
(+ x y)
(/ 1/2 (+ x y))
(- (* (- x y) 1/2) x)
(* 1/2 (- (* (- x y) 1/2) x))
(/ (+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x))) (+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x)))
(+ (* (* (- x y) (* (- x y) (- x y))) 1/8) (* x (* x x)))
(* (- x y) (+ x y))
(+ (* (- x y) (* 1/2 (- (* (- x y) 1/2) x))) (* x x))
(* x (* x x))

Outputs
(+.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)))
(+.f64 x (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) x) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) x))) (/.f64 (.f64 (fma.f64 y #s(literal -1/2 binary64) x) (fma.f64 y #s(literal -1/2 binary64) x)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)) #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 9/4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))))) (-.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1/8 binary64)))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64) (.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1/8 binary64)))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64) (*.f64 x (-.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)))))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 x x))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 x x)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1/8 binary64)))) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (neg.f64 (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x))))) (neg.f64 (-.f64 (.f64 x x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x))))) (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1/8 binary64)))) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 x x)) (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (.f64 (-.f64 x y) #s(literal 1/8 binary64)))) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)))))))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 x y) (-.f64 x y)) #s(literal 1/4 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 x y) #s(literal 0 binary64)) x)) (*.f64 x x))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify690.0ms (7.3%)

Memory

-11.5MiB live, 928.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 604×	`accelerator-lowering-fma.f32`
12 604×	`accelerator-lowering-fma.f64`
5 942×	`-lowering-.f32`
5 942×	`-lowering-.f64`
4 688×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	714	4831
1	2377	3953
0	8943	3681

