Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample677.0ms (10.5%)

Memory

6.1MiB live, 1 065.6MiB allocated

Samples

444.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 120.0ms (50.9% of total)

ival-add: 107.0ms (45.4% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain108.0ms (1.7%)

Memory

-6.1MiB live, 169.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))`
-	-	`(+.f64 (.f64 x x) (.f64 y y))`
-	-	`y`
-	-	`(*.f64 y y)`
-	-	`(*.f64 x x)`
-	-	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
-	-	`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

36.0ms

512×

valid

Compiler

Compiled 142 to 32 computations (77.5% saved)

Precisions

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

ival-mult: 7.0ms (51.2% of total)

ival-add: 6.0ms (43.9% of total)

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

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

preprocess70.0ms (1.1%)

Memory

-5.1MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	64	67
2	171	47
3	517	45
4	1117	45
5	1322	45
6	1332	45
0	7	15
0	12	15
1	18	13
2	28	9
3	40	9
4	48	9
5	51	9
0	51	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Outputs
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	192	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
cost-diff	512	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	41
0	12	41
1	18	37
2	28	33
3	40	33
4	48	33
5	51	33
0	51	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y

Outputs
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize18.0ms (0.3%)

Memory

20.8MiB live, 20.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.05859375	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 84 to 16 computations (81% saved)

Precisions

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

ival-add: 3.0ms (47% of total)

ival-mult: 3.0ms (47% of total)

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

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

series15.0ms (0.2%)

Memory

-29.8MiB live, 11.5MiB allocated

Counts

5 → 96

Calls

Call 1

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

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (.f64 x x) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
3.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))

simplify188.0ms (2.9%)

Memory

36.3MiB live, 150.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	588
1	86	588
2	217	588
3	853	588
4	2015	588
5	2654	588
6	4196	588
7	5663	588
8	6651	588
9	7930	588
0	8051	534

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 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)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 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)
(pow y 2)
(pow y 2)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 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 y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (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 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (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)

Outputs
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 y y) #s(literal 2 binary64))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 y y) #s(literal 2 binary64))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 y y) #s(literal 2 binary64))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(*.f64 x x)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)

rewrite287.0ms (4.4%)

Memory

-25.3MiB live, 128.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	39
0	12	39
1	54	35
2	517	29
3	7592	29
0	8199	26

Stop Event

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

Counts

5 → 337

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)

Outputs
#<batchref>
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eval92.0ms (1.4%)

Memory: 29.6MiB live, 71.2MiB allocated
Compiler: Compiled 12 413 to 1 094 computations (91.2% saved)

prune37.0ms (0.6%)

Memory

-6.1MiB live, 29.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	461	8	469
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	462	8	470

Accuracy

100.0%

Counts

470 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.7%	(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (.f64 x x)))
▶	99.9%	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
▶	99.9%	(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
	99.9%	(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	23.9%	(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
▶	79.7%	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
▶	58.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 260 to 156 computations (40% saved)

simplify290.0ms (4.5%)

Memory

-19.5MiB live, 115.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	192	(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
cost-diff	576	(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
cost-diff	64	(fma.f64 #s(literal 2 binary64) y y)
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
cost-diff	128	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	384	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	196
0	50	188
1	86	176
2	139	176
3	282	176
4	624	176
5	1176	176
6	2317	176
7	4222	176
8	4699	176
9	4827	176
10	4856	176
11	4856	176
12	7598	176
0	8042	171

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
y
(fma.f64 #s(literal 2 binary64) y y)
#s(literal 2 binary64)
(*.f64 x x)
x
(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))
x
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))
#s(literal 1 binary64)
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 y x)
(-.f64 y x)
(*.f64 y y)

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

localize93.0ms (1.4%)

Memory

-1.4MiB live, 37.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
accuracy	0.6033055498758287	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))
accuracy	8.839800402434323	(-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	41.51576751428961	(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y))
accuracy	0	(fma.f64 #s(literal 2 binary64) y y)
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
accuracy	26.715516029363062	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	26.720671964638502	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.0390625	(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))

