Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, B

analyze21.0ms (0.2%)

Memory

8.0MiB live, 46.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample868.0ms (10.2%)

Memory

20.6MiB live, 1 284.3MiB allocated

Samples

668.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-mult: 212.0ms (58.4% of total)

ival-div: 71.0ms (19.6% of total)

ival-sub: 65.0ms (17.9% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

preprocess381.0ms (4.5%)

Memory

-33.5MiB live, 465.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 700×	`accelerator-lowering-fma.f32`
7 700×	`accelerator-lowering-fma.f64`
3 752×	`-lowering-.f32`
3 752×	`-lowering-.f64`
2 616×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	71	45
2	303	35
3	1658	35
4	3588	35
5	5120	35
6	5897	35
7	6043	35
8	6091	35
9	6178	35
10	6178	35
11	6640	35
12	7256	35
0	7	9
1	18	9
2	52	7
3	129	7
4	304	7
5	625	7
6	1133	7
7	3997	7
8	7010	7
0	8063	7

Stop Event

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

Calls

Call 1

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

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

explain69.0ms (0.8%)

Memory

36.5MiB live, 156.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	1	(2.7106683974975386e-67 5.838305936792124e-254)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	33
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	28	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	28

Confusion

	Predicted +	Predicted -
+	61	1
-	0	194

Precision

1.0

Recall

0.9838709677419355

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	1
-	0	0	194

Precision?

1.0

Recall?

0.9838709677419355

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-mult: 6.0ms (40% of total)

ival-sub: 5.0ms (33.3% of total)

ival-div: 3.0ms (20% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune13.0ms (0.2%)

Memory

-37.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify287.0ms (3.4%)

Memory

15.4MiB live, 337.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

7 700×	`accelerator-lowering-fma.f32`
7 700×	`accelerator-lowering-fma.f64`
3 752×	`-lowering-.f32`
3 752×	`-lowering-.f64`
1 972×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	18	23
2	52	21
3	129	21
4	304	21
5	625	21
6	1133	21
7	3997	21
8	7010	21
0	8063	21

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

10.5MiB live, 48.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	77.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

15.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (60.1% of total)

ival-div: 2.0ms (24% of total)

ival-sub: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-17.8MiB live, 21.1MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite424.0ms (5%)

Memory

13.3MiB live, 577.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 688×	`/-lowering-/.f32`
5 688×	`/-lowering-/.f64`
4 398×	`-lowering-.f32`
4 398×	`-lowering-.f64`
2 466×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	39	20
2	297	18
3	4220	18
0	10113	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 623

Calls

Call 1

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

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

simplify448.0ms (5.3%)

Memory

25.0MiB live, 648.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 868×	`accelerator-lowering-fma.f32`
16 868×	`accelerator-lowering-fma.f64`
2 616×	`-lowering-.f32`
2 616×	`-lowering-.f64`
2 482×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	106	399
2	239	399
3	553	369
4	1457	369
5	2639	369
6	4362	369
7	5570	369
8	6051	369
9	6296	369
10	6416	369
11	7573	369
0	8021	366

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval186.0ms (2.2%)

Memory: 14.5MiB live, 207.1MiB allocated
Compiler: Compiled 16 781 to 1 712 computations (89.8% saved)

prune176.0ms (2.1%)

Memory

-61.7MiB live, 248.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	700	7	707
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	701	7	708

Accuracy

100.0%

Counts

708 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.2%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
	87.8%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
▶	37.2%	(/.f64 (neg.f64 y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	53.1%	(/.f64 #s(literal 1/2 binary64) y)
▶	48.4%	(/.f64 #s(literal -1/2 binary64) x)
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	76.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 126 to 88 computations (30.2% saved)

simplify237.0ms (2.8%)

Memory

30.5MiB live, 415.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	768	(/.f64 (neg.f64 y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	64	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Rules

5 534×	`accelerator-lowering-fma.f32`
5 534×	`accelerator-lowering-fma.f64`
3 796×	`-lowering-.f32`
3 796×	`-lowering-.f64`
1 988×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	37	63
2	116	63
3	328	63
4	996	63
5	2530	63
6	4868	63
0	8817	63

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ 1/2 y) (/ 1/2 x))
(/ 1/2 y)
1/2
y
(/ 1/2 x)
x
(/ -1/2 x)
-1/2
x
(/ 1/2 y)
1/2
y
(/ (neg y) (* (* x 2) y))
(neg y)
y
(* (* x 2) y)
(* x 2)
x
2
(* (/ 1/2 (* x y)) (- x y))
(/ 1/2 (* x y))
1/2
(* x y)
x
y
(- x y)