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

Inputs
(* -1/2 y)
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(- (* 3/2 x) (* 1/2 y))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
x
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(* -1/2 y)
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1/2 y)
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
x
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (* -1/2 (/ y x))))
x
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(/ 1/2 y)
(+ (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))
(+ (* x (- (* 1/2 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))
(+ (* x (- (* x (+ (* -1/2 (/ x (pow y 4))) (* 1/2 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))
(/ 1/2 x)
(/ (+ 1/2 (* -1/2 (/ y x))) x)
(/ (- (+ 1/2 (* 1/2 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))) x)
(/ (- (+ 1/2 (* -1/2 (/ (pow y 3) (pow x 3)))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/2 (/ y x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow y 2) x)) (* 1/2 y)) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow y 3) x)) (* 1/2 (pow y 2))) x)) (* 1/2 y)) x)) 1/2) x))
(/ 1/2 x)
(+ (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 x)))
(+ (* y (- (* 1/2 (/ y (pow x 3))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(+ (* y (- (* y (+ (* -1/2 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 3))))) (* 1/2 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(/ 1/2 y)
(/ (+ 1/2 (* -1/2 (/ x y))) y)
(/ (- (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))) (* 1/2 (/ x y))) y)
(/ (- (+ 1/2 (* -1/2 (/ (pow x 3) (pow y 3)))) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))) y)
(/ 1/2 y)
(* -1 (/ (- (* 1/2 (/ x y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) y)) (* 1/2 x)) y)) 1/2) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 3) y)) (* 1/2 (pow x 2))) y)) (* 1/2 x)) y)) 1/2) y))
(* -1/2 y)
(+ (* -1/2 x) (* -1/2 y))
(+ (* -1/2 x) (* -1/2 y))
(+ (* -1/2 x) (* -1/2 y))
(* -1/2 x)
(* x (- (* -1/2 (/ y x)) 1/2))
(* x (- (* -1/2 (/ y x)) 1/2))
(* x (- (* -1/2 (/ y x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(* -1 (* x (+ 1/2 (* 1/2 (/ y x)))))
(- (* 1/2 x) x)
(- (+ (* -1/2 y) (* 1/2 x)) x)
(- (+ (* -1/2 y) (* 1/2 x)) x)
(- (+ (* -1/2 y) (* 1/2 x)) x)
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(* y (- (* 1/2 (/ x y)) (+ 1/2 (/ x y))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (* 1/2 x) x) y)))))
(* -1/4 y)
(+ (* -1/4 x) (* -1/4 y))
(+ (* -1/4 x) (* -1/4 y))
(+ (* -1/4 x) (* -1/4 y))
(* -1/4 x)
(* x (- (* -1/4 (/ y x)) 1/4))
(* x (- (* -1/4 (/ y x)) 1/4))
(* x (- (* -1/4 (/ y x)) 1/4))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/4 (/ y x)))))
(* -1 (* x (+ 1/4 (* 1/4 (/ y x)))))
(* -1 (* x (+ 1/4 (* 1/4 (/ y x)))))
(* 1/2 (- (* 1/2 x) x))
(+ (* -1/4 y) (* 1/2 (- (* 1/2 x) x)))
(+ (* -1/4 y) (* 1/2 (- (* 1/2 x) x)))
(+ (* -1/4 y) (* 1/2 (- (* 1/2 x) x)))
(* -1/4 y)
(* y (- (* 1/2 (/ (- (* 1/2 x) x) y)) 1/4))
(* y (- (* 1/2 (/ (- (* 1/2 x) x) y)) 1/4))
(* y (- (* 1/2 (/ (- (* 1/2 x) x) y)) 1/4))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* -1/2 (/ (- (* 1/2 x) x) y)))))
(* -1 (* y (+ 1/4 (* -1/2 (/ (- (* 1/2 x) x) y)))))
(* -1 (* y (+ 1/4 (* -1/2 (/ (- (* 1/2 x) x) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* x (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))))
(+ (* -1/2 y) (* x (- (+ (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* x (- (+ (* 1/2 (/ (+ (* -2 y) (* -1 y)) (pow y 2))) (* 3/2 (/ 1 y))) (* 2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2)))))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))))
(+ (* -1/2 y) (* x (- (+ (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* x (- (+ (* 1/2 (/ (+ (* -2 y) (* -1 y)) (pow y 2))) (+ (* 3/2 (/ 1 y)) (* x (- (* 9/2 (/ 1 (pow y 2))) (+ (* 2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (+ (* 1/2 (/ (+ (* -2 y) (* -1 y)) (pow y 2))) (* 3/2 (/ 1 y))) (* 2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2))))) (pow y 2))) (* 3 (/ (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y))) (pow y 2)))))))) (* 2 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/2 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow y 2))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))) (pow y 2)))))) (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) y)))))
(* 3/2 x)
(* x (- (+ 3/2 (* 1/6 (/ (+ (* -2 y) (* -1 y)) x))) (+ (* -1/2 (/ y x)) (* 1/2 (/ y x)))))
(* x (- (+ 3/2 (+ (* 1/6 (/ (+ (* -2 y) (* -1 y)) x)) (* 1/6 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))) (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ y x)) (+ (* 1/2 (/ (pow y 2) (pow x 2))) (* 2/3 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/6 (+ (* -2 y) (* -1 y))) (+ (* -1/2 y) (* 1/2 y)))) (pow x 2))))))))
(* x (- (+ 3/2 (+ (* -1/6 (/ (pow y 3) (pow x 3))) (+ (* 1/6 (/ (+ (* -2 y) (* -1 y)) x)) (* 1/6 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))) (+ (* -1/2 (/ y x)) (+ (* 1/3 (/ (* (pow y 2) (- (* 1/6 (+ (* -2 y) (* -1 y))) (+ (* -1/2 y) (* 1/2 y)))) (pow x 3))) (+ (* 1/2 (/ y x)) (+ (* 1/2 (/ (pow y 2) (pow x 2))) (+ (* 2/3 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/6 (+ (* -2 y) (* -1 y))) (+ (* -1/2 y) (* 1/2 y)))) (pow x 2))) (* 2/3 (/ (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/6 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* 1/2 (pow y 2)) (* 2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* 1/6 (+ (* -2 y) (* -1 y))) (+ (* -1/2 y) (* 1/2 y)))))))) (pow x 3))))))))))
(* 3/2 x)
(* -1 (* x (- (* -1 (/ (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))))) (* -1/2 (pow y 2)))) x)) (* -1/6 (+ y (* 2 y)))) (+ (* -1/2 y) (* 1/2 y))) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow y 3)) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* -1/6 (+ (* 2 (pow y 2)) (pow y 2))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))))) (* -1/2 (pow y 2)))))) (* 1/3 (* (pow y 2) (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))))))) x)) (* -1/6 (+ (* 2 (pow y 2)) (pow y 2)))) (+ (* -2/3 (* (+ (* -1/2 y) (* 1/2 y)) (- (* -1/6 (+ y (* 2 y))) (+ (* -1/2 y) (* 1/2 y))))) (* -1/2 (pow y 2)))) x)) (* -1/6 (+ y (* 2 y)))) (+ (* -1/2 y) (* 1/2 y))) x)) 3/2)))
(/ (+ (* 1/8 (pow x 3)) (pow x 3)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))
(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* y (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))
