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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample700.0ms (12.8%)

Memory

-11.5MiB live, 1 265.5MiB allocated

Samples

351.0ms	7 638×	0	valid
48.0ms	271×	1	valid
22.0ms	195×	2	valid
21.0ms	152×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 280.0ms

ival-div: 100.0ms (35.7% of total)

ival-sub: 74.0ms (26.4% of total)

ival-add: 69.0ms (24.6% of total)

adjust: 23.0ms (8.2% of total)

exact: 6.0ms (2.1% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess57.0ms (1%)

Memory

6.5MiB live, 86.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
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)

explain93.0ms (1.7%)

Memory

0.3MiB live, 112.7MiB 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

24.0ms	488×	0	valid
2.0ms	12×	2	valid
1.0ms	4×	3	valid
1.0ms	8×	1	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sub: 6.0ms (44% of total)

ival-div: 4.0ms (29.3% of total)

ival-add: 3.0ms (22% of total)

adjust: 1.0ms (7.3% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify34.0ms (0.6%)

Memory

0.9MiB live, 40.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize24.0ms (0.4%)

Memory

20.2MiB live, 55.1MiB 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	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Samples

14.0ms	244×	0	valid
1.0ms	6×	2	valid
0.0ms	2×	3	valid
0.0ms	4×	1	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (37% of total)

ival-sub: 2.0ms (37% of total)

ival-add: 1.0ms (18.5% 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)

series6.0ms (0.1%)

Memory

-28.7MiB live, 7.4MiB 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	x	@	0	(+ x (/ (- x y) 2))
0.0ms	y	@	inf	(/ (- x y) 2)
0.0ms	x	@	0	(/ (- x y) 2)

rewrite656.0ms (12%)

Memory

28.6MiB live, 439.6MiB 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) (neg.f64 y)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 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 (neg.f64 (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 (neg.f64 (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) (neg.f64 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) (neg.f64 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) (neg.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 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 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 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) (neg.f64 (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) (neg.f64 (+.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) (neg.f64 (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) (neg.f64 (+.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)))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x x (.f64 y y))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1/2 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/2 binary64))) (+.f64 x y))
(/.f64 (-.f64 (.f64 x (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (.f64 x #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 y))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) y)) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
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(.f64 (/.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 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64)) (.f64 (.f64 (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))) (-.f64 (.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 (.f64 x (.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 (-.f64 x y) (.f64 (-.f64 x y) (-.f64 x y))) #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (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)) (fma.f64 x x (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))))) (fma.f64 x x (.f64 (.f64 (-.f64 x y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x))))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (neg.f64 y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) x)
(+.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 x y)
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (neg.f64 y) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x x (.f64 y (-.f64 y x))) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 y (+.f64 x y)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(neg.f64 (-.f64 y x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x x (.f64 y (+.f64 x y))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 y y (-.f64 (.f64 x x) (neg.f64 (*.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (+.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 (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 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (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 x y) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y))))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y))))) (.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y))))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y))) (/.f64 (.f64 x x) (+.f64 x y))) (.f64 (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))) (/.f64 (.f64 y y) (+.f64 x y)))) (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x (.f64 y (+.f64 x y))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (.f64 y (+.f64 x y)))))) (fma.f64 x (/.f64 (.f64 x x) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y))) (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x))) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 x y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (.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 #s(literal 1 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 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))
(/.f64 (.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 #s(literal 1 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 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (neg.f64 (+.f64 x y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) #s(literal 1 binary64)))
(.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y))))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y))))))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x x (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (+.f64 x y)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))

simplify308.0ms (5.6%)

Memory

-38.6MiB live, 364.8MiB 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)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -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)
(*.f64 x #s(literal 3/2 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)
(*.f64 x #s(literal 3/2 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))
(*.f64 x #s(literal 3/2 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)
(*.f64 #s(literal -1/2 binary64) y)
(* 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)
(*.f64 #s(literal -1/2 binary64) y)
(* -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)
(neg.f64 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)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 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)

eval50.0ms (0.9%)

Memory: 2.2MiB live, 118.6MiB allocated
Compiler: Compiled 8 910 to 1 111 computations (87.5% saved)

prune55.0ms (1%)

Memory

15.9MiB live, 174.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	414	11	425
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	415	11	426

