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

analyze135.0ms (2.5%)

Memory

-11.5MiB live, 27.1MiB 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)

sample853.0ms (15.5%)

Memory

21.0MiB live, 1 245.4MiB allocated

Samples

571.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-mult: 98.0ms (35.3% of total)

ival-add: 86.0ms (31% of total)

ival-div: 80.0ms (28.9% of total)

ival-true: 5.0ms (1.8% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

preprocess45.0ms (0.8%)

Memory

24.0MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 808×	`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	19	51
1	62	45
2	206	45
3	853	45
4	2809	37
5	6431	37
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)))

Symmetry

(sort x y)

explain148.0ms (2.7%)

Memory

-22.3MiB live, 97.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	61	1
-	0	194

Precision

1.0

Recall

0.9838709677419355

Confusion?

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

Precision?

1.0

Recall?

0.9838709677419355

Freqs

test

number	freq
0	195
1	61

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms

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 (45.8% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(/.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

6.6MiB live, 6.6MiB 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)

localize30.0ms (0.5%)

Memory

-4.2MiB live, 34.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

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

ival-div: 2.0ms (30.2% 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)

series9.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

rewrite356.0ms (6.5%)

Memory

2.4MiB live, 559.2MiB 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))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 y #s(literal 2 binary64))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))) (/.f64 (+.f64 x y) (.f64 (.f64 x y) #s(literal -2 binary64))))
(-.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))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 x x (.f64 y (-.f64 y x))))))) (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 (.f64 x (.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))))))
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(.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)

simplify233.0ms (4.2%)

Memory

-9.2MiB live, 384.2MiB 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))

eval120.0ms (2.2%)

Memory: 21.2MiB live, 185.5MiB allocated
Compiler: Compiled 15 400 to 1 661 computations (89.2% saved)

prune90.0ms (1.6%)

Memory

-4.5MiB live, 192.8MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	671	3	674
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	671	4	675

Accuracy

100.0%

Counts

675 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	77.2%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	54.5%	(/.f64 #s(literal 1/2 binary64) y)
▶	47.0%	(/.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify331.0ms (6%)

Memory

25.3MiB live, 292.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

7 194×	`-lowering-.f32`
7 194×	`-lowering-.f64`
3 738×	`accelerator-lowering-fma.f32`
3 738×	`accelerator-lowering-fma.f64`
2 922×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	13	32
2	18	32
3	24	32
4	30	32
5	39	32
6	48	32
7	79	30
8	123	30
9	236	30
10	660	30
11	1617	30
12	2238	30
13	2862	30
14	3594	30
15	4024	30
16	4522	30
17	5176	30
18	5797	30
19	6035	30
20	6148	30
21	6223	30
22	6297	30
23	6765	30
24	7901	30
0	8009	29

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize144.0ms (2.6%)

Memory

-20.8MiB live, 54.8MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	90.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)

Samples

133.0ms

256×

valid

Compiler

Compiled 32 to 11 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 98.0ms (91.7% of total)

ival-div: 7.0ms (6.5% of total)

ival-mult: 2.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite316.0ms (5.8%)

Memory

-16.4MiB live, 565.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 812×	`/-lowering-/.f32`
4 812×	`/-lowering-/.f64`
4 056×	`accelerator-lowering-fma.f32`
4 056×	`accelerator-lowering-fma.f64`
3 678×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	52	25
2	310	25
3	3295	25
0	8943	23

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 443

Calls

Call 1

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

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

simplify352.0ms (6.4%)

Memory

-20.9MiB live, 419.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 738×	`accelerator-lowering-fma.f32`
8 738×	`accelerator-lowering-fma.f64`
7 378×	`-lowering-.f32`
7 378×	`-lowering-.f64`
1 890×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	468
1	50	468
2	86	468
3	128	432
4	167	432
5	369	432
6	947	432
7	2246	432
8	3092	432
9	3990	432
10	4898	432
11	5754	432
12	7161	432
0	8275	414

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval77.0ms (1.4%)

Memory: 13.1MiB live, 123.9MiB allocated
Compiler: Compiled 13 026 to 1 169 computations (91% saved)

prune82.0ms (1.5%)

Memory

-0.6MiB live, 154.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	538	1	539
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	538	5	543

