Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.3%)

Memory

-12.2MiB live, 26.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample746.0ms (20.8%)

Memory

-18.7MiB live, 916.1MiB allocated

Samples

472.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 310.0ms

ival-add: 231.0ms (74.5% of total)

ival-div: 69.0ms (22.3% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain52.0ms (1.4%)

Memory

27.6MiB live, 102.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (+.f64 x y) (+.f64 y y))`
0	-	-	`(+.f64 y y)`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (+.f64 y y))`	n/o	1	0
↳	`(+.f64 y y)`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 6.0ms (52.6% of total)

ival-add: 5.0ms (43.8% of total)

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

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

preprocess85.0ms (2.4%)

Memory

-8.2MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Rules

428×	`times-frac`
410×	`distribute-lft-in`
386×	`distribute-rgt-in`
318×	`div-sub`
272×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	42	35
2	106	35
3	310	35
4	1262	35
5	2388	35
6	3252	35
7	3801	35
8	4253	35
9	4303	35
10	4335	35
11	4411	35
12	4595	35
0	5	7
0	8	7
1	11	7
2	14	7
3	16	7
0	16	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 y x) (+.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) (+.f64 y y))

Rules

5×	`lower-/.f32`
4×	`lower-/.f64`
3×	`lower-+.f32`
2×	`lift-+.f64`
2×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	11	15
2	14	15
3	16	15
0	16	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 y x) (+.f64 y y))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 y y)

localize23.0ms (0.6%)

Memory

-11.0MiB live, 35.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 x y)
accuracy	0.2578014823474126	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

17.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-add: 3.0ms (65.4% of total)

ival-div: 2.0ms (43.6% of total)

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

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

series5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())

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

Calls

15 calls:

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

simplify142.0ms (4%)

Memory

-14.1MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 376×	`lower-fma.f64`
2 376×	`lower-fma.f32`
1 336×	`lower-*.f64`
1 336×	`lower-*.f32`
857×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	240
1	95	240
2	195	240
3	539	240
4	2494	240
5	4900	240
6	6147	240
7	7103	240
8	7625	240
0	8012	222

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

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

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

rewrite64.0ms (1.8%)

Memory

9.6MiB live, 89.8MiB allocated

Rules

832×	`frac-times`
196×	`times-frac`
155×	`associate-*r/`
155×	`frac-2neg`
145×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	21
1	38	21
2	305	21
3	4698	21
0	8	21
1	38	21
2	305	21
0	8	13
1	38	13
0	305	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 61

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
(+.f64 y y)

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

eval13.0ms (0.4%)

Memory: -6.6MiB live, 30.9MiB allocated
Compiler: Compiled 1 183 to 158 computations (86.6% saved)

prune13.0ms (0.4%)

Memory

-3.3MiB live, 34.2MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Accuracy

100.0%

Counts

116 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	4.2%	(*.f64 (+.f64 y y) (+.f64 y x))
▶	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
▶	54.0%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	46.9%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 39 to 23 computations (41% saved)

simplify8.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

57×	`lower-fma.f32`
56×	`lower-fma.f64`
42×	`lower-+.f32`
40×	`lower-+.f64`
39×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
0	21	75
1	35	75
2	62	75
3	102	75
4	139	75
5	176	75
6	178	75
0	178	75

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (1.2%)

Memory

2.3MiB live, 52.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 y x)
accuracy	0.00390625	(*.f64 (+.f64 y y) (+.f64 y x))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.193691259768442	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	29.30304072613841	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	33.975619491772356	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 5.0ms (42.9% of total)

ival-div: 4.0ms (34.3% of total)

ival-mult: 3.0ms (25.7% of total)

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

exact: 0.0ms (0% of total)

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

series43.0ms (1.2%)

Memory

-23.3MiB live, 14.9MiB allocated

Counts

9 → 192

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(* (+ y y) (+ y x))
1.0ms	x	@	inf	(* (/ 1/2 y) x)
0.0ms	x	@	0	(* (/ 1/2 y) x)
0.0ms	y	@	0	(* (/ 1/2 y) x)
0.0ms	y	@	inf	(* (/ 1/2 y) x)

simplify167.0ms (4.6%)

Memory

46.3MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 736×	`lower-fma.f64`
2 736×	`lower-fma.f32`
1 643×	`lower-*.f64`
1 643×	`lower-*.f32`
675×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	984
1	176	984
2	393	984
3	1174	984
4	2714	984
5	5966	984
0	8085	912