Samples

73.0ms

256×

valid

Compiler

Compiled 390 to 58 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-add: 39.0ms (66.7% of total)

ival-mult: 10.0ms (17.1% of total)

ival-pow: 5.0ms (8.6% of total)

ival-sub: 2.0ms (3.4% of total)

ival-div: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

15 → 300

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (/ 1 (* (+ y x) (- y x))))
3.0ms	y	@	0	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (/ 1 (* (+ y x) (- y x))))
3.0ms	y	@	inf	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (/ 1 (* (+ y x) (- y x))))
3.0ms	y	@	-inf	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (/ 1 (* (+ y x) (- y x))))
3.0ms	x	@	inf	((+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (* y y) (+ (* 2 y) y) (+ (* y (+ (* 2 y) y)) (* x x)) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (/ 1 (* (+ y x) (- y x))))

simplify144.0ms (2.2%)

Memory

-5.9MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	364	2602
1	1168	2536
2	4905	2525
0	8726	2381

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(- (* y (+ x (* -1 x))) (* -1 (pow x 2)))
(- (* y (+ x (+ (* -1 x) (* y (+ 2 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))))) (* -1 (pow x 2)))
(- (* y (+ x (+ (* -1 x) (* y (+ 2 (+ (/ (* y (* (+ 1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))) (+ x (* -1 x)))) (pow x 2)) (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))))) (* -1 (pow x 2)))
(pow x 2)
(- (* y (+ x (* -1 x))) (* -1 (pow x 2)))
(- (* y (+ x (+ (* -1 x) (* y (+ 3 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))))) (* -1 (pow x 2)))
(- (* y (+ x (+ (* -1 x) (* y (+ 3 (+ (/ (* y (* (+ 1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))) (+ x (* -1 x)))) (pow x 2)) (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))))) (* -1 (pow x 2)))
(* -1 (pow x 4))
(- (pow y 4) (pow x 4))
(- (pow y 4) (pow x 4))
(- (pow y 4) (pow x 4))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(/ -1 (pow x 2))
(- (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(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))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* -1 (pow (+ x (* -1 x)) 2))) (pow y 2)))) (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (- (+ 2 (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (* -1 (pow (+ x (* -1 x)) 2))))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow (+ x (* -1 x)) 2) (pow y 2))) (/ x y))))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 2)) (* -1 (pow (+ x (* -1 x)) 2))) (pow y 2)))) (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (* -1 (pow (+ x (* -1 x)) 2))))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow (+ x (* -1 x)) 2) (pow y 2))) (/ x y))))))
(pow y 4)
(* (pow y 4) (+ 1 (* -1 (/ (pow x 4) (pow y 4)))))
(* (pow y 4) (+ 1 (* -1 (/ (pow x 4) (pow y 4)))))
(* (pow y 4) (+ 1 (* -1 (/ (pow x 4) (pow y 4)))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (+ x (* -1 x)) y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* -1 (pow (+ x (* -1 x)) 2))) (pow y 2)))) (+ (* -1 (/ x y)) (/ x y))) (pow y 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (* -1 (pow (+ x (* -1 x)) 2))))) (* (pow x 2) (+ x (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow (+ x (* -1 x)) 2) (pow y 2))) (/ x y))))) (pow y 2))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(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))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 2 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 2 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (pow x 2) (pow (+ x (* -1 x)) 2)) y)))) y))))
(* (pow y 2) (+ 3 (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* (+ x (* -1 x)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) (* (pow x 2) (+ x (* -1 x)))) y)) (+ (pow x 2) (pow (+ x (* -1 x)) 2))) y)))) y))))
(pow y 4)
(* (pow y 4) (+ 1 (* -1 (/ (pow x 4) (pow y 4)))))
(* (pow y 4) (+ 1 (* -1 (/ (pow x 4) (pow y 4)))))
(* (pow y 4) (+ 1 (* -1 (/ (pow x 4) (pow y 4)))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(/ 1 (pow y 2))
(/ (+ 1 (* -1 (/ (+ x (* -1 x)) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow (+ x (* -1 x)) 2) y))) (* -1 (+ x (* -1 x)))) y))) (pow y 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ x (* -1 x))) y)) (/ (* (+ x (* -1 x)) (+ (* -1 (pow x 2)) (* -1 (pow (+ x (* -1 x)) 2)))) y)) (+ (* -1 (pow x 2)) (* -1 (pow (+ x (* -1 x)) 2)))) y)) (* -1 (+ x (* -1 x)))) y))) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (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)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(* y (+ y (* 2 y)))
(+ (* y (+ y (* 2 y))) (pow x 2))
(+ (* y (+ y (* 2 y))) (pow x 2))
(+ (* y (+ y (* 2 y))) (pow x 2))
(* 2 (pow y 2))
(+ (* -1 (* x (+ y (* -1 y)))) (* 2 (pow y 2)))
(+ (* 2 (pow y 2)) (* x (- (* x (- 1 (* -1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(+ (* 2 (pow y 2)) (* x (- (* x (- (+ 1 (* -1 (/ (* x (* (+ y (* -1 y)) (- 1 (* -1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) (pow y 2)))) (* -1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* -1 (* x (+ y (* -1 y)))) (+ (* 2 (pow y 2)) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (* x (- (* x (- 1 (* -1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (* x (- (* x (- (+ 1 (* -1 (/ (* x (* (+ y (* -1 y)) (- 1 (* -1 (/ (pow (+ y (* -1 y)) 2) (pow y 2)))))) (pow y 2)))) (* -1 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) (+ y (* -1 y)))) (pow y 2)))
(pow y 4)
(+ (* -1 (pow x 4)) (pow y 4))
(+ (* -1 (pow x 4)) (pow y 4))
(+ (* -1 (pow x 4)) (pow y 4))
(/ 1 (pow y 2))
(+ (/ 1 (pow y 2)) (/ (pow x 2) (pow y 4)))
(+ (* (pow x 2) (+ (/ 1 (pow y 4)) (/ (pow x 2) (pow y 6)))) (/ 1 (pow y 2)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (pow y 6)) (/ (pow x 2) (pow y 8)))) (/ 1 (pow y 4)))) (/ 1 (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (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 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow (+ y (* -1 y)) 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (+ (/ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (pow x 3)) (+ (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3)) (/ (pow (+ y (* -1 y)) 2) (pow x 2)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow (+ y (* -1 y)) 2) (pow x 2))))))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (+ (/ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (pow x 3)) (+ (/ (* (pow y 2) (+ y (* -1 y))) (pow x 3)) (+ (/ (pow y 2) (pow x 2)) (/ (pow (+ y (* -1 y)) 2) (pow x 2))))))))))
(* -1 (pow x 4))
(* (pow x 4) (- (/ (pow y 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow y 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow y 4) (pow x 4)) 1))
(/ -1 (pow x 2))
(/ (- (* -1 (/ (+ y (* -1 y)) x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) (pow x 2))) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (pow x 2))
(/ (- (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow (+ y (* -1 y)) 2) (pow x 2))))))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (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 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* y (+ y (* 2 y))) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2)) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2))) x)))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(* -1 (pow x 4))
(* (pow x 4) (- (/ (pow y 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow y 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow y 4) (pow x 4)) 1))
(/ -1 (pow x 2))
(/ (- (+ (* -1 (/ y x)) (/ y x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (+ (/ (pow y 2) x) (/ (pow (+ y (* -1 y)) 2) x)) (+ y (* -1 y))) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x) (/ (* (pow y 2) (+ y (* -1 y))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)) (+ y (* -1 y))) x)) 1) (pow x 2))