Accuracy

100.0%

Counts

543 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
▶	37.6%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)
✓	77.2%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	54.5%	(/.f64 #s(literal 1/2 binary64) y)
✓	47.0%	(/.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 40 to 27 computations (32.5% saved)

simplify320.0ms (5.8%)

Memory

16.4MiB live, 311.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
✓	cost-diff	1024	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)

Rules

7 110×	`-lowering-.f32`
7 110×	`-lowering-.f64`
2 980×	`cube-prod`
1 944×	`/-lowering-/.f32`
1 944×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	11	18
2	27	14
3	41	14
4	115	14
5	316	14
6	1570	14
7	2661	14
8	3217	14
9	3514	14
10	3784	14
11	4230	14
12	4886	14
13	5520	14
14	5768	14
15	5891	14
16	5971	14
17	6054	14
18	6541	14
19	7733	14
0	8006	14

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize41.0ms (0.8%)

Memory

-3.6MiB live, 35.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	76.2%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 3.0ms (55.1% of total)

ival-mult: 2.0ms (36.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite194.0ms (3.5%)

Memory

-2.2MiB live, 270.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 324×	`-lowering-.f32`
2 324×	`-lowering-.f64`
2 082×	`/-lowering-/.f32`
2 082×	`/-lowering-/.f64`
540×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	26	15
2	168	11
3	1071	11
0	5053	11

Stop Event

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

Counts

3 → 313

Calls

Call 1

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

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

simplify10.0ms (0.2%)

Memory

-10.4MiB live, 27.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	228
1	10	228
2	11	228
3	12	228
0	12	228

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

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

eval50.0ms (0.9%)

Memory: -8.6MiB live, 106.9MiB allocated
Compiler: Compiled 3 996 to 789 computations (80.3% saved)

prune48.0ms (0.9%)

Memory

18.8MiB live, 137.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	372	1	373
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	372	6	378

Accuracy

100.0%

Counts

378 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	37.6%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)
✓	77.2%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	54.5%	(/.f64 #s(literal 1/2 binary64) y)
✓	47.0%	(/.f64 #s(literal 1/2 binary64) x)
▶	35.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) y)

Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify252.0ms (4.6%)

Memory

24.1MiB live, 414.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

7 110×	`-lowering-.f32`
7 110×	`-lowering-.f64`
2 944×	`cube-prod`
2 346×	`pow-lowering-pow.f64`
2 346×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	12	18
2	30	14
3	43	14
4	110	14
5	312	14
6	1584	14
7	2673	14
8	3224	14
9	3521	14
10	3791	14
11	4238	14
12	4889	14
13	5523	14
14	5772	14
15	5895	14
16	5975	14
17	6058	14
18	6546	14
19	7718	14
0	8296	14

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize81.0ms (1.5%)

Memory

-26.5MiB live, 45.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
✓	accuracy	77.4%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) y)

Samples

74.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 64.0ms (94.3% of total)

ival-mult: 3.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.6%)

Memory

-34.5MiB live, 5.2MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	y	@	-inf	(/ 1/2 (* y x))
1.0ms	x	@	inf	(/ 1/2 (* y x))
0.0ms	x	@	0	(/ 1/2 (* y x))
0.0ms	y	@	-inf	(* y x)
0.0ms	x	@	-inf	(/ 1/2 (* y x))

rewrite200.0ms (3.6%)

Memory

43.9MiB live, 315.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 366×	`/-lowering-/.f32`
2 366×	`/-lowering-/.f64`
2 226×	`-lowering-.f32`
2 226×	`-lowering-.f64`
1 456×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	21	15
2	109	11
3	528	11
4	3414	11
0	8897	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 482

Calls

Call 1

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

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

simplify11.0ms (0.2%)

Memory

-8.5MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	264
1	8	264
2	10	264
0	10	264

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

eval92.0ms (1.7%)

Memory: -9.1MiB live, 146.2MiB allocated
Compiler: Compiled 7 363 to 1 398 computations (81% saved)

prune74.0ms (1.3%)

Memory

16.4MiB live, 142.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	554	0	554
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	554	6	560