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 186

Calls

Call 1

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

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

rewrite103.0ms (2.9%)

Memory

-14.9MiB live, 95.1MiB allocated

Rules

412×	`frac-add`
294×	`times-frac`
281×	`associate-*l/`
276×	`associate-*r/`
212×	`frac-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	21	57
1	93	57
2	804	57
0	21	63
1	93	63
0	804	63

Stop Event

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

Counts

9 → 236

Calls

Call 1

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

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

eval118.0ms (3.3%)

Memory: 2.1MiB live, 110.7MiB allocated
Compiler: Compiled 5 001 to 506 computations (89.9% saved)

prune80.0ms (2.2%)

Memory

-1.3MiB live, 83.3MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	472	5	477
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	472	10	482

Accuracy

100.0%

Counts

482 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.8%	(fma.f64 (+.f64 y y) x (+.f64 y y))
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	4.2%	(*.f64 (+.f64 y y) (+.f64 y x))
✓	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
▶	23.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
▶	54.2%	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
✓	54.0%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	46.9%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	3.2%	#s(approx (* (+ y y) (+ y x)) (.f64 (.f64 y y) #s(literal 2 binary64)))

Compiler

Compiled 125 to 67 computations (46.4% saved)

simplify24.0ms (0.7%)

Memory

30.6MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y y)
cost-diff	64	(fma.f64 (+.f64 y y) x (+.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (* (+ y y) (+ y x)) (.f64 (.f64 y y) #s(literal 2 binary64)))
cost-diff	128	(.f64 (.f64 y y) #s(literal 2 binary64))
cost-diff	0	(+.f64 y y)
cost-diff	0	(fma.f64 (+.f64 y y) x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
cost-diff	0	(+.f64 y y)
cost-diff	0	(*.f64 (+.f64 y y) x)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
cost-diff	0	(+.f64 y y)
cost-diff	0	(/.f64 x (+.f64 y y))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))

Rules

259×	`lower-fma.f32`
257×	`lower-fma.f64`
135×	`lower-*.f32`
132×	`lower-*.f64`
84×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	108
0	28	108
1	44	107
2	73	107
3	162	107
4	238	107
5	293	107
6	386	107
7	386	107
8	424	107
9	500	107
10	554	107
11	588	107
12	613	107
13	613	107
0	613	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (2%)

Memory

-24.8MiB live, 86.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0.24999793583020583	(fma.f64 (+.f64 y y) x (+.f64 y y))
accuracy	0	(.f64 (.f64 y y) #s(literal 2 binary64))
accuracy	0	(*.f64 y y)
accuracy	27.05432198349723	#s(approx (* (+ y y) (+ y x)) (.f64 (.f64 y y) #s(literal 2 binary64)))
accuracy	0	(fma.f64 (+.f64 y y) x #s(literal 1/2 binary64))
accuracy	0	(+.f64 y y)
accuracy	49.22700253223286	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 (+.f64 y y) x)
accuracy	61.65088258056785	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
accuracy	0	(+.f64 y y)
accuracy	0.2385985489757712	(/.f64 x (+.f64 y y))
accuracy	29.30304072613841	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))

Samples

36.0ms

256×

valid

Compiler

Compiled 87 to 17 computations (80.5% saved)

Precisions

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

ival-add: 6.0ms (38% of total)

ival-mult: 6.0ms (38% of total)

ival-div: 4.0ms (25.3% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify168.0ms (4.7%)

Memory

-57.7MiB live, 223.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 410×	`lower-fma.f64`
3 410×	`lower-fma.f32`
1 903×	`lower-*.f64`
1 903×	`lower-*.f32`
1 288×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1268
1	217	1268
2	540	1268
3	1163	1268
4	2117	1268
5	5465	1268
0	8245	1175

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite60.0ms (1.7%)

Memory

12.3MiB live, 87.7MiB allocated

Rules

926×	`frac-add`
634×	`times-frac`
552×	`frac-sub`
312×	`lower-fma.f32`
310×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	28	81
1	108	81
2	996	81
0	28	86
1	108	83
0	996	83

Stop Event

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

Counts

11 → 359

Calls

Call 1

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

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

eval116.0ms (3.2%)

