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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB 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)

sample810.0ms (20.2%)

Memory

-4.6MiB live, 899.8MiB allocated

Samples

403.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-add: 124.0ms (52.4% of total)

ival-div: 104.0ms (43.9% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain63.0ms (1.6%)

Memory

-8.8MiB live, 116.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 y y)`
-	-	`(/.f64 (+.f64 x y) (+.f64 y y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 10.0ms (71.2% of total)

ival-div: 4.0ms (28.5% of total)

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

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

preprocess89.0ms (2.2%)

Memory

16.1MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Rules

856×	`times-frac`
820×	`distribute-lft-in`
772×	`distribute-rgt-in`
636×	`div-sub`
544×	`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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify3.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB 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

10×	`lower-/.f32`
8×	`lower-/.f64`
6×	`lower-+.f32`
4×	`lift-+.f64`
4×	`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)

localize16.0ms (0.4%)

Memory

4.3MiB live, 42.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

12.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (62.2% of total)

ival-add: 2.0ms (31.1% of total)

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

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

series18.0ms (0.4%)

Memory

-13.1MiB live, 25.8MiB 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 (/ 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 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 (* 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 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 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 (* 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 -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 -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 -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 (/.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 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 (* 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 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 (* 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 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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	((/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	y	@	inf	((/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	y	@	0	((/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (+ x y) (+ y y))
0.0ms	x	@	inf	((/ (+ x y) (+ y y)) (+ x y) (+ y y))

simplify109.0ms (2.7%)

Memory

12.1MiB live, 128.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 752×	`lower-fma.f64`
4 752×	`lower-fma.f32`
2 808×	`lower-*.f64`
2 808×	`lower-*.f32`
1 714×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	240
1	95	240
2	195	240
3	532	240
4	2458	240
5	4857	240
6	6132	240
7	7089	240
8	7601	240
0	8038	222

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

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

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

rewrite65.0ms (1.6%)

Memory

-20.8MiB live, 101.8MiB allocated

Rules

150×	`lower-/.f32`
148×	`lower-/.f64`
128×	`lower-*.f64`
128×	`lower-*.f32`
76×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
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)

eval10.0ms (0.3%)

Memory: 24.4MiB live, 24.4MiB allocated
Compiler: Compiled 1 183 to 159 computations (86.6% saved)

prune12.0ms (0.3%)

Memory

-9.7MiB live, 29.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	4	116

Accuracy

100.0%

Counts

116 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.1%	(*.f64 (+.f64 y y) (+.f64 y x))
▶	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	48.3%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
▶	53.2%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify8.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB 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 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #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

114×	`lower-fma.f32`
112×	`lower-fma.f64`
84×	`lower-+.f32`
80×	`lower-+.f64`
78×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	24	75
1	44	75
2	72	75
3	113	75
4	147	75
5	180	75
0	180	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 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(*.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))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(*.f64 (+.f64 y y) (+.f64 y x))
(*.f64 (+.f64 y x) (+.f64 y y))
(+.f64 y y)
y
(+.f64 y x)
x

localize429.0ms (10.7%)

Memory

-31.3MiB live, 48.0MiB 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	(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.2109375	(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy	32.95845465462888	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy	29.97776310387914	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Samples

421.0ms

256×

valid

Compiler

Compiled 63 to 15 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 10.0ms (53.1% of total)

ival-add: 5.0ms (26.5% of total)

ival-mult: 4.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.4%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

10 → 216

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

6 calls:

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

simplify140.0ms (3.5%)

Memory

-50.5MiB live, 114.8MiB allocated

Algorithm

1×	egg-herbie

Rules

5 472×	`lower-fma.f64`
5 472×	`lower-fma.f32`
3 286×	`lower-*.f64`
3 286×	`lower-*.f32`
1 342×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1056
1	176	1056
2	395	1056
3	1161	1056
4	2732	1056
5	5988	1056
0	8104	984

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 210

Calls

Call 1

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

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

rewrite57.0ms (1.4%)

Memory

-3.8MiB live, 72.0MiB allocated

Rules

412×	`lower-/.f32`
408×	`lower-/.f64`
398×	`lower-*.f32`
394×	`lower-*.f64`
266×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	24	66
1	106	66
0	840	66

