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

analyze20.0ms (0.3%)

Memory

-3.0MiB live, 35.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample763.0ms (12.2%)

Memory

-15.3MiB live, 839.9MiB allocated

Samples

548.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-mult: 128.0ms (40.9% of total)

ival-add: 113.0ms (36.1% of total)

ival-div: 57.0ms (18.2% of total)

ival-true: 7.0ms (2.2% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess79.0ms (1.3%)

Memory

-25.6MiB live, 59.7MiB 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)

explain81.0ms (1.3%)

Memory

15.3MiB live, 207.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
63	-	5	(-1.0994040918875507e-289 1.389449422594674e-23)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	29	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	29
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	29	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	29

Confusion

	Predicted +	Predicted -
+	58	5
-	0	193

Precision

1.0

Recall

0.9206349206349206

Confusion?

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

Precision?

1.0

Recall?

0.9206349206349206

Freqs

test

number	freq
0	198
1	58

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

ival-mult: 9.0ms (49.8% of total)

ival-div: 5.0ms (27.7% of total)

ival-add: 3.0ms (16.6% 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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.1%)

Memory

-21.2MiB live, 13.3MiB 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)

localize24.0ms (0.4%)

Memory

18.5MiB live, 64.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	77.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

17.0ms

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 (44.8% of total)

ival-div: 2.0ms (29.9% of total)

ival-add: 2.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-6.3MiB live, 33.1MiB 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
2.0ms	y	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	-inf	(* x 2)
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))

rewrite363.0ms (5.8%)

Memory

-8.0MiB live, 592.8MiB 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)

simplify296.0ms (4.7%)

Memory

5.2MiB live, 329.2MiB 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))

eval75.0ms (1.2%)

Memory: 12.0MiB live, 164.5MiB allocated
Compiler: Compiled 15 400 to 1 661 computations (89.2% saved)

prune80.0ms (1.3%)

Memory

7.0MiB live, 204.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	669	5	674
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	669	6	675

Accuracy

100.0%

Counts

675 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
▶	89.9%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	77.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	48.0%	(/.f64 #s(literal 1/2 binary64) y)
▶	53.8%	(/.f64 #s(literal 1/2 binary64) x)
▶	89.9%	(*.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 93 to 61 computations (34.4% saved)

simplify2.3s (37%)

Memory

-28.2MiB live, 1 380.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) y)
✓	cost-diff	384	(*.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x))
✓	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	256	(/.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)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	cost-diff	256	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)

Rules

76 086×	`accelerator-lowering-fma.f32`
76 086×	`accelerator-lowering-fma.f64`
6 452×	`-lowering-.f32`
6 452×	`-lowering-.f64`
5 916×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
1	30	77
2	48	77
3	79	77
4	113	77
5	149	71
6	171	71
7	460	71
8	2393	71
9	4064	71
10	4393	71
11	4599	71
12	4615	71
13	4615	71
14	6451	71
15	7183	71
16	7201	71
17	7201	71
18	7201	71
19	7201	71
0	10701	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize55.0ms (0.9%)

Memory

19.0MiB live, 133.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) y)
✓	accuracy	89.9%	(*.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x))
✓	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	88.5%	(/.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)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	accuracy	89.9%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)

Samples

36.0ms

256×

valid

Compiler

Compiled 75 to 18 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 16.0ms (66.4% of total)

ival-mult: 4.0ms (16.6% of total)

ival-add: 3.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

-9.8MiB live, 30.2MiB allocated

Counts

11 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ (+ (* 1/2 (/ y x)) 1/2) y)
3.0ms	y	@	0	(/ (+ x y) y)
1.0ms	x	@	0	(/ (+ (* 1/2 (/ x y)) 1/2) x)
0.0ms	x	@	inf	(/ (+ (* 1/2 (/ x y)) 1/2) x)
0.0ms	y	@	0	(/ (+ (* 1/2 (/ y x)) 1/2) y)

rewrite396.0ms (6.3%)

Memory

18.4MiB live, 693.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 252×	`-lowering-.f32`
5 252×	`-lowering-.f64`
4 866×	`accelerator-lowering-fma.f32`
4 866×	`accelerator-lowering-fma.f64`
4 464×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	106	61
2	826	61
3	7945	61
0	8514	57

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 827

Calls

Call 1

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

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

simplify339.0ms (5.4%)

Memory

-20.9MiB live, 424.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 676×	`accelerator-lowering-fma.f32`
3 676×	`accelerator-lowering-fma.f64`
2 310×	`-lowering-.f32`
2 310×	`-lowering-.f64`
1 704×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	1206
1	122	1206
2	239	1206
3	646	1098
4	1726	1098
5	4481	1098
6	6182	1098
7	6777	1098
8	7030	1098
9	7158	1098
10	7178	1098
0	8095	1062