Memory: 26.2MiB live, 252.9MiB allocated
Compiler: Compiled 10 146 to 808 computations (92% saved)

prune119.0ms (3.3%)

Memory

-40.4MiB live, 294.6MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	919	8	927
Fresh	0	0	0
Picked	2	3	5
Done	1	4	5
Total	922	15	937

Accuracy

100.0%

Counts

937 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
✓	23.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	54.2%	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
▶	3.0%	#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
✓	54.0%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
▶	3.7%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))
✓	46.9%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	3.0%	#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
	3.6%	#s(approx (* (+ y y) (+ y x)) (/.f64 #s(literal 1/2 binary64) y))
	3.2%	#s(approx (* (+ y y) (+ y x)) (*.f64 (+.f64 y y) y))
▶	3.2%	#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
▶	3.0%	#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
	2.8%	#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal -2 binary64) y))

Compiler

Compiled 181 to 103 computations (43.1% saved)

simplify12.0ms (0.3%)

Memory

-5.4MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
cost-diff	448	(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 y y))
cost-diff	0	#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
cost-diff	192	(*.f64 #s(literal 2 binary64) (+.f64 y y))
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
cost-diff	0	(+.f64 y y)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))
cost-diff	192	(*.f64 #s(literal 2 binary64) (+.f64 y y))

Rules

119×	`lower-fma.f32`
118×	`lower-fma.f64`
78×	`lower-*.f32`
74×	`lower-*.f64`
67×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	123
0	27	117
1	53	103
2	120	103
3	237	103
4	303	103
5	354	103
0	354	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)
(*.f64 #s(literal 2 binary64) (+.f64 y y))
#s(literal 2 binary64)
(+.f64 y y)
y
x
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
(+.f64 y y)
y
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
#s(literal 2 binary64)
(+.f64 y y)
y
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
(.f64 #s(literal 4 binary64) (.f64 y y))
#s(literal 4 binary64)
(*.f64 y y)
y
#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
#s(literal 2 binary64)
(+.f64 y y)
y

Outputs
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 y x) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)
(.f64 (.f64 y x) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 4 binary64) y)
#s(literal 2 binary64)
(+.f64 y y)
y
x
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
(+.f64 y y)
y
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 4 binary64) y)
#s(literal 2 binary64)
(+.f64 y y)
y
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (.f64 (.f64 y y) #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 y y)
y
#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 6 binary64) y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(*.f64 #s(literal 6 binary64) y)
#s(literal 2 binary64)
(+.f64 y y)
y

localize60.0ms (1.7%)

Memory

20.0MiB live, 100.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	60.886078912805196	#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 y y))
accuracy	36.76877948425659	#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 #s(literal 2 binary64) (+.f64 y y))
accuracy	60.88731595516845	#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
accuracy	0	(+.f64 y y)
accuracy	62.076877774532775	#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	(.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)
accuracy	0	(*.f64 #s(literal 2 binary64) (+.f64 y y))
accuracy	61.65013975186098	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))

Samples

42.0ms

256×

valid

Compiler

Compiled 93 to 16 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 24.0ms (78% of total)

ival-add: 5.0ms (16.2% of total)

ival-div: 2.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

11 → 204

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())
#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())

Outputs
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 y) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (+.f64 y y)) (patch (.f64 #s(literal 2 binary64) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 y)) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 y)) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 y)) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) (patch #s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor 0 y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor inf y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor -inf y) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 4 (* x y)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) (patch (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor 0 y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 2 y) (taylor -inf y) (#s(alt (+.f64 y y) (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x y)) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 y)) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 y)) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 x) (* 1/2 y)) y) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) (patch #s(approx (/ (+ x y) (+ y y)) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (+.f64 y y))) (patch #s(approx ( (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 4 binary64) (.f64 y y)) (patch (.f64 #s(literal 4 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor 0 y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor inf y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 6 y) (taylor -inf y) (#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* 2 x) (* 2 y))) (taylor 0 y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* 2 (/ x y)))) (taylor -inf y) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* x y)) (* 2 (pow y 2))) (taylor 0 x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x)))) (taylor inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x y)) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) (patch #s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(* 2 (+ y y))
0.0ms	y	@	0	(* 2 (+ y y))
0.0ms	y	@	inf	(* 2 (+ y y))
0.0ms	y	@	0	(* 4 (* y y))
0.0ms	y	@	0	(* (* 2 (+ y y)) x)

simplify222.0ms (6.2%)

