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

analyze54.0ms (0.7%)

Memory

3.4MiB live, 41.8MiB 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)

sample925.0ms (12.2%)

Memory

-8.6MiB live, 1 001.8MiB allocated

Samples

653.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-div: 176.0ms (49.7% of total)

ival-mult: 109.0ms (30.8% of total)

ival-sub: 57.0ms (16.1% of total)

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

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

preprocess471.0ms (6.2%)

Memory

5.5MiB live, 489.3MiB allocated

Algorithm

2×	egg-herbie

Rules

7 700×	`accelerator-lowering-fma.f32`
7 700×	`accelerator-lowering-fma.f64`
3 752×	`-lowering-.f32`
3 752×	`-lowering-.f64`
2 494×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	83	54
2	334	42
3	1760	42
4	3763	42
5	5181	42
6	5943	42
7	6084	42
8	6134	42
9	6222	42
10	6222	42
11	6684	42
12	7300	42
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 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

Call 2

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

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

explain82.0ms (1.1%)

Memory

-2.8MiB live, 153.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
63	-	1	(3.0539325258723278e-96 -4.053504973712874e-228)	`(/.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/o	42	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	42
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	20	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	20

Confusion

	Predicted +	Predicted -
+	62	1
-	0	193

Precision

1.0

Recall

0.9841269841269841

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	1
-	0	0	193

Precision?

1.0

Recall?

0.9841269841269841

Freqs

test

number	freq
0	194
1	62

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: 13.0ms

ival-mult: 6.0ms (46.8% of total)

ival-sub: 3.0ms (23.4% of total)

ival-div: 3.0ms (23.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify254.0ms (3.3%)

Memory

-1.3MiB live, 590.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize24.0ms (0.3%)

Memory

-14.3MiB live, 66.0MiB 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	76.7%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

15.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 4.0ms (46.4% of total)

ival-mult: 3.0ms (34.8% of total)

ival-sub: 2.0ms (23.2% 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

30.6MiB live, 30.6MiB 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	x	@	-inf	(/ (- x y) (* (* x 2) y))

rewrite473.0ms (6.2%)

Memory

-44.9MiB live, 813.7MiB 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) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.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)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.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)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.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 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 y #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(-.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) y) (/.f64 #s(literal 1/2 binary64) x)) (/.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) y) (/.f64 #s(literal 1/2 binary64) x)) (/.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) y) (/.f64 #s(literal 1/2 binary64) x))) (/.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) y) (/.f64 #s(literal 1/2 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(-.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)) (-.f64 #s(literal 0 binary64) (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 #s(literal 0 binary64) (+.f64 x y))) (.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (+.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 (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (.f64 x (.f64 y #s(literal -2 binary64))))) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))) (.f64 x (.f64 y #s(literal -2 binary64))))))
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(.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) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (+.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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x) (.f64 y #s(literal -2 binary64)))
(.f64 (.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) 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)

simplify476.0ms (6.3%)

Memory

37.9MiB live, 633.6MiB 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 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 1/2 (/ x y)) 1/2) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 1/2 (/ x y)) 1/2) 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 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 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* x y))
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))

eval143.0ms (1.9%)

Memory: -26.5MiB live, 200.4MiB allocated
Compiler: Compiled 16 968 to 1 720 computations (89.9% saved)

prune88.0ms (1.2%)

Memory

-9.7MiB live, 203.1MiB 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
	50.4%	(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	87.0%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	76.7%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	39.6%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	52.0%	(/.f64 #s(literal 1/2 binary64) y)
▶	48.8%	(/.f64 #s(literal -1/2 binary64) x)
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 113 to 79 computations (30.1% saved)

simplify309.0ms (4.1%)

Memory

33.7MiB live, 302.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	cost-diff	-64	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	-64	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	768	(/.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	0	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Rules

4 224×	`accelerator-lowering-fma.f32`
4 224×	`accelerator-lowering-fma.f64`
2 786×	`div-sub`
2 296×	`-lowering-.f32`
2 296×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	28	61
2	52	61
3	77	61
4	105	61
5	175	61
6	351	61
7	811	61
8	2096	61
9	3064	61
10	3924	61
11	4116	61
12	4154	61
13	4154	61
14	5238	61
15	5646	61
16	5843	61
17	6027	61
18	6087	61
19	6195	61
20	6429	61
21	7595	61
22	7595	61
23	7639	61
0	8057	60