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

rewrite219.0ms (3.4%)

Memory

21.0MiB live, 131.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	155
0	50	130
1	248	112
2	2196	112
0	8075	108

Stop Event

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

Counts

15 → 1 135

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 y y)
(fma.f64 #s(literal 2 binary64) y y)
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y))
(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))

Outputs
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eval328.0ms (5.1%)

Memory: 15.4MiB live, 233.4MiB allocated
Compiler: Compiled 56 969 to 2 133 computations (96.3% saved)

prune84.0ms (1.3%)

Memory

-22.8MiB live, 107.3MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1 515	6	1 521
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 521	8	1 529

Accuracy

100.0%

Counts

1 529 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
	88.0%	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)))
▶	60.4%	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
▶	99.9%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶	79.7%	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
	15.0%	(+.f64 (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
▶	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
✓	58.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 273 to 155 computations (43.2% saved)

simplify5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
cost-diff	0	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
cost-diff	-128	(+.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	384	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	144
0	40	139
1	63	130
2	76	130
3	81	130
0	81	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
y
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
y
#s(literal 3 binary64)
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
y
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x

Outputs
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
y
(*.f64 #s(literal 2 binary64) y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (.f64 #s(literal 3 binary64) y) y)
(*.f64 y y)
y
#s(literal 3 binary64)
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
y
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) (.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x

localize154.0ms (2.4%)