Memory

-30.3MiB live, 165.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3 004×	`lower-fma.f64`
3 004×	`lower-fma.f32`
1 540×	`lower-*.f64`
1 540×	`lower-*.f32`
901×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	1080
1	135	1080
2	303	1080
3	611	1080
4	1200	1080
5	2829	1080
6	5107	1080
7	7628	1080
0	8079	1044

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 y)
(* 4 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 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))
(/ (+ (* 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)))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 4 (* x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 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 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))
(/ (+ (* 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)))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(* 4 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 6 y)
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))

Outputs
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
(* 4 y)
(*.f64 y #s(literal 4 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 4 (* x y))
(.f64 (.f64 x #s(literal 4 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 y)) y)
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (/ x y)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(* 4 (pow y 2))
(.f64 (.f64 y y) #s(literal 4 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 6 y)
(*.f64 #s(literal 6 binary64) y)
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* y (+ (* 2 x) (* 2 y)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* 2 (* x y))
(.f64 (.f64 #s(literal 2 binary64) x) y)
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(.f64 (.f64 (+.f64 x y) y) #s(literal 2 binary64))

rewrite72.0ms (2%)

Memory

31.5MiB live, 68.0MiB allocated

Rules

829×	`frac-sub`
347×	`associate-*r/`
331×	`lower-fma.f32`
330×	`lower-fma.f64`
184×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	99
0	27	105
1	98	105
2	990	105
0	27	89
1	98	77
0	990	77