Accuracy

100.0%

Counts

426 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.6%	(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)
	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
	56.7%	(fma.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) (+.f64 x y)) x)
▶	56.3%	(/.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x)) (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)))
	99.7%	(+.f64 x (/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) #s(literal 2 binary64)))
▶	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
▶	58.5%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
	54.3%	(.f64 (-.f64 (.f64 (-.f64 x y) (.f64 #s(literal 1/4 binary64) (-.f64 x y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 x y) #s(literal 1/2 binary64)) x)))
	50.7%	(*.f64 x #s(literal 3/2 binary64))
▶	50.1%	(*.f64 #s(literal -1/2 binary64) y)

Compiler

Compiled 302 to 176 computations (41.7% saved)

simplify345.0ms (6.3%)

Memory

14.3MiB live, 699.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x))
✓	cost-diff	0	(/.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x)) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x))
✓	cost-diff	64	(fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	128	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	64	(fma.f64 x #s(literal 1/2 binary64) x)
✓	cost-diff	256	(-.f64 (fma.f64 x #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))

Rules

11 904×	`accelerator-lowering-fma.f32`
11 904×	`accelerator-lowering-fma.f64`
3 216×	`-lowering-.f32`
3 216×	`-lowering-.f64`
1 844×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	121
1	52	115
2	106	115
3	281	115
4	734	111
5	1825	111
6	3477	111
7	6544	111
0	8323	106

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

localize122.0ms (2.2%)

Memory

-13.9MiB live, 182.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (-.f64 x y))
✓	accuracy	100.0%	(fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x)
✓	accuracy	97.5%	(fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x))
✓	accuracy	56.5%	(/.f64 (fma.f64 (-.f64 y x) (.f64 #s(literal 1/4 binary64) (-.f64 x y)) (.f64 x x)) (fma.f64 (-.f64 x y) #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (-.f64 x y))
✓	accuracy	99.9%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 x y)))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	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

53.0ms	223×	0	valid
13.0ms	29×	2	valid
3.0ms	4×	4	valid

Compiler

Compiled 119 to 27 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 31.0ms (60.6% of total)

ival-div: 6.0ms (11.7% of total)

ival-add: 6.0ms (11.7% of total)

ival-sub: 4.0ms (7.8% of total)

adjust: 3.0ms (5.9% of total)

exact: 1.0ms (2% of total)

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

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

series23.0ms (0.4%)

Memory

-26.0MiB live, 33.4MiB allocated

Counts

14 → 300

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)>
#<alt (+ x (* -1/2 y))>
#<alt (/ 1 (/ 2 (- x y)))>
#<alt (+ x (/ 1 (/ 2 (- x y))))>
#<alt (/ 2 (- x y))>
#<alt (- x y)>
#<alt (+ (* (- x y) -1/2) x)>
#<alt (/ (+ (* (- y x) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) -1/2) x))>
#<alt (+ (* (- y x) (* 1/4 (- x y))) (* x x))>
#<alt (- y x)>
#<alt (* 1/4 (- x y))>

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

Calls

75 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(/ (+ (* (- y x) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) -1/2) x))
2.0ms	y	@	0	(/ (+ (* (- y x) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) -1/2) x))
1.0ms	y	@	-inf	(/ (+ (* (- y x) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) -1/2) x))
1.0ms	x	@	0	(/ (+ (* (- y x) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) -1/2) x))
1.0ms	y	@	inf	(* y 1/2)

rewrite411.0ms (7.5%)

Memory

21.0MiB live, 691.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 240×	`accelerator-lowering-fma.f32`
7 240×	`accelerator-lowering-fma.f64`
4 502×	`/-lowering-/.f32`
4 502×	`/-lowering-/.f64`
3 764×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	96
1	160	90
2	1497	90
0	8516	83

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 722

Calls

Call 1

Inputs
(- (+ (* x 1/2) x) (* y 1/2))
(+ (* x 1/2) x)
(* y 1/2)
(* -1/2 y)
(+ x (* -1/2 y))
(/ 1 (/ 2 (- x y)))
(+ x (/ 1 (/ 2 (- x y))))
(/ 2 (- x y))
(- x y)
(+ (* (- x y) -1/2) x)
(/ (+ (* (- y x) (* 1/4 (- x y))) (* x x)) (+ (* (- x y) -1/2) x))
(+ (* (- y x) (* 1/4 (- x y))) (* x x))
(- y x)
(* 1/4 (- x y))

