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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample780.0ms (19.6%)

Memory

31.2MiB live, 1 442.4MiB allocated

Samples

537.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 354.0ms

ival-mult: 264.0ms (74.6% of total)

ival-add: 77.0ms (21.7% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

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

Bogosity

explain160.0ms (4%)

Memory

-21.9MiB live, 220.7MiB 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

81.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 62.0ms (92.5% of total)

ival-add: 4.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess36.0ms (0.9%)

Memory

20.0MiB live, 58.0MiB 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 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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 11 to 8 computations (27.3% saved)

simplify4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB 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

localize23.0ms (0.6%)

Memory

-19.7MiB live, 56.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
accuracy	0.0078125	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Samples

15.0ms

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 (69.3% of total)

ival-add: 2.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

4 → 60

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>) () ())

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 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 (+.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 (* 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
1.0ms	x	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms	x	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms	x	@	0	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
1.0ms	y	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))
0.0ms	y	@	0	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x))

simplify209.0ms (5.3%)

Memory

-49.8MiB live, 222.4MiB 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	298
1	101	298
2	272	298
3	912	298
4	2770	298
5	4863	298
6	7655	298
0	8388	282

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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) (+ 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)))))
(* 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) (+ 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))
(* 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)

rewrite188.0ms (4.7%)

Memory

14.2MiB live, 244.2MiB 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	24
0	13	20
1	47	20
2	406	20
3	6148	20
0	8102	19

Stop Event

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

Counts

4 → 211

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)

Outputs
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.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))) (pow.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))
(.f64 (pow.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 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 (.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) (pow.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 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) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))))
(*.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 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #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 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64)))) (.f64 (-.f64 #s(literal 2 binary64) x) x)))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #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 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 #s(literal 4 binary64) (.f64 x x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))))
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(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (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 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (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 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.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 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (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)))

eval51.0ms (1.3%)

Memory: 20.4MiB live, 68.4MiB allocated
Compiler: Compiled 6 329 to 671 computations (89.4% saved)

prune63.0ms (1.6%)

Memory

-8.0MiB live, 105.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	265	6	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	266	6	272

Accuracy

100.0%

Counts

272 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
	80.4%	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
▶	68.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
▶	60.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	49.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	41.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 74 to 64 computations (13.5% saved)

simplify5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	114
0	29	102
1	40	102
2	45	102
0	45	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize77.0ms (1.9%)

Memory

-10.2MiB live, 111.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0078125	(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
accuracy	20.307319828573995	#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	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy	25.329553853262002	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy	0	(*.f64 y y)
accuracy	32.3935932772263	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	37.61729246178463	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
accuracy	0	(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy	0	(+.f64 #s(literal 2 binary64) x)
accuracy	0	(*.f64 (+.f64 #s(literal 2 binary64) x) x)

Samples

51.0ms

256×

valid

Compiler

Compiled 97 to 17 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 23.0ms (57.3% of total)

ival-mult: 10.0ms (24.9% of total)

ival-sub: 7.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.8%)

Memory

-7.8MiB live, 30.5MiB allocated

Counts

12 → 216

Calls

Call 1

Inputs
#s(alt (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (patch (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (.f64 (+.f64 #s(literal 2 binary64) x) 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 (* x (+ 2 x)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (patch (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 2 x)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (patch (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 2 x)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (patch (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 2 x)) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (patch (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) 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 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 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (patch (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (patch (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (patch (fma.f64 y y (.f64 (+.f64 #s(literal 2 binary64) x) x)) #<representation binary64>) () ())) ())
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#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
23.0ms	x	@	-inf	((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) 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	@	inf	((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) 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	((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) 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	@	0	((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) 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	((+ (* y y) (* (+ 2 x) x)) (* (+ 2 x) 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)))

simplify142.0ms (3.6%)

Memory

22.4MiB live, 253.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 320×	`lower-fma.f64`
13 320×	`lower-fma.f32`
3 182×	`lower-*.f64`
3 182×	`lower-*.f32`
2 598×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1244
1	143	1244
2	391	1244
3	1425	1244
4	4004	1244
0	8039	1146

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 212

Calls

Call 1

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

rewrite298.0ms (7.5%)

Memory

-28.7MiB live, 379.0MiB allocated

Rules

13 462×	`lower-fma.f32`
13 458×	`lower-fma.f64`
5 394×	`lower-*.f32`
5 388×	`lower-*.f64`
3 740×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	101
0	29	89
1	114	89
2	816	89
0	8498	89

Stop Event

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

Counts

12 → 427

Calls

Call 1

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

eval86.0ms (2.2%)

Memory: 8.6MiB live, 210.0MiB allocated
Compiler: Compiled 11 068 to 1 095 computations (90.1% saved)

prune107.0ms (2.7%)

Memory

-4.1MiB live, 154.8MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	654	3	657
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	657	6	663