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

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

localize52.0ms (0.7%)

Memory

-16.0MiB live, 104.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	accuracy	87.0%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	76.8%	(/.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 67 to 18 computations (73.1% saved)

Precisions

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

ival-div: 12.0ms (62.5% of total)

ival-mult: 4.0ms (20.8% of total)

ival-sub: 1.0ms (5.2% of total)

ival-add: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

24.6MiB live, 24.7MiB allocated

Counts

10 → 192

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

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

Calls

48 calls:

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

rewrite366.0ms (4.8%)

Memory

10.5MiB live, 674.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 526×	`/-lowering-/.f32`
4 526×	`/-lowering-/.f64`
3 954×	`-lowering-.f32`
3 954×	`-lowering-.f64`
3 916×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	94	46
2	773	46
0	8470	44

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 455

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

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

simplify490.0ms (6.4%)

Memory

-32.1MiB live, 320.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 630×	`accelerator-lowering-fma.f32`
4 630×	`accelerator-lowering-fma.f64`
2 922×	`-lowering-.f32`
2 922×	`-lowering-.f64`
1 424×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	912
1	74	912
2	155	912
3	404	912
4	756	840
5	1481	840
6	3875	840
7	5964	840
8	7221	840
9	7724	840
10	7858	840
0	8020	822

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

eval285.0ms (3.7%)

Memory: -15.3MiB live, 137.4MiB allocated
Compiler: Compiled 9 275 to 1 016 computations (89% saved)

prune121.0ms (1.6%)

Memory

2.4MiB live, 124.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	703	0	703
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	703	7	710

Accuracy

100.0%

Counts

710 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	87.0%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	76.7%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	39.6%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.8%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 62 to 43 computations (30.6% saved)

simplify46.0ms (0.6%)

Memory

-4.9MiB live, 34.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	5824	(pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
✓	cost-diff	7104	(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))

Rules

136×	`accelerator-lowering-fma.f32`
136×	`accelerator-lowering-fma.f64`
104×	`-lowering-.f32`
104×	`-lowering-.f64`
56×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	13	32
2	26	32
3	37	32
4	50	32
5	70	32
6	110	32
7	153	32
8	217	32
9	278	32
10	315	32
11	330	32
12	331	32
0	331	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize41.0ms (0.5%)

Memory

4.7MiB live, 48.9MiB 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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.9%	(pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
✓	accuracy	99.6%	(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))

Samples

22.0ms	126×	0	invalid
9.0ms	130×	0	valid

Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 15.0ms (65.6% of total)

ival-div: 4.0ms (17.5% of total)

ival-sqrt: 2.0ms (8.8% of total)

ival-pow2: 2.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

5 → 96

Calls

Call 1

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

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 (* (sqrt (/ 1 y)) (sqrt 1/2))>
#<alt (/ (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (pow y 3)))) (* (sqrt y) (sqrt 1/2))) y)>
#<alt (/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt y)))))) y)>
#<alt (/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow y 3))))) (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y))))))))) y)>
#<alt (* (sqrt (/ 1 x)) (sqrt -1/2))>
#<alt (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))>
#<alt (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2))))>
#<alt (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1/2))>
#<alt (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))>
#<alt (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2)))) (* 1/32 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1/2) 3)))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* y (pow (sqrt -1/2) 5)))))) y)) (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1/2))>
#<alt (/ (+ (* 1/4 (* (sqrt (pow x 3)) (/ 1 (* y (sqrt -1/2))))) (* (sqrt x) (sqrt -1/2))) x)>
#<alt (/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (sqrt x) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2)))))))) x)>
#<alt (/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2))))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/128 (* (sqrt (/ 1 x)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5)))))))))) x)>
#<alt (* (sqrt (/ 1 y)) (sqrt 1/2))>
#<alt (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))>
#<alt (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))>
#<alt (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (+ (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (pow y 5)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))>
#<alt (* (sqrt (/ 1 y)) (sqrt 1/2))>
#<alt (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/32 (* (/ 1 (* x (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow y 3)) (/ 1 (pow (sqrt 1/2) 3)))) (* -1/128 (* (/ 1 (* x (pow (sqrt 1/2) 5))) (sqrt (pow y 5))))) x)) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))>
#<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)>