Stop Event

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

Counts

10 → 255

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

eval50.0ms (1.2%)

Memory: 21.3MiB live, 102.1MiB allocated
Compiler: Compiled 4 794 to 503 computations (89.5% saved)

prune77.0ms (1.9%)

Memory

-18.9MiB live, 94.5MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	460	5	465
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	461	8	469

Accuracy

100.0%

Counts

469 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.8%	(fma.f64 (+.f64 y y) x (+.f64 y y))
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	30.6%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
▶	48.5%	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
✓	48.3%	#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))
✓	53.2%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	3.4%	#s(approx (* (+ y y) (+ y x)) (.f64 (.f64 y y) #s(literal 2 binary64)))

Compiler

Compiled 107 to 57 computations (46.7% saved)

simplify23.0ms (0.6%)

Memory

24.8MiB live, 24.8MiB 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

518×	`lower-fma.f32`
514×	`lower-fma.f64`
270×	`lower-*.f32`
264×	`lower-*.f64`
168×	`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))
(*.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)))
#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

localize69.0ms (1.7%)

Memory

-12.4MiB live, 69.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (+.f64 y y) x (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(.f64 (.f64 y y) #s(literal 2 binary64))
accuracy	23.97260029260351	#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	44.39753780014581	#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	61.642490264726206	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
accuracy	0	(/.f64 x (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	32.95845465462888	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))

Samples

59.0ms

256×

valid

Compiler

Compiled 87 to 17 computations (80.5% saved)

Precisions

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

ival-add: 6.0ms (34.5% of total)

ival-mult: 6.0ms (34.5% of total)

ival-div: 5.0ms (28.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.4%)

Memory

-0.5MiB live, 36.5MiB 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
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#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 y)) (taylor 0 y) (#s(alt (/.f64 x (+.f64 y y)) (patch (/.f64 x (+.f64 y y)) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 #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 (* 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 (/ 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 (* 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 (* 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 (* 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

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) x) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (* y y) 2) (* (+ y y) (+ y x)) (* y y) (+ (* (+ y y) x) (+ y y)))
2.0ms	y	@	inf	((/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) x) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (* y y) 2) (* (+ y y) (+ y x)) (* y y) (+ (* (+ y y) x) (+ y y)))
2.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) x) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (* y y) 2) (* (+ y y) (+ y x)) (* y y) (+ (* (+ y y) x) (+ y y)))
2.0ms	y	@	0	((/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) x) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (* y y) 2) (* (+ y y) (+ y x)) (* y y) (+ (* (+ y y) x) (+ y y)))
1.0ms	x	@	inf	((/ (+ x y) (+ y y)) (/ x (+ y y)) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) x) (/ (+ x y) (+ y y)) (+ (* (+ y y) x) 1/2) (* (* y y) 2) (* (+ y y) (+ y x)) (* y y) (+ (* (+ y y) x) (+ y y)))

simplify123.0ms (3.1%)

Memory

20.2MiB live, 172.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 820×	`lower-fma.f64`
6 820×	`lower-fma.f32`
3 806×	`lower-*.f64`
3 806×	`lower-*.f32`
2 576×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	1268
1	217	1268
2	540	1268
3	1162	1268
4	2125	1268
5	5495	1268
0	8266	1175

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite88.0ms (2.2%)

Memory

-23.7MiB live, 61.1MiB allocated

Rules

624×	`lower-fma.f32`
620×	`lower-fma.f64`
428×	`lower-*.f32`
428×	`lower-/.f32`
426×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	88
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)))
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(/.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 (+.f64 y y) x) x)) (*.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 (+.f64 y y) x) x (*.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 (+.f64 y y) x) x)))
(/.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 (+.f64 y y) x) x (+.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 (+.f64 y y) x) x))))
(/.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 (+.f64 y y) x) x (+.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 (+.f64 y y) x) x (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y) (.f64 (.f64 (+.f64 y y) x) x)) (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)) (+.f64 (+.f64 y y) (-.f64 (.f64 (.f64 (+.f64 y y) x) x) (*.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 (+.f64 y y) x) x)))
(/.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 (+.f64 y y) x) x) (.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))

eval187.0ms (4.7%)

Memory: 30.0MiB live, 176.2MiB allocated
Compiler: Compiled 10 147 to 810 computations (92% saved)

prune204.0ms (5.1%)

