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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze88.0ms (1.8%)

Memory

-0.8MiB live, 38.4MiB 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)

sample748.0ms (15.6%)

Memory

30.9MiB live, 1 288.4MiB allocated

Samples

484.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-mult: 108.0ms (37% of total)

ival-div: 91.0ms (31.2% of total)

ival-add: 79.0ms (27.1% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

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

Bogosity

explain91.0ms (1.9%)

Memory

-14.8MiB live, 106.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
64	-	2	(-7.902553802386457e-107 -3.9018827594255803e-206)	`(/.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	35	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	35
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	27	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	27

Confusion

	Predicted +	Predicted -
+	62	2
-	0	192

Precision

1.0

Recall

0.96875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	2
-	0	0	192

Precision?

1.0

Recall?

0.96875

Freqs

test

number	freq
0	194
1	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

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

ival-div: 7.0ms (41.6% of total)

ival-mult: 6.0ms (35.7% of total)

ival-add: 3.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess47.0ms (1%)

Memory

16.3MiB live, 54.0MiB 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
0	11	9
1	18	9
2	32	9
3	46	9
4	48	9
0	48	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(/.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

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

38×	`lower-/.f32`
36×	`lower-/.f64`
32×	`associate-/r*`
24×	`lower-*.f32`
20×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	18	23
2	32	23
3	46	23
4	48	23
0	48	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

-12.7MiB live, 68.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	14.843491080197019	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

24.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 11.0ms (67.1% of total)

ival-div: 4.0ms (24.4% of total)

ival-add: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-17.3MiB live, 19.5MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ y x))) y) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (patch (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 x #s(literal 2 binary64)) y) (patch (.f64 (.f64 x #s(literal 2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* (* x 2) y)
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))

simplify206.0ms (4.3%)

Memory

14.3MiB live, 167.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 386×	`lower-*.f64`
4 386×	`lower-*.f32`
3 612×	`lower-fma.f64`
3 612×	`lower-fma.f32`
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 → 78

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))

rewrite248.0ms (5.2%)

Memory

-21.7MiB live, 347.5MiB allocated

Rules

5 768×	`lower-/.f32`
5 766×	`lower-/.f64`
4 196×	`lower-*.f32`
4 192×	`lower-*.f64`
1 826×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	39	20
2	251	20
3	2914	20
0	8839	20

Stop Event

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

Counts

4 → 590

Calls

Call 1

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

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

eval74.0ms (1.6%)

Memory: 29.2MiB live, 186.2MiB allocated
Compiler: Compiled 15 436 to 1 658 computations (89.3% saved)

prune249.0ms (5.2%)

Memory

-4.0MiB live, 247.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	664	4	668
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	664	5	669

Accuracy

100.0%

Counts

669 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	88.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
▶	87.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
▶	47.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	51.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 45 to 27 computations (40% saved)

simplify558.0ms (11.7%)

Memory

10.0MiB live, 236.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

7 600×	`lower-*.f64`
7 600×	`lower-*.f32`
6 216×	`lower-fma.f32`
6 212×	`lower-fma.f64`
4 616×	`associate-/l*`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	20	112
0	30	114
1	45	114
2	68	114
3	92	114
4	104	114
5	122	114
6	140	114
7	205	112
8	267	112
9	708	100
10	2867	100
11	3455	100
12	3912	100
13	3976	100
14	4009	100
15	4043	100
16	5759	100
17	6195	100
18	6381	100
19	6431	100
20	6466	100
21	6502	100
22	6537	100
23	6573	100
24	6608	100
25	6644	100
26	6679	100
27	6715	100
28	6750	100
29	6786	100
30	6821	100
31	6857	100
32	6892	100
33	6928	100
34	6963	100
35	6999	100
36	7034	100
37	7070	100
38	7105	100
39	7105	100
40	7141	100
0	10101	100

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (3.1%)

Memory

-31.7MiB live, 57.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
accuracy	0	(/.f64 y x)
accuracy	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
accuracy	7.622455647941448	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
accuracy	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
accuracy	7.794979468612828	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	33.85848527723906	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	30.791227001196667	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Samples

130.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-div: 62.0ms (51.8% of total)

ival-add: 51.0ms (42.6% of total)

ival-mult: 6.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

12 → 264

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) x) (patch (/.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) y) (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ y x))) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 x) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* 1/2 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())