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

localize86.0ms (1%)

Memory

13.4MiB live, 130.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	accuracy	77.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	77.2%	(/.f64 (neg.f64 y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

53.0ms

256×

valid

Compiler

Compiled 72 to 19 computations (73.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 28.0ms (68.1% of total)

ival-div: 9.0ms (21.9% of total)

ival-sub: 2.0ms (4.9% of total)

ival-neg: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-15.7MiB live, 21.8MiB allocated

Counts

12 → 228

Calls

Call 1

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

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

57 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(neg y)
0.0ms	y	@	0	(- (/ 1/2 y) (/ 1/2 x))
0.0ms	x	@	inf	(/ 1/2 (* x y))
0.0ms	y	@	inf	(/ 1/2 (* x y))
0.0ms	y	@	0	(/ 1/2 (* x y))

rewrite670.0ms (7.9%)

Memory

7.6MiB live, 483.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 618×	`/-lowering-/.f32`
4 618×	`/-lowering-/.f64`
4 032×	`-lowering-.f32`
4 032×	`-lowering-.f64`
3 970×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	97	47
2	893	47
0	8606	47

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 004

Calls

Call 1

Inputs
(- (/ 1/2 y) (/ 1/2 x))
(/ 1/2 y)
(/ 1/2 x)
(/ -1/2 x)
(/ (neg y) (* (* x 2) y))
(neg y)
(* (* x 2) y)
(* x 2)
(* (/ 1/2 (* x y)) (- x y))
(/ 1/2 (* x y))
(* x y)
(- x y)

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

simplify382.0ms (4.5%)

Memory

6.0MiB live, 758.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 568×	`accelerator-lowering-fma.f32`
15 568×	`accelerator-lowering-fma.f64`
2 476×	`-lowering-.f32`
2 476×	`-lowering-.f64`
2 312×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	915
1	108	915
2	245	915
3	575	915
4	1492	915
5	2678	915
6	4497	915
7	5751	915
8	6265	915
9	6434	915
10	6552	915
11	7626	915
0	8062	909

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

eval197.0ms (2.3%)

Memory: 3.5MiB live, 320.4MiB allocated
Compiler: Compiled 18 505 to 1 455 computations (92.1% saved)

prune125.0ms (1.5%)

Memory

21.6MiB live, 179.6MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 259	1	1 260
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	1 260	7	1 267

Accuracy

100.0%

Counts

1 267 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.2%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
▶	87.8%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
▶	37.2%	(/.f64 y (.f64 y (.f64 x #s(literal -2 binary64))))
✓	53.1%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.4%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	76.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 62 to 43 computations (30.6% saved)

simplify370.0ms (4.4%)

Memory

-24.5MiB live, 241.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	cost-diff	256	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)
✓	cost-diff	768	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(.f64 y (.f64 x #s(literal -2 binary64)))
✓	cost-diff	640	(/.f64 y (.f64 y (.f64 x #s(literal -2 binary64))))

Rules

4 868×	`accelerator-lowering-fma.f32`
4 868×	`accelerator-lowering-fma.f64`
4 006×	`-lowering-.f32`
4 006×	`-lowering-.f64`
1 354×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	39	66
2	81	66
3	229	66
4	539	66
5	1421	62
6	3051	62
7	5922	62
0	8349	61

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize115.0ms (1.4%)

Memory

-6.5MiB live, 111.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	88.2%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y)
✓	accuracy	87.8%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) y))
✓	accuracy	100.0%	(.f64 y (.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	77.2%	(/.f64 y (.f64 y (.f64 x #s(literal -2 binary64))))

Samples

71.0ms

256×

valid

Compiler

Compiled 74 to 20 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 22.0ms (63% of total)

ival-div: 10.0ms (28.6% of total)

ival-sub: 1.0ms (2.9% of total)

ival-add: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

-19.4MiB live, 20.1MiB allocated

Counts

11 → 240

Calls

Call 1

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

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

60 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(+ (* -1/2 (/ y x)) 1/2)
3.0ms	y	@	0	(/ (+ (* -1/2 (/ y x)) 1/2) y)
1.0ms	y	@	-inf	(/ (+ (* -1/2 (/ y x)) 1/2) y)
1.0ms	y	@	inf	(/ (+ (* -1/2 (/ y x)) 1/2) y)
0.0ms	x	@	inf	(* (/ 1 (- x y)) y)

rewrite412.0ms (4.9%)

