Metrics for Examples.Basics.ProofTests:f4 from sbv-4.4

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample820.0ms (25.1%)

Memory

57.7MiB live, 1 066.4MiB allocated

Samples

579.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-mult: 284.0ms (70.1% of total)

ival-add: 106.0ms (26.2% of total)

ival-true: 6.0ms (1.5% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain249.0ms (7.6%)

Memory

-45.8MiB live, 186.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
11	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	12	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	80
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	43
↳	`(*.f64 y y)`	overflow	72
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	11	0
↳	`(*.f64 x x)`	overflow	69
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	43

Confusion

	Predicted +	Predicted -
+	18	0
-	0	238

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	0
-	0	0	238

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	238
1	13
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 97 to 31 computations (68% saved)

Precisions

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

ival-mult: 17.0ms (76.4% of total)

ival-add: 4.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

preprocess39.0ms (1.2%)

Memory

6.7MiB live, 43.0MiB allocated

Algorithm

1×	egg-herbie

Rules

116×	`sub-neg`
115×	`unsub-neg`
95×	`distribute-lft-neg-in`
68×	`cancel-sign-sub-inv`
66×	`cancel-sign-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	77	57
2	250	55
3	638	55
4	1214	55
5	1509	55
6	1539	55
0	9	13
0	15	13
1	23	11
2	43	11
3	51	11
0	51	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
cost-diff	448	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Rules

32×	`lower-fma.f64`
32×	`lower-fma.f32`
18×	`lower-*.f32`
16×	`lower-+.f32`
14×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	15	39
1	23	35
2	43	35
3	51	35
0	51	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (1.6%)

Memory

14.5MiB live, 50.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	2.1992187500000004	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
accuracy	2.652333429151029	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Samples

45.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 35.0ms (93.7% of total)

ival-add: 2.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.4%)

Memory

-19.4MiB live, 19.1MiB allocated

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(+ (* x x) (* (* x 2) y))
1.0ms	y	@	0	(* (* x 2) y)
1.0ms	x	@	0	(+ (* x x) (* (* x 2) y))
1.0ms	x	@	inf	(+ (* x x) (* (* x 2) y))
0.0ms	y	@	inf	(+ (* x x) (* (* x 2) y))

simplify160.0ms (4.9%)

Memory

-1.8MiB live, 153.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 830×	`lower-fma.f64`
3 830×	`lower-fma.f32`
1 524×	`lower-*.f64`
1 524×	`lower-*.f32`
654×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	534
1	166	534
2	468	534
3	1334	534
4	3280	534
5	6441	534
0	8173	486

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

rewrite236.0ms (7.2%)

Memory

21.1MiB live, 303.6MiB allocated

Rules

3 784×	`lower-fma.f64`
3 784×	`lower-fma.f32`
2 532×	`lower-*.f32`
2 528×	`lower-*.f64`
1 268×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	50	29
2	420	29
3	6357	29
0	8219	26

Stop Event

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

Counts

5 → 210

Calls

Call 1

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

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

eval66.0ms (2%)

Memory: -12.6MiB live, 71.7MiB allocated
Compiler: Compiled 10 505 to 638 computations (93.9% saved)

prune58.0ms (1.8%)

Memory

13.6MiB live, 88.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	301	5	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	5	307

Accuracy

100.0%

Counts

307 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
▶	57.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
▶	62.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
▶	60.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	57.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 82 to 44 computations (46.3% saved)

simplify8.0ms (0.2%)

Memory

-25.5MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

32×	`lower-fma.f32`
29×	`lower-fma.f64`
18×	`lower-*.f32`
16×	`lower-+.f64`
16×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	127
0	28	127
1	42	111
2	57	111
3	60	111
0	60	111

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (1.7%)

Memory

27.9MiB live, 102.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0.0078125	(*.f64 (fma.f64 y #s(literal 2 binary64) x) x)
accuracy	27.49691956746177	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
accuracy	0	(fma.f64 x #s(literal 2 binary64) y)
accuracy	0	(*.f64 (fma.f64 x #s(literal 2 binary64) y) y)
accuracy	24.197644482815925	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
accuracy	0	(*.f64 y y)
accuracy	25.25432232991758	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	27.116850012007816	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
accuracy	0	(fma.f64 y #s(literal 2 binary64) x)
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))

