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

analyze19.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB 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)

sample796.0ms (7.6%)

Memory

5.9MiB live, 1 360.3MiB allocated

Samples

569.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

ival-mult: 162.0ms (48.3% of total)

ival-div: 104.0ms (31% of total)

ival-sub: 56.0ms (16.7% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess735.0ms (7.1%)

Memory

5.2MiB live, 405.4MiB 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))

explain74.0ms (0.7%)

Memory

-13.2MiB live, 142.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
59	-	1	(-3.390792039210329e-135 -6.872997043532728e-185)	`(/.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	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	32
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	26	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	26

Confusion

	Predicted +	Predicted -
+	58	1
-	0	197

Precision

1.0

Recall

0.9830508474576272

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	1
-	0	0	197

Precision?

1.0

Recall?

0.9830508474576272

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (64.9% of total)

ival-sub: 3.0ms (16.2% of total)

ival-div: 3.0ms (16.2% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify250.0ms (2.4%)

Memory

3.2MiB live, 484.7MiB 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)

localize22.0ms (0.2%)

Memory

-0.6MiB live, 38.5MiB 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	78.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (46.4% of total)

ival-sub: 2.0ms (30.9% of total)

ival-div: 2.0ms (30.9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-20.8MiB live, 17.4MiB 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
3.0ms	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))

rewrite443.0ms (4.3%)

Memory

5.5MiB live, 574.3MiB 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))))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 0 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))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))))))
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(.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)

simplify454.0ms (4.4%)

Memory

25.1MiB live, 567.4MiB 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))

eval78.0ms (0.8%)

Memory: 17.9MiB live, 168.2MiB allocated
Compiler: Compiled 16 968 to 1 720 computations (89.9% saved)

prune162.0ms (1.6%)

Memory

3.4MiB live, 197.6MiB 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
	86.7%	(/.f64 (/.f64 (-.f64 x y) (*.f64 y #s(literal 2 binary64))) x)
✓	78.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	40.9%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	52.6%	(/.f64 #s(literal 1/2 binary64) y)
▶	49.2%	(/.f64 #s(literal -1/2 binary64) x)
▶	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
▶	78.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 111 to 75 computations (32.4% saved)

simplify327.0ms (3.1%)

Memory

-14.5MiB live, 361.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize122.0ms (1.2%)

Memory

-15.1MiB live, 101.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	accuracy	78.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	78.2%	(/.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

103.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

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

ival-div: 10.0ms (52.7% of total)

ival-mult: 6.0ms (31.6% of total)

ival-sub: 2.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

11 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite400.0ms (3.8%)

Memory

30.3MiB live, 657.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 062

Calls

Call 1

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

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

simplify461.0ms (4.4%)

Memory

-44.5MiB live, 693.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	891
1	108	891
2	245	891
3	575	891
4	1500	891
5	2682	891
6	4510	891
7	5769	891
8	6277	891
9	6446	891
10	6564	891
11	7638	891
0	8074	885

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval153.0ms (1.5%)

Memory: 12.1MiB live, 402.1MiB allocated
Compiler: Compiled 21 204 to 1 375 computations (93.5% saved)

prune291.0ms (2.8%)

Memory

0.6MiB live, 279.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

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

Accuracy

100.0%

Counts

1 341 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(/.f64 (/.f64 (-.f64 x y) (*.f64 y #s(literal 2 binary64))) x)
✓	78.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	40.9%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.6%	(/.f64 #s(literal 1/2 binary64) y)
✓	49.2%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	78.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 61 to 41 computations (32.8% saved)

simplify418.0ms (4%)

Memory

28.3MiB live, 545.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

11 322×	`accelerator-lowering-fma.f32`
11 322×	`accelerator-lowering-fma.f64`
2 918×	`-lowering-.f32`
2 918×	`-lowering-.f64`
1 844×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	17	25
2	49	25
3	115	23
4	223	23
5	414	23
6	830	23
7	2011	23
8	5291	23
9	7631	23
0	8027	22

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize25.0ms (0.2%)

Memory

-6.3MiB live, 35.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (*.f64 y #s(literal 2 binary64)))
✓	accuracy	86.7%	(/.f64 (/.f64 (-.f64 x y) (*.f64 y #s(literal 2 binary64))) x)

Samples

17.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 5.0ms (50.3% of total)

ival-div: 3.0ms (30.2% of total)

ival-mult: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

-30.4MiB live, 8.4MiB allocated

Counts

4 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite348.0ms (3.3%)

