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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample901.0ms (19.3%)

Memory

-12.5MiB live, 1 333.1MiB allocated

Samples

664.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

ival-mult: 276.0ms (67.8% of total)

ival-add: 117.0ms (28.7% of total)

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

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain114.0ms (2.4%)

Memory

17.6MiB live, 204.8MiB 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

46.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 15.0ms (71.7% of total)

ival-add: 4.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess36.0ms (0.8%)

Memory

10.8MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.4%)

Memory

-10.5MiB live, 71.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

58.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-add: 41.0ms (80.4% of total)

ival-mult: 10.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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) (pow x 2)) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (+ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (+ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (+ (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) (taylor inf y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2))))) (taylor -inf y) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 x) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 2 x)) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ 2 x)) (pow y 2)) (taylor 0 x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (patch (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x)))) (taylor -inf x) (#s(alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) (patch (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 2 binary64)) (patch (.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify309.0ms (6.6%)

Memory

-135.8MiB live, 165.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	298
1	101	298
2	272	298
3	912	298
4	2770	298
5	4863	298
6	7655	298
0	8388	282

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite209.0ms (4.5%)

Memory

1.8MiB live, 225.8MiB allocated

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
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#<batchref>

eval42.0ms (0.9%)

Memory: 19.1MiB live, 56.0MiB allocated
Compiler: Compiled 6 329 to 671 computations (89.4% saved)

prune30.0ms (0.6%)

Memory

-28.0MiB live, 22.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

272 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	100.0%	(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
▶	80.4%	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
▶	65.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	47.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	46.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 78 to 64 computations (17.9% saved)

simplify4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	120
0	27	110
1	41	110
2	46	110
0	46	105

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.8%)

Memory

9.7MiB live, 81.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
accuracy	28.455834940001573	#s(approx (+ (* x 2) (* x x)) (*.f64 x x))
accuracy	0	(-.f64 x #s(literal -2 binary64))
accuracy	0	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy	21.80292976392364	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy	0	(*.f64 y y)
accuracy	33.89221873051707	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	34.287802777237005	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
accuracy	0	(fma.f64 y y (*.f64 x x))
accuracy	0	(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
accuracy	0	(*.f64 x x)

Samples

28.0ms

256×

valid

Compiler

Compiled 103 to 15 computations (85.4% saved)

Precisions

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

ival-mult: 9.0ms (58.8% of total)

ival-add: 4.0ms (26.1% of total)

ival-sub: 1.0ms (6.5% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

-2.5MiB live, 35.6MiB allocated

Counts

11 → 204

Calls

Call 1

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

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

Calls

6 calls:

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

simplify345.0ms (7.4%)

Memory

11.8MiB live, 169.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	1214
1	125	1214
2	322	1214
3	1071	1214
4	2439	1214
5	4382	1214
0	8213	1116

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

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

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

rewrite284.0ms (6.1%)

Memory

-14.0MiB live, 265.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	27	92
1	109	92
2	884	92
0	8619	87

Stop Event

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

Counts

11 → 330

Calls

Call 1

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

Outputs
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eval108.0ms (2.3%)

Memory: 2.3MiB live, 119.1MiB allocated
Compiler: Compiled 9 784 to 1 048 computations (89.3% saved)

prune34.0ms (0.7%)

Memory

8.0MiB live, 46.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	583	3	586
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	585	7	592

Accuracy

100.0%

Counts

592 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
▶	80.4%	(fma.f64 y y #s(approx (+ (* x 2) (* x x)) (*.f64 x x)))
✓	100.0%	(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
✓	65.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	22.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	47.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 43 to 37 computations (14% saved)

simplify4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	80
0	26	74
1	39	73
2	46	73
3	48	73
0	48	73

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (1.2%)

Memory

-31.3MiB live, 55.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x #s(literal -2 binary64))
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y #s(approx (+ (* x 2) (* x x)) (*.f64 x x)))
accuracy	28.455834940001573	#s(approx (+ (* x 2) (* x x)) (*.f64 x x))
accuracy	0	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy	21.80292976392364	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy	34.03730657668305	#s(approx (- x -2) #s(literal 2 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 64 to 15 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.2% of total)

ival-add: 4.0ms (31.5% of total)

ival-sub: 2.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

9 → 144

Calls

Call 1

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

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

6 calls:

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

simplify253.0ms (5.4%)

Memory

-0.7MiB live, 203.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	756
1	120	756
2	323	756
3	1194	756
4	2819	756
5	4732	756
0	8075	708

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 140

Calls

Call 1

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

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

rewrite183.0ms (3.9%)

Memory

-5.5MiB live, 310.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	73
0	26	67
1	99	66
2	788	66
3	7598	66
0	8186	66

Stop Event

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

Counts

9 → 259

Calls

Call 1

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

Outputs
#<batchref>
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eval47.0ms (1%)