Samples

28.0ms

256×

valid

Compiler

Compiled 114 to 17 computations (85.1% saved)

Precisions

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

ival-mult: 11.0ms (65.9% of total)

ival-add: 5.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (1.4%)

Memory

-5.8MiB live, 28.7MiB allocated

Counts

11 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

simplify160.0ms (4.9%)

Memory

18.0MiB live, 211.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 219×	`lower-fma.f64`
4 219×	`lower-fma.f32`
1 420×	`lower-*.f64`
1 420×	`lower-*.f32`
844×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1734
1	269	1668
2	745	1668
3	2229	1536
4	4580	1536
5	7545	1536
0	8016	1314

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

Calls

Call 1

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

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

rewrite368.0ms (11.3%)

Memory

15.2MiB live, 452.1MiB allocated

Rules

7 661×	`lower-fma.f32`
7 658×	`lower-fma.f64`
3 215×	`lower-*.f32`
3 211×	`lower-*.f64`
1 879×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	109
0	28	109
1	100	93
2	839	93
0	8346	93

Stop Event

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

Counts

11 → 507

Calls

Call 1

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

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

eval171.0ms (5.3%)

Memory: -31.1MiB live, 257.6MiB allocated
Compiler: Compiled 22 516 to 1 370 computations (93.9% saved)

prune101.0ms (3.1%)

Memory

-4.1MiB live, 231.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	851	0	851
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	851	5	856

Accuracy

100.0%

Counts

856 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
✓	57.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 y #s(literal 2 binary64) x) x))
✓	62.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 x #s(literal 2 binary64) y) y))
✓	60.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	57.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 87 to 36 computations (58.6% saved)

regimes8.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes10.0ms (0.3%)

Memory

-27.3MiB live, 14.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
88.0%	2	`x`
94.3%	2	`y`
68.4%	3	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
94.3%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.6%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
57.6%	1	`x`
57.6%	1	`y`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch13.0ms (0.4%)

Memory

-12.6MiB live, 24.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.3137846337468831e-34	1.6732536452991339e-32

Samples

6.0ms

112×

valid

Compiler

Compiled 137 to 84 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (78.9% of total)

ival-add: 1.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.3137846337468831e-34	1.6732536452991339e-32

Compiler

Compiled 116 to 70 computations (39.7% saved)

simplify6.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	105
1	22	105

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 y #s(literal 319703483166135/91343852333181432387730302044767688728495783936 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 319703483166135/91343852333181432387730302044767688728495783936 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 (fma.f64 y #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 y #s(literal 319703483166135/91343852333181432387730302044767688728495783936 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 (fma.f64 y #s(literal 2 binary64) x) x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 319703483166135/91343852333181432387730302044767688728495783936 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 x x)) #s(approx (+ (+ ( x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

soundness519.0ms (15.9%)

Memory

-26.8MiB live, 276.1MiB allocated

Rules

3 830×	`lower-fma.f64`
3 830×	`lower-fma.f32`
3 784×	`lower-fma.f64`
3 784×	`lower-fma.f32`
2 532×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	534
1	166	534
2	468	534
3	1334	534
4	3280	534
5	6441	534
0	8173	486
0	9	33
0	15	33
1	50	29
2	420	29
3	6357	29
0	8219	26

Stop Event

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

Compiler

Compiled 94 to 40 computations (57.4% saved)

preprocess91.0ms (2.8%)

Memory: 7.1MiB live, 84.4MiB allocated
Compiler: Compiled 166 to 72 computations (56.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample820.0ms (25.1%)

explain249.0ms (7.6%)

preprocess39.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize54.0ms (1.6%)

series13.0ms (0.4%)

simplify160.0ms (4.9%)

rewrite236.0ms (7.2%)

eval66.0ms (2%)

prune58.0ms (1.8%)

simplify8.0ms (0.2%)

localize54.0ms (1.7%)

series47.0ms (1.4%)

simplify160.0ms (4.9%)

rewrite368.0ms (11.3%)

eval171.0ms (5.3%)

prune101.0ms (3.1%)

regimes8.0ms (0.2%)

regimes10.0ms (0.3%)

regimes2.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.4%)

bsearch1.0ms (0%)

simplify6.0ms (0.2%)

soundness519.0ms (15.9%)

preprocess91.0ms (2.8%)

end0.0ms (0%)

Profiling