(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* y (- (+ (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* y (- (* 1/8 (/ (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* 1/4 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))
(+ (* 1/8 (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* y (- (+ (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* y (- (+ (* -1 (* y (+ (* 1/8 (/ 1 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* 1/4 (/ (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2)))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/8 (/ (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (+ (* 1/4 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))))) (* 1/8 (/ (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) (+ (* 1/4 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))))) (* 1/2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (+ (* 1/8 (pow x 3)) (pow x 3))) (pow (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) 2))))) (/ (pow x 3) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))))
(* -1/2 y)
(* y (- (* 1/2 (/ (+ x (* 2 x)) y)) (+ 1/2 (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)))))
(* y (- (+ (* 1/2 (/ (+ x (* 2 x)) y)) (* 1/2 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2)))) (+ 1/2 (+ (* -2 (/ (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) (pow y 2))) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (* 2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/2 (+ x (* 2 x))) (* -1 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow y 2))))))))
(* y (- (+ (* 1/2 (/ (+ x (* 2 x)) y)) (+ (* 1/2 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (* 4 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) (pow y 3))))) (+ 1/2 (+ (* -2 (/ (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) (pow y 2))) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (+ (* 2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/2 (+ x (* 2 x))) (* -1 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow y 2))) (+ (* 2 (/ (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/2 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (+ (* -2 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))) (* 2 (* (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) (- (* 1/2 (+ x (* 2 x))) (* -1 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))))))) (pow y 3))) (* 4 (/ (* (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)) (- (* 1/2 (+ x (* 2 x))) (* -1 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow y 3))))))))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ (+ x (* 2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* 2 (pow x 2)) (pow x 2))) (* 2 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) y)) (* 1/2 (+ x (* 2 x)))) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (+ (* 1/8 (pow x 3)) (pow x 3))) (* 2 (* (+ x (* 2 x)) (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))))) y)) (* 1/2 (+ (* 2 (pow x 2)) (pow x 2)))) (* 2 (+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2)))) y)) (* 1/2 (+ x (* 2 x)))) y)))))
(* -1/8 (pow y 3))
(+ (* -1/8 (pow y 3)) (* 1/8 (* x (+ (* 2 (pow y 2)) (pow y 2)))))
(+ (* -1/8 (pow y 3)) (* x (+ (* 1/8 (* x (+ (* -2 y) (* -1 y)))) (* 1/8 (+ (* 2 (pow y 2)) (pow y 2))))))
(+ (* -1/8 (pow y 3)) (* x (+ (* 1/8 (+ (* 2 (pow y 2)) (pow y 2))) (* x (+ (* 1/8 (+ (* -2 y) (* -1 y))) (* 9/8 x))))))
(* 9/8 (pow x 3))
(* (pow x 3) (+ 9/8 (* 1/8 (/ (+ (* -2 y) (* -1 y)) x))))
(* (pow x 3) (+ 9/8 (+ (* 1/8 (/ (+ (* -2 y) (* -1 y)) x)) (* 1/8 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))))))
(* (pow x 3) (+ 9/8 (+ (* -1/8 (/ (pow y 3) (pow x 3))) (+ (* 1/8 (/ (+ (* -2 y) (* -1 y)) x)) (* 1/8 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))))
(* 9/8 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ (+ y (* 2 y)) x)) 9/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1/8 (+ y (* 2 y))) (* 1/8 (/ (+ (* 2 (pow y 2)) (pow y 2)) x))) x)) 9/8)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* 2 (pow y 2)) (pow y 2))) (* 1/8 (/ (pow y 3) x))) x)) (* -1/8 (+ y (* 2 y)))) x)) 9/8)))
(+ (* 1/8 (pow x 3)) (pow x 3))
(+ (* 1/8 (* y (+ (* -2 (pow x 2)) (* -1 (pow x 2))))) (+ (* 1/8 (pow x 3)) (pow x 3)))
(+ (* 1/8 (pow x 3)) (+ (* y (+ (* 1/8 (* y (+ x (* 2 x)))) (* 1/8 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) (pow x 3)))
(+ (* 1/8 (pow x 3)) (+ (* y (+ (* 1/8 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* y (+ (* -1/8 y) (* 1/8 (+ x (* 2 x))))))) (pow x 3)))
(* -1/8 (pow y 3))
(* (pow y 3) (- (* 1/8 (/ (+ x (* 2 x)) y)) 1/8))
(* (pow y 3) (- (+ (* 1/8 (/ (+ x (* 2 x)) y)) (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2)))) 1/8))
(* (pow y 3) (- (+ (* 1/8 (/ (+ x (* 2 x)) y)) (+ (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (+ (* 1/8 (/ (pow x 3) (pow y 3))) (/ (pow x 3) (pow y 3))))) 1/8))
(* -1/8 (pow y 3))
(* -1 (* (pow y 3) (+ 1/8 (* -1/8 (/ (+ x (* 2 x)) y)))))
(* -1 (* (pow y 3) (+ 1/8 (* -1 (/ (+ (* -1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)) (* 1/8 (+ x (* 2 x)))) y)))))
(* -1 (* (pow y 3) (+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) y)) (* 1/8 (+ (* 2 (pow x 2)) (pow x 2)))) y)) (* 1/8 (+ x (* 2 x)))) y)))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(* -1 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* 1/4 (pow y 2))
(+ (* 1/4 (pow y 2)) (* 1/2 (* x (+ (* -1/2 y) (* 1/2 y)))))
(+ (* 1/4 (pow y 2)) (* x (+ (* 1/2 (+ (* -1/2 y) (* 1/2 y))) (* 3/4 x))))
(+ (* 1/4 (pow y 2)) (* x (+ (* 1/2 (+ (* -1/2 y) (* 1/2 y))) (* 3/4 x))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x))))
(* (pow x 2) (+ 3/4 (+ (* 1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x)))))
(* (pow x 2) (+ 3/4 (+ (* 1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x)))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x))))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* -1/4 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* -1/4 (/ (pow y 2) x))) x))))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* 1/2 (* y (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)))) (pow x 2)))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* y (+ (* 1/4 y) (* 1/2 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow x 2)))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* y (+ (* 1/4 y) (* 1/2 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow x 2)))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y))))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (/ (pow x 2) (pow y 2))))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

