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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample794.0ms (10.3%)

Memory

0.6MiB live, 1 118.2MiB allocated

Samples

524.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-mult: 162.0ms (64.9% of total)

ival-add: 74.0ms (29.6% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess37.0ms (0.5%)

Memory

-12.4MiB live, 32.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

explain171.0ms (2.2%)

Memory

-9.0MiB live, 148.9MiB 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

95.0ms

512×

valid

Compiler

Compiled 90 to 36 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 76.0ms (93.7% of total)

ival-add: 5.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.4%)

Memory

-9.2MiB live, 63.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Samples

17.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (50.6% of total)

ival-mult: 5.0ms (50.6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB 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
0.0ms	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	y	@	inf	(+ (+ (* x 2) (* x x)) (* y y))
0.0ms	x	@	0	(* x 2)

simplify498.0ms (6.5%)

Memory

-17.3MiB live, 418.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	298
1	101	298
2	272	298
3	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 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+ (* 2 x) (pow x 2))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #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 x (+.f64 #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 x (+.f64 #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 x (+.f64 #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 x (+.f64 #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 x (+.f64 #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 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #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)

rewrite375.0ms (4.9%)

Memory

-2.8MiB live, 592.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	20
1	47	20
2	406	20
3	6148	20
0	8102	19

Stop Event

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

Counts

4 → 211

Calls

Call 1

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

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

eval85.0ms (1.1%)

Memory: 4.1MiB live, 44.7MiB allocated
Compiler: Compiled 8 653 to 649 computations (92.5% saved)

prune115.0ms (1.5%)

Memory

-25.8MiB live, 90.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	264	7	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	7	272

Accuracy

100.0%

Counts

272 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
▶	100.0%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
	83.3%	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
▶	60.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	44.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	61.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
▶	44.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 120 to 66 computations (45% saved)

simplify6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	116
0	27	108
1	40	108
2	44	108
0	44	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.7%)

Memory

23.8MiB live, 103.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	60.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	accuracy	61.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	44.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	44.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))

Samples

29.0ms

256×

valid

Compiler

Compiled 101 to 16 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 11.0ms (60.4% of total)

ival-add: 7.0ms (38.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-18.0MiB live, 20.3MiB allocated

Counts

11 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

simplify270.0ms (3.5%)

Memory

-16.7MiB live, 387.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	1400
1	132	1400
2	353	1304
3	1253	1304
4	3427	1304
5	7423	1304
0	8335	1188

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

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)))))
(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) (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)
(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 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)))))
(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)))))
(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) (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)))))

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

rewrite417.0ms (5.4%)

Memory

28.3MiB live, 777.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 188×	`lower-fma.f32`
12 182×	`lower-fma.f64`
5 520×	`lower-*.f32`
5 514×	`lower-*.f64`
3 722×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	100
0	27	92
1	111	92
2	775	92
0	8286	87

Stop Event

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

Counts

11 → 339

Calls

Call 1

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

Outputs
(+.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 x x))
(+.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 x x (.f64 y y)))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
(+.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) (.f64 y y)))
(+.f64 (fma.f64 x x (.f64 y y)) (.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y)))))
(+.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 y y)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 x x)))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y))) (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))))
(-.f64 (fma.f64 y y (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (fma.f64 x x (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) x (fma.f64 x x (*.f64 y y)))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))) (*.f64 x x))
(fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x)))) (*.f64 y y))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 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 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal 4 binary64))) (.f64 x (.f64 x (.f64 x #s(literal 2 binary64)))))) (.f64 y y))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 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 x (+.f64 x #s(literal 2 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 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 x x))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))))) (.f64 x x))
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))))) (*.f64 x x))
(fma.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) x) (*.f64 y y))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 y y))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))) (.f64 x x))
(fma.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) x) (*.f64 y y))
(fma.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 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 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)))) (*.f64 y y))
(fma.f64 (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 4 binary64))))) (.f64 x x))
(fma.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (neg.f64 (neg.f64 (.f64 y y))))) (*.f64 x x))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x x))))) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
(fma.f64 (.f64 (.f64 x x) (fma.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 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x #s(literal -2 binary64)))) (.f64 x x))
(fma.f64 (.f64 x (fma.f64 x (.f64 x x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(fma.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 8 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) x) (/.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(neg.f64 (/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))))))
(neg.f64 (/.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64))))))))
(neg.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (neg.f64 (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y)))))
(neg.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (neg.f64 (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (neg.f64 (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y)))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))
(/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y))) (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 y y)))))
(/.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y)))
(/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 y y (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (fma.f64 x #s(literal 2 binary64) (.f64 y y)) (.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (neg.f64 (fma.f64 y (.f64 y (.f64 y y)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))))
(/.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (neg.f64 (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y)))) (neg.f64 (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 y y))))
(/.f64 (neg.f64 (.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (.f64 y y)) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (neg.f64 (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 (fma.f64 x x (.f64 y y)) (.f64 x #s(literal 2 binary64))))))
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eval94.0ms (1.2%)

Memory: 19.4MiB live, 133.3MiB allocated
Compiler: Compiled 11 303 to 773 computations (93.2% saved)

prune71.0ms (0.9%)

