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

13.6MiB live, 13.6MiB 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)

sample781.0ms (22.4%)

Memory

17.0MiB live, 721.4MiB allocated

Samples

486.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-add: 117.0ms (54.8% of total)

ival-div: 89.0ms (41.7% of total)

ival-true: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain80.0ms (2.3%)

Memory

-16.5MiB live, 72.7MiB 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

20.0ms

512×

valid

Compiler

Compiled 60 to 24 computations (60% saved)

Precisions

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

ival-add: 5.0ms (57.5% of total)

ival-div: 3.0ms (34.5% of total)

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

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

preprocess90.0ms (2.6%)

Memory

-4.2MiB live, 33.5MiB 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))

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

simplify4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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 x y)
x
y
(+.f64 y y)

localize18.0ms (0.5%)

Memory

-6.4MiB live, 32.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 x y)
accuracy	0.015625	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-add: 3.0ms (61.9% of total)

ival-div: 2.0ms (41.3% of total)

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

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

series5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 x y) (+.f64 y y))>
#<alt (+.f64 x y)>
#<alt (+.f64 y y)>

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

Calls

15 calls:

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

simplify189.0ms (5.4%)

Memory

6.0MiB live, 244.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 752×	`lower-fma.f64`
4 752×	`lower-fma.f32`
2 672×	`lower-*.f64`
2 672×	`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	539	240
4	2494	240
5	4900	240
6	6147	240
7	7103	240
8	7625	240
0	8012	222

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 54

Calls

Call 1

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

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

rewrite55.0ms (1.6%)

Memory

-6.1MiB live, 71.6MiB 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
(neg.f64 (*.f64 (+.f64 x y) (+.f64 y y)))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (neg.f64 (+.f64 x y)) (+.f64 y y))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (+.f64 y y) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y y) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (+.f64 y y) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y y) (+.f64 x y))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (+.f64 y y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (+.f64 y y))
(/.f64 (*.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 y y))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (+.f64 y y)) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 y y)) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (+.f64 y y) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (+.f64 y y))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (+.f64 y y)))
(.f64 (/.f64 (+.f64 x y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (+.f64 x y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 x y)
(+.f64 y x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(+.f64 y y)
(+.f64 (neg.f64 y) (neg.f64 y))
(-.f64 #s(literal 0 binary64) (+.f64 y y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(neg.f64 (+.f64 y y))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y)) (fma.f64 y y #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 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 y y))))
(/.f64 #s(literal -1 binary64) (+.f64 y y))
(/.f64 (neg.f64 (*.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 #s(literal 1/2 binary64) y)
(pow.f64 (+.f64 y y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 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 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (+.f64 y y))
(*.f64 #s(literal -2 binary64) y)
(.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 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))

eval16.0ms (0.5%)

Memory: -10.6MiB live, 31.2MiB allocated
Compiler: Compiled 1 183 to 160 computations (86.5% saved)

prune10.0ms (0.3%)

Memory

-11.1MiB live, 28.4MiB 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
▶	4.2%	(*.f64 (+.f64 y y) (+.f64 x y))
▶	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
▶	48.0%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
▶	53.3%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify9.0ms (0.3%)

Memory

27.2MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(+.f64 y y)
cost-diff	0	(*.f64 (+.f64 y y) (+.f64 x y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
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	23	75
1	37	75
2	65	75
3	110	75
4	146	75
5	179	75
0	179	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) x) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
(*.f64 (+.f64 y y) (+.f64 x y))
(+.f64 y y)
y
(+.f64 x y)
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) x) y))
#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
y
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
(*.f64 (+.f64 y y) (+.f64 x y))
(+.f64 y y)
y
(+.f64 x y)
x

localize45.0ms (1.3%)

Memory

-37.9MiB live, 91.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(*.f64 (+.f64 y y) (+.f64 x y))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
accuracy	0	(/.f64 x y)
accuracy	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	33.268506444087095	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
accuracy	29.916078952959886	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Samples

25.0ms

256×

valid

Compiler

Compiled 63 to 14 computations (77.8% saved)

Precisions

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

ival-div: 5.0ms (36.7% of total)

ival-add: 4.0ms (29.4% of total)

ival-mult: 4.0ms (29.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

10 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

simplify181.0ms (5.2%)