Memory

35.2MiB live, 613.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 780×	`-lowering-.f32`
4 780×	`-lowering-.f64`
3 942×	`/-lowering-/.f32`
3 942×	`/-lowering-/.f64`
3 204×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	104	55
2	716	53
3	7891	53
0	8690	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 939

Calls

Call 1

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

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

simplify311.0ms (3.7%)

Memory

-1.2MiB live, 601.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 348×	`accelerator-lowering-fma.f32`
9 348×	`accelerator-lowering-fma.f64`
3 158×	`-lowering-.f32`
3 158×	`-lowering-.f64`
2 150×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1481
1	623	1441
2	1667	1373
3	5854	1373
0	8159	1303

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

eval141.0ms (1.7%)

Memory: 19.6MiB live, 285.3MiB allocated
Compiler: Compiled 20 900 to 2 543 computations (87.8% saved)

prune245.0ms (2.9%)

Memory

17.0MiB live, 248.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 178	1	1 179
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	1 179	7	1 186

Accuracy

100.0%

Counts

1 186 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.2%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	37.2%	(/.f64 y (.f64 y (.f64 x #s(literal -2 binary64))))
▶	88.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (-.f64 x y))))
✓	53.1%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.4%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	76.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify196.0ms (2.3%)

Memory

-23.2MiB live, 312.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

3 764×	`accelerator-lowering-fma.f32`
3 764×	`accelerator-lowering-fma.f64`
3 220×	`-lowering-.f32`
3 220×	`-lowering-.f64`
2 414×	`/-lowering-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	14	27
2	27	27
3	63	27
4	141	27
5	352	25
6	799	25
7	2260	25
8	5550	25
9	7235	25
10	7916	25
0	8073	25

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize24.0ms (0.3%)

Memory

-2.2MiB live, 40.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (-.f64 x y))))
✓	accuracy	100.0%	(/.f64 y (-.f64 x y))
✓	accuracy	88.0%	(*.f64 x (/.f64 y (-.f64 x y)))

Samples

14.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-div: 3.0ms (41.3% of total)

ival-sub: 2.0ms (27.5% of total)

ival-mult: 2.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

24 calls:

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

rewrite344.0ms (4.1%)

Memory

4.3MiB live, 529.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 414×	`/-lowering-/.f32`
5 414×	`/-lowering-/.f64`
3 968×	`-lowering-.f32`
3 968×	`-lowering-.f64`
1 950×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	41	24
2	292	24
3	3126	24
0	9530	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 689

Calls

Call 1

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

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

simplify465.0ms (5.5%)

Memory

2.1MiB live, 642.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 542×	`accelerator-lowering-fma.f32`
14 542×	`accelerator-lowering-fma.f64`
3 502×	`-lowering-.f32`
3 502×	`-lowering-.f64`
2 146×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	824
1	548	804
2	1492	739
3	5372	715
0	8153	666

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

eval132.0ms (1.6%)

Memory: -0.5MiB live, 225.0MiB allocated
Compiler: Compiled 19 517 to 2 651 computations (86.4% saved)

prune101.0ms (1.2%)

Memory

-22.4MiB live, 273.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	784	1	785
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	785	7	792

Accuracy

100.0%

Counts

792 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.2%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	37.2%	(/.f64 y (.f64 y (.f64 x #s(literal -2 binary64))))
	52.8%	(/.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 y x) y))
✓	53.1%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.4%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	76.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 143 to 74 computations (48.3% saved)

regimes14.0ms (0.2%)

Memory

-4.4MiB live, 34.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	x
4.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
87.0%	5	`x`
89.4%	5	`y`
89.4%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
89.3%	5	`y`
89.2%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes97.0ms (1.1%)

Memory

-26.3MiB live, 12.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	y
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	x

Results

Accuracy	Segments	Branch
77.2%	3	`x`
58.9%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
78.7%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.4%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
48.4%	1	`x`
48.4%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.000994144912577e+307	+inf
0.0ms	-0.0	4.177146751965792e-88
0.0ms	-1.272803368115809e-126	-0.0
0.0ms	-inf	-1.8290346894401484e+306

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch80.0ms (0.9%)

Memory

-0.9MiB live, 77.0MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	1.1969893079880347e+87	7.0783387933875e+102
11.0ms	3.148888731247518e-226	5.934705568316507e-219
12.0ms	-1.1781133672165638e-137	-4.349809115553269e-140
8.0ms	-3.546729984240826e+130	-2.299221883478475e+129

