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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.1s (16.4%)

Memory

42.0MiB live, 1 090.7MiB allocated

Samples

868.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 603.0ms

ival-mult: 521.0ms (86.4% of total)

ival-add: 68.0ms (11.3% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain185.0ms (2.8%)

Memory

-33.8MiB live, 164.2MiB 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

29.0ms

512×

valid

Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions

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

ival-mult: 10.0ms (66.7% of total)

ival-add: 4.0ms (26.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess33.0ms (0.5%)

Memory

-14.4MiB live, 24.3MiB allocated

Algorithm

1×	egg-herbie

Rules

133×	`sub-neg`
99×	`unsub-neg`
73×	`cancel-sign-sub-inv`
71×	`associate-+l-`
68×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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

14×	`lower-fma.f64`
14×	`lower-fma.f32`
14×	`lower-+.f32`
12×	`lower-+.f64`
6×	`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

localize24.0ms (0.4%)

Memory

12.4MiB live, 51.5MiB 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

16.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

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

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

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-28.8MiB live, 10.2MiB 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) (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 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 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 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 (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 (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) (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 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

15 calls:

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

simplify184.0ms (2.8%)

Memory

29.9MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 969×	`lower-fma.f64`
4 969×	`lower-fma.f32`
1 654×	`lower-*.f64`
1 654×	`lower-*.f32`
861×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	298
1	101	298
2	272	298
3	917	298
4	2774	298
5	4851	298
6	7645	298
0	8375	282

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite324.0ms (4.9%)

Memory

-9.2MiB live, 261.7MiB allocated

Rules

3 372×	`lower-fma.f64`
3 372×	`lower-fma.f32`
2 358×	`lower-*.f32`
2 355×	`lower-*.f64`
1 321×	`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 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) x (.f64 #s(literal 4 binary64) (*.f64 x x))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 x x)) (.f64 x (-.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (fma.f64 (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 16 binary64) (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (*.f64 x x) x #s(literal 8 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) x) x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 8 binary64)) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 x (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)))) (fma.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x))))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))) (neg.f64 (.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))))) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))) (.f64 (*.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 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 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 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 (.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 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x x)))))))
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(/.f64 (fma.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (fma.f64 y y (.f64 x x)) (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)) (neg.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))) (neg.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) x) (+.f64 #s(literal 2 binary64) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (.f64 y y) y) y))))
(/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y))) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) x) (+.f64 #s(literal 2 binary64) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (.f64 y y) y) y)))
(neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)) (neg.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) x) (+.f64 #s(literal 2 binary64) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (.f64 y y) y) y))))
(neg.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y))) (neg.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) x) (+.f64 #s(literal 2 binary64) x) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 (.f64 y y) y) y)))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) x (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 y y))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))) (.f64 y y))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 x x)) (.f64 x (-.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (fma.f64 (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x))) (*.f64 y y))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) x) (+.f64 #s(literal 2 binary64) x) (.f64 (.f64 (neg.f64 y) y) (.f64 (.f64 (.f64 y y) y) y)))) (fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x) (.f64 (.f64 y y) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) (.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(fma.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(fma.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(fma.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))) (*.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 y y))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))) (*.f64 y y))
(fma.f64 (neg.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 y y))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (*.f64 y y))
(fma.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 y y))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 y y))
(fma.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 y y))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (*.f64 y y))
(fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x)))
(fma.f64 x (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(-.f64 (fma.f64 y y (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (*.f64 (-.f64 #s(literal 2 binary64) x) x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) y) (-.f64 (.f64 y y) (.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) 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 4 binary64) (.f64 x x)) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y))) (/.f64 (.f64 (fma.f64 y y (.f64 x x)) (fma.f64 y y (.f64 x x))) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 y y)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (+.f64 #s(literal 2 binary64) x)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 y (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))))))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 y y) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(+.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval39.0ms (0.6%)

Memory: 27.1MiB live, 62.6MiB allocated
Compiler: Compiled 8 653 to 658 computations (92.4% saved)

prune53.0ms (0.8%)

Memory

-47.7MiB live, 85.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	263	8	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	8	272

