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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze20.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB 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)

sample933.0ms (13.3%)

Memory

15.4MiB live, 949.4MiB allocated

Samples

551.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-mult: 120.0ms (46% of total)

ival-add: 72.0ms (27.6% of total)

ival-div: 54.0ms (20.7% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain73.0ms (1%)

Memory

11.7MiB live, 168.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
73	-	2	(1.7170431359274603e-48 -1.6034825744091062e-276)	`(/.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	39	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	39
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	32	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	32

Confusion

	Predicted +	Predicted -
+	71	2
-	0	183

Precision

1.0

Recall

0.9726027397260274

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	2
-	0	0	183

Precision?

1.0

Recall?

0.9726027397260274

Freqs

test

number	freq
0	185
1	71

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

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

ival-div: 8.0ms (44.3% of total)

ival-mult: 7.0ms (38.8% of total)

ival-add: 3.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess52.0ms (0.7%)

Memory

-20.8MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Rules

904×	`div-sub`
416×	`distribute-rgt-in`
416×	`distribute-lft-in`
310×	`sub-neg`
251×	`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 y x) (.f64 (.f64 y x) #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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB 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

19×	`lower-/.f32`
18×	`lower-/.f64`
16×	`associate-/r*`
12×	`lower-*.f32`
10×	`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 y x) (.f64 (.f64 y x) #s(literal 2 binary64)))
(+.f64 x y)
(+.f64 y x)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 (.f64 y x) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize36.0ms (0.5%)

Memory

-6.6MiB live, 32.4MiB 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	16.976211949090825	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

28.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 18.0ms (83.4% of total)

ival-div: 2.0ms (9.3% of total)

ival-add: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB 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
1.0ms	x	@	-inf	(* x 2)
1.0ms	y	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	-inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	0	(/ (+ x y) (* (* x 2) y))

simplify171.0ms (2.4%)

Memory

2.5MiB live, 149.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 193×	`lower-*.f64`
2 193×	`lower-*.f32`
1 806×	`lower-fma.f64`
1 806×	`lower-fma.f32`
912×	`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 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* 1/2 (/ x y))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #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 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #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 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite203.0ms (2.9%)

Memory

-2.0MiB live, 382.4MiB allocated

Rules

2 884×	`lower-/.f32`
2 883×	`lower-/.f64`
2 098×	`lower-*.f32`
2 096×	`lower-*.f64`
913×	`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 (pow.f64 (/.f64 y (.f64 (+.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y x) x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) x)) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (-.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (+.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (-.f64 (neg.f64 x) y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x))))
(.f64 (pow.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 y x))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 (/.f64 x (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (.f64 y x))))
(.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (.f64 y x) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1/2 binary64) (.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 (-.f64 y x) y) (.f64 (-.f64 y x) y)) (.f64 (-.f64 y x) y)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) y (*.f64 x x))))
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(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (-.f64 x y))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (-.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 x y))) (-.f64 (neg.f64 x) y))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)
(.f64 (neg.f64 (neg.f64 x)) (.f64 #s(literal 2 binary64) y))
(.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal 2 binary64) x))
(.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) y)
(.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) y))
(.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) x))
(.f64 (.f64 #s(literal -2 binary64) x) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) y) x))
(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) (/.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 y)))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(.f64 #s(literal 2 binary64) (/.f64 (.f64 y x) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 y x))
(.f64 y (/.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(.f64 y (neg.f64 (.f64 #s(literal -2 binary64) x)))
(.f64 y (.f64 #s(literal 2 binary64) x))
(.f64 x (/.f64 (.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))
(.f64 x (neg.f64 (.f64 #s(literal -2 binary64) y)))
(.f64 x (.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 y x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))
(neg.f64 (.f64 #s(literal -2 binary64) (.f64 y x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) (.f64 y x)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))

eval112.0ms (1.6%)

Memory: 15.3MiB live, 228.0MiB allocated
Compiler: Compiled 15 436 to 1 661 computations (89.2% saved)

prune365.0ms (5.2%)

Memory

-24.9MiB live, 212.1MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	662	6	668
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	662	7	669

Accuracy

100.0%

Counts

669 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
	86.1%	(*.f64 (/.f64 (+.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))
▶	72.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
▶	88.2%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
▶	86.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
▶	50.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	50.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 123 to 75 computations (39% saved)

simplify227.0ms (3.2%)