Memory

-43.8MiB live, 136.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	586	3	589
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	588	8	596

Accuracy

100.0%

Counts

596 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
▶	83.3%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))
▶	61.0%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))
✓	60.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
✓	44.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	61.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
▶	19.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))
✓	44.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 64 to 35 computations (45.3% saved)

simplify6.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	30	109
1	44	109
2	49	109
0	49	105

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (1.2%)

Memory

9.2MiB live, 89.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))
✓	accuracy	47.9%	#s(approx (+ (* x 2) (* y y)) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))
✓	accuracy	54.3%	#s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))
✓	accuracy	61.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))
✓	accuracy	48.9%	#s(approx (+ 2 x) #s(literal 2 binary64))

Samples

54.0ms

256×

valid

Compiler

Compiled 89 to 18 computations (79.8% saved)

Precisions

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

ival-mult: 35.0ms (81% of total)

ival-add: 8.0ms (18.5% 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

-19.9MiB live, 18.4MiB allocated

Counts

12 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

simplify498.0ms (6.5%)

Memory

37.4MiB live, 584.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1336
1	143	1336
2	391	1216
3	1425	1216
4	4024	1216
0	8047	1116

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 212

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

rewrite462.0ms (6%)

Memory

-12.3MiB live, 673.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 884×	`lower-fma.f32`
7 878×	`lower-fma.f64`
3 902×	`lower-/.f64`
3 902×	`lower-/.f32`
3 854×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	30	100
1	134	100
2	1010	100
0	8237	96

Stop Event

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

Counts

12 → 314

Calls

Call 1

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

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

eval348.0ms (4.5%)

Memory: 4.6MiB live, 120.4MiB allocated
Compiler: Compiled 10 755 to 918 computations (91.5% saved)

prune88.0ms (1.1%)

Memory

3.2MiB live, 87.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	525	1	526
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	527	7	534

Accuracy

100.0%

Counts

534 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(fma.f64 y y #s(approx (* x (+ x 2)) (*.f64 x x)))
✓	61.0%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))
✓	60.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
✓	44.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	61.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
✓	19.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))
✓	44.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 54 to 29 computations (46.3% saved)

simplify61.0ms (0.8%)

Memory

-34.1MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	#s(approx (* x (+ x 2)) (*.f64 x x))
✓	cost-diff	(fma.f64 y y #s(approx (* x (+ x 2)) (*.f64 x x)))

Rules

12×	`lower-+.f64`
12×	`lower-*.f32`
12×	`lower-+.f32`
10×	`lower-*.f64`
8×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	11	26
1	18	26
2	20	26
0	20	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.3%)

Memory

29.6MiB live, 29.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y y #s(approx (* x (+ x 2)) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	53.9%	#s(approx (* x (+ x 2)) (*.f64 x x))

Samples

14.0ms

256×

valid

Compiler

Compiled 21 to 10 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (66% of total)

ival-add: 2.0ms (26.4% 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

2.1MiB live, 2.1MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs

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

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

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

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

12 calls:

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

simplify775.0ms (10.1%)

Memory

-20.2MiB live, 259.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 206×	`lower-fma.f64`
7 206×	`lower-fma.f32`
2 560×	`lower-*.f64`
2 560×	`lower-*.f32`
1 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	262
1	90	262
2	249	262
3	826	262
4	2645	262
5	4957	262
6	7602	262
0	8057	246

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

rewrite815.0ms (10.6%)

Memory

23.7MiB live, 372.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 392×	`lower-fma.f32`
5 390×	`lower-fma.f64`
4 436×	`lower-/.f64`
4 436×	`lower-/.f32`
3 578×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	11	24
1	45	24
2	302	24
3	2524	24
0	8800	24

Stop Event

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

Counts

3 → 124

Calls

Call 1

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

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

eval48.0ms (0.6%)

Memory: -5.5MiB live, 31.0MiB allocated
Compiler: Compiled 8 496 to 380 computations (95.5% saved)

prune27.0ms (0.4%)

Memory

-4.1MiB live, 41.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	172	7	179

Accuracy

100.0%

Counts

179 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.4%	(fma.f64 y y #s(approx (* x (+ x 2)) (*.f64 x x)))
✓	61.0%	(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))
✓	60.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
✓	44.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	61.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
✓	19.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x #s(approx (+ 2 x) #s(literal 2 binary64))))
✓	44.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 139 to 50 computations (64% saved)

regimes39.0ms (0.5%)

Memory

9.4MiB live, 48.6MiB 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 x #s(approx (+ 2 x) #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 y y)))
(fma.f64 y y #s(approx (* x (+ x 2)) (*.f64 x x)))
(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

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

Calls

5 calls:

22.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	x
4.0ms	y
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)

regimes19.0ms (0.2%)

Memory

1.2MiB live, 40.8MiB allocated

Counts

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

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

Calls

5 calls:

4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	x
3.0ms	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
99.4%	3	`x`
97.3%	2	`y`
99.4%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
99.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
97.3%	2	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes32.0ms (0.4%)