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

simplify424.0ms (7.7%)

Memory

11.9MiB live, 610.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 298×	`accelerator-lowering-fma.f32`
11 298×	`accelerator-lowering-fma.f64`
4 448×	`-lowering-.f32`
4 448×	`-lowering-.f64`
2 924×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	2724
1	1393	2503
2	4620	2356
0	8623	2181

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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)
(+ 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)))
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)
(+ (* -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)))))
(/ -2 y)
(- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2 x)
(/ (+ 2 (* 2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x))) x)
(/ (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2))))) x)
(/ 2 x)
(* -1 (/ (- (* -2 (/ y x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 2) x)) (* -2 y)) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow y 3) x)) (* 2 (pow y 2))) x)) (* -2 y)) x)) 2) x))
(/ 2 x)
(+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))
(+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2 (/ y (pow x 4))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))
(/ -2 y)
(/ (- (* -2 (/ x y)) 2) y)
(/ (- (* -2 (/ (pow x 2) (pow y 2))) (+ 2 (* 2 (/ x y)))) y)
(/ (- (* -2 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 2 (/ x y)) (* 2 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 2 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow x 2) y)) (* 2 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))) 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)))))
(* 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 (* 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)))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(* 1/2 y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ x (* -1/2 x)) y)) 1/2)))
(/ (+ (* -1/4 (pow x 2)) (pow x 2)) (+ x (* -1/2 x)))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 x)))) (+ (* y (- (* 1/2 (/ x (+ x (* -1/2 x)))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (pow (+ x (* -1/2 x)) 2))))) (/ (pow x 2) (+ x (* -1/2 x)))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 x)))) (+ (* y (- (+ (* -1 (* y (+ (* 1/4 (/ 1 (+ x (* -1/2 x)))) (* 1/2 (/ (- (* 1/2 (/ x (+ x (* -1/2 x)))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (pow (+ x (* -1/2 x)) 2)))) (+ x (* -1/2 x))))))) (* 1/2 (/ x (+ x (* -1/2 x))))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (pow (+ x (* -1/2 x)) 2))))) (/ (pow x 2) (+ x (* -1/2 x)))))
(+ (* -1/4 (/ (pow x 2) (+ x (* -1/2 x)))) (+ (* y (- (+ (* 1/2 (/ x (+ x (* -1/2 x)))) (* y (- (* 1/2 (/ (* y (+ (* 1/2 (/ (- (* 1/2 (/ x (+ x (* -1/2 x)))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (pow (+ x (* -1/2 x)) 2)))) (+ x (* -1/2 x)))) (* 1/4 (/ 1 (+ x (* -1/2 x)))))) (+ x (* -1/2 x)))) (+ (* 1/4 (/ 1 (+ x (* -1/2 x)))) (* 1/2 (/ (- (* 1/2 (/ x (+ x (* -1/2 x)))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (pow (+ x (* -1/2 x)) 2)))) (+ x (* -1/2 x)))))))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (pow (+ x (* -1/2 x)) 2))))) (/ (pow x 2) (+ x (* -1/2 x)))))
(* -1/2 y)
(* y (- (/ x y) (+ 1/2 (* -1 (/ (+ x (* -1/2 x)) y)))))
(* y (- (+ (* 2 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y)) (+ 1/2 (+ (* -1 (/ (+ x (* -1/2 x)) y)) (* 2 (/ (* (+ x (* -1/2 x)) (- x (* -1 (+ x (* -1/2 x))))) (pow y 2)))))))