Calls

66 calls:

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

simplify377.0ms (7.9%)

Memory

-2.9MiB live, 263.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 872×	`lower-fma.f64`
8 872×	`lower-fma.f32`
5 582×	`distribute-lft-in`
5 020×	`lower-*.f64`
5 020×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1584
1	64	1584
2	125	1584
3	197	1368
4	242	1368
5	684	1368
6	1972	1368
7	4354	1368
8	4438	1368
9	4442	1368
10	4442	1368
11	5396	1368
12	5600	1368
13	5600	1368
14	5600	1368
0	8899	1332

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

rewrite282.0ms (5.9%)

Memory

-0.4MiB live, 436.8MiB allocated

Rules

5 164×	`lower-*.f64`
5 164×	`lower-*.f32`
4 806×	`lower-/.f32`
4 794×	`lower-/.f64`
4 250×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	30	102
1	120	102
2	773	102
0	8440	102

Stop Event

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

Counts

12 → 484

Calls

Call 1

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

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

eval115.0ms (2.4%)

Memory: -0.3MiB live, 284.6MiB allocated
Compiler: Compiled 13 004 to 1 221 computations (90.6% saved)

prune80.0ms (1.7%)

Memory

16.8MiB live, 253.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	747	1	748
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	747	6	753

Accuracy

100.0%

Counts

753 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	88.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
✓	87.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
▶	40.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y))
✓	47.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	51.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 56 to 33 computations (41.1% saved)

simplify6.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

46×	`lower-/.f32`
42×	`lower-/.f64`
40×	`lower-*.f32`
38×	`lower-*.f64`
30×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
0	19	64
1	30	64
2	49	64
3	68	64
4	71	64
0	71	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1.1%)

Memory

-18.2MiB live, 63.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y))
accuracy	7.622455647941448	(/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)
accuracy	30.6602882898089	#s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))

Samples

41.0ms

256×

valid

Compiler

Compiled 38 to 16 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 24.0ms (70.1% of total)

ival-div: 6.0ms (17.5% of total)

ival-add: 3.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y) (patch (/.f64 #s(approx (+ ( 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) (patch #s(approx (+ ( 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt (/ 1/2 x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/2 (* 1/2 (/ x y))) x) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (.f64 #s(literal 1/2 binary64) y) x)) y)) (patch #s(approx (/ (+ x y) ( (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ y x)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor inf y) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor -inf y) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 1/2 binary64) y) x) (patch (/.f64 (.f64 #s(literal 1/2 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor -inf y) (#s(alt (.f64 #s(literal 1/2 binary64) y) (patch (.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())) ())

Calls

27 calls:

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

simplify263.0ms (5.5%)

Memory

-22.0MiB live, 272.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 738×	`lower-fma.f64`
8 738×	`lower-fma.f32`
7 378×	`lower-*.f64`
7 378×	`lower-*.f32`
1 890×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	660
1	50	660
2	86	660
3	128	660
4	167	660
5	370	660
6	930	588
7	2169	588
8	3018	588
9	3949	588
10	4856	588
11	5712	588
12	7115	588
0	8229	570

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

rewrite260.0ms (5.4%)

Memory

-3.9MiB live, 312.2MiB allocated

Rules

4 620×	`lower-*.f32`
4 618×	`lower-*.f64`
3 610×	`lower-fma.f64`
3 610×	`lower-fma.f32`
3 040×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61
0	19	61
1	83	61
2	557	61
3	5963	61
0	8133	58

Stop Event

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

Counts

5 → 86

Calls

Call 1

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

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

eval44.0ms (0.9%)

Memory: -9.0MiB live, 29.2MiB allocated
Compiler: Compiled 2 017 to 209 computations (89.6% saved)

prune17.0ms (0.4%)

Memory

28.6MiB live, 28.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	194	6	200

Accuracy

100.0%

Counts

200 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	88.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y))
✓	87.8%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
✓	40.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(approx (+ (* 1/2 (/ y x)) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)) y))
✓	47.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	51.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 102 to 52 computations (49% saved)

regimes22.0ms (0.5%)

Memory

-23.1MiB live, 15.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	2	`x`
100.0%	2	`y`
99.4%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
96.3%	3	`x`
94.7%	2	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.2%)