Memory

-1.2MiB live, 354.0MiB allocated

Algorithm

1×	egg-herbie

Rules

5 472×	`lower-fma.f64`
5 472×	`lower-fma.f32`
3 286×	`lower-*.f64`
3 286×	`lower-*.f32`
1 318×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1056
1	176	1056
2	393	1056
3	1169	1056
4	2718	1056
5	5963	1056
0	8114	984

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 210

Calls

Call 1

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

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

rewrite58.0ms (1.7%)

Memory

17.0MiB live, 95.3MiB allocated

Rules

388×	`lower-*.f32`
384×	`lower-*.f64`
360×	`lower-/.f32`
356×	`lower-/.f64`
316×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
0	23	66
1	90	66
0	712	66

Stop Event

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

Counts

10 → 194

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

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

eval44.0ms (1.3%)

Memory: 0.7MiB live, 118.3MiB allocated
Compiler: Compiled 3 928 to 403 computations (89.7% saved)

prune42.0ms (1.2%)

Memory

-7.8MiB live, 115.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	399	5	404
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	399	9	408

Accuracy

100.0%

Counts

408 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.6%	(fma.f64 (+.f64 y y) x (+.f64 y y))
▶	3.6%	(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
✓	4.2%	(*.f64 (+.f64 y y) (+.f64 x y))
▶	25.4%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	48.0%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
▶	3.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
✓	53.3%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	3.4%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))

Compiler

Compiled 120 to 66 computations (45% saved)

simplify31.0ms (0.9%)

Memory

-1.3MiB live, 38.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y y)
cost-diff	0	(*.f64 x (+.f64 y y))
cost-diff	192	(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
cost-diff	0	(+.f64 y y)
cost-diff	64	(fma.f64 (+.f64 y y) x (+.f64 y y))
cost-diff	0	(.f64 y (.f64 y #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))
cost-diff	128	(*.f64 y #s(literal 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	(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)))

Rules

594×	`lower-fma.f32`
588×	`lower-fma.f64`
302×	`lower-*.f32`
294×	`lower-*.f64`
192×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	30	104
1	55	103
2	127	102
3	215	102
4	293	102
5	324	102
6	418	102
7	418	102
8	439	102
9	495	102
10	600	102
11	672	102
12	721	102
13	721	102
0	721	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (1.4%)

Memory

7.9MiB live, 126.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -2 binary64) y (*.f64 x (+.f64 y y)))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 x (+.f64 y y))
accuracy	0	(fma.f64 (+.f64 y y) x (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	(.f64 y (.f64 y #s(literal 2 binary64)))
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	24.450397772542654	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal 2 binary64))))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 (+.f64 y y) x)
accuracy	61.5544117349471	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
accuracy	0	(fma.f64 (+.f64 y y) x #s(literal 1/2 binary64))
accuracy	0	(+.f64 y y)
accuracy	47.77499102442451	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))

Samples

30.0ms

256×

valid

Compiler

Compiled 90 to 19 computations (78.9% saved)

Precisions

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

ival-mult: 8.0ms (45.7% of total)

ival-add: 5.0ms (28.6% of total)

ival-div: 3.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

-19.0MiB live, 20.1MiB allocated

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify173.0ms (5%)

Memory

4.3MiB live, 358.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 586×	`lower-fma.f64`
4 586×	`lower-fma.f32`
2 968×	`lower-*.f64`
2 968×	`lower-*.f32`
1 594×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1284
1	252	1284
2	652	1284
3	1361	1284
4	3001	1284
5	6798	1284
0	8069	1188

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

rewrite98.0ms (2.8%)

Memory

-1.1MiB live, 205.2MiB allocated

Rules

1 340×	`lower-fma.f32`
1 334×	`lower-fma.f64`
406×	`lower-*.f32`
398×	`lower-*.f64`
344×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	83
0	30	79
1	121	77
0	1101	77

Stop Event

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

Counts

11 → 780

Calls

Call 1

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

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

eval198.0ms (5.7%)

Memory: 11.9MiB live, 351.4MiB allocated
Compiler: Compiled 16 487 to 1 198 computations (92.7% saved)

prune194.0ms (5.6%)

Memory

-2.7MiB live, 363.7MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 394	18	1 412
Fresh	0	0	0
Picked	3	2	5
Done	1	3	4
Total	1 398	23	1 421