Calls

24 calls:

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

rewrite511.0ms (6.7%)

Memory

0.9MiB live, 508.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 012×	`accelerator-lowering-fma.f32`
5 012×	`accelerator-lowering-fma.f64`
4 410×	`-lowering-.f32`
4 410×	`-lowering-.f64`
3 798×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	61	28
2	508	28
0	8890	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 454

Calls

Call 1

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

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

simplify386.0ms (5.1%)

Memory

17.8MiB live, 783.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 406×	`accelerator-lowering-fma.f32`
9 406×	`accelerator-lowering-fma.f64`
6 876×	`-lowering-.f32`
6 876×	`-lowering-.f64`
3 086×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	1122
1	478	1044
2	1580	1019
3	6201	1018
4	7506	1018
0	8010	970

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(/ (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (pow y 3)))) (* (sqrt y) (sqrt 1/2))) y)
(/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt y)))))) y)
(/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow y 3))))) (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y))))))))) y)
(* (sqrt (/ 1 x)) (sqrt -1/2))
(+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(* (sqrt (/ 1 x)) (sqrt -1/2))
(+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2)))) (* 1/32 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1/2) 3)))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* y (pow (sqrt -1/2) 5)))))) y)) (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(* (sqrt (/ 1 x)) (sqrt -1/2))
(/ (+ (* 1/4 (* (sqrt (pow x 3)) (/ 1 (* y (sqrt -1/2))))) (* (sqrt x) (sqrt -1/2))) x)
(/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (sqrt x) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2)))))))) x)
(/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2))))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/128 (* (sqrt (/ 1 x)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5)))))))))) x)
(* (sqrt (/ 1 y)) (sqrt 1/2))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (+ (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (pow y 5)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/32 (* (/ 1 (* x (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow y 3)) (/ 1 (pow (sqrt 1/2) 3)))) (* -1/128 (* (/ 1 (* x (pow (sqrt 1/2) 5))) (sqrt (pow y 5))))) x)) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(/ 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)

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) 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 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))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(/ (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (pow y 3)))) (* (sqrt y) (sqrt 1/2))) y)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (.f64 y (.f64 y y))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 y))) y)
(/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt y)))))) y)
(/.f64 (fma.f64 (sqrt.f64 y) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 y (*.f64 y #s(literal -1/4 binary64))))) y)
(/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow y 3))))) (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y))))))))) y)
(/.f64 (fma.f64 y (.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 x (.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 y))) y)
(* (sqrt (/ 1 x)) (sqrt -1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))))
(+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))))
(+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 (.f64 y (.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 y (sqrt.f64 #s(literal -1/2 binary64)))))))
(* (sqrt (/ 1 x)) (sqrt -1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))))
(+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2)))) (* 1/32 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1/2) 3)))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (/.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal 1/32 binary64)) (*.f64 y #s(literal -1/2 binary64))))) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* y (pow (sqrt -1/2) 5)))))) y)) (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 y y))))
(* (sqrt (/ 1 x)) (sqrt -1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64))
(/ (+ (* 1/4 (* (sqrt (pow x 3)) (/ 1 (* y (sqrt -1/2))))) (* (sqrt x) (sqrt -1/2))) x)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) x)
(/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (sqrt x) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2)))))))) x)
(/.f64 (fma.f64 x (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 #s(literal 1/4 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 x x) (sqrt.f64 #s(literal -1/2 binary64))))) x)
(/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2))))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/128 (* (sqrt (/ 1 x)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5)))))))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 y (.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))))) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) x)
(* (sqrt (/ 1 y)) (sqrt 1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 y)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 y)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (+ (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (pow y 5)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 y)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 y)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (* -1 (/ (+ (* 1/32 (* (/ 1 (* x (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (.f64 y (.f64 y y))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/16 binary64))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow y 3)) (/ 1 (pow (sqrt 1/2) 3)))) (* -1/128 (* (/ 1 (* x (pow (sqrt 1/2) 5))) (sqrt (pow y 5))))) x)) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 y) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (.f64 (sqrt.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 x x))))
(/ 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) 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 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 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)

eval69.0ms (0.9%)