Outputs
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(- (* 3/2 x) (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(- (* 3/2 x) (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(- (* 3/2 x) (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/2 binary64))))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/2 binary64))))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 y (/.f64 #s(literal 1/2 binary64) x) #s(literal -3/2 binary64))))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(*.f64 y (fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -3/2 binary64) x) y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -3/2 binary64) x) y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(-.f64 #s(literal 0 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -3/2 binary64) x) y))))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
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(fma.f64 y (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -3/8 binary64)) (.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9/8 binary64))))
(+ (* 1/8 (pow x 3)) (+ (* y (+ (* 1/8 (* y (+ x (* 2 x)))) (* 1/8 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))))) (pow x 3)))
(fma.f64 y (fma.f64 y (.f64 #s(literal 3/8 binary64) x) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -3/8 binary64))) (.f64 x (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9/8 binary64))))
(+ (* 1/8 (pow x 3)) (+ (* y (+ (* 1/8 (+ (* -2 (pow x 2)) (* -1 (pow x 2)))) (* y (+ (* -1/8 y) (* 1/8 (+ x (* 2 x))))))) (pow x 3)))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 3/8 binary64) x (.f64 y #s(literal -1/8 binary64))) (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -3/8 binary64))) (.f64 x (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9/8 binary64))))
(* -1/8 (pow y 3))
(.f64 y (.f64 y (*.f64 y #s(literal -1/8 binary64))))
(* (pow y 3) (- (* 1/8 (/ (+ x (* 2 x)) y)) 1/8))
(.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) x) y)))
(* (pow y 3) (- (+ (* 1/8 (/ (+ x (* 2 x)) y)) (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2)))) 1/8))
(.f64 y (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 #s(literal 3/8 binary64) x) y) (+.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -3/8 binary64)) (.f64 y y)) #s(literal -1/8 binary64)))))
(* (pow y 3) (- (+ (* 1/8 (/ (+ x (* 2 x)) y)) (+ (* 1/8 (/ (+ (* -2 (pow x 2)) (* -1 (pow x 2))) (pow y 2))) (+ (* 1/8 (/ (pow x 3) (pow y 3))) (/ (pow x 3) (pow y 3))))) 1/8))
(.f64 (.f64 y (.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -3 binary64) (.f64 y y)) (/.f64 (.f64 #s(literal 3 binary64) x) y)) (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 9/8 binary64) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))))
(* -1/8 (pow y 3))
(.f64 y (.f64 y (*.f64 y #s(literal -1/8 binary64))))
(* -1 (* (pow y 3) (+ 1/8 (* -1/8 (/ (+ x (* 2 x)) y)))))
(.f64 (.f64 y (.f64 y y)) (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) x) y))))
(* -1 (* (pow y 3) (+ 1/8 (* -1 (/ (+ (* -1/8 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)) (* 1/8 (+ x (* 2 x)))) y)))))
(.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) x (/.f64 (.f64 #s(literal -3/8 binary64) (fma.f64 x x #s(literal 0 binary64))) y)) y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
(* -1 (* (pow y 3) (+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (pow x 3)) (pow x 3)) y)) (* 1/8 (+ (* 2 (pow x 2)) (pow x 2)))) y)) (* 1/8 (+ x (* 2 x)))) y)))))
(.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/8 binary64) x) (/.f64 (fma.f64 #s(literal 3/8 binary64) (fma.f64 x x #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) y)) y)) y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64)))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) #s(literal 0 binary64)) x)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* y (+ x (* -1 x))) (pow x 2))
(fma.f64 x x #s(literal 0 binary64))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64)))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 y (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 0 binary64))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(.f64 (.f64 y y) (+.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 0 binary64))))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(.f64 y (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) y)) y) #s(literal -1 binary64))))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(.f64 y (.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) y)) y) #s(literal -1 binary64))))
(* 1/4 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/4 binary64))
(+ (* 1/4 (pow y 2)) (* 1/2 (* x (+ (* -1/2 y) (* 1/2 y)))))
(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal 0 binary64))
(+ (* 1/4 (pow y 2)) (* x (+ (* 1/2 (+ (* -1/2 y) (* 1/2 y))) (* 3/4 x))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/4 binary64) (.f64 (.f64 y y) #s(literal 1/4 binary64)))
(+ (* 1/4 (pow y 2)) (* x (+ (* 1/2 (+ (* -1/2 y) (* 1/2 y))) (* 3/4 x))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/4 binary64) (.f64 (.f64 y y) #s(literal 1/4 binary64)))
(* 3/4 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/4 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 3/4 (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/4 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 3/4 (+ (* 1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3/4 (+ (* 1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(* 3/4 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/4 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 3/4 (* 1/2 (/ (+ (* -1/2 y) (* 1/2 y)) x))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3/4 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* -1/4 (/ (pow y 2) x))) x))))
(.f64 x (.f64 x (-.f64 #s(literal 3/4 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/4 binary64) #s(literal 0 binary64)) x))))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 (+ (* -1/2 y) (* 1/2 y))) (* -1/4 (/ (pow y 2) x))) x))))
(.f64 x (.f64 x (-.f64 #s(literal 3/4 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal -1/4 binary64) #s(literal 0 binary64)) x))))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (pow x 2))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* 1/2 (* y (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)))) (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* y (+ (* 1/4 y) (* 1/2 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow x 2)))
(fma.f64 x x (fma.f64 x (.f64 x #s(literal -1/4 binary64)) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) #s(literal 0 binary64))))
(+ (* 1/2 (* x (- (* 1/2 x) x))) (+ (* y (+ (* 1/4 y) (* 1/2 (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x))))) (pow x 2)))
(fma.f64 x x (fma.f64 x (.f64 x #s(literal -1/4 binary64)) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) #s(literal 0 binary64))))
(* 1/4 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/4 binary64))
(* (pow y 2) (+ 1/4 (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y))))
(.f64 y (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 x #s(literal 1/2 binary64))) y) #s(literal 1/4 binary64))))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (/ (pow x 2) (pow y 2))))))
(.f64 y (.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 x #s(literal 1/2 binary64))) y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)))))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (+ (* 1/2 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1/2 x)) y)) (/ (pow x 2) (pow y 2))))))
(.f64 y (.f64 y (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 x #s(literal 1/2 binary64))) y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)))))
(* 1/4 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/4 binary64))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 y y)) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1/4 binary64))))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 y y)) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1/4 binary64))))
(* (pow y 2) (+ 1/4 (+ (* 1/2 (/ (* x (- (* 1/2 x) x)) (pow y 2))) (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (.f64 y y)) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1/4 binary64))))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))