(* y (- (+ (* -2 (/ (* (+ x (* -1/2 x)) (- (* 2 (+ (* -1/4 (pow x 2)) (pow x 2))) (* 2 (* (+ x (* -1/2 x)) (- x (* -1 (+ x (* -1/2 x)))))))) (pow y 3))) (+ (* 2 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y))) (+ 1/2 (+ (* -1 (/ (+ x (* -1/2 x)) y)) (* 2 (/ (* (+ x (* -1/2 x)) (- x (* -1 (+ x (* -1/2 x))))) (pow y 2)))))))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (- x (* -1 (+ x (* -1/2 x)))) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (+ x (* -1 (/ (- (* -2 (+ (* -1/4 (pow x 2)) (pow x 2))) (* -2 (* (+ x (* -1/2 x)) (- x (* -1 (+ x (* -1/2 x))))))) y))) (* -1 (+ x (* -1/2 x)))) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -2 (+ (* -1/4 (pow x 2)) (pow x 2))) (* -2 (/ (* (+ x (* -1/2 x)) (- (* -2 (+ (* -1/4 (pow x 2)) (pow x 2))) (* -2 (* (+ x (* -1/2 x)) (- x (* -1 (+ x (* -1/2 x)))))))) y))) (* -2 (* (+ x (* -1/2 x)) (- x (* -1 (+ x (* -1/2 x))))))) y))) (* -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 (/ y x)) (* 3/2 (/ y x))))
(* x (- (+ 3/2 (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2)))))
(* x (- (+ 3/2 (+ (* -1 (/ (* y (- (* -1/2 (pow y 2)) (* y (- y (* 3/2 y))))) (pow x 3))) (+ (* -1/2 (/ (pow y 2) (pow x 2))) (/ y x)))) (+ (* 3/2 (/ y x)) (/ (* y (- y (* 3/2 y))) (pow x 2)))))
(* 3/2 x)
(* -1 (* x (- (* -1 (/ (- y (* 3/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (- (* 1/2 (pow y 2)) (* -1 (* y (- y (* 3/2 y)))))) x)) (* 1/2 (pow y 2))) (* -1 (* y (- y (* 3/2 y))))) x))) (* 3/2 y)) x)) 3/2)))
(+ (* -1/4 (pow x 2)) (pow x 2))
(+ (* -1/4 (pow x 2)) (+ (* 1/2 (* x y)) (pow x 2)))
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(+ (* -1/4 (pow x 2)) (+ (* y (+ (* -1/4 y) (* 1/2 x))) (pow x 2)))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(* (pow y 2) (- (+ (* -1/4 (/ (pow x 2) (pow y 2))) (+ (* 1/2 (/ x y)) (/ (pow x 2) (pow y 2)))) 1/4))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ x y)) 1/4))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (pow x 2)) y)) (* -1/2 x)) y)) 1/4))
(* -1/4 (pow y 2))
(+ (* -1/4 (pow y 2)) (* 1/2 (* x y)))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(+ (* -1/4 (pow y 2)) (* x (+ (* 1/2 y) (* 3/4 x))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* (pow x 2) (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* 1/2 (/ y x))))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 3/4 (* -1 (/ (+ (* -1/2 y) (* 1/4 (/ (pow y 2) x))) x))))
(* -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)))))
(* -1/4 y)
(+ (* -1/4 y) (* 1/4 x))
(+ (* -1/4 y) (* 1/4 x))
(+ (* -1/4 y) (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (* -1/4 (/ y x))))
(* x (+ 1/4 (* -1/4 (/ y x))))
(* x (+ 1/4 (* -1/4 (/ y x))))
(* 1/4 x)
(* -1 (* x (- (* 1/4 (/ y x)) 1/4)))
(* -1 (* x (- (* 1/4 (/ y x)) 1/4)))
(* -1 (* x (- (* 1/4 (/ y x)) 1/4)))
(* 1/4 x)
(+ (* -1/4 y) (* 1/4 x))
(+ (* -1/4 y) (* 1/4 x))
(+ (* -1/4 y) (* 1/4 x))
(* -1/4 y)
(* y (- (* 1/4 (/ x y)) 1/4))
(* y (- (* 1/4 (/ x y)) 1/4))
(* y (- (* 1/4 (/ x y)) 1/4))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* -1/4 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1/4 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1/4 (/ x y)))))

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

eval171.0ms (3.1%)

Memory: -18.8MiB live, 288.1MiB allocated
Compiler: Compiled 29 948 to 2 426 computations (91.9% saved)

prune103.0ms (1.9%)

Memory

19.3MiB live, 215.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1 184	3	1 187
Fresh	4	2	6
Picked	4	1	5
Done	0	0	0
Total	1 192	6	1 198