Memory: -20.3MiB live, 171.3MiB allocated
Compiler: Compiled 11 500 to 1 330 computations (88.4% saved)

prune59.0ms (0.8%)

Memory

23.6MiB live, 144.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	549	1	550
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	550	7	557

Accuracy

100.0%

Counts

557 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.0%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	76.7%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	39.6%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.8%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	50.4%	(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))

Compiler

Compiled 68 to 43 computations (36.8% saved)

simplify4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	3200	(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))

Rules

4×	`+-lowering-+.f64`
4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`
4×	`+-lowering-+.f32`
2×	`sqrt-lowering-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	10	32
2	11	32
0	11	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize29.0ms (0.4%)

Memory

-26.7MiB live, 51.1MiB 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 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	99.9%	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))

Samples

9.0ms	130×	0	valid
8.0ms	126×	0	invalid

Compiler

Compiled 44 to 11 computations (75% saved)

Precisions

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

ival-div: 4.0ms (47.6% of total)

ival-sqrt: 2.0ms (23.8% of total)

ival-add: 1.0ms (11.9% of total)

ival-mult: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

5 → 96

Calls

Call 1

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

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 (* (sqrt (/ 1 y)) (sqrt 1/2))>
#<alt (/ (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (pow y 3)))) (* (sqrt y) (sqrt 1/2))) y)>
#<alt (/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt y)))))) y)>
#<alt (/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow y 3))))) (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y))))))))) y)>
#<alt (* (sqrt (/ 1 x)) (sqrt -1/2))>
#<alt (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))>
#<alt (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2))))>
#<alt (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1/2))>
#<alt (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))>
#<alt (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2)))) (* 1/32 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1/2) 3)))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* y (pow (sqrt -1/2) 5)))))) y)) (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1/2))>
#<alt (/ (+ (* 1/4 (* (sqrt (pow x 3)) (/ 1 (* y (sqrt -1/2))))) (* (sqrt x) (sqrt -1/2))) x)>
#<alt (/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (sqrt x) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2)))))))) x)>
#<alt (/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2))))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/128 (* (sqrt (/ 1 x)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5)))))))))) x)>
#<alt (* (sqrt (/ 1 y)) (sqrt 1/2))>
#<alt (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))>
#<alt (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))>
#<alt (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (+ (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (pow y 5)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))>
#<alt (* (sqrt (/ 1 y)) (sqrt 1/2))>
#<alt (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/32 (* (/ 1 (* x (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow y 3)) (/ 1 (pow (sqrt 1/2) 3)))) (* -1/128 (* (/ 1 (* x (pow (sqrt 1/2) 5))) (sqrt (pow y 5))))) x)) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))>
#<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)>

Calls

24 calls:

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

rewrite316.0ms (4.2%)

Memory

4.1MiB live, 447.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 008×	`-lowering-.f32`
5 008×	`-lowering-.f64`
4 524×	`accelerator-lowering-fma.f32`
4 524×	`accelerator-lowering-fma.f64`
3 842×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	48	28
2	544	28
0	8965	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 533

Calls

Call 1

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

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

simplify377.0ms (5%)

Memory

14.4MiB live, 558.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 406×	`accelerator-lowering-fma.f32`
9 406×	`accelerator-lowering-fma.f64`
6 876×	`-lowering-.f32`
6 876×	`-lowering-.f64`
3 086×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1122
1	478	1044
2	1580	1019
3	6201	1018
4	7506	1018
0	8010	970