Memory

36.7MiB live, 152.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3 482×	`lower-fma.f32`
3 480×	`lower-fma.f64`
3 279×	`lower-/.f32`
3 273×	`lower-/.f64`
1 941×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	135
0	36	134
1	66	134
2	124	134
3	181	129
4	225	129
5	602	129
6	2743	129
7	3912	129
8	3960	129
9	3964	129
10	3964	129
11	5830	129
12	7425	129
13	7653	129
14	7891	129
15	7918	129
16	7918	129
0	9393	129

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1.2%)

Memory

3.6MiB live, 79.8MiB allocated

Localize:

Found 16 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 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
accuracy	0.07421875	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
accuracy	8.791537352780828	(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x)
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 y x)
accuracy	0.35793703569604357	(/.f64 #s(literal 1/2 binary64) (*.f64 y x))
accuracy	17.10635388026138	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	31.920260291278844	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	31.572422091597282	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0	(/.f64 y x)
accuracy	0	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
accuracy	0.00390625	(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	7.55786527731448	(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)

Samples

55.0ms

256×

valid

Compiler

Compiled 115 to 23 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 25.0ms (59.7% of total)

ival-div: 11.0ms (26.3% of total)

ival-add: 5.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.9%)

Memory

-46.5MiB live, 30.8MiB allocated

Counts

15 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
41.0ms	y	@	0	(/ (+ (* (/ y x) 1/2) 1/2) y)
4.0ms	x	@	inf	(/ (+ (* (/ 1/2 y) x) 1/2) x)
1.0ms	y	@	inf	(/ (+ (* (/ y x) 1/2) 1/2) y)
1.0ms	x	@	inf	(/ 1/2 (* y x))
0.0ms	x	@	-inf	(/ (+ (* (/ 1/2 y) x) 1/2) x)

simplify164.0ms (2.3%)

Memory

11.4MiB live, 85.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 301×	`lower-*.f64`
2 301×	`lower-*.f32`
2 108×	`lower-fma.f64`
2 108×	`lower-fma.f32`
906×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	1944
1	117	1944
2	244	1944
3	667	1692
4	1935	1692
5	4554	1692
6	6852	1692
7	7444	1692
8	7861	1692
0	8796	1656

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 330

Calls

Call 1

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

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

rewrite416.0ms (6%)

Memory

-8.7MiB live, 338.0MiB allocated

Rules

3 195×	`lower-fma.f32`
3 193×	`lower-fma.f64`
2 927×	`lower-*.f32`
2 925×	`lower-*.f64`
2 060×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	119
0	36	119
1	152	119
2	1168	119
0	8750	119

Stop Event

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

Counts

15 → 871

Calls

Call 1

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

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

eval218.0ms (3.1%)

Memory: -5.2MiB live, 273.2MiB allocated
Compiler: Compiled 19 919 to 1 996 computations (90% saved)

prune236.0ms (3.4%)

Memory

8.1MiB live, 359.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 227	0	1 227
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	1 227	7	1 234

Accuracy

100.0%

Counts

1 234 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	86.1%	(*.f64 (/.f64 (+.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))
✓	72.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
✓	88.2%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓	86.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
✓	50.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 67 to 41 computations (38.8% saved)

simplify580.0ms (8.3%)

Memory

38.2MiB live, 781.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

35 562×	`lower-fma.f64`
35 562×	`lower-fma.f32`
3 122×	`lower-*.f32`
3 121×	`lower-*.f64`
2 760×	`lower-+.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	17	23
2	26	23
3	47	23
4	81	23
5	106	23
6	137	21
7	376	21
8	2096	21
9	3683	21
10	4044	21
11	4230	21
12	4245	21
13	4245	21
14	6020	21
15	6722	21
16	6740	21
17	6740	21
18	6740	21
19	6740	21
0	10022	21

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (0.7%)

Memory

5.6MiB live, 44.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0	(+.f64 y x)
accuracy	0.0234375	(/.f64 (+.f64 y x) y)
accuracy	8.865756102780828	(*.f64 (/.f64 (+.f64 y x) y) (/.f64 #s(literal 1/2 binary64) x))

