Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 13 to 10 computations (23.1% saved)

sample831.0ms (20.3%)

Memory

44.1MiB live, 1 009.9MiB allocated

Samples

585.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

ival-mult: 278.0ms (69.8% of total)

ival-add: 106.0ms (26.6% of total)

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

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain116.0ms (2.8%)

Memory

-32.5MiB live, 182.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
-	-	`(*.f64 y y)`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

42.0ms

512×

valid

Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions

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

ival-mult: 10.0ms (65.8% of total)

ival-add: 4.0ms (26.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess34.0ms (0.8%)

Memory

9.4MiB live, 48.0MiB allocated

Algorithm

1×	egg-herbie

Rules

266×	`sub-neg`
198×	`unsub-neg`
146×	`cancel-sign-sub-inv`
142×	`associate-+l-`
136×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	68	49
2	215	46
3	578	45
4	1132	45
5	1396	45
6	1445	45
0	8	11
0	13	9
1	20	9
2	30	9
3	32	9
0	32	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	128	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
cost-diff	320	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Rules

28×	`lower-fma.f64`
28×	`lower-fma.f32`
28×	`lower-+.f32`
24×	`lower-+.f64`
12×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	26
1	20	26
2	30	26
3	32	26
0	32	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1.7%)

Memory

12.2MiB live, 49.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

65.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (68.7% of total)

ival-add: 2.0ms (27.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

-23.0MiB live, 15.6MiB allocated

Counts

5 → 72

Calls

Call 1

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

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

Calls

6 calls:

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

simplify131.0ms (3.2%)

Memory

25.8MiB live, 181.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 938×	`lower-fma.f64`
9 938×	`lower-fma.f32`
3 308×	`lower-*.f64`
3 308×	`lower-*.f32`
1 722×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	334
1	101	334
2	272	334
3	912	334
4	2770	334
5	4863	334
6	7655	334
0	8388	318

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite249.0ms (6.1%)

Memory

-29.1MiB live, 217.5MiB allocated

Rules

6 744×	`lower-fma.f64`
6 744×	`lower-fma.f32`
4 716×	`lower-*.f32`
4 710×	`lower-*.f64`
2 642×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	23
1	47	23
2	406	23
3	6148	23
0	8102	22

Stop Event

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

Counts

5 → 219

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (.f64 (*.f64 x x) x) (+.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 x (-.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x x) x) (-.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (*.f64 x x) x #s(literal 8 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 8 binary64)) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 x (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)))) (fma.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x))))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))) (neg.f64 (.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
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(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 9 binary64))) (.f64 (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (-.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (+.f64 #s(literal 2 binary64) x)) x)) (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) y)) y (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (+.f64 #s(literal 2 binary64) x)) x))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))
(/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) y)) y (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (+.f64 #s(literal 2 binary64) x)) x)) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(neg.f64 (/.f64 (.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) y)) y (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (+.f64 #s(literal 2 binary64) x)) x))) (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(neg.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y))) (neg.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) y)) y (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (+.f64 #s(literal 2 binary64) x)) x)) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 2 binary64) x))) (*.f64 y y))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))) (.f64 y y))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 x (-.f64 x #s(literal 2 binary64)))) (.f64 (.f64 (.f64 x x) x) (-.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))))) (*.f64 y y))
(fma.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (+.f64 #s(literal 2 binary64) x)) x (.f64 (neg.f64 (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 y y) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (.f64 x x)) (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))) (*.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(fma.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x x))))) (.f64 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))) (*.f64 y y))
(fma.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 y y))
(fma.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 y y))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 y y))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 y y))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (*.f64 y y))
(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x)))
(fma.f64 x (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(-.f64 (fma.f64 y y (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (-.f64 (.f64 y y) (.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (-.f64 (.f64 y y) (.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y))) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 y y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 y y) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(+.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval61.0ms (1.5%)

Memory: 20.0MiB live, 56.1MiB allocated
Compiler: Compiled 8 903 to 676 computations (92.4% saved)

prune62.0ms (1.5%)

Memory

-4.7MiB live, 77.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	285	6	291
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	6	292