Memory

-36.2MiB live, 62.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.0703125	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.0390625	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
accuracy	25.352292146006725	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	0.03515625	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
accuracy	26.715516029363062	#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0.14453125	(.f64 (.f64 y y) #s(literal 3 binary64))
accuracy	25.338782244446637	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.0390625	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))

Samples

140.0ms

256×

valid

Compiler

Compiled 278 to 47 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 118.0ms (92.5% of total)

ival-add: 9.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

14 → 264

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (+ (* (* 3 y) y) (* x x)) (* 3 y))
2.0ms	y	@	-inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (+ (* (* 3 y) y) (* x x)) (* 3 y))
1.0ms	y	@	0	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (+ (* (* 3 y) y) (* x x)) (* 3 y))
1.0ms	x	@	inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (+ (* (* 3 y) y) (* x x)) (* 3 y))
1.0ms	x	@	-inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* y y) 3) (* y y) (+ (* y y) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y)) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (* y y) (* x x)) (+ (* (* 3 y) y) (* x x)) (* 3 y))

simplify179.0ms (2.8%)

Memory

12.8MiB live, 171.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	1644
1	99	1644
2	239	1644
3	930	1644
4	2198	1644
5	2841	1644
6	4431	1644
7	5972	1644
8	6950	1644
0	8108	1500

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (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))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(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))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (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))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(* 3 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(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))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (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)
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow x 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (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 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (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) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (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 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (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) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))

Outputs
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 x x)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) y)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 y y)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 x x)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))

rewrite204.0ms (3.1%)

Memory

17.3MiB live, 360.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	124
0	40	119
1	166	105
2	1345	105
0	8622	102

Stop Event

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

Counts

14 → 1 016

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(+.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(.f64 (.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(*.f64 #s(literal 2 binary64) y)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)

Outputs
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eval332.0ms (5.1%)

Memory: -27.6MiB live, 453.6MiB allocated
Compiler: Compiled 43 844 to 1 845 computations (95.8% saved)

prune38.0ms (0.6%)

Memory

0.3MiB live, 122.3MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 331	3	1 334
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	1 332	10	1 342

Accuracy

100.0%

Counts

1 342 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.4%	(fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
▶	88.0%	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)))
✓	99.9%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶	80.3%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
✓	79.7%	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
▶	15.0%	(+.f64 (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
✓	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
▶	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	58.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 289 to 161 computations (44.3% saved)

simplify227.0ms (3.5%)

Memory

-16.5MiB live, 313.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	#s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64)))
cost-diff	192	(+.f64 (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
cost-diff	704	(fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y))
cost-diff	-128	(+.f64 y y)
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff	0	(fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
cost-diff	-128	(+.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 x x))
cost-diff	0	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) y)
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)))
cost-diff	704	(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
cost-diff	1024	(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	280
0	68	277
1	112	274
2	181	270
3	302	270
4	605	252
5	1087	252
6	2718	252
7	6955	252
0	8309	239

Stop Event

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

Calls

Call 1

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

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

localize211.0ms (3.3%)

Memory

8.5MiB live, 204.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(+.f64 (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
accuracy	0.6033055498758287	(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))
accuracy	25.58433282667316	#s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64)))
accuracy	41.51576751428961	(fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 y y)
accuracy	0.0390625	(fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	25.352292146006725	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.0390625	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
accuracy	26.70670206943206	#s(approx (+ (* y y) (* x x)) (*.f64 x x))
accuracy	0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.12109375	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	25.338782244446637	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
accuracy	0.0390625	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)))
accuracy	0.1015625	(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
accuracy	3.369578669228706	(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
accuracy	4.235078216335506	(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)

Samples

183.0ms

256×

valid

Compiler

Compiled 510 to 80 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-pow: 127.0ms (76.9% of total)

ival-mult: 18.0ms (10.9% of total)

ival-add: 14.0ms (8.5% of total)

ival-div: 3.0ms (1.8% of total)

ival-sub: 2.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.6%)