Accuracy

100.0%

Counts

272 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
	100.0%	(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	100.0%	(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
▶	82.5%	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
	64.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))))
▶	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
	47.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	46.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 140 to 78 computations (44.3% saved)

simplify5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

16×	`lower-+.f32`
15×	`lower-fma.f32`
14×	`lower-+.f64`
12×	`lower-fma.f64`
8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	118
0	33	109
1	50	107
2	53	107
0	53	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (1.4%)

Memory

-0.1MiB live, 75.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 2 binary64) x)
accuracy	0	(*.f64 y y)
accuracy	0.01171875	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
accuracy	26.955653638567114	#s(approx (+ (* x 2) (* x x)) (*.f64 x x))
accuracy	0	(-.f64 x #s(literal -2 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy	23.420092918454344	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	34.2367659854159	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
accuracy	0	(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))

Samples

58.0ms

256×

valid

Compiler

Compiled 106 to 19 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 38.0ms (83% of total)

ival-add: 6.0ms (13.1% of total)

ival-sub: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

13 → 228

Calls

Call 1

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

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

Calls

57 calls:

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

simplify169.0ms (2.6%)

Memory

1.0MiB live, 270.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 660×	`lower-fma.f64`
6 660×	`lower-fma.f32`
1 591×	`lower-*.f64`
1 591×	`lower-*.f32`
1 299×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1412
1	143	1412
2	391	1280
3	1433	1280
4	4022	1280
0	8055	1182

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

Calls

Call 1

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

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

rewrite334.0ms (5%)

Memory

5.9MiB live, 365.5MiB allocated

Rules

3 720×	`lower-fma.f32`
3 717×	`lower-fma.f64`
1 917×	`lower-*.f32`
1 913×	`lower-*.f64`
1 848×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	101
0	33	92
1	148	90
2	1003	90
0	8262	89

Stop Event

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

Counts

13 → 498

Calls

Call 1

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

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

eval114.0ms (1.7%)

Memory: 2.3MiB live, 200.5MiB allocated
Compiler: Compiled 17 086 to 934 computations (94.5% saved)

prune253.0ms (3.8%)

Memory

2.3MiB live, 117.5MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	753	5	758
Fresh	2	1	3
Picked	3	2	5
Done	0	0	0
Total	758	8	766

Accuracy

100.0%

Counts

766 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	(fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))
▶	82.6%	(fma.f64 y y #s(approx (+ (* x 2) (* x x)) (*.f64 x x)))
▶	82.6%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 y y)))
▶	63.4%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64))))
✓	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	19.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
▶	47.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 112 to 58 computations (48.2% saved)

simplify5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

20×	`lower-+.f64`
20×	`lower-+.f32`
17×	`lower-fma.f32`
14×	`lower-fma.f64`
9×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	142
0	32	134
1	47	134
2	54	134
0	54	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize122.0ms (1.8%)

Memory

6.6MiB live, 48.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y #s(approx (+ (* x 2) (* x x)) (*.f64 x x)))
accuracy	26.955653638567114	#s(approx (+ (* x 2) (* x x)) (*.f64 x x))
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.00390625	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64))))
accuracy	31.411252915745855	#s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64)))
accuracy	0.0078125	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy	23.420092918454344	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy	35.40670338693165	#s(approx (- x -2) #s(literal 2 binary64))
accuracy	0	(*.f64 y y)
accuracy	33.65834149870521	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 y y)))
accuracy	31.1750403690063	#s(approx (+ (* y y) (* 2 x)) (*.f64 y y))

Samples

104.0ms

256×

valid

Compiler

Compiled 107 to 17 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 86.0ms (92.2% of total)

ival-add: 5.0ms (5.4% of total)

ival-sub: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

-28.9MiB live, 9.4MiB allocated

Counts

13 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(+ (* x x) (+ (* y y) (* 2 x)))
0.0ms	x	@	0	(+ (* x x) (+ (* y y) (* 2 x)))
0.0ms	y	@	0	(+ (* y y) (+ (* x 2) (* x x)))
0.0ms	y	@	0	(+ (* x x) (+ (* y y) (* 2 x)))
0.0ms	y	@	inf	(+ (* y y) (+ (* x 2) (* x x)))

simplify497.0ms (7.5%)