Accuracy

100.0%

Counts

292 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
	83.9%	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
▶	61.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
▶	62.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	46.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	46.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 100 to 54 computations (46% saved)

simplify5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

28×	`lower-+.f64`
28×	`lower-fma.f32`
28×	`lower-+.f32`
22×	`lower-fma.f64`
14×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	116
0	29	108
1	45	108
2	49	108
0	49	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (1%)

Memory

4.8MiB live, 77.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
accuracy	24.54292647924658	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
accuracy	0	(-.f64 x #s(literal -2 binary64))
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy	24.07130873677366	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy	0	(*.f64 y y)
accuracy	34.27571489959532	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	34.00088511311027	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
accuracy	0	(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
accuracy	0	(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
accuracy	0	(*.f64 #s(literal 2 binary64) x)

Samples

31.0ms

256×

valid

Compiler

Compiled 101 to 17 computations (83.2% saved)

Precisions

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

ival-mult: 8.0ms (52.7% of total)

ival-add: 5.0ms (33% of total)

ival-sub: 1.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-12.6MiB live, 25.5MiB allocated

Counts

12 → 228

Calls

Call 1

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

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

Calls

6 calls:

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

simplify133.0ms (3.2%)

Memory

21.1MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
3 084×	`lower-*.f64`
3 084×	`lower-*.f32`
2 114×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	1340
1	132	1340
2	353	1340
3	1258	1340
4	3430	1340
5	7441	1340
0	8354	1224

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

Calls

Call 1

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

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

rewrite286.0ms (7%)

Memory

-29.9MiB live, 306.1MiB allocated

Rules

7 736×	`lower-fma.f32`
7 730×	`lower-fma.f64`
4 100×	`lower-*.f32`
4 092×	`lower-*.f64`
3 954×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	29	95
1	118	95
2	951	95
0	8248	90

Stop Event

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

Counts

12 → 330

Calls

Call 1

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

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

eval92.0ms (2.2%)

Memory: -4.9MiB live, 187.1MiB allocated
Compiler: Compiled 11 499 to 774 computations (93.3% saved)

prune100.0ms (2.4%)

Memory

5.1MiB live, 121.6MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	571	3	574
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	573	7	580

Accuracy

100.0%

Counts

580 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 y y)))
▶	62.4%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64))))
✓	61.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
✓	62.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	17.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	46.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 54 to 29 computations (46.3% saved)

simplify5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

36×	`lower-+.f64`
36×	`lower-+.f32`
32×	`lower-fma.f32`
28×	`lower-fma.f64`
16×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	26	91
1	40	91
2	47	91
0	47	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (1.5%)

Memory

-7.6MiB live, 93.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 y y)))
accuracy	0	(*.f64 y y)
accuracy	32.10492926775204	#s(approx (+ (* y y) (* 2 x)) (*.f64 y y))
accuracy	0	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64))))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	30.442947279686635	#s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64)))
accuracy	0.01171875	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy	24.07130873677366	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy	33.961614470513425	#s(approx (- x -2) #s(literal 2 binary64))

Samples

54.0ms

256×

valid

Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 27.0ms (62.2% of total)

ival-add: 14.0ms (32.2% of total)

ival-sub: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.7%)

Memory

-21.9MiB live, 16.8MiB allocated

Counts

9 → 168

Calls

Call 1

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

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

Calls

6 calls:

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

simplify132.0ms (3.2%)

Memory

34.5MiB live, 190.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
3 084×	`lower-*.f64`
3 084×	`lower-*.f32`
2 114×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	960
1	132	960
2	353	960
3	1258	960
4	3427	960
5	7448	960
0	8366	876

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

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

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

rewrite337.0ms (8.2%)

Memory

-23.0MiB live, 217.6MiB allocated

Rules

5 342×	`lower-fma.f32`
5 338×	`lower-fma.f64`
4 918×	`lower-*.f32`
4 912×	`lower-*.f64`
4 224×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	87
0	26	85
1	115	85
2	837	85
0	8298	80

Stop Event

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

Counts

9 → 98

Calls

Call 1

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

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

eval26.0ms (0.6%)