Memory

-12.1MiB live, 27.5MiB 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 x #s(approx (+ 2 x) #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 x x #s(approx (+ (* x 2) (* y y)) (*.f64 #s(literal 2 binary64) x)))

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
#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
82.6%	2	`y`
82.6%	2	`(*.f64 y y)`
92.1%	3	`x`
70.1%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
91.5%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes45.0ms (0.6%)

Memory

-28.2MiB live, 30.5MiB 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 x #s(approx (+ 2 x) #s(literal 2 binary64))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))

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

Calls

4 calls:

25.0ms	(*.f64 y y)
15.0ms	y
2.0ms	x
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Results

Accuracy	Segments	Branch
82.5%	2	`y`
82.5%	2	`(*.f64 y y)`
76.6%	3	`x`
75.8%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB 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 x #s(approx (+ 2 x) #s(literal 2 binary64))))

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

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

Calls

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
75.3%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
66.4%	2	`y`
66.4%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes19.0ms (0.3%)

Memory

-22.7MiB live, 15.8MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(*.f64 y y)
2.0ms	x
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Results

Accuracy	Segments	Branch
44.9%	1	`y`
44.9%	1	`(*.f64 y y)`
60.5%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
60.4%	3	`x`
60.4%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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

3 calls:

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

Results

Accuracy	Segments	Branch
44.9%	1	`x`
44.9%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
44.9%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1261731960930206e-8	7.27530617755941e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1261731960930206e-8	7.27530617755941e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1545.9689368532806	1.3141023552515075e+42

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch10.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.8316139158589567e+173	6.500387047366233e+175

Samples

5.0ms

112×

valid

Compiler

Compiled 114 to 76 computations (33.3% saved)

Precisions

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

ival-add: 1.0ms (38.4% of total)

ival-mult: 1.0ms (38.4% 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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1545.9689368532806	1.3141023552515075e+42

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1261731960930206e-8	135.611917606625

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify8.0ms (0.1%)

Memory

-19.6MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	274
1	53	274

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) (fma.f64 y y #s(approx ( x (+ x 2)) (*.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) (fma.f64 x x #s(approx (+ ( x 2) (* y y)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 490000000000000009625120329394099442726823975426190053767541330487926556046170913404319526252534286387624056507094521331264172013221727695225357283100323804641738284293160960 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x (+.f64 #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 2000 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 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) (fma.f64 y y #s(approx ( x (+ x 2)) (*.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) (fma.f64 x x #s(approx (+ ( x 2) (* y y)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 490000000000000009625120329394099442726823975426190053767541330487926556046170913404319526252534286387624056507094521331264172013221727695225357283100323804641738284293160960 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x (+.f64 #s(literal 2 binary64) x))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (.f64 y y) #s(literal 490000000000000009625120329394099442726823975426190053767541330487926556046170913404319526252534286387624056507094521331264172013221727695225357283100323804641738284293160960 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x (+.f64 x #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2000 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 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 x #s(approx (+ 2 x) #s(literal 2 binary64)))) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

soundness1.1s (14.9%)

Memory

27.0MiB live, 774.9MiB allocated

Rules

13 320×	`lower-fma.f64`
13 320×	`lower-fma.f32`
9 938×	`lower-fma.f64`
9 938×	`lower-fma.f32`
7 768×	`lower-fma.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
0	43	1400
1	132	1400
2	353	1304
3	1253	1304
4	3427	1304
5	7423	1304
0	8335	1188
0	46	1336
1	143	1336
2	391	1216
3	1425	1216
4	4024	1216
0	8047	1116
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
1×	iter limit
1×	node limit

Compiler

Compiled 314 to 116 computations (63.1% saved)

preprocess84.0ms (1.1%)

Memory: -23.9MiB live, 135.3MiB allocated
Remove: (abs y)
Compiler: Compiled 352 to 98 computations (72.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample794.0ms (10.3%)

preprocess37.0ms (0.5%)

explain171.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize28.0ms (0.4%)

series5.0ms (0.1%)

simplify498.0ms (6.5%)

rewrite375.0ms (4.9%)

eval85.0ms (1.1%)

prune115.0ms (1.5%)

simplify6.0ms (0.1%)

localize51.0ms (0.7%)

series10.0ms (0.1%)

simplify270.0ms (3.5%)

rewrite417.0ms (5.4%)

eval94.0ms (1.2%)

prune71.0ms (0.9%)

simplify6.0ms (0.1%)

localize89.0ms (1.2%)

series10.0ms (0.1%)

simplify498.0ms (6.5%)

rewrite462.0ms (6%)

eval348.0ms (4.5%)

prune88.0ms (1.1%)

simplify61.0ms (0.8%)

localize21.0ms (0.3%)

series1.0ms (0%)

simplify775.0ms (10.1%)

rewrite815.0ms (10.6%)

eval48.0ms (0.6%)

prune27.0ms (0.4%)

regimes39.0ms (0.5%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

regimes32.0ms (0.4%)

regimes45.0ms (0.6%)

regimes6.0ms (0.1%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (14.9%)

preprocess84.0ms (1.1%)

end0.0ms (0%)

Profiling