Memory

40.7MiB live, 698.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 484×	`-lowering-.f32`
4 484×	`-lowering-.f64`
3 524×	`/-lowering-/.f32`
3 524×	`/-lowering-/.f64`
2 624×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	45	22
2	376	22
3	5029	22
0	8700	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 622

Calls

Call 1

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

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

simplify433.0ms (4.2%)

Memory

19.8MiB live, 792.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 044×	`accelerator-lowering-fma.f32`
14 044×	`accelerator-lowering-fma.f64`
2 476×	`-lowering-.f32`
2 476×	`-lowering-.f64`
2 244×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	429
1	121	429
2	295	429
3	869	399
4	2062	393
5	3234	393
6	4821	393
7	6037	393
8	6495	393
9	6646	393
10	6782	393
11	7828	393
0	8242	375

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval120.0ms (1.2%)

Memory: 11.5MiB live, 213.2MiB allocated
Compiler: Compiled 13 825 to 1 842 computations (86.7% saved)

prune108.0ms (1%)

Memory

21.3MiB live, 275.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	705	1	706
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	706	7	713

Accuracy

100.0%

Counts

713 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
✓	78.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	40.9%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.6%	(/.f64 #s(literal 1/2 binary64) y)
✓	49.2%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	78.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify5.0ms (0%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	12	23
2	16	23
3	17	23
0	17	21

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize41.0ms (0.4%)

Memory

-12.5MiB live, 62.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	86.7%	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)

Samples

32.0ms

256×

valid

Compiler

Compiled 23 to 10 computations (56.5% saved)

Precisions

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

ival-div: 4.0ms (55.3% of total)

ival-mult: 2.0ms (27.7% of total)

ival-add: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite2.4s (22.8%)

Memory

-12.1MiB live, 666.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 604×	`/-lowering-/.f32`
4 604×	`/-lowering-/.f64`
3 998×	`accelerator-lowering-fma.f32`
3 998×	`accelerator-lowering-fma.f64`
3 560×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	41	19
2	279	19
3	3212	19
0	8620	17

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 382

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(+.f64 (.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (.f64 y y))) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) x) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (neg.f64 (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (neg.f64 (.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
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(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 y (*.f64 y y))))))
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(*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))))
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(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
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(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (.f64 (/.f64 x y) #s(literal -1/4 binary64))))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1/512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) #s(literal 1/64 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/64 binary64)) (.f64 y (*.f64 y y))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 y)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(/.f64 x y)
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) y)
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) y)
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))

simplify783.0ms (7.5%)

Memory

-28.0MiB live, 382.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 544×	`accelerator-lowering-fma.f32`
5 544×	`accelerator-lowering-fma.f64`
3 488×	`-lowering-.f32`
3 488×	`-lowering-.f64`
1 440×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	396
1	66	396
2	141	396
3	385	360
4	785	360
5	1699	360
6	4110	360
7	5812	360
8	6572	360
9	6767	360
10	6871	360
11	7002	360
12	7271	360
13	7577	360
14	7932	360
0	8188	342

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval71.0ms (0.7%)

Memory: 36.5MiB live, 115.3MiB allocated
Compiler: Compiled 12 794 to 1 099 computations (91.4% saved)

prune64.0ms (0.6%)

Memory

-19.3MiB live, 139.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	454	0	454
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	454	7	461

Accuracy

100.0%

Counts

461 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.7%	(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
✓	78.2%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	40.9%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	52.6%	(/.f64 #s(literal 1/2 binary64) y)
✓	49.2%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
✓	78.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))

Compiler

Compiled 117 to 64 computations (45.3% saved)

regimes12.0ms (0.1%)

Memory

-6.7MiB live, 31.6MiB 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 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(/.f64 (/.f64 (-.f64 x y) (*.f64 y #s(literal 2 binary64))) x)

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

Calls

3 calls:

5.0ms	x
3.0ms	y
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)

regimes8.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

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
89.5%	5	`x`
87.5%	5	`y`
89.8%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory

-27.7MiB live, 11.0MiB allocated

Counts

4 → 5

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
89.6%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB 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) y)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)

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
76.7%	3	`y`
78.2%	3	`x`
59.0%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
49.2%	1	`y`
49.2%	1	`x`