Memory: 33.3MiB live, 68.7MiB allocated
Compiler: Compiled 5 110 to 280 computations (94.5% saved)

prune64.0ms (1.6%)

Memory

-29.4MiB live, 45.5MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	264	7	271

Accuracy

100.0%

Counts

271 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.9%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 y y)))
✓	62.4%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64))))
✓	61.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
✓	62.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	17.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	46.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 124 to 47 computations (62.1% saved)

regimes31.0ms (0.8%)

Memory

-7.1MiB live, 45.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes16.0ms (0.4%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.7%	3	`x`
97.2%	2	`y`
98.7%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
98.7%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
97.2%	2	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes33.0ms (0.8%)

Memory

-14.8MiB live, 22.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	y
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	x
2.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
93.4%	3	`x`
87.2%	2	`y`
87.2%	2	`(*.f64 y y)`
70.5%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
92.6%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
92.6%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.1%	2	`y`
87.1%	2	`(*.f64 y y)`
78.3%	3	`x`
77.8%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes20.0ms (0.5%)

Memory

-18.4MiB live, 20.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

14.0ms	y
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
78.0%	3	`x`
76.7%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
71.6%	2	`y`
71.6%	2	`(*.f64 y y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
46.9%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
46.9%	1	`y`
46.9%	1	`(*.f64 y y)`
46.9%	1	`x`
46.9%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0033335999839587695	270.2489161690043

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.1967728499386024e-8	0.0033335999839587695

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.1967728499386024e-8	0.0033335999839587695

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch14.0ms (0.4%)

Memory

-7.2MiB live, 30.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.83166734850442e+39	5.639213386618228e+44

Samples

8.0ms

144×

valid

Compiler

Compiled 142 to 94 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59.9% of total)

ival-add: 1.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1084049941421173e+51	5.198834081153152e+58

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify11.0ms (0.3%)

Memory

-29.7MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	231
1	47	231
2	52	231
3	54	231
4	55	231

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (.f64 y y) #s(literal 5099999999999999828520903201821992943616 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 (.f64 y y) #s(literal 5099999999999999828520903201821992943616 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

soundness961.0ms (23.5%)

Memory

21.6MiB live, 492.7MiB allocated

Rules

9 938×	`lower-fma.f64`
9 938×	`lower-fma.f32`
7 768×	`lower-fma.f64`
7 768×	`lower-fma.f32`
6 744×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	23
1	47	23
2	406	23
3	6148	23
0	8102	22
0	36	334
1	101	334
2	272	334
3	912	334
4	2770	334
5	4863	334
6	7655	334
0	8388	318
0	43	1340
1	132	1340
2	353	1340
3	1258	1340
4	3430	1340
5	7441	1340
0	8354	1224

Stop Event

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

Compiler

Compiled 287 to 113 computations (60.6% saved)

preprocess96.0ms (2.3%)

Memory: -1.2MiB live, 152.7MiB allocated
Remove: (abs y)
Compiler: Compiled 314 to 100 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample831.0ms (20.3%)

explain116.0ms (2.8%)

preprocess34.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize70.0ms (1.7%)

series7.0ms (0.2%)

simplify131.0ms (3.2%)

rewrite249.0ms (6.1%)

eval61.0ms (1.5%)

prune62.0ms (1.5%)

simplify5.0ms (0.1%)

localize40.0ms (1%)

series13.0ms (0.3%)

simplify133.0ms (3.2%)

rewrite286.0ms (7%)

eval92.0ms (2.2%)

prune100.0ms (2.4%)

simplify5.0ms (0.1%)

localize62.0ms (1.5%)

series29.0ms (0.7%)

simplify132.0ms (3.2%)

rewrite337.0ms (8.2%)

eval26.0ms (0.6%)

prune64.0ms (1.6%)

regimes31.0ms (0.8%)

regimes16.0ms (0.4%)

regimes33.0ms (0.8%)

regimes3.0ms (0.1%)

regimes9.0ms (0.2%)

regimes20.0ms (0.5%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.4%)

bsearch0.0ms (0%)

simplify11.0ms (0.3%)

soundness961.0ms (23.5%)

preprocess96.0ms (2.3%)

end0.0ms (0%)

Profiling