eval744.0ms (7.9%)

Memory: -44.9MiB live, 897.0MiB allocated
Compiler: Compiled 102 741 to 5 450 computations (94.7% saved)

prune291.0ms (3.1%)

Memory

-16.9MiB live, 688.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	3 117	4	3 121
Fresh	7	1	8
Picked	5	0	5
Done	0	0	0
Total	3 129	5	3 134

Accuracy

100.0%

Counts

3 134 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	99.9%	(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
▶	100.0%	(fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
▶	46.9%	(*.f64 y #s(literal -1/2 binary64))
▶	54.3%	(*.f64 #s(literal 3/2 binary64) x)

Compiler

Compiled 70 to 52 computations (25.7% saved)

simplify41.0ms (0.4%)

Memory

-2.0MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 #s(literal 3/2 binary64) x)
✓	cost-diff	192	(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	cost-diff	-64	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	-64	(*.f64 #s(literal 3/2 binary64) x)
✓	cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
✓	cost-diff	192	(fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))

Rules

560×	`accelerator-lowering-fma.f32`
560×	`accelerator-lowering-fma.f64`
208×	`-lowering-.f32`
208×	`-lowering-.f64`
128×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	22	52
2	37	52
3	65	52
4	101	52
5	141	52
6	215	52
7	322	52
8	431	52
9	509	52
10	516	52
11	518	52
0	518	49

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* 3/2 x) (+ (* y -1/2) 0))
3/2
x
(+ (* y -1/2) 0)
y
-1/2
0
(* 3/2 x)
3/2
x
(* y -1/2)
y
-1/2
(+ (* (- y x) -1/2) x)
(- y x)
y
x
-1/2
(+ (* y -1/2) (* 3/2 x))
y
-1/2
(* 3/2 x)
3/2
x

Outputs
(+ (* 3/2 x) (+ (* y -1/2) 0))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
3/2
#s(literal 3/2 binary64)
x
(+ (* y -1/2) 0)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
y
-1/2
#s(literal -1/2 binary64)
0
#s(literal 0 binary64)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
3/2
#s(literal 3/2 binary64)
x
(* y -1/2)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
y
-1/2
#s(literal -1/2 binary64)
(+ (* (- y x) -1/2) x)
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(- y x)
(-.f64 y x)
y
x
-1/2
#s(literal -1/2 binary64)
(+ (* y -1/2) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
y
-1/2
#s(literal -1/2 binary64)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
3/2
#s(literal 3/2 binary64)
x

localize50.0ms (0.5%)

Memory

-13.4MiB live, 98.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3/2 binary64) x)
✓	accuracy	99.9%	(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))

Samples

26.0ms	236×	0	valid
3.0ms	10×	2	valid
2.0ms	5×	3	valid
1.0ms	5×	1	valid

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 7.0ms (45.8% of total)

ival-mult: 5.0ms (32.7% of total)

adjust: 1.0ms (6.5% of total)

ival-sub: 1.0ms (6.5% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (+ (* 3/2 x) (+ (* y -1/2) 0))>
#<alt (+ (* y -1/2) 0)>
#<alt (* 3/2 x)>
#<alt (* y -1/2)>
#<alt (+ (* (- y x) -1/2) x)>
#<alt (- y x)>
#<alt (+ (* y -1/2) (* 3/2 x))>

Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* 3/2 x)
0.0ms	x	@	inf	(* 3/2 x)
0.0ms	y	@	0	(+ (* (- y x) -1/2) x)
0.0ms	y	@	inf	(+ (* (- y x) -1/2) x)
0.0ms	x	@	0	(+ (* 3/2 x) (+ (* y -1/2) 0))

rewrite563.0ms (6%)

Memory

41.4MiB live, 947.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

16 526×	`accelerator-lowering-fma.f32`
16 526×	`accelerator-lowering-fma.f64`
5 542×	`-lowering-.f32`
5 542×	`-lowering-.f64`
3 740×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	80	33
2	737	33
0	8599	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 1 241

Calls

Call 1

Inputs
(+ (* 3/2 x) (+ (* y -1/2) 0))
(+ (* y -1/2) 0)
(* 3/2 x)
(* y -1/2)
(+ (* (- y x) -1/2) x)
(- y x)
(+ (* y -1/2) (* 3/2 x))