Accuracy

100.0%

Counts

663 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.3%	(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
▶	80.4%	(fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))
✓	60.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	22.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	49.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	41.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ 2 x) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
cost-diff	0	(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (+ 2 x) x) (*.f64 x x))
cost-diff	0	(fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))
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-fma.f32`
36×	`lower-+.f32`
32×	`lower-fma.f64`
16×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	84
0	26	82
1	40	82
2	47	82
3	49	82
0	49	81

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

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

localize54.0ms (1.4%)

Memory

-3.3MiB live, 73.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
accuracy	0	(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
accuracy	30.568273976635957	#s(approx (+ 2 x) #s(literal 2 binary64))
accuracy	0	(fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	31.474325376368625	#s(approx (* (+ 2 x) x) (*.f64 x x))
accuracy	0	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy	25.329553853262002	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy	30.568273976635957	#s(approx (- x -2) #s(literal 2 binary64))

Samples

45.0ms

256×

valid

Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions

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

ival-mult: 8.0ms (59% of total)

ival-add: 4.0ms (29.5% of total)

ival-sub: 1.0ms (7.4% 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

10.2MiB live, 10.2MiB allocated

Counts

9 → 144

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

Calls

6 calls:

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

simplify120.0ms (3%)

Memory

-25.2MiB live, 170.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 410×	`lower-fma.f64`
7 410×	`lower-fma.f32`
4 928×	`lower-*.f64`
4 928×	`lower-*.f32`
1 488×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	774
1	120	774
2	323	774
3	1194	774
4	2819	774
5	4732	774
0	8075	726

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 140

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

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

rewrite198.0ms (5%)

Memory

23.9MiB live, 298.3MiB allocated

Rules

11 272×	`lower-fma.f32`
11 268×	`lower-fma.f64`
5 882×	`lower-*.f32`
5 878×	`lower-*.f64`
3 968×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	26	75
1	111	75
2	848	75
0	8838	74

Stop Event

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

Counts

9 → 108

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

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))
#s(approx (+ 2 x) #s(literal 2 binary64))
(.f64 (-.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y))))
(.f64 #s(literal 1 binary64) (fma.f64 y y #s(approx ( (+ 2 x) x) (*.f64 x x))))
(.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))))
(.f64 (neg.f64 (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y #s(approx ( (+ 2 x) x) (.f64 x x))) (pow.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x)))))))
(.f64 (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 y y #s(approx ( (+ 2 x) x) (.f64 x x))) (.f64 (-.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (.f64 x x))) (pow.f64 (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x))) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx ( (+ 2 x) x) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x))) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) (.f64 y y)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(approx (* (+ 2 x) x) (*.f64 x x)) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 6 binary64))) (pow.f64 (.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) (.f64 y y)) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x))))) (.f64 (/.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) (fma.f64 (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (.f64 x x)))) (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x)))) (.f64 (-.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (.f64 x x))) (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (.f64 x x))) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) (.f64 y y)) (-.f64 (pow.f64 #s(approx (* (+ 2 x) x) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (.f64 x x))))) (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64))) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)))) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 (fma.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(approx (* (+ 2 x) x) (*.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (.f64 x x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))))
(fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (.f64 x x)))) (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 #s(approx ( (+ 2 x) x) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 y y) #s(approx (* (+ 2 x) x) (*.f64 x x))))))
(+.f64 #s(approx (* (+ 2 x) x) (.f64 x x)) (.f64 y y))
(+.f64 (.f64 y y) #s(approx ( (+ 2 x) x) (*.f64 x x)))
#s(approx (* (+ 2 x) x) (*.f64 x x))
(*.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 x) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 y y)))
(.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 y y)) (pow.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 y y)) (.f64 (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (pow.f64 (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 4 binary64))) (.f64 (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 6 binary64))) (.f64 (pow.f64 (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (.f64 (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))) (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 (fma.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 4 binary64))))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))))
(fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(fma.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)) (*.f64 y y))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 (neg.f64 y) y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)))))
(+.f64 (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x)
(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))
#s(approx (+ 2 x) #s(literal 2 binary64))

eval30.0ms (0.7%)

Memory: -11.5MiB live, 71.2MiB allocated
Compiler: Compiled 3 792 to 335 computations (91.2% saved)

prune19.0ms (0.5%)

Memory

18.9MiB live, 56.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	248	6	254

Accuracy

100.0%

Counts

254 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.3%	(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
✓	80.4%	(fma.f64 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))
✓	60.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	22.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	49.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	41.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 100 to 60 computations (40% saved)

regimes22.0ms (0.6%)

Memory

-22.6MiB live, 52.8MiB 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 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

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

Calls

5 calls:

5.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
5.0ms	x
4.0ms	y
4.0ms	(+.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 23 to 21 computations (8.7% saved)

regimes81.0ms (2%)