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(/ (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (pow y 3)))) (* (sqrt y) (sqrt 1/2))) y)
(/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt y)))))) y)
(/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow y 3))))) (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y))))))))) y)
(* (sqrt (/ 1 x)) (sqrt -1/2))
(+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(* (sqrt (/ 1 x)) (sqrt -1/2))
(+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2)))) (* 1/32 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1/2) 3)))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* y (pow (sqrt -1/2) 5)))))) y)) (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(* (sqrt (/ 1 x)) (sqrt -1/2))
(/ (+ (* 1/4 (* (sqrt (pow x 3)) (/ 1 (* y (sqrt -1/2))))) (* (sqrt x) (sqrt -1/2))) x)
(/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (sqrt x) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2)))))))) x)
(/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2))))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/128 (* (sqrt (/ 1 x)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5)))))))))) x)
(* (sqrt (/ 1 y)) (sqrt 1/2))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (+ (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (pow y 5)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/32 (* (/ 1 (* x (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow y 3)) (/ 1 (pow (sqrt 1/2) 3)))) (* -1/128 (* (/ 1 (* x (pow (sqrt 1/2) 5))) (sqrt (pow y 5))))) x)) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(/ 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)

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) 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 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))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(/ (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (pow y 3)))) (* (sqrt y) (sqrt 1/2))) y)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (.f64 y (.f64 y y))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 y))) y)
(/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt y)))))) y)
(/.f64 (fma.f64 (sqrt.f64 y) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) y)
(/ (+ (* (sqrt y) (sqrt 1/2)) (* (pow y 2) (+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow y 3))))) (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y))))))))) y)
(/.f64 (fma.f64 y (.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 y y) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 x (.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 y))) y)
(* (sqrt (/ 1 x)) (sqrt -1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))))
(+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))))
(+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 (.f64 y (.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 y (sqrt.f64 #s(literal -1/2 binary64)))))))
(* (sqrt (/ 1 x)) (sqrt -1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* 1/4 (* (sqrt x) (/ 1 (* y (sqrt -1/2))))) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))))
(+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2)))) (* 1/32 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1/2) 3)))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 x) (/.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal 1/32 binary64)) (*.f64 y #s(literal -1/2 binary64))))) y))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (sqrt (pow x 5)) (/ 1 (* y (pow (sqrt -1/2) 5)))))) y)) (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/2))))) y)) (* (sqrt (/ 1 x)) (sqrt -1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (.f64 y y))))
(* (sqrt (/ 1 x)) (sqrt -1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64))
(/ (+ (* 1/4 (* (sqrt (pow x 3)) (/ 1 (* y (sqrt -1/2))))) (* (sqrt x) (sqrt -1/2))) x)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) x)
(/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (sqrt x) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2)))))))) x)
(/.f64 (fma.f64 x (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 #s(literal 1/4 binary64) x)) (.f64 (sqrt.f64 x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 x x) (sqrt.f64 #s(literal -1/2 binary64))))) x)
(/ (+ (* (sqrt x) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (* y (sqrt -1/2))))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow y 2) (pow (sqrt -1/2) 3))))) (* 1/128 (* (sqrt (/ 1 x)) (/ 1 (* (pow y 3) (pow (sqrt -1/2) 5)))))))))) x)
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 #s(literal 1/16 binary64) (.f64 y (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/128 binary64) (.f64 (.f64 y (.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 y (sqrt.f64 #s(literal -1/2 binary64))))))) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 x))) x)
(* (sqrt (/ 1 y)) (sqrt 1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 y)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 y)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (+ (* -1/32 (* (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (+ (* -1/128 (* (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))) (sqrt (pow y 5)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(fma.f64 (sqrt.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 y)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/4 (* (/ 1 (* x (sqrt 1/2))) (sqrt y))) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 y)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (* -1 (/ (+ (* 1/32 (* (/ 1 (* x (pow (sqrt 1/2) 3))) (sqrt (pow y 3)))) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (/.f64 (sqrt.f64 (.f64 y (.f64 y y))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/16 binary64))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow y 3)) (/ 1 (pow (sqrt 1/2) 3)))) (* -1/128 (* (/ 1 (* x (pow (sqrt 1/2) 5))) (sqrt (pow y 5))))) x)) (* 1/4 (* (sqrt y) (/ 1 (sqrt 1/2))))) x)) (* (sqrt (/ 1 y)) (sqrt 1/2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 y) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) (.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (.f64 (sqrt.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 x x))))
(/ 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) 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 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 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)

eval204.0ms (2.7%)

Memory: 13.8MiB live, 207.8MiB allocated
Compiler: Compiled 26 000 to 1 819 computations (93% saved)

prune200.0ms (2.6%)

Memory

-25.8MiB live, 309.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	1 015	0	1 015
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	1 015	7	1 022