Samples

59.0ms

528×

valid

Compiler

Compiled 608 to 441 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 39.0ms (82.2% of total)

ival-div: 5.0ms (10.5% of total)

ival-sub: 3.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Memory

10.4MiB live, 48.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.31795349806491e+69	6.782607041210229e+72
9.0ms	-16375079514.762262	-131805391.65963751

Samples

11.0ms

240×

valid

Compiler

Compiled 194 to 162 computations (16.5% saved)

Precisions

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

ival-mult: 3.0ms (48% of total)

ival-div: 2.0ms (32% of total)

ival-sub: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

simplify52.0ms (0.6%)

Memory

-26.6MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	57	143
2	68	143
3	76	143
4	82	143
5	84	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -3048582568667961/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal -35000000000000000861095044974479056097402512753695386071835406042081820346744789394408155834445273305364066507701518619573470887936 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -2359774195669897/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 y #s(literal 4610357726896185/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6800000000000000092598308408561610151129654568894640091912048026851414195061359843441925308740966285312 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -7000000000 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 2349999999999999978886932888357595251678801468880678643125403592425472 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -3048582568667961/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -3048582568667961/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal -35000000000000000861095044974479056097402512753695386071835406042081820346744789394408155834445273305364066507701518619573470887936 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -2359774195669897/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 y #s(literal 4610357726896185/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6800000000000000092598308408561610151129654568894640091912048026851414195061359843441925308740966285312 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -35000000000000000861095044974479056097402512753695386071835406042081820346744789394408155834445273305364066507701518619573470887936 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -2359774195669897/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 4610357726896185/794889263257962974796277498092801308291525640763748664903194643469338087775424965801409745320266996710649718116931109481559848982586784968419475084821084743272680947722675151641735826243378403750534655587182832000457137589153821622272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6800000000000000092598308408561610151129654568894640091912048026851414195061359843441925308740966285312 binary64)) (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -7000000000 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 2349999999999999978886932888357595251678801468880678643125403592425472 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)

soundness648.0ms (7.6%)

Memory

4.5MiB live, 363.6MiB allocated

Rules

16 868×	`accelerator-lowering-fma.f32`
16 868×	`accelerator-lowering-fma.f64`
5 688×	`/-lowering-/.f32`
5 688×	`/-lowering-/.f64`
4 398×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	106	399
2	239	399
3	553	369
4	1457	369
5	2639	369
6	4362	369
7	5570	369
8	6051	369
9	6296	369
10	6416	369
11	7573	369
0	8021	366
0	7	20
1	39	20
2	297	18
3	4220	18
0	10113	18

Stop Event

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

Compiler

Compiled 202 to 87 computations (56.9% saved)

preprocess58.0ms (0.7%)

Memory: 22.6MiB live, 139.5MiB allocated
Compiler: Compiled 334 to 118 computations (64.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze21.0ms (0.2%)

sample868.0ms (10.2%)

preprocess381.0ms (4.5%)

explain69.0ms (0.8%)

eval0.0ms (0%)

prune13.0ms (0.2%)

simplify287.0ms (3.4%)

localize23.0ms (0.3%)

series10.0ms (0.1%)

rewrite424.0ms (5%)

simplify448.0ms (5.3%)

eval186.0ms (2.2%)

prune176.0ms (2.1%)

simplify237.0ms (2.8%)

localize86.0ms (1%)

series9.0ms (0.1%)

rewrite670.0ms (7.9%)

simplify382.0ms (4.5%)

eval197.0ms (2.3%)

prune125.0ms (1.5%)

simplify370.0ms (4.4%)

localize115.0ms (1.4%)

series27.0ms (0.3%)

rewrite412.0ms (4.9%)

simplify311.0ms (3.7%)

eval141.0ms (1.7%)

prune245.0ms (2.9%)

simplify196.0ms (2.3%)

localize24.0ms (0.3%)

series3.0ms (0%)

rewrite344.0ms (4.1%)

simplify465.0ms (5.5%)

eval132.0ms (1.6%)

prune101.0ms (1.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes97.0ms (1.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch80.0ms (0.9%)

bsearch22.0ms (0.3%)

simplify52.0ms (0.6%)

soundness648.0ms (7.6%)

preprocess58.0ms (0.7%)

end0.0ms (0%)

Profiling