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

analyze21.0ms (0.4%)

Memory

-2.4MiB live, 38.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.3s (22.1%)

Memory

8.7MiB live, 914.5MiB allocated

Samples

981.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 501.0ms

ival-add: 245.0ms (49% of total)

ival-div: 147.0ms (29.4% of total)

ival-mult: 95.0ms (19% of total)

ival-true: 5.0ms (1% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess52.0ms (0.9%)

Memory

1.6MiB live, 45.2MiB allocated

Algorithm

2×	egg-herbie

Rules

1 744×	`div-sub`
832×	`distribute-rgt-in`
832×	`distribute-lft-in`
620×	`sub-neg`
502×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	67	54
2	213	54
3	855	54
4	2826	46
5	6357	46
0	7	9
1	14	9
2	28	9
3	42	9
4	43	9
0	43	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

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

Symmetry

(sort x y)

explain420.0ms (7.3%)

Memory

-5.6MiB live, 112.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
63	-	8	(-4.5591487312172266e-164 7.990868052412226e-152)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	33	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	33
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	22	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	22

Confusion

	Predicted +	Predicted -
+	55	8
-	0	193

Precision

1.0

Recall

0.873015873015873

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	8
-	0	0	193

Precision?

1.0

Recall?

0.873015873015873

Freqs

test

number	freq
0	201
1	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-mult: 6.0ms (45.7% of total)

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

38×	`/-lowering-/.f32`
38×	`/-lowering-/.f64`
30×	`associate-/r*`
24×	`-lowering-.f32`
24×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	14	23
2	28	23
3	42	23
4	43	23
0	43	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (0.6%)

Memory

-28.9MiB live, 49.8MiB 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	78.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (45.8% of total)

ival-div: 2.0ms (30.5% of total)

ival-add: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB 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 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ (+ 1/2 (* 1/2 (/ x y))) x)>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ (+ 1/2 (* 1/2 (/ y x))) y)>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (/ 1/2 x)>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>

Calls

21 calls:

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

rewrite327.0ms (5.7%)

Memory

6.9MiB live, 645.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 768×	`/-lowering-/.f32`
5 768×	`/-lowering-/.f64`
4 196×	`-lowering-.f32`
4 196×	`-lowering-.f64`
1 822×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	35	20
2	247	20
3	2911	20
0	8831	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 590

Calls

Call 1

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

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

simplify271.0ms (4.7%)

Memory

-22.3MiB live, 382.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 386×	`-lowering-.f32`
4 386×	`-lowering-.f64`
3 612×	`accelerator-lowering-fma.f32`
3 612×	`accelerator-lowering-fma.f64`
1 824×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	475	372
4	1337	372
5	2530	372
6	4212	372
7	5357	372
8	6256	372
9	6909	372
10	7367	372
11	7968	372
0	8227	366

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

eval131.0ms (2.3%)

Memory: 24.3MiB live, 218.5MiB allocated
Compiler: Compiled 15 400 to 1 661 computations (89.2% saved)

prune83.0ms (1.5%)

Memory

5.1MiB live, 241.0MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	668	6	674
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	668	7	675

Accuracy

100.0%

Counts

675 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
▶	90.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	78.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	46.9%	(/.f64 y (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	34.1%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	42.6%	(/.f64 #s(literal 1/2 binary64) y)
▶	58.8%	(/.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 107 to 71 computations (33.6% saved)

simplify308.0ms (5.4%)

Memory

-11.5MiB live, 402.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

7 368×	`accelerator-lowering-fma.f32`
7 368×	`accelerator-lowering-fma.f64`
7 012×	`-lowering-.f32`
7 012×	`-lowering-.f64`
1 868×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	26	60
2	51	60
3	85	60
4	130	60
5	206	58
6	616	58
7	2256	58
8	4091	58
9	5461	58
10	6334	58
11	7078	58
0	8274	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize52.0ms (0.9%)

Memory

-7.3MiB live, 104.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	78.5%	(/.f64 y (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	78.5%	(/.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%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	90.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)

Samples

32.0ms

256×

valid

Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions

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

ival-div: 10.0ms (61.1% of total)

ival-mult: 4.0ms (24.5% of total)

ival-add: 1.0ms (6.1% 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

20.8MiB live, 20.8MiB allocated

Counts

9 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite339.0ms (5.9%)

Memory

-29.8MiB live, 534.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 200×	`/-lowering-/.f32`
4 200×	`/-lowering-/.f64`
3 434×	`-lowering-.f32`
3 434×	`-lowering-.f64`
2 728×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	75	39
2	439	37
3	4238	37
0	8452	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 727

Calls

Call 1

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

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

simplify479.0ms (8.4%)

Memory

1.2MiB live, 475.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 738×	`accelerator-lowering-fma.f32`
8 738×	`accelerator-lowering-fma.f64`
7 410×	`-lowering-.f32`
7 410×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	768
1	63	768
2	104	768
3	148	732
4	187	732
5	402	732
6	948	732
7	2242	732
8	3060	732
9	3978	732
10	4887	732
11	5743	732
12	7121	732
0	8236	714

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval131.0ms (2.3%)

Memory: 20.6MiB live, 317.4MiB allocated
Compiler: Compiled 14 432 to 1 461 computations (89.9% saved)

prune100.0ms (1.7%)

Memory

20.9MiB live, 274.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 039	1	1 040
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1 040	7	1 047

Accuracy

100.0%

Counts

1 047 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	78.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	46.9%	(/.f64 y (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	34.1%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	42.6%	(/.f64 #s(literal 1/2 binary64) y)
✓	58.8%	(/.f64 #s(literal 1/2 binary64) x)
▶	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 58 to 39 computations (32.8% saved)

simplify98.0ms (1.7%)