Memory

-2.3MiB live, 173.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 884×	`lower-fma.f64`
3 884×	`lower-fma.f32`
1 542×	`lower-*.f64`
1 542×	`lower-*.f32`
1 057×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	1526
1	132	1526
2	353	1394
3	1248	1394
4	3431	1394
5	7429	1394
0	8336	1278

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 238

Calls

Call 1

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

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

rewrite319.0ms (4.8%)

Memory

-11.5MiB live, 298.5MiB allocated

Rules

3 188×	`lower-fma.f32`
3 185×	`lower-fma.f64`
2 510×	`lower-*.f32`
2 506×	`lower-*.f64`
2 229×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	130
0	32	122
1	132	122
2	949	122
0	8410	116

Stop Event

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

Counts

13 → 136

Calls

Call 1

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

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

eval38.0ms (0.6%)

Memory: 42.3MiB live, 117.9MiB allocated
Compiler: Compiled 7 218 to 384 computations (94.7% saved)

prune36.0ms (0.5%)

Memory

-28.6MiB live, 89.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	392	0	392
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	392	8	400

Accuracy

100.0%

Counts

400 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.3%	(fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))
✓	82.6%	(fma.f64 y y #s(approx (+ (* x 2) (* x x)) (*.f64 x x)))
✓	82.6%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 y y)))
✓	63.4%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64))))
✓	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	19.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	47.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 63 to 33 computations (47.6% saved)

simplify4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

4×	`lower-+.f64`
4×	`lower-+.f32`
3×	`lower-fma.f32`
3×	`lower-*.f32`
2×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	10	21
1	13	21
0	13	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.4%)

Memory

-7.4MiB live, 31.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.01171875	(fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))
accuracy	35.40670338693165	#s(approx (+ 2 x) #s(literal 2 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 20 to 9 computations (55% saved)

Precisions

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

ival-mult: 3.0ms (50.6% of total)

ival-add: 2.0ms (33.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs

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

#s(alt #s(approx (+ 2 x) #s(literal 2 binary64)) (patch #s(approx (+ 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())

#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())

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

Calls

12 calls:

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

simplify166.0ms (2.5%)

Memory

-4.4MiB live, 173.2MiB allocated

Algorithm

1×	egg-herbie

Rules

3 461×	`lower-fma.f64`
3 461×	`lower-fma.f32`
1 768×	`lower-*.f64`
1 768×	`lower-*.f32`
790×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	250
1	98	250
2	261	238
3	932	238
4	3158	238
5	6701	238
0	8321	222

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

Outputs
(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))
(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 (* -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))
(* 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 (/ (* 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))
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))
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))
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 y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite439.0ms (6.6%)

Memory

-3.6MiB live, 310.1MiB allocated

Rules

4 028×	`lower-fma.f32`
4 027×	`lower-fma.f64`
2 108×	`lower-*.f32`
2 107×	`lower-*.f64`
2 079×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
0	10	18
1	41	18
2	290	18
3	2630	18
0	9174	18

Stop Event

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

Counts

3 → 131

Calls

Call 1

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

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

eval300.0ms (4.5%)

Memory: -17.4MiB live, 26.6MiB allocated
Compiler: Compiled 8 738 to 410 computations (95.3% saved)

prune24.0ms (0.4%)

Memory

36.8MiB live, 36.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	177	8	185

Accuracy

100.0%

Counts

185 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.3%	(fma.f64 #s(approx (+ 2 x) #s(literal 2 binary64)) x (*.f64 y y))
✓	82.6%	(fma.f64 y y #s(approx (+ (* x 2) (* x x)) (*.f64 x x)))
✓	82.6%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 y y)))
✓	63.4%	(fma.f64 x x #s(approx (+ (* y y) (* 2 x)) (*.f64 x #s(literal 2 binary64))))
✓	63.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	19.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	47.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 163 to 57 computations (65% saved)

regimes51.0ms (0.8%)

Memory

-19.6MiB live, 20.0MiB allocated

Counts

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

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

Calls

5 calls:

32.0ms	(*.f64 y y)
5.0ms	y
5.0ms	x
5.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Results

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes21.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes58.0ms (0.9%)

Memory

-20.0MiB live, 17.1MiB allocated

Counts

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

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

Calls

5 calls:

43.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	x
4.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
98.9%	3	`x`
98.7%	2	`y`
98.9%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
98.9%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
98.7%	2	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes13.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
90.3%	3	`x`
88.9%	2	`y`
88.9%	2	`(*.f64 y y)`
70.7%	3	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
88.9%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB 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

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
88.8%	2	`y`
88.8%	2	`(*.f64 y y)`
73.9%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes58.0ms (0.9%)

Memory

-28.4MiB live, 9.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

52.0ms	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
72.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
75.4%	4	`x`
71.9%	2	`y`
71.9%	2	`(*.f64 y y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
46.5%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
46.5%	1	`y`
46.5%	1	`(*.f64 y y)`
46.5%	1	`x`
46.5%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.216361888151011e-7	2529.2160181722875

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.086068579834454e+94	1.5906296216748502e+108

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch13.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2262514715571966e-14	6.684768230440366e-5

Samples

7.0ms

160×

valid

Compiler

Compiled 156 to 103 computations (34% saved)

Precisions

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

ival-mult: 2.0ms (57.8% of total)

ival-add: 1.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.917696088325314e+27	3.2931046055964525e+36

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify7.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	195
1	49	195
2	54	195
3	56	195
4	57	195

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 x #s(literal 2 binary64)))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 x #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 4457913959828945/75557863725914323419136 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 4999999999999999791559868416 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 x #s(literal 2 binary64)))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) (fma.f64 x x #s(approx (+ ( y y) (* 2 x)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 x #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 20000000000000000404377582543118939771521926464287154822755537124160080099963286187173956550656 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 4457913959828945/75557863725914323419136 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 4999999999999999791559868416 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 4999999999999999791559868416 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))

soundness1.4s (21.5%)

Memory

-15.4MiB live, 469.1MiB allocated

Rules

6 660×	`lower-fma.f64`
6 660×	`lower-fma.f32`
4 969×	`lower-fma.f64`
4 969×	`lower-fma.f32`
3 372×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1412
1	143	1412
2	391	1280
3	1433	1280
4	4022	1280
0	8055	1182
0	36	298
1	101	298
2	272	298
3	917	298
4	2774	298
5	4851	298
6	7645	298
0	8375	282
0	8	24
0	13	20
1	47	20
2	406	20
3	6148	20
0	8102	19

Stop Event

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

Compiler

Compiled 251 to 100 computations (60.2% saved)

preprocess62.0ms (0.9%)

Memory: -3.0MiB live, 152.9MiB allocated
Remove: (abs y)
Compiler: Compiled 278 to 100 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (16.4%)

explain185.0ms (2.8%)

preprocess33.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (0.4%)

series6.0ms (0.1%)

simplify184.0ms (2.8%)

rewrite324.0ms (4.9%)

eval39.0ms (0.6%)

prune53.0ms (0.8%)

simplify5.0ms (0.1%)

localize90.0ms (1.4%)

series10.0ms (0.1%)

simplify169.0ms (2.6%)

rewrite334.0ms (5%)

eval114.0ms (1.7%)

prune253.0ms (3.8%)

simplify5.0ms (0.1%)

localize122.0ms (1.8%)

series18.0ms (0.3%)

simplify497.0ms (7.5%)

rewrite319.0ms (4.8%)

eval38.0ms (0.6%)

prune36.0ms (0.5%)

simplify4.0ms (0.1%)

localize26.0ms (0.4%)

series1.0ms (0%)

simplify166.0ms (2.5%)

rewrite439.0ms (6.6%)

eval300.0ms (4.5%)

prune24.0ms (0.4%)

regimes51.0ms (0.8%)

regimes21.0ms (0.3%)

regimes58.0ms (0.9%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes58.0ms (0.9%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.4s (21.5%)

preprocess62.0ms (0.9%)

end0.0ms (0%)

Profiling