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval247.0ms (3.9%)

Memory: 24.6MiB live, 247.3MiB allocated
Compiler: Compiled 18 956 to 2 179 computations (88.5% saved)

prune269.0ms (4.3%)

Memory

6.5MiB live, 205.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1 100	0	1 100
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1 100	6	1 106

Accuracy

100.0%

Counts

1 106 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	89.9%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	77.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	48.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	53.8%	(/.f64 #s(literal 1/2 binary64) x)
✓	89.9%	(*.f64 (/.f64 (+.f64 x y) y) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 94 to 52 computations (44.7% saved)

regimes8.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`y`
96.2%	3	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes42.0ms (0.7%)

Memory

-29.4MiB live, 13.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
97.5%	2	`y`
94.8%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
89.6%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
91.3%	4	`x`
93.2%	4	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
56.7%	2	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
83.8%	2	`x`
84.5%	2	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.8%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
53.8%	1	`x`
53.8%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch20.0ms (0.3%)

Memory

-33.0MiB live, 5.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
20.0ms	-1.2520215999481435e-15	-8.859482201920713e-16

Samples

18.0ms

32×

valid

Compiler

Compiled 58 to 40 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 17.0ms (97.5% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.884221006552958e-212	5.065002596429579e-211

Samples

5.0ms

112×

valid

Compiler

Compiled 133 to 96 computations (27.8% saved)

Precisions

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

ival-div: 1.0ms (35.2% of total)

ival-add: 1.0ms (35.2% of total)

ival-mult: 1.0ms (35.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.6%)

Memory

-2.6MiB live, 33.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
4.0ms	1.7628418699251228e+102	2.0571631506794885e+102
22.0ms	1.3759046757833335e-158	8.304426431165886e-158
9.0ms	7.585120272692505e-191	7.168004219456301e-189

Samples

12.0ms

256×

valid

Compiler

Compiled 260 to 199 computations (23.5% saved)

Precisions

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

ival-mult: 3.0ms (46.1% of total)

ival-div: 2.0ms (30.7% of total)

ival-add: 1.0ms (15.4% 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

14.8MiB live, 14.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.3807173518941833e-61	1.0920243796307453e-59

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 (35.9% of total)

ival-add: 1.0ms (35.9% of total)

ival-mult: 1.0ms (35.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify56.0ms (0.9%)

Memory

-11.4MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	76
1	40	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -6084722881095501/5070602400912917605986812821504 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
(if (<=.f64 y #s(literal 2665073934689785/5922386521532855740161817506647119732883018558947359509044845726112560091729648156474603305162988578607512400425457279991804428268870599332596921062626576000993556884845161077691136496092218188572933193945756793025561702170624 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
(if (<=.f64 y #s(literal 4389399446348979/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6925251241246927/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 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 x #s(literal -6084722881095501/5070602400912917605986812821504 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
(if (<=.f64 y #s(literal 2665073934689785/5922386521532855740161817506647119732883018558947359509044845726112560091729648156474603305162988578607512400425457279991804428268870599332596921062626576000993556884845161077691136496092218188572933193945756793025561702170624 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
(if (<=.f64 y #s(literal 4389399446348979/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6925251241246927/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 4389399446348979/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 6925251241246927/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 #s(literal 1/2 binary64) x) (if (<=.f64 y #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (/.f64 (+.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 y #s(literal 565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

soundness564.0ms (9%)

Memory

-23.2MiB live, 207.6MiB 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 140 to 76 computations (45.7% saved)

preprocess60.0ms (1%)

Memory: -9.2MiB live, 147.0MiB allocated
Compiler: Compiled 244 to 118 computations (51.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze20.0ms (0.3%)

sample763.0ms (12.2%)

preprocess79.0ms (1.3%)

explain81.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize24.0ms (0.4%)

series10.0ms (0.2%)

rewrite363.0ms (5.8%)

simplify296.0ms (4.7%)

eval75.0ms (1.2%)

prune80.0ms (1.3%)

simplify2.3s (37%)

localize55.0ms (0.9%)

series18.0ms (0.3%)

rewrite396.0ms (6.3%)

simplify339.0ms (5.4%)

eval247.0ms (3.9%)

prune269.0ms (4.3%)

regimes8.0ms (0.1%)

regimes42.0ms (0.7%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch20.0ms (0.3%)

bsearch10.0ms (0.2%)

bsearch37.0ms (0.6%)

bsearch10.0ms (0.2%)

simplify56.0ms (0.9%)

soundness564.0ms (9%)

preprocess60.0ms (1%)

end0.0ms (0%)

Profiling