Stop Event

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

Counts

11 → 481

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
(.f64 #s(literal 4 binary64) (.f64 y y))
(*.f64 y y)
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 6 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) y))
(*.f64 #s(literal 8 binary64) (+.f64 y y))
(*.f64 #s(literal -1 binary64) (+.f64 y y))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 3 binary64) (+.f64 y y))
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 y y))
(*.f64 #s(literal 4 binary64) (+.f64 y y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) #s(literal 3 binary64))
(*.f64 (+.f64 y y) #s(literal 4 binary64))
(*.f64 (+.f64 y y) (+.f64 y y))
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 6 binary64) y y))
(*.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (+.f64 y y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 6 binary64) y y) (fma.f64 #s(literal 6 binary64) y y)) (.f64 y y)) (-.f64 (fma.f64 #s(literal 6 binary64) y y) y))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) y y) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 6 binary64) y y) (fma.f64 #s(literal 6 binary64) y y) (-.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 6 binary64) y y) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (+.f64 y y) (+.f64 y y))
(neg.f64 (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64) (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 6 binary64) y (+.f64 y y))
(fma.f64 #s(literal -2 binary64) y (+.f64 y y))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal -1 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) y (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))
(fma.f64 y #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(fma.f64 y #s(literal 4 binary64) (+.f64 y y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 y y (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 6 binary64) y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) y (+.f64 y y))
(-.f64 (-.f64 (+.f64 y y) y) y)
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 y y))
(-.f64 (+.f64 y y) (+.f64 y y))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal 6 binary64) y y) y)
(+.f64 (.f64 y #s(literal 3 binary64)) (.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 3 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (+.f64 y y) (+.f64 y y))
(+.f64 y (fma.f64 #s(literal 6 binary64) y y))
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (*.f64 x (+.f64 y y)))
(.f64 (.f64 x #s(literal 2 binary64)) (+.f64 y y))
(.f64 (.f64 x #s(literal 2 binary64)) y)
(.f64 (.f64 x (+.f64 y y)) #s(literal 2 binary64))
(*.f64 x (+.f64 y y))
(.f64 (+.f64 y y) (.f64 #s(literal 2 binary64) x))
(*.f64 (+.f64 y y) x)
(.f64 #s(literal 2 binary64) (.f64 x (+.f64 y y)))
(.f64 #s(literal 2 binary64) (.f64 x y))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 x (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (.f64 x #s(literal 2 binary64)) (+.f64 y y) (.f64 x (+.f64 y y)))
(fma.f64 (.f64 x #s(literal 2 binary64)) y (.f64 x (+.f64 y y)))
(fma.f64 (.f64 x (+.f64 y y)) #s(literal 2 binary64) (.f64 x (+.f64 y y)))
(fma.f64 x (+.f64 y y) (*.f64 x (+.f64 y y)))
(fma.f64 x y (*.f64 x y))
(fma.f64 (+.f64 y y) (.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 y y)))
(fma.f64 (+.f64 y y) x (*.f64 x (+.f64 y y)))
(fma.f64 y x (*.f64 x y))
(fma.f64 #s(literal 2 binary64) (.f64 x (+.f64 y y)) (.f64 x (+.f64 y y)))
(fma.f64 #s(literal 2 binary64) (.f64 x y) (.f64 x (+.f64 y y)))
(+.f64 (.f64 x (+.f64 y y)) (.f64 x (+.f64 y y)))
(+.f64 (.f64 x y) (.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 6 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) y))
(*.f64 #s(literal 8 binary64) (+.f64 y y))
(*.f64 #s(literal -1 binary64) (+.f64 y y))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 3 binary64) (+.f64 y y))
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 y y))
(*.f64 #s(literal 4 binary64) (+.f64 y y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) #s(literal 3 binary64))
(*.f64 (+.f64 y y) #s(literal 4 binary64))
(*.f64 (+.f64 y y) (+.f64 y y))
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 6 binary64) y y))
(*.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (+.f64 y y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 6 binary64) y y) (fma.f64 #s(literal 6 binary64) y y)) (.f64 y y)) (-.f64 (fma.f64 #s(literal 6 binary64) y y) y))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) y y) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 6 binary64) y y) (fma.f64 #s(literal 6 binary64) y y) (-.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 6 binary64) y y) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (+.f64 y y) (+.f64 y y))
(neg.f64 (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64) (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 6 binary64) y (+.f64 y y))
(fma.f64 #s(literal -2 binary64) y (+.f64 y y))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal -1 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) y (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))
(fma.f64 y #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(fma.f64 y #s(literal 4 binary64) (+.f64 y y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 y y (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 6 binary64) y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) y (+.f64 y y))
(-.f64 (-.f64 (+.f64 y y) y) y)
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 y y))
(-.f64 (+.f64 y y) (+.f64 y y))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal 6 binary64) y y) y)
(+.f64 (.f64 y #s(literal 3 binary64)) (.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 3 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (+.f64 y y) (+.f64 y y))
(+.f64 y (fma.f64 #s(literal 6 binary64) y y))
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 6 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) y))
(*.f64 #s(literal 8 binary64) (+.f64 y y))
(*.f64 #s(literal -1 binary64) (+.f64 y y))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 3 binary64) (+.f64 y y))
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 y y))
(*.f64 #s(literal 4 binary64) (+.f64 y y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) #s(literal 3 binary64))
(*.f64 (+.f64 y y) #s(literal 4 binary64))
(*.f64 (+.f64 y y) (+.f64 y y))
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 6 binary64) y y))
(*.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (+.f64 y y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 6 binary64) y y) (fma.f64 #s(literal 6 binary64) y y)) (.f64 y y)) (-.f64 (fma.f64 #s(literal 6 binary64) y y) y))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) y y) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 6 binary64) y y) (fma.f64 #s(literal 6 binary64) y y) (-.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 6 binary64) y y) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (+.f64 y y) (+.f64 y y))
(neg.f64 (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64) (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 6 binary64) y (+.f64 y y))
(fma.f64 #s(literal -2 binary64) y (+.f64 y y))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal -1 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) y (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))
(fma.f64 y #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(fma.f64 y #s(literal 4 binary64) (+.f64 y y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 y y (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 6 binary64) y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) y (+.f64 y y))
(-.f64 (-.f64 (+.f64 y y) y) y)
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 y y))
(-.f64 (+.f64 y y) (+.f64 y y))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal 6 binary64) y y) y)
(+.f64 (.f64 y #s(literal 3 binary64)) (.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 3 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (+.f64 y y) (+.f64 y y))
(+.f64 y (fma.f64 #s(literal 6 binary64) y y))
(+.f64 y y)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 #s(literal 6 binary64) y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)))
(.f64 #s(literal 8 binary64) (.f64 (*.f64 y y) y))
(*.f64 #s(literal 8 binary64) (+.f64 y y))
(*.f64 #s(literal -1 binary64) (+.f64 y y))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 3 binary64) (+.f64 y y))
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 y y))
(*.f64 #s(literal 4 binary64) (+.f64 y y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 (+.f64 y y) #s(literal 8 binary64))
(*.f64 (+.f64 y y) #s(literal 3 binary64))
(*.f64 (+.f64 y y) #s(literal 4 binary64))
(*.f64 (+.f64 y y) (+.f64 y y))
(*.f64 (+.f64 y y) y)
(*.f64 (+.f64 y y) #s(literal 2 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 y (+.f64 y y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 6 binary64) y y))
(*.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y))
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(pow.f64 (+.f64 y y) #s(literal 3 binary64))
(pow.f64 (+.f64 y y) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 y y)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 (+.f64 y y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 y (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 6 binary64) y y) (fma.f64 #s(literal 6 binary64) y y)) (.f64 y y)) (-.f64 (fma.f64 #s(literal 6 binary64) y y) y))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 6 binary64) y y) #s(literal 3 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (fma.f64 #s(literal 6 binary64) y y) (fma.f64 #s(literal 6 binary64) y y) (-.f64 (.f64 y y) (.f64 (fma.f64 #s(literal 6 binary64) y y) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (+.f64 y y) (+.f64 y y))
(neg.f64 (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64) (+.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 #s(literal 6 binary64) y (+.f64 y y))
(fma.f64 #s(literal -2 binary64) y (+.f64 y y))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y y) #s(literal 3/2 binary64)) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 8 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal -1 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 1 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (+.f64 y y))
(fma.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 3 binary64) y (*.f64 #s(literal 3 binary64) y))
(fma.f64 (*.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 4 binary64) y (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 3 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 4 binary64) (+.f64 y y))
(fma.f64 (+.f64 y y) (+.f64 y y) (+.f64 y y))
(fma.f64 (+.f64 y y) y (+.f64 y y))
(fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y))
(fma.f64 y #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(fma.f64 y #s(literal 4 binary64) (+.f64 y y))
(fma.f64 y (+.f64 y y) (+.f64 y y))
(fma.f64 y y (*.f64 y y))
(fma.f64 y #s(literal 2 binary64) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 6 binary64) y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 y y) y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y))
(fma.f64 #s(literal 2 binary64) y (+.f64 y y))
(-.f64 (-.f64 (+.f64 y y) y) y)
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 y y))
(-.f64 (+.f64 y y) (+.f64 y y))
(exp.f64 (*.f64 (log.f64 (+.f64 y y)) #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal 6 binary64) y y) y)
(+.f64 (.f64 y #s(literal 3 binary64)) (.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) y) (.f64 #s(literal 3 binary64) y))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 (.f64 y y) (.f64 y y))
(+.f64 (+.f64 y y) (+.f64 y y))
(+.f64 y (fma.f64 #s(literal 6 binary64) y y))
(+.f64 y y)
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))