Outputs
(+.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))))
(+.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))))
(+.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))))))
(-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 x #s(literal -3/2 binary64)))
(-.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) (-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) (+.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) (-.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))))) (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))))
(fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x #s(literal 3/2 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 y (*.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) y)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y (.f64 y y)) (*.f64 y y)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y y) y) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) y)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) y)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))))
(fma.f64 (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (.f64 x #s(literal 9/4 binary64)))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (*.f64 x #s(literal 9/4 binary64)))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (.f64 x #s(literal 9/4 binary64)))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 y y)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))))))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (*.f64 x #s(literal 9/4 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (*.f64 x #s(literal 9/4 binary64)))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (.f64 y (.f64 y y)) (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (.f64 y y) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -2 binary64) y)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal -3/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (fma.f64 (.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (.f64 x x) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal -3/2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 4 binary64) (.f64 y y))) (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
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(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (.f64 x #s(literal 9/4 binary64)))))))
(.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))))
(.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))))))
(.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))))
(.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (.f64 x x) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (.f64 x #s(literal 9/4 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/2 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (.f64 x x) #s(literal -9/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (.f64 x #s(literal 9/4 binary64))))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (.f64 x x) #s(literal -9/4 binary64))))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (.f64 x x) #s(literal -9/4 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (fma.f64 (.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64)))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64) (.f64 (.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x))) (.f64 (.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x))) (.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x))))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81/16 binary64) (.f64 (.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x))) (-.f64 (.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x))) (.f64 x (.f64 x #s(literal 9/4 binary64)))))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 y (-.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 #s(literal -3/4 binary64) x)) (.f64 x (.f64 x #s(literal 9/4 binary64)))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))))))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal -3/2 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 9/4 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)))))))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/16 binary64) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64)))) (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64)))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (*.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (fma.f64 (.f64 y y) #s(literal -1/4 binary64) #s(literal 0 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (fma.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64) #s(literal 0 binary64)))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (*.f64 #s(literal -3/4 binary64) x)) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (.f64 (.f64 x x) #s(literal -9/4 binary64))) (fma.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)) (.f64 #s(literal -27/8 binary64) (.f64 x (.f64 x x))))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 9/4 binary64) (fma.f64 y #s(literal -3/4 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))))

simplify361.0ms (3.8%)

Memory

-32.6MiB live, 414.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 268×	`accelerator-lowering-fma.f32`
8 268×	`accelerator-lowering-fma.f64`
2 744×	`-lowering-.f32`
2 744×	`-lowering-.f64`
1 232×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	603
1	164	603
2	451	603
3	1262	603
4	3168	603
5	4581	603
6	6604	603
7	7941	603
0	8132	549

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))

Outputs
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ x (* 1/2 x))
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)

eval168.0ms (1.8%)

Memory: 29.1MiB live, 334.2MiB allocated
Compiler: Compiled 33 284 to 1 687 computations (94.9% saved)

prune154.0ms (1.6%)

Memory

11.4MiB live, 290.1MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 395	2	1 397
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 397	5	1 402

Accuracy

100.0%

Counts

1 402 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	55.8%	(fma.f64 y #s(literal -1/2 binary64) x)
▶	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
✓	46.9%	(*.f64 y #s(literal -1/2 binary64))
✓	54.3%	(*.f64 #s(literal 3/2 binary64) x)

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify18.0ms (0.2%)

Memory

-33.9MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 y #s(literal -1/2 binary64) x)
✓	cost-diff	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))

Rules

12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
8×	`+-lowering-+.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	12	22
0	12	20

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* 3/2 x) (* y -1/2))
3/2
x
(* y -1/2)
y
-1/2
(+ (* y -1/2) x)
y
-1/2
x

Outputs
(+ (* 3/2 x) (* y -1/2))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
3/2
#s(literal 3/2 binary64)
x
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(+ (* y -1/2) x)
(fma.f64 y #s(literal -1/2 binary64) x)
y
-1/2
#s(literal -1/2 binary64)
x

localize25.0ms (0.3%)

Memory

23.6MiB live, 62.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))

Samples

13.0ms	236×	0	valid
1.0ms	7×	2	valid
1.0ms	8×	1	valid
1.0ms	3×	4	valid
0.0ms	2×	3	valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43% of total)

ival-add: 3.0ms (43% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (+ (* 3/2 x) (* y -1/2))>
#<alt (* y -1/2)>
#<alt (+ (* y -1/2) x)>

Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt x>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* 3/2 x) (* y -1/2))
0.0ms	y	@	inf	(+ (* 3/2 x) (* y -1/2))
0.0ms	x	@	-inf	(+ (* 3/2 x) (* y -1/2))
0.0ms	y	@	-inf	(+ (* 3/2 x) (* y -1/2))
0.0ms	x	@	inf	(+ (* 3/2 x) (* y -1/2))

rewrite448.0ms (4.8%)

Memory

-15.9MiB live, 676.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 768×	`accelerator-lowering-fma.f32`
6 768×	`accelerator-lowering-fma.f64`
4 306×	`-lowering-.f32`
4 306×	`-lowering-.f64`
4 014×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	35	15
2	290	15
3	3045	15
0	8262	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 257

Calls

Call 1

Inputs
(+ (* 3/2 x) (* y -1/2))
(* y -1/2)
(+ (* y -1/2) x)