Memory

-18.3MiB live, 218.1MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	919	8	927
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	921	14	935

Accuracy

100.0%

Counts

935 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	30.6%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	48.5%	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
▶	3.0%	#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
✓	48.3%	#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))
✓	53.2%	#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)))
	3.5%	#s(approx (* (+ y y) (+ y x)) (/.f64 #s(literal 1/2 binary64) y))
	3.4%	#s(approx (* (+ y y) (+ y x)) (*.f64 (+.f64 y y) y))
▶	3.4%	#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)))
	2.9%	#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal -2 binary64) y))

Compiler

Compiled 172 to 98 computations (43% saved)

simplify11.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB 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

238×	`lower-fma.f32`
236×	`lower-fma.f64`
156×	`lower-*.f32`
148×	`lower-*.f64`
134×	`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 #s(literal 4 binary64) y) x))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x)
(.f64 (.f64 #s(literal 4 binary64) y) x)
(*.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

localize70.0ms (1.8%)

Memory

-8.8MiB live, 67.9MiB 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	61.14711069684145	#s(approx (* (+ y y) (+ y x)) (fma.f64 #s(literal 2 binary64) (+.f64 y y) (+.f64 y y)))
accuracy	0	(*.f64 y y)
accuracy	0.01171875	(.f64 #s(literal 4 binary64) (.f64 y y))
accuracy	36.884168186244956	#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	61.14602073502026	#s(approx (* (+ y y) (+ y x)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))
accuracy	0	(+.f64 y y)
accuracy	62.06790167817642	#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	61.64221105669653	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)) x))

Samples

47.0ms

256×

valid

Compiler

Compiled 93 to 16 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (53.4% of total)

ival-add: 5.0ms (33.4% of total)

ival-div: 2.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.8%)

Memory

1.9MiB live, 36.0MiB 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (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 (* 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 (* 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 (* 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 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 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 (* 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 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 (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 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 (* 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 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 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 (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>) () ())) ())
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#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)) (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 (* 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 (* 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 (* 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 (* 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 -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 (* 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

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	-inf	((* 2 (+ y y)) (/ (+ x y) (+ y y)) (* (* 2 (+ y y)) x) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) (+ y x)) (* (+ y y) (+ y x)) (* 4 (* y y)) (* y y) (+ (* 2 (+ y y)) (+ y y)) (* (+ y y) (+ y x)))
2.0ms	y	@	inf	((* 2 (+ y y)) (/ (+ x y) (+ y y)) (* (* 2 (+ y y)) x) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) (+ y x)) (* (+ y y) (+ y x)) (* 4 (* y y)) (* y y) (+ (* 2 (+ y y)) (+ y y)) (* (+ y y) (+ y x)))
2.0ms	y	@	-inf	((* 2 (+ y y)) (/ (+ x y) (+ y y)) (* (* 2 (+ y y)) x) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) (+ y x)) (* (+ y y) (+ y x)) (* 4 (* y y)) (* y y) (+ (* 2 (+ y y)) (+ y y)) (* (+ y y) (+ y x)))
2.0ms	y	@	0	((* 2 (+ y y)) (/ (+ x y) (+ y y)) (* (* 2 (+ y y)) x) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) (+ y x)) (* (+ y y) (+ y x)) (* 4 (* y y)) (* y y) (+ (* 2 (+ y y)) (+ y y)) (* (+ y y) (+ y x)))
1.0ms	x	@	inf	((* 2 (+ y y)) (/ (+ x y) (+ y y)) (* (* 2 (+ y y)) x) (+ y y) (/ (+ x y) (+ y y)) (* (+ y y) (+ y x)) (* (+ y y) (+ y x)) (* 4 (* y y)) (* y y) (+ (* 2 (+ y y)) (+ y y)) (* (+ y y) (+ y x)))

simplify158.0ms (4%)

Memory

-28.6MiB live, 119.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 008×	`lower-fma.f64`
6 008×	`lower-fma.f32`
3 080×	`lower-*.f64`
3 080×	`lower-*.f32`
1 802×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	1080
1	135	1080
2	301	1080
3	606	1080
4	1194	1080
5	2795	1080
6	5074	1080
7	7609	1080
0	8054	1044