Accuracy

100.0%

Counts

560 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.7%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	37.6%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)
✓	77.2%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	54.5%	(/.f64 #s(literal 1/2 binary64) y)
✓	47.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	35.0%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) y)

Compiler

Compiled 88 to 52 computations (40.9% saved)

regimes22.0ms (0.4%)

Memory

-18.3MiB live, 19.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
96.5%	2	`x`
96.7%	2	`y`
99.5%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) y)
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) x) 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	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
89.4%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
92.5%	3	`x`
88.6%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

-27.3MiB live, 11.5MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
82.3%	2	`y`
85.3%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.0%	1	`y`
47.0%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
47.0%	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch15.0ms (0.3%)

Memory

4.7MiB live, 43.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.3307833092387192e+117	1.3363293790775907e+135

Samples

8.0ms

160×

valid

Compiler

Compiled 184 to 132 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (49.4% of total)

ival-div: 1.0ms (24.7% of total)

ival-add: 1.0ms (24.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch47.0ms (0.8%)

Memory

-8.3MiB live, 31.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-2.92431267272362e-183	-1.7853539728077503e-189
33.0ms	-4.064948377058235e+149	-2.655991013268852e+146

Samples

35.0ms

272×

valid

Compiler

Compiled 320 to 233 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 26.0ms (87.6% of total)

ival-div: 2.0ms (6.7% of total)

ival-add: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-6.4660159271821524e-21	-4.4450008338191594e-23

Samples

5.0ms

112×

valid

Compiler

Compiled 98 to 82 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (37.1% of total)

ival-add: 1.0ms (37.1% of total)

ival-mult: 1.0ms (37.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0.5%)

Memory

-23.6MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	51
1	28	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 320000000000000007152375155032595178723149097631160305935322765724808475527754995071238512378979219040324882266803998518493393438375936 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -61999999999999995086758500676131910550248925443856526609240244707049148013990801343754141073041354374958392828464638838407232772420759135425635811328 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -6697692026289335/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 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 -4785220784825697/1329227995784915872903807060280344576 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

Outputs
(if (<=.f64 y #s(literal 320000000000000007152375155032595178723149097631160305935322765724808475527754995071238512378979219040324882266803998518493393438375936 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -61999999999999995086758500676131910550248925443856526609240244707049148013990801343754141073041354374958392828464638838407232772420759135425635811328 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -6697692026289335/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 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 -61999999999999995086758500676131910550248925443856526609240244707049148013990801343754141073041354374958392828464638838407232772420759135425635811328 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -6697692026289335/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal -4785220784825697/1329227995784915872903807060280344576 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

soundness446.0ms (8.1%)

Memory

9.0MiB live, 200.2MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 93 to 55 computations (40.9% saved)

preprocess168.0ms (3.1%)

Memory: -0.0MiB live, 121.5MiB allocated
Compiler: Compiled 180 to 96 computations (46.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze135.0ms (2.5%)

sample853.0ms (15.5%)

preprocess45.0ms (0.8%)

explain148.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize30.0ms (0.5%)

series9.0ms (0.2%)

rewrite356.0ms (6.5%)

simplify233.0ms (4.2%)

eval120.0ms (2.2%)

prune90.0ms (1.6%)

simplify331.0ms (6%)

localize144.0ms (2.6%)

series5.0ms (0.1%)

rewrite316.0ms (5.8%)

simplify352.0ms (6.4%)

eval77.0ms (1.4%)

prune82.0ms (1.5%)

simplify320.0ms (5.8%)

localize41.0ms (0.8%)

series2.0ms (0%)

rewrite194.0ms (3.5%)

simplify10.0ms (0.2%)

eval50.0ms (0.9%)

prune48.0ms (0.9%)

simplify252.0ms (4.6%)

localize81.0ms (1.5%)

series32.0ms (0.6%)

rewrite200.0ms (3.6%)

simplify11.0ms (0.2%)

eval92.0ms (1.7%)

prune74.0ms (1.3%)

regimes22.0ms (0.4%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch15.0ms (0.3%)

bsearch47.0ms (0.8%)

bsearch10.0ms (0.2%)

simplify30.0ms (0.5%)

soundness446.0ms (8.1%)

preprocess168.0ms (3.1%)

end0.0ms (0%)

Profiling