Outputs
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 #s(literal 3/2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))))) (/.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 y y) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 729/64 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 #s(literal -3/4 binary64) y)) (.f64 y (.f64 y #s(literal 1/4 binary64))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64 binary64))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 (.f64 x #s(literal 9/4 binary64)) (.f64 #s(literal -3/4 binary64) y)) (.f64 y (.f64 y #s(literal 1/4 binary64))))))
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simplify400.0ms (4.2%)

Memory

0.8MiB live, 334.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 340×	`accelerator-lowering-fma.f32`
8 340×	`accelerator-lowering-fma.f64`
3 392×	`/-lowering-/.f32`
3 392×	`/-lowering-/.f64`
2 280×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	282
1	109	282
2	291	282
3	720	282
4	1675	282
5	3273	282
6	4576	282
7	5114	282
8	5321	282
9	5482	282
10	7149	282
0	8013	246

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
x
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(* -1/2 y)
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1/2 y)
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
x
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (* -1/2 (/ y x))))
x
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))

Outputs
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* 3/2 x)
(fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(+ (* -1/2 y) (* 3/2 x))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* y (- (* 3/2 (/ x y)) 1/2))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 #s(literal 3/2 binary64) x #s(literal 0 binary64)))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
x
(+ x (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y x)
(+ x (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y x)
(+ x (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* y (- (/ x y) 1/2))
(fma.f64 #s(literal -1/2 binary64) y x)
(* y (- (/ x y) 1/2))
(fma.f64 #s(literal -1/2 binary64) y x)
(* y (- (/ x y) 1/2))
(fma.f64 #s(literal -1/2 binary64) y x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) y x)
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) y x)
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(fma.f64 #s(literal -1/2 binary64) y x)
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(+ x (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y x)
(+ x (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y x)
(+ x (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y x)
x
(* x (+ 1 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) y x)
(* x (+ 1 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) y x)
(* x (+ 1 (* -1/2 (/ y x))))
(fma.f64 #s(literal -1/2 binary64) y x)
x
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(fma.f64 #s(literal -1/2 binary64) y x)
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(fma.f64 #s(literal -1/2 binary64) y x)
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(fma.f64 #s(literal -1/2 binary64) y x)

eval62.0ms (0.7%)

Memory: -17.4MiB live, 65.2MiB allocated
Compiler: Compiled 10 349 to 788 computations (92.4% saved)

prune112.0ms (1.2%)

Memory

5.9MiB live, 81.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	316	1	317
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	316	6	322

Accuracy

100.0%

Counts

322 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	55.8%	(fma.f64 y #s(literal -1/2 binary64) x)
✓	100.0%	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
✓	46.9%	(*.f64 y #s(literal -1/2 binary64))
✓	54.3%	(*.f64 #s(literal 3/2 binary64) x)
	12.2%	x

Compiler

Compiled 241 to 89 computations (63.1% saved)

regimes49.0ms (0.5%)

Memory

-11.6MiB live, 32.7MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1/2 binary64) x)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal 3/2 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
(.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) x)
(/.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (fma.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)) (*.f64 x x)))
(+.f64 x (pow.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)

Outputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))

Calls

3 calls:

35.0ms	y
6.0ms	x
6.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1/2 binary64) x)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

Outputs
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)

Calls

3 calls:

3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.4%)

Memory

-24.6MiB live, 14.8MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1/2 binary64) x)

Outputs
(fma.f64 y #s(literal -1/2 binary64) x)
(*.f64 #s(literal 3/2 binary64) x)
(fma.f64 y #s(literal -1/2 binary64) x)

Calls

3 calls:

28.0ms	y
3.0ms	x
3.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
76.0%	3	`x`
81.3%	3	`y`
62.5%	3	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
x
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(fma.f64 x #s(literal 3/2 binary64) #s(literal 0 binary64))

Outputs
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 y #s(literal -1/2 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 #s(literal 3/2 binary64) x)

Outputs
(*.f64 #s(literal 3/2 binary64) x)

Calls

3 calls:

2.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
54.3%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
54.3%	1	`x`
54.3%	1	`y`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
12.2%	1	`y`
12.2%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
12.2%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch49.0ms (0.5%)

Memory

-6.0MiB live, 33.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.732471090020018e-29	9.593539009953319e-24
36.0ms	-2.064181403474551	-0.00017555946696705405

Samples

9.0ms	245×	0	valid
2.0ms	17×	2	valid
1.0ms	10×	1	valid

Compiler

Compiled 233 to 181 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33% of total)

ival-sub: 2.0ms (33% of total)

ival-add: 1.0ms (16.5% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Memory

-2.9MiB live, 36.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.732471090020018e-29	9.593539009953319e-24
33.0ms	-2.064181403474551	-0.00017555946696705405

Samples

33.0ms	252×	0	valid
1.0ms	13×	1	valid
1.0ms	7×	2	valid

Compiler

Compiled 216 to 181 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 25.0ms (86.8% of total)

ival-sub: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	47
1	32	47
2	37	47
3	39	47
4	40	47

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 y #s(literal -6456360425798343/4611686018427387904 binary64)) (fma.f64 y #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 5172291977198265/1361129467683753853853498429727072845824 binary64)) (*.f64 #s(literal 3/2 binary64) x) (fma.f64 y #s(literal -1/2 binary64) x)))
(if (<=.f64 y #s(literal -5/4 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 6097860015223217/43556142965880123323311949751266331066368 binary64)) (.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 3/2 binary64) x)
x