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-div: 4.0ms (57.6% of total)

ival-mult: 2.0ms (28.8% of total)

ival-add: 1.0ms (14.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

simplify191.0ms (2.7%)

Memory

-23.7MiB live, 161.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2 200×	`lower-fma.f64`
2 200×	`lower-fma.f32`
1 089×	`lower-*.f64`
1 089×	`lower-*.f32`
824×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	378
1	95	378
2	178	378
3	523	342
4	2537	342
5	5174	342
6	6743	342
7	7900	342
0	8116	342

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

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

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

rewrite257.0ms (3.7%)

Memory

2.4MiB live, 237.9MiB allocated

Rules

2 488×	`lower-/.f32`
2 486×	`lower-/.f64`
2 041×	`lower-*.f32`
2 040×	`lower-*.f64`
948×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	48	20
2	361	20
3	4339	20
0	8618	20

Stop Event

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

Counts

4 → 629

Calls

Call 1

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

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

eval316.0ms (4.5%)

Memory: -4.5MiB live, 190.8MiB allocated
Compiler: Compiled 15 375 to 1 938 computations (87.4% saved)

prune150.0ms (2.1%)

Memory

-8.9MiB live, 243.1MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	706	1	707
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	708	6	714

Accuracy

100.0%

Counts

714 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	72.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
✓	86.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
✓	50.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
▶	100.0%	#s(approx (* (/ (+ y x) y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Compiler

Compiled 55 to 35 computations (36.4% saved)

simplify109.0ms (1.6%)

Memory

-4.4MiB live, 105.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 699×	`lower-fma.f64`
1 699×	`lower-fma.f32`
1 175×	`lower-*.f64`
1 175×	`lower-*.f32`
626×	`lower--.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	34
0	15	34
1	23	34
2	41	34
3	99	34
4	275	34
5	571	34
6	1029	32
7	2922	32
8	5645	32
9	7519	32
0	8079	32

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.7%)

Memory

-7.2MiB live, 73.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	(/.f64 #s(literal -1/2 binary64) x)
accuracy	0	#s(approx (* (/ (+ y x) y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
accuracy	0.01953125	(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

Samples

24.0ms

256×

valid

Compiler

Compiled 28 to 13 computations (53.6% saved)

Precisions

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

ival-div: 7.0ms (42.3% of total)

ival-sub: 6.0ms (36.2% of total)

ival-mult: 2.0ms (12.1% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify343.0ms (4.9%)

Memory

19.8MiB live, 249.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 560×	`lower-*.f64`
4 560×	`lower-*.f32`
3 068×	`lower-fma.f64`
3 068×	`lower-fma.f32`
2 064×	`swap-sqr`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	21	432
1	37	432
2	49	432
3	57	432
4	77	432
5	131	432
6	211	432
7	440	360
8	565	360
9	1003	360
10	2282	360
11	3611	360
12	4196	360
13	4469	360
14	4705	360
15	4705	360
16	5498	360
17	5713	360
18	5751	360
19	6003	360
20	6254	360
21	6505	360
22	6756	360
23	6756	360
24	6756	360
25	7364	360
26	7400	360
27	7406	360
28	7406	360
29	7923	360
0	8178	360

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite220.0ms (3.1%)

Memory

-1.2MiB live, 285.9MiB allocated

Rules

2 380×	`lower-/.f32`
2 378×	`lower-/.f64`
2 031×	`lower-*.f64`
2 031×	`lower-*.f32`
2 018×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
0	15	30
1	78	30
2	731	30
0	8464	30

Stop Event

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

Counts

4 → 184

Calls

Call 1

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

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

eval91.0ms (1.3%)

Memory: -25.3MiB live, 57.5MiB allocated
Compiler: Compiled 4 370 to 515 computations (88.2% saved)

prune72.0ms (1%)

Memory

16.3MiB live, 55.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	256	6	262

Accuracy

100.0%

Counts

262 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	72.8%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
✓	86.3%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)) x))
✓	50.1%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	50.7%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	#s(approx (* (/ (+ y x) y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

Compiler

Compiled 118 to 59 computations (50% saved)

regimes48.0ms (0.7%)

Memory

-21.2MiB live, 18.0MiB allocated

Counts

8 → 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

4 → 4

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.4%	4	`x`
90.4%	4	`y`
86.3%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 4