Memory

23.1MiB live, 62.3MiB allocated

Counts

20 → 396

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 3 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((* (+ (* (/ y x) (/ y x)) 1) x) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (* (+ y y) y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (+ (* (/ y x) (/ y x)) 1) (/ 1 (* (+ y x) (- y x))))
3.0ms	y	@	inf	((* (+ (* (/ y x) (/ y x)) 1) x) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (* (+ y y) y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (+ (* (/ y x) (/ y x)) 1) (/ 1 (* (+ y x) (- y x))))
3.0ms	y	@	-inf	((* (+ (* (/ y x) (/ y x)) 1) x) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (* (+ y y) y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (+ (* (/ y x) (/ y x)) 1) (/ 1 (* (+ y x) (- y x))))
2.0ms	y	@	0	((* (+ (* (/ y x) (/ y x)) 1) x) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (* (+ y y) y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (+ (* (/ y x) (/ y x)) 1) (/ 1 (* (+ y x) (- y x))))
2.0ms	x	@	inf	((* (+ (* (/ y x) (/ y x)) 1) x) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (+ (* (* 2 y) y) (+ (* y y) (* x x))) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* x x) (+ y y) (+ (* (+ y y) y) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y y) (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (+ (+ (* (- (pow y 4) (pow x 4)) (/ 1 (* (+ y x) (- y x)))) (* y y)) (* y y)) (- (pow y 4) (pow x 4)) (pow y 4) (+ (* (/ y x) (/ y x)) 1) (/ 1 (* (+ y x) (- y x))))

simplify111.0ms (1.7%)

Memory

-17.6MiB live, 173.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	3506
1	1176	3262
2	4836	3161
0	8219	2963

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 393

Calls

Call 1

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

rewrite211.0ms (3.3%)

Memory

12.0MiB live, 380.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	225
0	68	215
1	298	208
2	2288	208
0	8631	196

Stop Event

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

Counts

20 → 606

Calls

Call 1

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

Outputs
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eval150.0ms (2.3%)

Memory: -16.1MiB live, 420.0MiB allocated
Compiler: Compiled 35 117 to 1 912 computations (94.6% saved)

prune125.0ms (1.9%)

Memory

-3.3MiB live, 119.4MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1 103	2	1 105
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	1 105	10	1 115

Accuracy

100.0%

Counts

1 115 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.4%	(fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓	99.9%	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
	77.7%	(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x)))
✓	99.9%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
✓	80.3%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
✓	79.7%	(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
	18.1%	(+.f64 (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) #s(approx (/ 1 (* (+ y x) (- y x))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 y y)) (*.f64 y y))
✓	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
✓	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	58.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Compiler

Compiled 552 to 190 computations (65.6% saved)

regimes38.0ms (0.6%)

Memory

33.1MiB live, 72.7MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
(fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) x) x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)))
(+.f64 (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) #s(approx (/ 1 (* (+ y x) (- y x))) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 y y)) (*.f64 y y))
(+.f64 (fma.f64 #s(approx (- (pow y 4) (pow x 4)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (.f64 x x)))
(+.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (.f64 y y)) (*.f64 y y))

Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))

Calls

5 calls:

12.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
6.0ms	y
6.0ms	x
6.0ms	(*.f64 y y)
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes199.0ms (3.1%)

Memory

-0.6MiB live, 40.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
(fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 y (fma.f64 #s(literal 2 binary64) y y) (*.f64 x x))

Outputs
(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))

Calls

5 calls:

183.0ms	(*.f64 y y)
4.0ms	x
4.0ms	y
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes186.0ms (2.9%)

Memory

-4.7MiB live, 34.9MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))
(fma.f64 (+.f64 y y) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))

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

Calls

5 calls:

174.0ms	(*.f64 y y)
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
90.7%	2	`x`
85.0%	2	`y`
83.8%	3	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
90.7%	2	`(*.f64 x x)`
85.0%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes192.0ms (3%)

Memory

-23.8MiB live, 15.7MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x)))

Calls

2 calls:

189.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
90.7%	2	`x`
90.7%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))
(+.f64 #s(approx (+ (+ (* x x) (* y y)) (* y y)) (.f64 x x)) (.f64 y y))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
(fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x)))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
90.4%	2	`x`
90.4%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))

#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 y y) #s(literal 3 binary64)))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
85.1%	2	`x`
85.1%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

-24.8MiB live, 14.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Calls

2 calls:

2.0ms	(*.f64 x x)
2.0ms	x

Results

Accuracy	Segments	Branch
85.1%	2	`x`
85.1%	2	`(*.f64 x x)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

29.1MiB live, 29.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	(*.f64 y y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
58.2%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
58.2%	1	`y`
58.2%	1	`(*.f64 y y)`
58.2%	1	`x`
58.2%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch12.0ms (0.2%)

