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

analyze22.0ms (0.3%)

Memory

10.1MiB live, 47.9MiB 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)

sample1.6s (19.9%)

Memory

11.3MiB live, 986.9MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 551.0ms

ival-mult: 317.0ms (57.6% of total)

ival-div: 172.0ms (31.2% of total)

ival-sub: 48.0ms (8.7% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess653.0ms (8%)

Memory

-15.8MiB live, 408.8MiB 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))))

explain72.0ms (0.9%)

Memory

-24.7MiB live, 173.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
63	-	5	(-1.0994040918875507e-289 1.389449422594674e-23)	`(/.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	29	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	29
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	29	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	29

Confusion

	Predicted +	Predicted -
+	58	5
-	0	193

Precision

1.0

Recall

0.9206349206349206

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	5
-	0	0	193

Precision?

1.0

Recall?

0.9206349206349206

Freqs

test

number	freq
0	198
1	58

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: 14.0ms

ival-mult: 7.0ms (51.2% of total)

ival-sub: 3.0ms (21.9% of total)

ival-div: 3.0ms (21.9% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify274.0ms (3.4%)

Memory

31.7MiB live, 424.7MiB 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

-20.3MiB live, 58.3MiB 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	77.8%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (43.9% of total)

ival-sub: 2.0ms (29.3% of total)

ival-div: 2.0ms (29.3% 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

26.2MiB live, 26.2MiB 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
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))
1.0ms	y	@	0	(/ (- x y) (* (* x 2) y))

rewrite449.0ms (5.5%)

Memory

-13.5MiB live, 781.8MiB 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)

simplify693.0ms (8.5%)

Memory

2.9MiB live, 558.7MiB 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))

eval149.0ms (1.8%)

Memory: 13.8MiB live, 123.6MiB allocated
Compiler: Compiled 16 781 to 1 712 computations (89.8% saved)

prune448.0ms (5.5%)

Memory

-16.2MiB live, 172.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	701	6	707
Fresh	0	0	0
Picked	0	1	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
	90.3%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (-.f64 x y)))
✓	77.8%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	39.7%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	50.0%	(/.f64 #s(literal 1/2 binary64) y)
▶	52.1%	(/.f64 #s(literal -1/2 binary64) x)
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	76.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 111 to 75 computations (32.4% saved)

simplify262.0ms (3.2%)

Memory

-14.2MiB live, 420.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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	640	(/.f64 x (.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

4 418×	`-lowering-.f32`
4 418×	`-lowering-.f64`
4 152×	`accelerator-lowering-fma.f32`
4 152×	`accelerator-lowering-fma.f64`
2 230×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	31	61
2	83	61
3	171	61
4	477	61
5	1312	61
6	4740	61
0	8067	61

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

localize53.0ms (0.6%)

Memory

5.4MiB live, 133.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.0%	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	accuracy	77.4%	(.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	77.7%	(/.f64 x (.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

31.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 10.0ms (53.3% of total)

ival-mult: 6.0ms (32% of total)

ival-sub: 2.0ms (10.7% 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

-13.8MiB live, 25.1MiB allocated

Counts

11 → 216

Calls

Call 1

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

54 calls:

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

rewrite312.0ms (3.8%)

Memory

22.1MiB live, 524.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 324×	`accelerator-lowering-fma.f32`
5 324×	`accelerator-lowering-fma.f64`
4 510×	`/-lowering-/.f32`
4 510×	`/-lowering-/.f64`
4 024×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	90	45
2	817	45
0	8573	45

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 062

Calls

Call 1

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

simplify427.0ms (5.2%)

Memory

5.0MiB live, 525.0MiB 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	891
1	108	891
2	245	891
3	575	891
4	1497	891
5	2679	891
6	4508	891
7	5770	891
8	6281	891
9	6436	891
10	6554	891
11	7628	891
0	8064	885

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

eval167.0ms (2%)

Memory: 19.4MiB live, 251.0MiB allocated
Compiler: Compiled 20 572 to 1 366 computations (93.4% saved)

prune111.0ms (1.4%)