Accuracy

100.0%

Counts

1 022 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.0%	(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	76.7%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	39.6%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.8%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	50.4%	(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))

Compiler

Compiled 135 to 65 computations (51.9% saved)

regimes12.0ms (0.2%)

Memory

-11.2MiB live, 26.9MiB allocated

Counts

8 → 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 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))

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)

regimes7.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB 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 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.5%	3	`x`
87.8%	5	`y`
88.5%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB 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:

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

Results

Accuracy	Segments	Branch
76.5%	3	`x`
79.6%	3	`y`
55.8%	2	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

-26.2MiB live, 12.0MiB 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:

3.0ms	x
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	y

Results

Accuracy	Segments	Branch
48.8%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
48.8%	1	`x`
48.8%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.9172004716577287e+289	7.1870424633225e+293
0.0ms	1.2009942144579257e-100	9.34804263730497e-73
0.0ms	-2.639216999277252e-82	-1.7826355403472102e-97
0.0ms	-inf	-1.3216912624940593e+307

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch24.0ms (0.3%)

Memory

10.1MiB live, 47.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.867624476683347e-15	1.0149778252293234e-12
11.0ms	-7.673988992023933e+64	-8.430698425705579e+57

Samples

13.0ms

256×

valid

Compiler

Compiled 206 to 172 computations (16.5% saved)

Precisions

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

ival-mult: 3.0ms (47.5% of total)

ival-sub: 1.0ms (15.8% of total)

ival-div: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify17.0ms (0.2%)

Memory

-15.1MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`not-or_bool`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	98
1	43	90
2	58	88
3	72	87
4	82	87
5	88	87
6	89	87
7	90	87

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -213598703592091/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal -1399999999999999934850980186727465937982246893216754647848452096 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 693246421999813/2475880078570760549798248448 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)

Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -213598703592091/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -213598703592091/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 y #s(literal -1399999999999999934850980186727465937982246893216754647848452096 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 693246421999813/2475880078570760549798248448 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)

soundness584.0ms (7.7%)

Memory

25.3MiB live, 289.4MiB 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 133 to 53 computations (60.2% saved)

preprocess60.0ms (0.8%)

Memory: 21.9MiB live, 137.7MiB allocated
Compiler: Compiled 248 to 88 computations (64.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	38
1	13	32
2	26	32
3	37	32
4	50	32
5	70	32
6	110	32
7	153	32
8	217	32
9	278	32
10	315	32
11	330	32
12	331	32
0	331	32

Iter	Nodes	Cost
0	9	38
1	13	32
2	26	32
3	37	32
4	50	32
5	70	32
6	110	32
7	153	32
8	217	32
9	278	32
10	315	32
11	330	32
12	331	32
0	331	32

analyze54.0ms (0.7%)

sample925.0ms (12.2%)

preprocess471.0ms (6.2%)

explain82.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify254.0ms (3.3%)

localize24.0ms (0.3%)

series9.0ms (0.1%)

rewrite473.0ms (6.2%)

simplify476.0ms (6.3%)

eval143.0ms (1.9%)

prune88.0ms (1.2%)

simplify309.0ms (4.1%)

localize52.0ms (0.7%)

series8.0ms (0.1%)

rewrite366.0ms (4.8%)

simplify490.0ms (6.4%)

eval285.0ms (3.7%)

prune121.0ms (1.6%)

simplify46.0ms (0.6%)

localize41.0ms (0.5%)

series8.0ms (0.1%)

rewrite511.0ms (6.7%)

simplify386.0ms (5.1%)

eval69.0ms (0.9%)

prune59.0ms (0.8%)

simplify4.0ms (0.1%)

localize29.0ms (0.4%)

series2.0ms (0%)

rewrite316.0ms (4.2%)

simplify377.0ms (5%)

eval204.0ms (2.7%)

prune200.0ms (2.6%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch24.0ms (0.3%)

simplify17.0ms (0.2%)

soundness584.0ms (7.7%)

preprocess60.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	38
1	13	32
2	26	32
3	37	32
4	50	32
5	70	32
6	110	32
7	153	32
8	217	32
9	278	32
10	315	32
11	330	32
12	331	32
0	331	32