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	2.216693312394424e+298	+inf
0.0ms	0.0	4.46835195832577e-118
0.0ms	-1.137652485376722e-78	-0.0
0.0ms	-inf	-1.8277414163980384e+305

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.216693312394424e+298	+inf
0.0ms	0.0	4.46835195832577e-118
0.0ms	-1.137652485376722e-78	-0.0
0.0ms	-1.8277414163980384e+305	-4.397470663706817e+304

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch53.0ms (0.5%)

Memory

-114.5MiB live, 44.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.1004465407065743e+29	8.159677884099667e+31
38.0ms	-4.1152241798153385e+88	-6.963782302664406e+84

Samples

12.0ms

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 (48.1% of total)

ival-div: 2.0ms (32.1% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	175
1	51	175
2	62	175
3	70	175
4	76	175
5	78	175

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 -8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 39999999999999998382648139013719152953022497869574965868483660471985950680126679541603212102206980698827391512924478652580891453931984596889328573529204009836859035281076467692086108233141838745658733543654489822205255305680112620033614342516505479390423000681157066183411863143528073415205003984896 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 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 -99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 39999999999999998382648139013719152953022497869574965868483660471985950680126679541603212102206980698827391512924478652580891453931984596889328573529204009836859035281076467692086108233141838745658733543654489822205255305680112620033614342516505479390423000681157066183411863143528073415205003984896 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 x #s(literal -6999999999999999757327549275195921845052507801201312792394826901669246791631826321408 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal 314999999999999987967783337984 binary64)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.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 -8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 39999999999999998382648139013719152953022497869574965868483660471985950680126679541603212102206980698827391512924478652580891453931984596889328573529204009836859035281076467692086108233141838745658733543654489822205255305680112620033614342516505479390423000681157066183411863143528073415205003984896 binary64)) (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal -1/2 binary64) x)))))
(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 -8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 39999999999999998382648139013719152953022497869574965868483660471985950680126679541603212102206980698827391512924478652580891453931984596889328573529204009836859035281076467692086108233141838745658733543654489822205255305680112620033614342516505479390423000681157066183411863143528073415205003984896 binary64)) (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 39999999999999998382648139013719152953022497869574965868483660471985950680126679541603212102206980698827391512924478652580891453931984596889328573529204009836859035281076467692086108233141838745658733543654489822205255305680112620033614342516505479390423000681157066183411863143528073415205003984896 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (-.f64 x y)) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 (/.f64 (-.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 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 39999999999999998382648139013719152953022497869574965868483660471985950680126679541603212102206980698827391512924478652580891453931984596889328573529204009836859035281076467692086108233141838745658733543654489822205255305680112620033614342516505479390423000681157066183411863143528073415205003984896 binary64)) (.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 x #s(literal -6999999999999999757327549275195921845052507801201312792394826901669246791631826321408 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal 314999999999999987967783337984 binary64)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1/2 binary64) x)

soundness625.0ms (6%)

Memory

-17.1MiB live, 300.4MiB 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 234 to 81 computations (65.4% saved)

preprocess77.0ms (0.7%)

Memory: -4.3MiB live, 112.7MiB allocated
Compiler: Compiled 398 to 106 computations (73.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.2%)

sample796.0ms (7.6%)

preprocess735.0ms (7.1%)

explain74.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify250.0ms (2.4%)

localize22.0ms (0.2%)

series11.0ms (0.1%)

rewrite443.0ms (4.3%)

simplify454.0ms (4.4%)

eval78.0ms (0.8%)

prune162.0ms (1.6%)

simplify327.0ms (3.1%)

localize122.0ms (1.2%)

series7.0ms (0.1%)

rewrite400.0ms (3.8%)

simplify461.0ms (4.4%)

eval153.0ms (1.5%)

prune291.0ms (2.8%)

simplify418.0ms (4%)

localize25.0ms (0.2%)

series4.0ms (0%)

rewrite348.0ms (3.3%)

simplify433.0ms (4.2%)

eval120.0ms (1.2%)

prune108.0ms (1%)

simplify5.0ms (0%)

localize41.0ms (0.4%)

series6.0ms (0.1%)

rewrite2.4s (22.8%)

simplify783.0ms (7.5%)

eval71.0ms (0.7%)

prune64.0ms (0.6%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch53.0ms (0.5%)

simplify11.0ms (0.1%)

soundness625.0ms (6%)

preprocess77.0ms (0.7%)

end0.0ms (0%)

Profiling