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

rewrite68.0ms (1.7%)

Memory

30.4MiB live, 108.5MiB allocated

Rules

662×	`lower-fma.f32`
660×	`lower-fma.f64`
368×	`lower-*.f32`
360×	`lower-*.f64`
314×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	99
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))
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(/.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))

eval151.0ms (3.8%)

Memory: -11.3MiB live, 288.1MiB allocated
Compiler: Compiled 14 261 to 776 computations (94.6% saved)

prune176.0ms (4.4%)

Memory

-4.8MiB live, 293.0MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	1 295	10	1 305
Fresh	3	0	3
Picked	3	2	5
Done	0	6	6
Total	1 301	18	1 319

Accuracy

100.0%

Counts

1 319 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	30.6%	#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)))
✓	48.5%	#s(approx (/ (+ x y) (+ y y)) (/.f64 x (+.f64 y y)))
	3.5%	#s(approx (/ (+ x y) (+ y y)) (/.f64 #s(literal 1/2 binary64) y))
✓	3.0%	#s(approx (/ (+ x y) (+ y y)) (+.f64 y y))
✓	48.3%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
	3.4%	#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))
	2.9%	#s(approx (/ (+ x y) (+ y y)) (*.f64 #s(literal -2 binary64) y))
✓	53.2%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	3.4%	#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))))
	2.9%	#s(approx (* (+ y y) (+ y x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y)))

Compiler

Compiled 313 to 120 computations (61.7% saved)

regimes41.0ms (1%)

Memory

1.1MiB live, 39.5MiB 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 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 x y) (+.f64 y y))

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

Calls

3 calls:

23.0ms	x
9.0ms	y
8.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes38.0ms (0.9%)

Memory

6.5MiB live, 45.7MiB 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:

22.0ms	y
8.0ms	x
7.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
75.9%	3	`x`
77.0%	3	`y`
98.1%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes42.0ms (1.1%)

Memory

-20.8MiB live, 60.2MiB allocated

Accuracy

Total -33.4b remaining (-111.3%)

Threshold costs -33.4b (-111.3%)

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:

26.0ms	y
7.0ms	x
7.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`y`
53.2%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5000000475208924	811805.7887436409
0.0ms	-5938.435942311438	0.4674048336374133

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify7.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`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 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5000 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 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5000 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 -5000 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))

soundness485.0ms (12.1%)

Memory

9.8MiB live, 247.5MiB allocated

Rules

4 752×	`lower-fma.f64`
4 752×	`lower-fma.f32`
2 808×	`lower-*.f64`
2 808×	`lower-*.f32`
1 714×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	240
1	95	240
2	195	240
3	532	240
4	2458	240
5	4857	240
6	6132	240
7	7089	240
8	7601	240
0	8038	222
0	16	66
0	24	66
1	106	66
0	840	66

Stop Event

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

Compiler

Compiled 74 to 36 computations (51.4% saved)

preprocess36.0ms (0.9%)

Memory: -12.8MiB live, 107.0MiB 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%)

analyze10.0ms (0.3%)

sample810.0ms (20.2%)

explain63.0ms (1.6%)

preprocess89.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.4%)

series18.0ms (0.4%)

simplify109.0ms (2.7%)

rewrite65.0ms (1.6%)

eval10.0ms (0.3%)

prune12.0ms (0.3%)

simplify8.0ms (0.2%)

localize429.0ms (10.7%)

series14.0ms (0.4%)

simplify140.0ms (3.5%)

rewrite57.0ms (1.4%)

eval50.0ms (1.2%)

prune77.0ms (1.9%)

simplify23.0ms (0.6%)

localize69.0ms (1.7%)

series16.0ms (0.4%)

simplify123.0ms (3.1%)

rewrite88.0ms (2.2%)

eval187.0ms (4.7%)

prune204.0ms (5.1%)

simplify11.0ms (0.3%)

localize70.0ms (1.8%)

series33.0ms (0.8%)

simplify158.0ms (4%)

rewrite68.0ms (1.7%)

eval151.0ms (3.8%)

prune176.0ms (4.4%)

regimes41.0ms (1%)

regimes38.0ms (0.9%)

regimes42.0ms (1.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

soundness485.0ms (12.1%)

preprocess36.0ms (0.9%)

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