eval209.0ms (5.8%)

Memory: 5.7MiB live, 239.4MiB allocated
Compiler: Compiled 14 261 to 777 computations (94.6% saved)

prune144.0ms (4%)

Memory

-22.9MiB live, 294.5MiB allocated

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	1 295	10	1 305
Fresh	3	0	3
Picked	3	2	5
Done	0	7	7
Total	1 301	19	1 320

Accuracy

100.0%

Counts

1 320 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 x y) (+.f64 y y))
✓	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
✓	23.1%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
	3.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
✓	54.2%	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
	3.6%	#s(approx (/ (+ x y) (+ y y)) (/.f64 #s(literal 1/2 binary64) y))
✓	3.0%	#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
✓	54.0%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
	3.2%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) y))
✓	3.7%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
	3.0%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
	3.7%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))
	3.7%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 6 binary64) y) x))
	3.0%	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 6 binary64) y))
	2.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
✓	46.9%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	3.2%	#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
	3.0%	#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 y y) #s(literal 8 binary64))))
	2.8%	#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))

Compiler

Compiled 322 to 124 computations (61.5% saved)

regimes27.0ms (0.7%)

Memory

12.9MiB live, 51.3MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 6 binary64) y))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (.f64 (.f64 y y) #s(literal 2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 6 binary64) y) x))
#s(approx (* (+ y y) (+ y x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y y) (+.f64 y x))
#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) x (+.f64 y y))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 y y) #s(literal 8 binary64))))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(/.f64 (+.f64 x y) (+.f64 y y))

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

Calls

3 calls:

10.0ms	x
8.0ms	y
7.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes25.0ms (0.7%)