Accuracy

100.0%

Counts

1 421 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.6%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y))
✓	25.4%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	48.0%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	3.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
	3.8%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) x))
✓	53.3%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
▶	3.6%	#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
	2.9%	#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y #s(literal -2 binary64)))
	2.9%	#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
	3.4%	#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal 1/2 binary64) y))
	3.6%	#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal -1 binary64) (+.f64 y y)))
▶	2.9%	#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
▶	3.4%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
	2.9%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
	2.9%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal -2 binary64)))
	2.5%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))
	2.4%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -8 binary64)))
	3.4%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
▶	53.2%	#s(approx (* (+ y y) (+ x y)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
▶	2.5%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
	1.7%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) #s(literal -2 binary64))))
	1.7%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal -2 binary64))))

Compiler

Compiled 344 to 204 computations (40.7% saved)

simplify11.0ms (0.3%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y y)
cost-diff	0	(*.f64 (+.f64 y y) y)
cost-diff	0	(.f64 y (.f64 (+.f64 y y) y))
cost-diff	0	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
cost-diff	0	(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff	0	(*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
cost-diff	0	#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
cost-diff	0	(+.f64 y y)
cost-diff	0	(*.f64 (+.f64 y y) y)
cost-diff	0	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (* (+ y y) (+ x y)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
cost-diff	1024	(*.f64 y (/.f64 #s(literal 1/2 binary64) y))

Rules

146×	`lower-fma.f32`
144×	`lower-fma.f64`
102×	`lower-+.f32`
100×	`lower-+.f64`
94×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	32	128
1	59	122
2	100	122
3	148	106
4	191	106
5	214	106
0	214	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (1.7%)

Memory

-25.7MiB live, 131.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 (+.f64 y y) y)
accuracy	0.1015625	(.f64 y (.f64 (+.f64 y y) y))
accuracy	46.20326860625839	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
accuracy	0	(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
accuracy	0	#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
accuracy	0.00390625	(*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 (+.f64 y y) y)
accuracy	24.450397772542654	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
accuracy	0	(+.f64 y y)
accuracy	61.1915729234142	#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
accuracy	0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.14453125	(*.f64 y (/.f64 #s(literal 1/2 binary64) y))
accuracy	61.48655900306401	#s(approx (* (+ y y) (+ x y)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))

Samples

36.0ms

256×

valid

Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions

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

ival-mult: 11.0ms (50.5% of total)

ival-add: 8.0ms (36.7% of total)

ival-div: 2.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

12 → 216

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt 1/2>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* 2 (pow y 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* -1 (* y (+ 2 (* -2 x))))>
#<alt (* -1 (* y (+ 2 (* -2 x))))>
#<alt (* -1 (* y (+ 2 (* -2 x))))>
#<alt (* -1 (* y (+ 2 (* -2 x))))>
#<alt (* -2 y)>
#<alt (+ (* -2 y) (* 2 (* x y)))>
#<alt (+ (* -2 y) (* 2 (* x y)))>
#<alt (+ (* -2 y) (* 2 (* x y)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* -2 (/ y x)) (* 2 y)))>
#<alt (* x (+ (* -2 (/ y x)) (* 2 y)))>
#<alt (* x (+ (* -2 (/ y x)) (* 2 y)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* y (- (* 2 x) 2))>
#<alt (* -2 y)>
#<alt (+ (* -2 y) (* 2 (* x y)))>
#<alt (+ (* -2 y) (* 2 (* x y)))>
#<alt (+ (* -2 y) (* 2 (* x y)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* -2 (/ y x)) (* 2 y)))>
#<alt (* x (+ (* -2 (/ y x)) (* 2 y)))>
#<alt (* x (+ (* -2 (/ y x)) (* 2 y)))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (- (* 2 x) 2)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* x (- 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 2 (/ 1 x)) 2)))>
#<alt (* 2 (* x y))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* y (+ (* 2 x) (* 2 y)))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* (pow y 2) (+ 2 (* 2 (/ x y))))>
#<alt (* 2 (pow y 2))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (+ (* 2 (* x y)) (* 2 (pow y 2)))>
#<alt (* 2 (* x y))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))>
#<alt (* 2 (* x y))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>
#<alt (* 2 (pow y 3))>

Calls

54 calls:

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

simplify219.0ms (6.3%)