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

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
91.0%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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

2 calls:

2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
78.8%	2	`y`
83.4%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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	y
1.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x

Results

Accuracy	Segments	Branch
50.7%	1	`y`
50.7%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
50.7%	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch72.0ms (1%)

Memory

-8.3MiB live, 30.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
7.0ms	-8.671771873486384e-147	-3.636373043989087e-147
11.0ms	-2.3454982072740438e-102	-4.314628270559331e-105
52.0ms	-4.403252570641438e+77	-2.6138648472551717e+69

Samples

16.0ms

352×

valid

Compiler

Compiled 407 to 283 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (43.6% of total)

ival-div: 2.0ms (21.8% of total)

ival-add: 2.0ms (21.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	-8.671771873486384e-147	-3.636373043989087e-147
1.0ms	-2.3454982072740438e-102	-4.314628270559331e-105
1.0ms	-4.403252570641438e+77	-2.6138648472551717e+69

Compiler

Compiled 407 to 283 computations (30.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-8.671771873486384e-147	-3.636373043989087e-147

Compiler

Compiled 84 to 62 computations (26.2% saved)

simplify8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	180
1	46	180
2	55	180
3	61	180
4	66	180
5	68	180

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (/ (+ y x) y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(if (<=.f64 x #s(literal -440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal -3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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)))))
(if (<=.f64 x #s(literal -440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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)))))
(if (<=.f64 x #s(literal -3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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
#s(approx (* (/ (+ y x) y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(if (<=.f64 x #s(literal -440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (if (<=.f64 x #s(literal -3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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)))))
(if (<=.f64 x #s(literal -440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 x #s(literal -3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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)))))
(if (<=.f64 x #s(literal -440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x)) (if (<=.f64 x #s(literal -3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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)))))
(if (<=.f64 x #s(literal -440000000000000007850954824126484414892925723216830933450639269273180296970240 binary64)) #s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y)) (if (<=.f64 x #s(literal -3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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)))))
(if (<=.f64 x #s(literal -3824076725361717/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 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))

soundness952.0ms (13.6%)

Memory

-37.4MiB live, 374.9MiB allocated

Rules

2 884×	`lower-/.f32`
2 883×	`lower-/.f64`
2 200×	`lower-fma.f64`
2 200×	`lower-fma.f32`
2 193×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	475	372
4	1337	372
5	2530	372
6	4212	372
7	5357	372
8	6256	372
9	6909	372
10	7367	372
11	7968	372
0	8227	366
0	36	378
1	95	378
2	178	378
3	523	342
4	2537	342
5	5174	342
6	6743	342
7	7900	342
0	8116	342
0	7	20
0	11	20
1	39	20
2	251	20
3	2914	20
0	8839	20

Stop Event

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

Compiler

Compiled 176 to 80 computations (54.5% saved)

preprocess76.0ms (1.1%)

Memory: 16.8MiB live, 134.1MiB allocated
Remove: (sort x y)
Compiler: Compiled 244 to 94 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze20.0ms (0.3%)

sample933.0ms (13.3%)

explain73.0ms (1%)

preprocess52.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize36.0ms (0.5%)

series10.0ms (0.1%)

simplify171.0ms (2.4%)

rewrite203.0ms (2.9%)

eval112.0ms (1.6%)

prune365.0ms (5.2%)

simplify227.0ms (3.2%)

localize87.0ms (1.2%)

series63.0ms (0.9%)

simplify164.0ms (2.3%)

rewrite416.0ms (6%)

eval218.0ms (3.1%)

prune236.0ms (3.4%)

simplify580.0ms (8.3%)

localize48.0ms (0.7%)

series3.0ms (0%)

simplify191.0ms (2.7%)

rewrite257.0ms (3.7%)

eval316.0ms (4.5%)

prune150.0ms (2.1%)

simplify109.0ms (1.6%)

localize46.0ms (0.7%)

series3.0ms (0%)

simplify343.0ms (4.9%)

rewrite220.0ms (3.1%)

eval91.0ms (1.3%)

prune72.0ms (1%)

regimes48.0ms (0.7%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

bsearch72.0ms (1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness952.0ms (13.6%)

preprocess76.0ms (1.1%)

end0.0ms (0%)

Profiling