Memory

3.6MiB live, 160.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 334	0	1 334
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	1 334	7	1 341

Accuracy

100.0%

Counts

1 341 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.3%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (-.f64 x y)))
✓	77.8%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	39.7%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	50.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	52.1%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	76.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 61 to 41 computations (32.8% saved)

simplify225.0ms (2.7%)

Memory

-6.0MiB live, 340.5MiB 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 #s(literal 1/2 binary64) x)
✓	cost-diff	768	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (-.f64 x y)))

Rules

6 480×	`accelerator-lowering-fma.f32`
6 480×	`accelerator-lowering-fma.f64`
3 318×	`-lowering-.f32`
3 318×	`-lowering-.f64`
2 496×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	13	23
2	33	23
3	84	23
4	219	21
5	513	21
6	1431	21
7	5152	21
0	8642	21

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize30.0ms (0.4%)

Memory

-34.5MiB live, 41.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 y (-.f64 x y))
✓	accuracy	90.3%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (-.f64 x y)))

Samples

23.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 14.0ms (87% of total)

ival-sub: 1.0ms (6.2% 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

8.7MiB live, 8.7MiB allocated

Counts

4 → 84

Calls

Call 1

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

21 calls:

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

rewrite451.0ms (5.5%)

Memory

3.4MiB live, 508.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 240×	`-lowering-.f32`
5 240×	`-lowering-.f64`
4 216×	`/-lowering-/.f32`
4 216×	`/-lowering-/.f64`
2 050×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	48	20
2	378	20
3	4622	20
0	9424	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 745

Calls

Call 1

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

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

simplify472.0ms (5.8%)

Memory

11.4MiB live, 531.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 458×	`accelerator-lowering-fma.f32`
12 458×	`accelerator-lowering-fma.f64`
3 660×	`-lowering-.f32`
3 660×	`-lowering-.f64`
2 092×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	564
1	393	562
2	1065	529
3	3734	505
0	8276	477

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

eval131.0ms (1.6%)

Memory: -1.7MiB live, 239.4MiB allocated
Compiler: Compiled 17 816 to 2 255 computations (87.3% saved)

prune148.0ms (1.8%)

Memory

1.8MiB live, 237.8MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	829	0	829
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	829	7	836

Accuracy

100.0%

Counts

836 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.3%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y (-.f64 x y)))
✓	77.8%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	39.7%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	50.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	52.1%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	76.6%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 110 to 60 computations (45.5% saved)

regimes9.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	(/.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

-18.3MiB live, 20.0MiB allocated

Counts

5 → 5

Calls

Call 1

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

Calls

3 calls:

3.0ms	y
2.0ms	x
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
88.1%	5	`x`
89.3%	5	`y`
89.3%	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

12.4MiB live, 12.4MiB allocated

Counts

4 → 5

Calls

Call 1

Inputs
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 x (.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
88.1%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
89.0%	5	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes8.0ms (0.1%)

Memory

-23.5MiB live, 16.5MiB allocated

Counts

3 → 3

Calls

Call 1

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

4.0ms	x
2.0ms	y
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
76.1%	3	`x`
57.6%	3	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
81.2%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory

6.8MiB live, 6.8MiB 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	x
1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
52.1%	1	`x`
52.1%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch89.0ms (1.1%)

Memory

-3.6MiB live, 71.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	2.062492145395734e+57	1.515850262226632e+64
9.0ms	7.585120272692505e-191	7.168004219456301e-189
37.0ms	-4.5202422965209986e-159	-1.9284788338510362e-160
11.0ms	-3.3168907422950474e+142	-1.1603015677292496e+140

Samples

23.0ms

496×

valid

Compiler

Compiled 572 to 415 computations (27.4% saved)

Precisions

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

ival-mult: 6.0ms (45.8% of total)

ival-sub: 3.0ms (22.9% of total)

ival-div: 3.0ms (22.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.6%)

Memory

26.2MiB live, 106.3MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	2.062492145395734e+57	1.515850262226632e+64
10.0ms	7.585120272692505e-191	7.168004219456301e-189
12.0ms	-4.5202422965209986e-159	-1.9284788338510362e-160
12.0ms	-1.976177509431938e+91	-9.559941275378831e+81