Memory

-2.6MiB live, 38.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.5558168999651828e-290	2.554042125329578e-287

Samples

5.0ms

128×

valid

Compiler

Compiled 258 to 164 computations (36.4% saved)

Precisions

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

ival-add: 2.0ms (75.1% of total)

ival-mult: 1.0ms (37.5% of total)

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

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

bsearch2.0ms (0%)

Memory

-34.7MiB live, 4.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.5558168999651828e-290	2.554042125329578e-287

Compiler

Compiled 298 to 180 computations (39.6% saved)

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.5558168999651828e-290	2.554042125329578e-287

Compiler

Compiled 314 to 180 computations (42.7% saved)

bsearch15.0ms (0.2%)

Memory

5.9MiB live, 44.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1419975028006.8562	7.033702711679282e+22

Samples

7.0ms

160×

valid

Compiler

Compiled 398 to 222 computations (44.2% saved)

Precisions

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

ival-add: 2.0ms (60.8% of total)

ival-mult: 1.0ms (30.4% of total)

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

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

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1419975028006.8562	7.033702711679282e+22

Compiler

Compiled 398 to 222 computations (44.2% saved)

simplify33.0ms (0.5%)

Memory

-17.3MiB live, 74.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	256
1	40	256

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (.f64 #s(literal 3 binary64) (.f64 y y)))
(if (<=.f64 (.f64 x x) #s(literal 3785425607467645/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512 binary64)) (fma.f64 (+.f64 y y) y #s(approx (+ ( y y) (* x x)) (.f64 y y))) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3785425607467645/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3785425607467645/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3200000000000 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 3200000000000 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 y y) #s(literal 3 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 3785425607467645/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512 binary64)) (fma.f64 (+.f64 y y) y #s(approx (+ ( y y) (* x x)) (.f64 y y))) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3785425607467645/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3785425607467645/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) (fma.f64 y y #s(approx (+ (+ (* x x) (* y y)) (* y y)) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 3200000000000 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 y y) #s(literal 3 binary64))) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 (.f64 x x) #s(literal 3200000000000 binary64)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 x x))

soundness1.0s (15.9%)

Memory

41.3MiB live, 950.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	39
0	12	39
1	54	35
2	517	29
3	7592	29
0	8199	26
0	30	588
1	86	588
2	217	588
3	853	588
4	2015	588
5	2654	588
6	4196	588
7	5663	588
8	6651	588
9	7930	588
0	8051	534
0	35	1644
1	99	1644
2	239	1644
3	930	1644
4	2198	1644
5	2841	1644
6	4431	1644
7	5972	1644
8	6950	1644
0	8108	1500
0	29	155
0	50	130
1	248	112
2	2196	112
0	8075	108
0	24	124
0	40	119
1	166	105
2	1345	105
0	8622	102
0	364	2602
1	1168	2536
2	4905	2525
0	8726	2381

Stop Event

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

Compiler

Compiled 647 to 205 computations (68.3% saved)

preprocess66.0ms (1%)

Memory

-17.4MiB live, 185.4MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 652 to 148 computations (77.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample677.0ms (10.5%)

explain108.0ms (1.7%)

preprocess70.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize18.0ms (0.3%)

series15.0ms (0.2%)

simplify188.0ms (2.9%)

rewrite287.0ms (4.4%)

eval92.0ms (1.4%)

prune37.0ms (0.6%)

simplify290.0ms (4.5%)

localize93.0ms (1.4%)

series29.0ms (0.4%)

simplify144.0ms (2.2%)

rewrite219.0ms (3.4%)

eval328.0ms (5.1%)

prune84.0ms (1.3%)

simplify5.0ms (0.1%)

localize154.0ms (2.4%)

series15.0ms (0.2%)

simplify179.0ms (2.8%)

rewrite204.0ms (3.1%)

eval332.0ms (5.1%)

prune38.0ms (0.6%)

simplify227.0ms (3.5%)

localize211.0ms (3.3%)

series36.0ms (0.6%)

simplify111.0ms (1.7%)

rewrite211.0ms (3.3%)

eval150.0ms (2.3%)

prune125.0ms (1.9%)

regimes38.0ms (0.6%)

regimes199.0ms (3.1%)

regimes186.0ms (2.9%)

regimes192.0ms (3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

simplify33.0ms (0.5%)

soundness1.0s (15.9%)

preprocess66.0ms (1%)

end0.0ms (0%)

Profiling