Memory

-21.0MiB live, 16.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y

Results

Accuracy	Segments	Branch
89.5%	3	`x`
91.0%	4	`y`
88.4%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.3%	3	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
79.1%	2	`y`
80.3%	2	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (+ x y) (* (* x 2) y)) (/.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
51.9%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
51.9%	1	`y`
51.9%	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch11.0ms (0.2%)

Memory

-30.0MiB live, 13.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	4.902984893581175e-42	1.6156761967344812e-37

Samples

7.0ms

80×

valid

Compiler

Compiled 134 to 82 computations (38.8% saved)

Precisions

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

ival-div: 1.0ms (47.7% of total)

ival-add: 1.0ms (47.7% of total)

ival-mult: 1.0ms (47.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.833277679399513e+306	+inf
0.0ms	26891201039140946000.0	6.128733775156086e+20
0.0ms	-1.223235529118718e+40	-3.347545980606843e+39
0.0ms	-inf	-1.608293601433702e+287

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch25.0ms (0.5%)

Memory

13.2MiB live, 50.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-8.769970998459208e-159	-2.477690528985385e-167
9.0ms	-1.476579910395299e+162	-1.3270374000674488e+160

Samples

13.0ms

256×

valid

Compiler

Compiled 318 to 220 computations (30.8% saved)

Precisions

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

ival-add: 3.0ms (36.8% of total)

ival-mult: 3.0ms (36.8% of total)

ival-div: 2.0ms (24.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch19.0ms (0.4%)

Memory

-0.3MiB live, 34.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-2.3266370264549524e-140	-7.100426387270616e-153

Samples

11.0ms

160×

valid

Compiler

Compiled 154 to 112 computations (27.3% saved)

Precisions

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

ival-add: 5.0ms (59.8% of total)

ival-mult: 2.0ms (23.9% of total)

ival-div: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	246
1	51	246

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 1915619426082361/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 50000000000000000000 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))))))
(if (<=.f64 x #s(literal -17000000000000001515769779308356355588095045060031491688232199926621887908945539773684856235875603015025528577889585856751494204635504304557102788385473466204160 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -23503115526865/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -1233518329554719/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Outputs
(if (<=.f64 y #s(literal 1915619426082361/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)))
(if (<=.f64 (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -inf.0 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 50000000000000000000 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))))))
(if (<=.f64 (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal -10000000000000000303786028427003666890752 binary64)) (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) (if (<=.f64 (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 50000000000000000000 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)) (if (<=.f64 (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))))))
(if (<=.f64 x #s(literal -17000000000000001515769779308356355588095045060031491688232199926621887908945539773684856235875603015025528577889585856751494204635504304557102788385473466204160 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -23503115526865/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -17000000000000001515769779308356355588095045060031491688232199926621887908945539773684856235875603015025528577889585856751494204635504304557102788385473466204160 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -23503115526865/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896 binary64)) (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal -1233518329554719/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

soundness586.0ms (12.2%)

Memory

-24.7MiB live, 179.5MiB allocated

Rules

4 386×	`lower-*.f64`
4 386×	`lower-*.f32`
3 612×	`lower-fma.f64`
3 612×	`lower-fma.f32`
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 213 to 78 computations (63.4% saved)

preprocess65.0ms (1.4%)

Memory: 28.9MiB live, 146.9MiB allocated
Compiler: Compiled 404 to 130 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze88.0ms (1.8%)

sample748.0ms (15.6%)

explain91.0ms (1.9%)

preprocess47.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize30.0ms (0.6%)

series13.0ms (0.3%)

simplify206.0ms (4.3%)

rewrite248.0ms (5.2%)

eval74.0ms (1.6%)

prune249.0ms (5.2%)

simplify558.0ms (11.7%)

localize147.0ms (3.1%)

series16.0ms (0.3%)

simplify377.0ms (7.9%)

rewrite282.0ms (5.9%)

eval115.0ms (2.4%)

prune80.0ms (1.7%)

simplify6.0ms (0.1%)

localize51.0ms (1.1%)

series8.0ms (0.2%)

simplify263.0ms (5.5%)

rewrite260.0ms (5.4%)

eval44.0ms (0.9%)

prune17.0ms (0.4%)

regimes22.0ms (0.5%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch25.0ms (0.5%)

bsearch19.0ms (0.4%)

simplify8.0ms (0.2%)

soundness586.0ms (12.2%)

preprocess65.0ms (1.4%)

end0.0ms (0%)

Profiling