Memory

-32.9MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	7	16
0	7	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (0.8%)

Memory

14.2MiB live, 53.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 4.0ms (76.2% of total)

ival-add: 1.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite277.0ms (4.8%)

Memory

-31.8MiB live, 430.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 594×	`accelerator-lowering-fma.f32`
4 594×	`accelerator-lowering-fma.f64`
3 884×	`-lowering-.f32`
3 884×	`-lowering-.f64`
2 660×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	452	13
3	7107	13
0	8272	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 210

Calls

Call 1

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

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

simplify494.0ms (8.6%)

Memory

21.5MiB live, 415.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 116×	`-lowering-.f32`
9 116×	`-lowering-.f64`
6 136×	`accelerator-lowering-fma.f32`
6 136×	`accelerator-lowering-fma.f64`
4 128×	`swap-sqr`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	19	252
1	35	252
2	47	252
3	55	252
4	75	252
5	129	252
6	209	252
7	436	216
8	571	216
9	1008	216
10	2296	216
11	3623	216
12	4203	216
13	4475	216
14	4711	216
15	4711	216
16	5504	216
17	5719	216
18	5757	216
19	6009	216
20	6260	216
21	6511	216
22	6762	216
23	6762	216
24	6762	216
25	7370	216
26	7406	216
27	7412	216
28	7412	216
29	7929	216
0	8184	216

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval29.0ms (0.5%)

Memory: -16.8MiB live, 61.0MiB allocated
Compiler: Compiled 4 638 to 526 computations (88.7% saved)

prune28.0ms (0.5%)

Memory

23.6MiB live, 62.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	258	7	265

Accuracy

100.0%

Counts

265 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	78.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	46.9%	(/.f64 y (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	34.1%	(/.f64 x (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	42.6%	(/.f64 #s(literal 1/2 binary64) y)
✓	58.8%	(/.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 112 to 58 computations (48.2% saved)

regimes11.0ms (0.2%)

Memory

-16.2MiB live, 21.8MiB 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 y (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

5 → 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))
(/.f64 y (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
90.3%	3	`x`
89.2%	3	`y`
90.9%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

4 → 2

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 y (.f64 (.f64 x #s(literal 2 binary64)) y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.0%	2	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
83.5%	2	`y`
83.4%	2	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes21.0ms (0.4%)

Memory

-27.0MiB live, 10.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	y
1.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x

Results

Accuracy	Segments	Branch
58.8%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
58.8%	1	`x`
58.8%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch41.0ms (0.7%)

Memory

-15.7MiB live, 36.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-3.609812286086873e-161	-4.5591487312172266e-164
10.0ms	-7.617111024619401e+226	-6.267325738211273e+223

Samples

12.0ms

256×

valid

Compiler

Compiled 302 to 220 computations (27.2% saved)

Precisions

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

ival-mult: 3.0ms (45.4% of total)

ival-div: 2.0ms (30.3% of total)

ival-add: 1.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.8130177810357834e-166	1.4971537662838206e-165

Samples

4.0ms

80×

valid

Compiler

Compiled 74 to 62 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (50.4% of total)

ival-mult: 1.0ms (50.4% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	24	43

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 x #s(literal -64000000000000002982515659188524644377925491836760119130942749313195698004677523172657133581708525588546174502143071351380304746624441477847079814239529180197595528151508238201567181177283535252893423089379855538198717399040 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7131979884014207/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 23503115526865/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

Outputs
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -64000000000000002982515659188524644377925491836760119130942749313195698004677523172657133581708525588546174502143071351380304746624441477847079814239529180197595528151508238201567181177283535252893423089379855538198717399040 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7131979884014207/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal -64000000000000002982515659188524644377925491836760119130942749313195698004677523172657133581708525588546174502143071351380304746624441477847079814239529180197595528151508238201567181177283535252893423089379855538198717399040 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -7131979884014207/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 23503115526865/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

soundness556.0ms (9.7%)

Memory

-20.6MiB live, 211.5MiB allocated

Rules

4 386×	`-lowering-.f32`
4 386×	`-lowering-.f64`
4 200×	`/-lowering-/.f32`
4 200×	`/-lowering-/.f64`
3 612×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	475	372
4	1337	372
5	2530	372
6	4212	372
7	5357	372
8	6256	372
9	6909	372
10	7367	372
11	7968	372
0	8227	366
0	14	39
1	75	39
2	439	37
3	4238	37
0	8452	36

Stop Event

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

Compiler

Compiled 82 to 48 computations (41.5% saved)

preprocess52.0ms (0.9%)

Memory: 26.2MiB live, 104.4MiB allocated
Remove: (sort x y)
Compiler: Compiled 148 to 78 computations (47.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze21.0ms (0.4%)

sample1.3s (22.1%)

preprocess52.0ms (0.9%)

explain420.0ms (7.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize35.0ms (0.6%)

series9.0ms (0.2%)

rewrite327.0ms (5.7%)

simplify271.0ms (4.7%)

eval131.0ms (2.3%)

prune83.0ms (1.5%)

simplify308.0ms (5.4%)

localize52.0ms (0.9%)

series7.0ms (0.1%)

rewrite339.0ms (5.9%)

simplify479.0ms (8.4%)

eval131.0ms (2.3%)

prune100.0ms (1.7%)

simplify98.0ms (1.7%)

localize48.0ms (0.8%)

series1.0ms (0%)

rewrite277.0ms (4.8%)

simplify494.0ms (8.6%)

eval29.0ms (0.5%)

prune28.0ms (0.5%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes21.0ms (0.4%)

bsearch41.0ms (0.7%)

bsearch7.0ms (0.1%)

simplify8.0ms (0.1%)

soundness556.0ms (9.7%)

preprocess52.0ms (0.9%)

end0.0ms (0%)

Profiling