Memory

-14.6MiB live, 64.0MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 6 binary64) y))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (.f64 (.f64 y y) #s(literal 2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 6 binary64) y) x))
#s(approx (* (+ y y) (+ y x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y y) (+.f64 y x))
#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) x (+.f64 y y))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 y y) #s(literal 8 binary64))))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))
#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))

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

Calls

3 calls:

8.0ms	y
8.0ms	x
7.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
75.7%	3	`x`
78.1%	3	`y`
97.7%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes26.0ms (0.7%)

Memory

8.4MiB live, 61.9MiB allocated

Accuracy

Total -29.4b remaining (-86.5%)

Threshold costs -29.4b (-86.5%)

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal 6 binary64) y))
#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) #s(literal 8 binary64)))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 4 binary64) (.f64 y y)))
#s(approx (* (+ y y) (+ y x)) (.f64 (.f64 y y) #s(literal 2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 6 binary64) y) x))
#s(approx (* (+ y y) (+ y x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ x y) (+ y y)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (+.f64 y y) (+.f64 y x))
#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) #s(literal 8 binary64) (+.f64 y y)))
(fma.f64 (+.f64 y y) x (+.f64 y y))
#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 y y) #s(literal 8 binary64))))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))
#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 8 binary64)) x))

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

Calls

3 calls:

11.0ms	y
7.0ms	x
6.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
46.9%	1	`x`
46.9%	1	`y`
46.9%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.950041775582118	16692.147134687428
0.0ms	-11028.812532159767	0.0

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify7.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	78
1	25	78

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10000 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))))

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

Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -10000 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))))
(if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal -10000 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y))) (if (<=.f64 (/.f64 (+.f64 y x) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

soundness445.0ms (12.4%)

Memory

-30.5MiB live, 246.8MiB allocated

Rules

2 376×	`lower-fma.f64`
2 376×	`lower-fma.f32`
1 336×	`lower-*.f64`
1 336×	`lower-*.f32`
857×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	21	57
1	93	57
2	804	57
0	21	63
1	93	63
0	804	63
0	34	240
1	95	240
2	195	240
3	539	240
4	2494	240
5	4900	240
6	6147	240
7	7103	240
8	7625	240
0	8012	222

Stop Event

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

Compiler

Compiled 74 to 36 computations (51.4% saved)

preprocess37.0ms (1%)

Memory: 9.3MiB live, 87.5MiB allocated
Compiler: Compiled 126 to 52 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	108
0	28	108
1	44	107
2	73	107
3	162	107
4	238	107
5	293	107
6	386	107
7	386	107
8	424	107
9	500	107
10	554	107
11	588	107
12	613	107
13	613	107
0	613	103

Iter	Nodes	Cost
0	20	108
0	28	108
1	44	107
2	73	107
3	162	107
4	238	107
5	293	107
6	386	107
7	386	107
8	424	107
9	500	107
10	554	107
11	588	107
12	613	107
13	613	107
0	613	103

start0.0ms (0%)

analyze12.0ms (0.3%)

sample746.0ms (20.8%)

explain52.0ms (1.4%)

preprocess85.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.6%)

series5.0ms (0.1%)

simplify142.0ms (4%)

rewrite64.0ms (1.8%)

eval13.0ms (0.4%)

prune13.0ms (0.4%)

simplify8.0ms (0.2%)

localize43.0ms (1.2%)

series43.0ms (1.2%)

simplify167.0ms (4.6%)

rewrite103.0ms (2.9%)

eval118.0ms (3.3%)

prune80.0ms (2.2%)

simplify24.0ms (0.7%)

localize73.0ms (2%)

series10.0ms (0.3%)

simplify168.0ms (4.7%)

rewrite60.0ms (1.7%)

eval116.0ms (3.2%)

prune119.0ms (3.3%)

simplify12.0ms (0.3%)

localize60.0ms (1.7%)

series9.0ms (0.3%)

simplify222.0ms (6.2%)

rewrite72.0ms (2%)

eval209.0ms (5.8%)

prune144.0ms (4%)

regimes27.0ms (0.7%)

regimes25.0ms (0.7%)

regimes26.0ms (0.7%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness445.0ms (12.4%)

preprocess37.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	108
0	28	108
1	44	107
2	73	107
3	162	107
4	238	107
5	293	107
6	386	107
7	386	107
8	424	107
9	500	107
10	554	107
11	588	107
12	613	107
13	613	107
0	613	103