Memory

-14.8MiB live, 478.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 344×	`lower-fma.f64`
5 344×	`lower-fma.f32`
3 196×	`lower-*.f64`
3 196×	`lower-*.f32`
2 004×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	1200
1	166	1200
2	427	1200
3	846	1200
4	2010	1200
5	4861	1200
6	7503	1200
0	8255	1149

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* -1 (* y (+ 2 (* -2 x))))
(* -1 (* y (+ 2 (* -2 x))))
(* -1 (* y (+ 2 (* -2 x))))
(* -1 (* y (+ 2 (* -2 x))))
(* -2 y)
(+ (* -2 y) (* 2 (* x y)))
(+ (* -2 y) (* 2 (* x y)))
(+ (* -2 y) (* 2 (* x y)))
(* 2 (* x y))
(* x (+ (* -2 (/ y x)) (* 2 y)))
(* x (+ (* -2 (/ y x)) (* 2 y)))
(* x (+ (* -2 (/ y x)) (* 2 y)))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))
(* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))
(* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* y (- (* 2 x) 2))
(* -2 y)
(+ (* -2 y) (* 2 (* x y)))
(+ (* -2 y) (* 2 (* x y)))
(+ (* -2 y) (* 2 (* x y)))
(* 2 (* x y))
(* x (+ (* -2 (/ y x)) (* 2 y)))
(* x (+ (* -2 (/ y x)) (* 2 y)))
(* x (+ (* -2 (/ y x)) (* 2 y)))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))
(* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))
(* -1 (* x (+ (* -2 y) (* 2 (/ y x)))))
-2
(- (* 2 x) 2)
(- (* 2 x) 2)
(- (* 2 x) 2)
(* 2 x)
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* x (- 2 (* 2 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(* 2 (* x y))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* y (+ (* 2 x) (* 2 y)))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* (pow y 2) (+ 2 (* 2 (/ x y))))
(* 2 (pow y 2))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(+ (* 2 (* x y)) (* 2 (pow y 2)))
(* 2 (* x y))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* x (+ (* 2 y) (* 2 (/ (pow y 2) x))))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -2 (/ (pow y 2) x)))))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))
(* 2 (pow y 3))

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

rewrite93.0ms (2.7%)

Memory

-18.3MiB live, 100.5MiB allocated

Rules

442×	`lower-fma.f32`
440×	`lower-fma.f64`
424×	`lower-*.f32`
418×	`lower-*.f64`
278×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	32	106
1	112	82
0	783	82

Stop Event

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

Counts

12 → 272

Calls

Call 1

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

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

eval79.0ms (2.3%)

Memory: 11.8MiB live, 160.9MiB allocated
Compiler: Compiled 5 898 to 342 computations (94.2% saved)

prune43.0ms (1.2%)

Memory

27.6MiB live, 105.5MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	655	1	656
Fresh	1	12	13
Picked	0	5	5
Done	0	5	5
Total	656	23	679

Accuracy

100.0%

Counts

679 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.6%	(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y y))
✓	25.4%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (+.f64 y y) x #s(literal 1/2 binary64)))
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	48.0%	#s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
✓	3.8%	#s(approx (/ (+ x y) (+ y y)) (*.f64 (+.f64 y y) x))
	3.8%	#s(approx (/ (+ x y) (+ y y)) (.f64 (.f64 (+.f64 y y) #s(literal 2 binary64)) x))
✓	53.3%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
✓	3.6%	#s(approx (+ (* -2 y) (* x (+ y y))) (*.f64 y (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))))
	2.9%	#s(approx (+ (* -2 y) (* x (+ y y))) (.f64 y #s(approx (+ ( x 2) -2) #s(literal -2 binary64))))
	2.9%	#s(approx (* (+ y y) (+ x y)) (fma.f64 (+.f64 y y) #s(literal 2 binary64) (+.f64 y y)))
	3.4%	#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal 1/2 binary64) y))
	3.6%	#s(approx (* (+ y y) (+ x y)) (/.f64 #s(literal -1 binary64) (+.f64 y y)))
✓	2.9%	#s(approx (* (+ y y) (+ x y)) (+.f64 y y))
✓	3.4%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) y))
	2.9%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))
	2.9%	#s(approx (* (+ y y) (+ x y)) (*.f64 (+.f64 y y) #s(literal -2 binary64)))
	2.5%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))
	2.4%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -8 binary64)))
	3.4%	#s(approx (* (+ y y) (+ x y)) (.f64 (.f64 y y) #s(literal 4 binary64)))
✓	53.2%	#s(approx (* (+ y y) (+ x y)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
✓	2.5%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) y)))
	1.7%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 (+.f64 y y) #s(literal -2 binary64))))
	1.7%	#s(approx (* (+ y y) (+ x y)) (.f64 y (.f64 y #s(literal -2 binary64))))