Accuracy

100.0%

Counts

1 198 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
▶	58.5%	(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)))
▶	50.7%	(*.f64 x #s(literal 3/2 binary64))
✓	50.1%	(*.f64 #s(literal -1/2 binary64) y)
▶	11.7%	x

Compiler

Compiled 65 to 46 computations (29.2% saved)

simplify39.0ms (0.7%)

Memory

1.7MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 3/2 binary64))
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	128	(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 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	12	41
1	19	41
2	28	41
3	50	41
4	80	41
5	120	41
6	200	41
7	317	41
8	432	41
9	512	41
10	519	41
11	521	41
0	521	38

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

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

localize49.0ms (0.9%)

Memory

21.2MiB live, 59.0MiB allocated

Localize:

Found 6 expressions of interest:

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

20.0ms	244×	0	valid
2.0ms	6×	3	valid
1.0ms	6×	2	valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.3% of total)

ival-add: 4.0ms (31.5% of total)

adjust: 1.0ms (7.9% of total)

ival-sub: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

-56.7MiB live, 7.8MiB allocated

Counts

6 → 120

Calls

Call 1

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

Calls

30 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	(+ (* (- y x) -1/2) x)
0.0ms	x	@	-inf	(* x 3/2)
0.0ms	x	@	inf	(* x 3/2)
0.0ms	x	@	inf	(+ (* (- y x) -1/2) x)
0.0ms	x	@	0	(+ (* 3/2 x) (* y -1/2))

rewrite415.0ms (7.6%)

Memory

29.9MiB live, 659.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 204×	`accelerator-lowering-fma.f32`
8 204×	`accelerator-lowering-fma.f64`
5 036×	`-lowering-.f32`
5 036×	`-lowering-.f64`
2 786×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	62	28
2	532	28
3	6463	28
0	8260	25

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 325

Calls

Call 1

Inputs
(+ (* 3/2 x) (* y -1/2))
(* y -1/2)
(* x 3/2)
(+ (* y -1/2) x)
(+ (* (- y x) -1/2) x)
(- y 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)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal 3/2 binary64) (/.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (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))))))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (/.f64 (.f64 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))))))
(fma.f64 (.f64 #s(literal 3/2 binary64) x) (/.f64 (.f64 #s(literal 3/2 binary64) x) (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))))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 (.f64 x x) (/.f64 #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))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 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))))))
(fma.f64 #s(literal 9/4 binary64) (/.f64 (.f64 x x) (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))))))
(fma.f64 (.f64 #s(literal 3/2 binary64) (.f64 x x)) (/.f64 #s(literal 3/2 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))))))
(fma.f64 (.f64 x #s(literal 9/4 binary64)) (/.f64 x (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))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 y y) #s(literal -1/4 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))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) (.f64 x #s(literal -3/4 binary64))) (.f64 (.f64 x x) #s(literal 9/4 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))))))
(neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)))) (neg.f64 (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)))))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 y (.f64 (.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))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 y y) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 y (.f64 (.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 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 y y) #s(literal -1/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))))) (neg.f64 (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 (neg.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683/512 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512 binary64))) (.f64 (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)))) (fma.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 729/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal -9/4 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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 x (.f64 x x))) #s(literal 729/64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) (.f64 (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)))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (fma.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 81/16 binary64)))))
(/.f64 (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal -9/4 binary64) (.f64 x x))) (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81/16 binary64)) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/16 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 y (*.f64 y #s(literal 1/4 binary64))))))
(/.f64 (-.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 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (.f64 y (.f64 y #s(literal 1/4 binary64))))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683/512 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81/16 binary64))) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81/16 binary64)) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.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 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)))))) (neg.f64 (neg.f64 (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 (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 y y) #s(literal -1/4 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal -9/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64)))))
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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 (.f64 x x) #s(literal 9/4 binary64)) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))) (fma.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)))) (/.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 (.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 (/.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 (.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 (.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 y (.f64 y #s(literal 1/4 binary64))) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))))) (fma.f64 (.f64 x x) (/.f64 #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 (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)))) #s(literal 1 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 (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 (.f64 y y) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 19683/512 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512 binary64))) (/.f64 #s(literal 1 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)))))) (fma.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))) #s(literal 729/64 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 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)))))) (fma.f64 x (.f64 (.f64 x x) #s(literal 27/8 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 729/64 binary64)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))))) (fma.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 y (.f64 y #s(literal 1/4 binary64)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 81/16 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 81/16 binary64)) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))))) (fma.f64 x (.f64 x #s(literal 9/4 binary64)) (.f64 y (*.f64 y #s(literal 1/4 binary64)))))
(pow.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))
(pow.f64 (/.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)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) (.f64 x #s(literal -3/2 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 #s(literal -9/4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/2 binary64) x (*.f64 y #s(literal 1/2 binary64))))))
(.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64))) (fma.f64 #s(literal 3/2 binary64) x (.f64 y #s(literal 1/2 binary64)))))
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(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 y y) (*.f64 y (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (.f64 (+.f64 x y) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 y x) (+.f64 x y))) (.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 x x))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (+.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 y x) (+.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (+.f64 x y)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 x y)) #s(literal 1 binary64)) (+.f64 x y))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 x y)))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)) (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))))) (fma.f64 (.f64 y y) (/.f64 y (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)))) (fma.f64 y (/.f64 y (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))) (fma.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (.f64 y y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) y) (*.f64 y y))))
(.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(.f64 (neg.f64 (.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) (fma.f64 y (.f64 y y) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x (+.f64 x y)) (.f64 x (+.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (+.f64 x y)) (-.f64 (.f64 x (+.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))))) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))))