Memory: -3.5MiB live, 117.7MiB allocated
Compiler: Compiled 7 960 to 823 computations (89.7% saved)

prune11.0ms (0.2%)

Memory

-0.7MiB live, 38.6MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	399	0	399
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	399	7	406

Accuracy

100.0%

Counts

406 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 x #s(literal -2 binary64)) x (*.f64 y y))
✓	80.4%	(fma.f64 y y #s(approx (+ (* x 2) (* x x)) (*.f64 x x)))
✓	100.0%	(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
✓	65.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	22.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	47.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 113 to 62 computations (45.1% saved)

regimes19.0ms (0.4%)

Memory

28.0MiB live, 28.0MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes76.0ms (1.6%)

Memory

-17.9MiB live, 21.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

62.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes14.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
80.4%	1	`x`
97.8%	2	`y`
94.8%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
82.6%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
97.8%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.9%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
86.8%	2	`y`
86.8%	2	`(*.f64 y y)`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes46.0ms (1%)

Memory

-21.0MiB live, 18.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

40.0ms	(*.f64 y y)
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.2%	4	`x`
74.2%	3	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
72.8%	4	`y`
69.3%	3	`(*.f64 y y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
72.1%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes30.0ms (0.6%)

Memory

-39.2MiB live, 17.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
46.4%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
46.4%	1	`(*.f64 y y)`
46.4%	1	`y`
46.4%	1	`x`
46.4%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5285492083243964e-167	1.2776834279785414e-155

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch46.0ms (1%)

Memory

38.5MiB live, 38.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	2.4209291807637813e+80	4.307920680503454e+84

Samples

39.0ms

128×

valid

Compiler

Compiled 78 to 101 computations (-29.5% saved)

Precisions

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

ival-add: 35.0ms (95.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.5%)

Memory

-37.5MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	86.61703902749241	2961951787443603.5
0.0ms	-9.246654565016644e-127	-1.1720934166693998e-129

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	86.61703902749241	2961951787443603.5

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify24.0ms (0.5%)

Memory

31.6MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	216
1	47	216
2	52	216
3	54	216
4	55	216

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (fma.f64 y y #s(approx (+ ( x 2) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 y y) #s(literal 65000000000000002676431776691507693871741759780458941965886944208633402466955689984 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 100 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 100 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 6639224910209589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (fma.f64 y y #s(approx (+ ( x 2) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 y y) #s(literal 65000000000000002676431776691507693871741759780458941965886944208633402466955689984 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 100 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 #s(literal 2 binary64) x) (.f64 x x)) #s(literal -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) #s(literal 100 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 100 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 #s(literal 2 binary64) x) (.f64 x x)) #s(literal 100 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

soundness1.2s (25%)

Memory

-23.3MiB live, 258.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	27	92
1	109	92
2	884	92
0	8619	87
0	41	1214
1	125	1214
2	322	1214
3	1071	1214
4	2439	1214
5	4382	1214
0	8213	1116
0	8	24
0	13	20
1	47	20
2	406	20
3	6148	20
0	8102	19
0	36	298
1	101	298
2	272	298
3	912	298
4	2770	298
5	4863	298
6	7655	298
0	8388	282

Stop Event

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

Compiler

Compiled 205 to 104 computations (49.3% saved)

preprocess108.0ms (2.3%)

Memory: 9.3MiB live, 120.1MiB allocated
Remove: (abs y)
Compiler: Compiled 276 to 112 computations (59.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample901.0ms (19.3%)

explain114.0ms (2.4%)

preprocess36.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize63.0ms (1.4%)

series6.0ms (0.1%)

simplify309.0ms (6.6%)

rewrite209.0ms (4.5%)

eval42.0ms (0.9%)

prune30.0ms (0.6%)

simplify4.0ms (0.1%)

localize38.0ms (0.8%)

series12.0ms (0.3%)

simplify345.0ms (7.4%)

rewrite284.0ms (6.1%)

eval108.0ms (2.3%)

prune34.0ms (0.7%)

simplify4.0ms (0.1%)

localize56.0ms (1.2%)

series8.0ms (0.2%)

simplify253.0ms (5.4%)

rewrite183.0ms (3.9%)

eval47.0ms (1%)

prune11.0ms (0.2%)

regimes19.0ms (0.4%)

regimes76.0ms (1.6%)

regimes14.0ms (0.3%)

regimes7.0ms (0.1%)

regimes46.0ms (1%)

regimes2.0ms (0%)

regimes30.0ms (0.6%)

bsearch0.0ms (0%)

bsearch46.0ms (1%)

bsearch22.0ms (0.5%)

bsearch1.0ms (0%)

simplify24.0ms (0.5%)

soundness1.2s (25%)

preprocess108.0ms (2.3%)

end0.0ms (0%)

Profiling