Compiler

Compiled 380 to 159 computations (58.2% saved)

regimes29.0ms (0.8%)

Memory

-12.5MiB live, 40.2MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
8.0ms	y
8.0ms	x

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)

regimes34.0ms (1%)

Memory

-33.4MiB live, 44.6MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

16.0ms	(/.f64 (+.f64 x y) (+.f64 y y))
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
75.3%	3	`x`
78.2%	3	`y`
97.8%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes24.0ms (0.7%)

Memory

13.9MiB live, 52.3MiB allocated

Accuracy

Total -33.6b remaining (-112.4%)

Threshold costs -33.6b (-112.4%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
7.0ms	y
6.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
53.3%	1	`x`
53.3%	1	`y`
53.3%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.5049952182372964	12.899109881062648
0.0ms	-744188596077.6073	0.39323066788905087

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify6.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	27	78

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -500000000000 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (*.f64 #s(literal 1/2 binary64) x) y))))

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

Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -500000000000 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 #s(literal 1/2 binary64) x) 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 (.f64 #s(literal 1/2 binary64) x) y))))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -500000000000 binary64)) #s(approx (/ (+ x y) (+ y y)) (/.f64 (.f64 x #s(literal 1/2 binary64)) 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 (.f64 x #s(literal 1/2 binary64)) y))))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

soundness444.0ms (12.8%)

Memory

-19.6MiB live, 175.3MiB allocated

Rules

4 752×	`lower-fma.f64`
4 752×	`lower-fma.f32`
2 672×	`lower-*.f64`
2 672×	`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	539	240
4	2494	240
5	4900	240
6	6147	240
7	7103	240
8	7625	240
0	8012	222

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 66 to 32 computations (51.5% saved)

preprocess32.0ms (0.9%)

Memory: 35.4MiB live, 73.2MiB allocated
Compiler: Compiled 126 to 54 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	20	104
0	30	104
1	55	103
2	127	102
3	215	102
4	293	102
5	324	102
6	418	102
7	418	102
8	439	102
9	495	102
10	600	102
11	672	102
12	721	102
13	721	102
0	721	98

Iter	Nodes	Cost
0	20	104
0	30	104
1	55	103
2	127	102
3	215	102
4	293	102
5	324	102
6	418	102
7	418	102
8	439	102
9	495	102
10	600	102
11	672	102
12	721	102
13	721	102
0	721	98

start0.0ms (0%)

analyze10.0ms (0.3%)

sample781.0ms (22.4%)

explain80.0ms (2.3%)

preprocess90.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize18.0ms (0.5%)

series5.0ms (0.1%)

simplify189.0ms (5.4%)

rewrite55.0ms (1.6%)

eval16.0ms (0.5%)

prune10.0ms (0.3%)

simplify9.0ms (0.3%)

localize45.0ms (1.3%)

series10.0ms (0.3%)

simplify181.0ms (5.2%)

rewrite58.0ms (1.7%)

eval44.0ms (1.3%)

prune42.0ms (1.2%)

simplify31.0ms (0.9%)

localize50.0ms (1.4%)

series8.0ms (0.2%)

simplify173.0ms (5%)

rewrite98.0ms (2.8%)

eval198.0ms (5.7%)

prune194.0ms (5.6%)

simplify11.0ms (0.3%)

localize59.0ms (1.7%)

series9.0ms (0.2%)

simplify219.0ms (6.3%)

rewrite93.0ms (2.7%)

eval79.0ms (2.3%)

prune43.0ms (1.2%)

regimes29.0ms (0.8%)

regimes34.0ms (1%)

regimes24.0ms (0.7%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness444.0ms (12.8%)

preprocess32.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	104
0	30	104
1	55	103
2	127	102
3	215	102
4	293	102
5	324	102
6	418	102
7	418	102
8	439	102
9	495	102
10	600	102
11	672	102
12	721	102
13	721	102
0	721	98