simplify272.0ms (5%)

Memory

-10.6MiB live, 382.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 342×	`accelerator-lowering-fma.f32`
7 342×	`accelerator-lowering-fma.f64`
2 760×	`-lowering-.f32`
2 760×	`-lowering-.f64`
1 376×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	525
1	193	525
2	533	525
3	1446	525
4	3539	525
5	4985	525
6	7040	525
0	8121	471

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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)
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)))
(+ 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)))))

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

eval72.0ms (1.3%)

Memory: 15.0MiB live, 130.9MiB allocated
Compiler: Compiled 10 895 to 911 computations (91.6% saved)

prune68.0ms (1.2%)

Memory

-16.4MiB live, 110.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	445	0	445
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	445	6	451

Accuracy

100.0%

Counts

451 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
✓	58.5%	(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)))
✓	50.7%	(*.f64 x #s(literal 3/2 binary64))
✓	50.1%	(*.f64 #s(literal -1/2 binary64) y)
✓	11.7%	x

Compiler

Compiled 184 to 77 computations (58.2% saved)

regimes15.0ms (0.3%)

Memory

29.8MiB live, 29.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
5.0ms	y
5.0ms	x

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)

regimes11.0ms (0.2%)

Memory

-18.4MiB live, 19.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

5.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

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
82.5%	3	`x`
80.2%	3	`y`
60.1%	2	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

-32.3MiB live, 5.3MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
81.2%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.1%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
50.1%	1	`y`
51.8%	2	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB 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
11.7%	1	`y`
11.7%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
11.7%	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch31.0ms (0.6%)

Memory

-24.5MiB live, 53.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.7508073797807997e-42	1.1763896741966613e-39
13.0ms	-2423310788088799000.0	-138634473884499.45

Samples

11.0ms	223×	0	valid
2.0ms	23×	1	valid
1.0ms	10×	2	valid

Compiler

Compiled 220 to 171 computations (22.3% saved)

Precisions

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

ival-div: 2.0ms (34% of total)

ival-sub: 2.0ms (34% of total)

adjust: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

exact: 0.0ms (0% of total)

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

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

bsearch26.0ms (0.5%)

Memory

30.3MiB live, 67.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7759967560397843e-63	2.875781360916284e-53
9.0ms	-1382033267880.1387	-22846174196.35213

Samples

9.0ms	249×	0	valid
1.0ms	17×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 216 to 181 computations (16.2% saved)

Precisions

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

ival-div: 2.0ms (34.5% of total)

ival-sub: 2.0ms (34.5% of total)

ival-add: 1.0ms (17.2% 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)

bsearch17.0ms (0.3%)

Memory

-4.4MiB live, 28.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.4821403865026472e+178	-3.4459574344584e+159

Samples

10.0ms

160×

valid

Compiler

Compiled 112 to 91 computations (18.8% saved)