Outputs
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(if (<=.f64 y #s(literal -6456360425798343/4611686018427387904 binary64)) (fma.f64 y #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 5172291977198265/1361129467683753853853498429727072845824 binary64)) (*.f64 #s(literal 3/2 binary64) x) (fma.f64 y #s(literal -1/2 binary64) x)))
(if (<=.f64 y #s(literal -5/4 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 6097860015223217/43556142965880123323311949751266331066368 binary64)) (.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 3/2 binary64) x)
x

soundness1.7s (17.6%)

Memory

-30.9MiB live, 850.2MiB allocated

Rules

16 526×	`accelerator-lowering-fma.f32`
16 526×	`accelerator-lowering-fma.f64`
12 604×	`accelerator-lowering-fma.f32`
12 604×	`accelerator-lowering-fma.f64`
8 340×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	714	4831
1	2377	3953
0	8943	3681
0	55	603
1	164	603
2	451	603
3	1262	603
4	3168	603
5	4581	603
6	6604	603
7	7941	603
0	8132	549
0	33	137
1	216	129
2	2162	129
0	9579	121
0	58	351
1	176	351
2	487	351
3	1348	315
4	2968	315
5	4585	315
6	6569	315
7	7592	315
0	8078	297
0	13	33
1	80	33
2	737	33
0	8599	30
0	39	282
1	109	282
2	291	282
3	720	282
4	1675	282
5	3273	282
6	4576	282
7	5114	282
8	5321	282
9	5482	282
10	7149	282
0	8013	246
0	6	15
1	45	15
2	397	15
3	5077	15
0	8178	14

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 176 to 105 computations (40.3% saved)

preprocess128.0ms (1.4%)

Memory: 13.5MiB live, 131.3MiB allocated
Compiler: Compiled 144 to 70 computations (51.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	48
1	51	42
2	153	42
3	406	42
4	715	42
5	909	42
6	951	42
0	6	7
1	12	7
2	23	7
3	44	7
4	83	7
5	154	7
6	278	7
7	435	7
8	543	7
9	604	7
10	608	7
0	608	6

Iter	Nodes	Cost
0	6	18
1	12	18
2	23	18
3	44	18
4	83	18
5	154	18
6	278	18
7	435	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	13	52
1	22	52
2	37	52
3	65	52
4	101	52
5	141	52
6	215	52
7	322	52
8	431	52
9	509	52
10	516	52
11	518	52
0	518	49

Iter	Nodes	Cost
0	19	48
1	51	42
2	153	42
3	406	42
4	715	42
5	909	42
6	951	42
0	6	7
1	12	7
2	23	7
3	44	7
4	83	7
5	154	7
6	278	7
7	435	7
8	543	7
9	604	7
10	608	7
0	608	6

Iter	Nodes	Cost
0	6	18
1	12	18
2	23	18
3	44	18
4	83	18
5	154	18
6	278	18
7	435	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	13	52
1	22	52
2	37	52
3	65	52
4	101	52
5	141	52
6	215	52
7	322	52
8	431	52
9	509	52
10	516	52
11	518	52
0	518	49

analyze0.0ms (0%)

sample647.0ms (6.9%)

preprocess60.0ms (0.6%)

explain65.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.3%)

localize27.0ms (0.3%)

series3.0ms (0%)

rewrite398.0ms (4.2%)

simplify257.0ms (2.7%)

eval60.0ms (0.6%)

prune80.0ms (0.9%)

simplify497.0ms (5.3%)

localize338.0ms (3.6%)

series40.0ms (0.4%)

rewrite810.0ms (8.6%)

simplify690.0ms (7.3%)

eval744.0ms (7.9%)

prune291.0ms (3.1%)

simplify41.0ms (0.4%)

localize50.0ms (0.5%)

series4.0ms (0%)

rewrite563.0ms (6%)

simplify361.0ms (3.8%)

eval168.0ms (1.8%)

prune154.0ms (1.6%)

simplify18.0ms (0.2%)

localize25.0ms (0.3%)

series1.0ms (0%)

rewrite448.0ms (4.8%)

simplify400.0ms (4.2%)

eval62.0ms (0.7%)

prune112.0ms (1.2%)

regimes49.0ms (0.5%)

regimes9.0ms (0.1%)

regimes34.0ms (0.4%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch49.0ms (0.5%)

bsearch45.0ms (0.5%)

simplify9.0ms (0.1%)

soundness1.7s (17.6%)

preprocess128.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	48
1	51	42
2	153	42
3	406	42
4	715	42
5	909	42
6	951	42
0	6	7
1	12	7
2	23	7
3	44	7
4	83	7
5	154	7
6	278	7
7	435	7
8	543	7
9	604	7
10	608	7
0	608	6

Iter	Nodes	Cost
0	6	18
1	12	18
2	23	18
3	44	18
4	83	18
5	154	18
6	278	18
7	435	18
8	543	18
9	604	18
10	608	18
0	608	17

Iter	Nodes	Cost
0	13	52
1	22	52
2	37	52
3	65	52
4	101	52
5	141	52
6	215	52
7	322	52
8	431	52
9	509	52
10	516	52
11	518	52
0	518	49