Memory

1.4MiB live, 88.9MiB 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 y y #s(approx (* (+ 2 x) x) (*.f64 x x)))
(fma.f64 y y (*.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x))
(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))

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

Calls

5 calls:

67.0ms	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	y
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.0%	3	`x`
99.4%	2	`y`
99.0%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
99.0%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
99.4%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes17.0ms (0.4%)

Memory

27.5MiB live, 59.3MiB 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

5 calls:

7.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
2.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
94.0%	3	`x`
74.6%	3	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
92.8%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
84.2%	2	`y`
84.2%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes11.0ms (0.3%)

Memory

-9.3MiB live, 27.4MiB 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:

4.0ms	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
84.2%	2	`y`
84.2%	2	`(*.f64 y y)`
78.4%	5	`x`
77.4%	4	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes6.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

3 → 4

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.4%	4	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
69.6%	3	`y`
67.6%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.2%)

Memory

-40.6MiB live, 6.5MiB allocated

Counts

2 → 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))

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
74.1%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory

25.0MiB live, 25.0MiB 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	y
1.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	x
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
41.2%	1	`(*.f64 y y)`
41.2%	1	`y`
41.2%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
41.2%	1	`x`
41.2%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.963263702845794e-163	4.498116743605556e-135

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3072615516934655e+53	3.673110590870032e+66

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch15.0ms (0.4%)

Memory

2.6MiB live, 42.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.870405575278508e-113	3.730247414351584e-97

Samples

7.0ms

160×

valid

Compiler

Compiled 94 to 123 computations (-30.9% saved)

Precisions

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

ival-mult: 2.0ms (54.4% of total)

ival-add: 1.0ms (27.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.5764591200283325e+68	1.3680060932956601e+69
0.0ms	3.614284250443272e-156	3.270161429500429e-152
0.0ms	2.4884204845620372e-222	4.1549316523707925e-219

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.5764591200283325e+68	1.3680060932956601e+69

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify25.0ms (0.6%)

Memory

-1.7MiB live, 77.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	275
1	57	275
2	62	275
3	64	275
4	65	275

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (.f64 y y) #s(literal 8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (fma.f64 y y #s(approx ( (+ 2 x) x) (*.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 199999999999999998644189734872325595292341688388812800 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 5002207817901643/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 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 6511732844609233/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #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 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 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 #s(literal 2 binary64)) (.f64 x x)) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 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 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 y y (*.f64 (+.f64 x #s(literal 2 binary64)) x))
(if (<=.f64 (.f64 y y) #s(literal 8104522595470689/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (fma.f64 y y #s(approx ( (+ 2 x) x) (*.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 199999999999999998644189734872325595292341688388812800 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 5002207817901643/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 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 6511732844609233/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #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 4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 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 #s(literal 2 binary64)) (.f64 x x)) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 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 (24.2%)

Memory

-21.1MiB live, 502.9MiB allocated

Rules

13 320×	`lower-fma.f64`
13 320×	`lower-fma.f32`
9 938×	`lower-fma.f64`
9 938×	`lower-fma.f32`
6 744×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1244
1	143	1244
2	391	1244
3	1425	1244
4	4004	1244
0	8039	1146
0	8	24
0	13	20
1	47	20
2	406	20
3	6148	20
0	8102	19
0	36	298
1	101	298
2	272	298
3	912	298
4	2770	298
5	4863	298
6	7655	298
0	8388	282

Stop Event

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

Compiler

Compiled 247 to 117 computations (52.6% saved)

preprocess122.0ms (3.1%)

Memory: 0.1MiB live, 115.8MiB allocated
Remove: (abs y)
Compiler: Compiled 346 to 138 computations (60.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample780.0ms (19.6%)

explain160.0ms (4%)

preprocess36.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize23.0ms (0.6%)

series6.0ms (0.1%)

simplify209.0ms (5.3%)

rewrite188.0ms (4.7%)

eval51.0ms (1.3%)

prune63.0ms (1.6%)

simplify5.0ms (0.1%)

localize77.0ms (1.9%)

series32.0ms (0.8%)

simplify142.0ms (3.6%)

rewrite298.0ms (7.5%)

eval86.0ms (2.2%)

prune107.0ms (2.7%)

simplify5.0ms (0.1%)

localize54.0ms (1.4%)

series7.0ms (0.2%)

simplify120.0ms (3%)

rewrite198.0ms (5%)

eval30.0ms (0.7%)

prune19.0ms (0.5%)

regimes22.0ms (0.6%)

regimes81.0ms (2%)

regimes17.0ms (0.4%)

regimes11.0ms (0.3%)

regimes6.0ms (0.1%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify25.0ms (0.6%)

soundness961.0ms (24.2%)

preprocess122.0ms (3.1%)

end0.0ms (0%)

Profiling