Precisions

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

ival-sub: 5.0ms (72.5% of total)

ival-div: 1.0ms (14.5% of total)

ival-add: 1.0ms (14.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Memory

17.1MiB live, 17.0MiB 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	26	52
1	36	52
2	41	52
3	43	52
4	44	52

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 x #s(literal -5500000000000000 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 3432790011539591/3064991081731777716716694054300618367237478244367204352 binary64)) (fma.f64 y #s(literal -1/2 binary64) x) (.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -180000000000 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 6658045131145681/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -3500000000000000187505729732306570329990106951438851798871106771589245317309907882995049453883803840156772758814676940477883401174745933956286942642243360987281878941696 binary64)) x (*.f64 #s(literal -1/2 binary64) y))
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 x #s(literal -5500000000000000 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 3432790011539591/3064991081731777716716694054300618367237478244367204352 binary64)) (fma.f64 y #s(literal -1/2 binary64) x) (.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -5500000000000000 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 3432790011539591/3064991081731777716716694054300618367237478244367204352 binary64)) (fma.f64 y #s(literal -1/2 binary64) x) (.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -180000000000 binary64)) (.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 6658045131145681/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -180000000000 binary64)) (.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 6658045131145681/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -3500000000000000187505729732306570329990106951438851798871106771589245317309907882995049453883803840156772758814676940477883401174745933956286942642243360987281878941696 binary64)) x (*.f64 #s(literal -1/2 binary64) y))
(if (<=.f64 x #s(literal -3500000000000000187505729732306570329990106951438851798871106771589245317309907882995049453883803840156772758814676940477883401174745933956286942642243360987281878941696 binary64)) x (*.f64 y #s(literal -1/2 binary64)))
x

soundness760.0ms (13.9%)

Memory

-35.3MiB live, 579.9MiB allocated

Rules

11 298×	`accelerator-lowering-fma.f32`
11 298×	`accelerator-lowering-fma.f64`
7 504×	`accelerator-lowering-fma.f32`
7 504×	`accelerator-lowering-fma.f64`
7 240×	`accelerator-lowering-fma.f32`

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
0	434	2724
1	1393	2503
2	4620	2356
0	8623	2181
0	25	96
1	160	90
2	1497	90
0	8516	83
0	6	15
1	45	15
2	397	15
3	5077	15
0	8178	14

Stop Event

1×	done
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 137 to 81 computations (40.9% saved)

preprocess73.0ms (1.3%)

Memory: -7.5MiB live, 113.7MiB allocated
Compiler: Compiled 152 to 76 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
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	12	41
1	19	41
2	28	41
3	50	41
4	80	41
5	120	41
6	200	41
7	317	41
8	432	41
9	512	41
10	519	41
11	521	41
0	521	38

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
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	12	41
1	19	41
2	28	41
3	50	41
4	80	41
5	120	41
6	200	41
7	317	41
8	432	41
9	512	41
10	519	41
11	521	41
0	521	38

analyze0.0ms (0%)

sample700.0ms (12.8%)

preprocess57.0ms (1%)

explain93.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.6%)

localize24.0ms (0.4%)

series6.0ms (0.1%)

rewrite656.0ms (12%)

simplify308.0ms (5.6%)

eval50.0ms (0.9%)

prune55.0ms (1%)

simplify345.0ms (6.3%)

localize122.0ms (2.2%)

series23.0ms (0.4%)

rewrite411.0ms (7.5%)

simplify424.0ms (7.7%)

eval171.0ms (3.1%)

prune103.0ms (1.9%)

simplify39.0ms (0.7%)

localize49.0ms (0.9%)

series14.0ms (0.3%)

rewrite415.0ms (7.6%)

simplify272.0ms (5%)

eval72.0ms (1.3%)

prune68.0ms (1.2%)

regimes15.0ms (0.3%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch31.0ms (0.6%)

bsearch26.0ms (0.5%)

bsearch17.0ms (0.3%)

simplify8.0ms (0.2%)

soundness760.0ms (13.9%)

preprocess73.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	41
1	45	35
2	139	35
3	373	35
4	647	35
5	807	35
6	846	35
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	12	41
1	19	41
2	28	41
3	50	41
4	80	41
5	120	41
6	200	41
7	317	41
8	432	41
9	512	41
10	519	41
11	521	41
0	521	38