Samples

29.0ms

512×

valid

Compiler

Compiled 590 to 428 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (57.1% of total)

ival-sub: 3.0ms (19% of total)

ival-div: 3.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

bsearch32.0ms (0.4%)

Memory

-9.9MiB live, 65.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.851867723354794e-60	8.675665902328583e-55
16.0ms	-717469.8051152662	-1.6142585306654949e-15

Samples

17.0ms

320×

valid

Compiler

Compiled 254 to 212 computations (16.5% saved)

Precisions

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

ival-mult: 4.0ms (47.3% of total)

ival-sub: 2.0ms (23.6% of total)

ival-div: 2.0ms (23.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB 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	44	111
1	55	111
2	67	111
3	75	111
4	81	111
5	83	111

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 y #s(literal -33000000000000002083288186954618442221867360435416998172454223708531854786048982307853599765017759506256419842732151063653312772764296986755072 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -8864321588796067/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 y #s(literal 4389399446348979/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 15000000000000001050557103807267412186361284427160984029581279232 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -18999999999999998797807080864731115480023335522048459491818970348676348754396220969405382656 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 y #s(literal 2947168199691457/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 15000000000000001050557103807267412186361284427160984029581279232 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 -4410161389954167/77371252455336267181195264 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 6332379880165729/113078212145816597093331040047546785012958969400039613319782796882727665664 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 y #s(literal -33000000000000002083288186954618442221867360435416998172454223708531854786048982307853599765017759506256419842732151063653312772764296986755072 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -8864321588796067/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 y #s(literal 4389399446348979/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 15000000000000001050557103807267412186361284427160984029581279232 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -33000000000000002083288186954618442221867360435416998172454223708531854786048982307853599765017759506256419842732151063653312772764296986755072 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -8864321588796067/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (if (<=.f64 y #s(literal 4389399446348979/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 15000000000000001050557103807267412186361284427160984029581279232 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 y #s(literal -18999999999999998797807080864731115480023335522048459491818970348676348754396220969405382656 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 y #s(literal 2947168199691457/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 15000000000000001050557103807267412186361284427160984029581279232 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 -18999999999999998797807080864731115480023335522048459491818970348676348754396220969405382656 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal -4748743708283607/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 binary64)) (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 2947168199691457/1254114127528279663858649702758819738757691336351197686075754380957778013777036862877289423055073845679040662969631723812346323072954131093770936672842951023567968290121184491680065097304421119039367020544 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 15000000000000001050557103807267412186361284427160984029581279232 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 -4410161389954167/77371252455336267181195264 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 6332379880165729/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)

soundness669.0ms (8.2%)

Memory

-22.8MiB live, 336.9MiB 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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 170 to 85 computations (50% saved)

preprocess73.0ms (0.9%)

Memory: 37.1MiB live, 181.4MiB allocated
Compiler: Compiled 270 to 114 computations (57.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.3%)

sample1.6s (19.9%)

preprocess653.0ms (8%)

explain72.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify274.0ms (3.4%)

localize23.0ms (0.3%)

series9.0ms (0.1%)

rewrite449.0ms (5.5%)

simplify693.0ms (8.5%)

eval149.0ms (1.8%)

prune448.0ms (5.5%)

simplify262.0ms (3.2%)

localize53.0ms (0.6%)

series9.0ms (0.1%)

rewrite312.0ms (3.8%)

simplify427.0ms (5.2%)

eval167.0ms (2%)

prune111.0ms (1.4%)

simplify225.0ms (2.7%)

localize30.0ms (0.4%)

series3.0ms (0%)

rewrite451.0ms (5.5%)

simplify472.0ms (5.8%)

eval131.0ms (1.6%)

prune148.0ms (1.8%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch89.0ms (1.1%)

bsearch53.0ms (0.6%)

bsearch32.0ms (0.4%)

simplify11.0ms (0.1%)

soundness669.0ms (8.2%)

preprocess73.0ms (0.9%)

end0.0ms (0%)

Profiling