Metrics for From Rump in a 1983 paper

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample1.3s (28.3%)

Memory

7.4MiB live, 1 552.3MiB allocated

Samples

782.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 541.0ms

ival-pow: 204.0ms (37.7% of total)

ival-mult: 141.0ms (26.1% of total)

ival-add: 70.0ms (12.9% of total)

ival-==: 57.0ms (10.5% of total)

ival-sub: 36.0ms (6.7% of total)

exact: 19.0ms (3.5% of total)

ival-and: 10.0ms (1.8% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain304.0ms (6.7%)

Memory

-17.4MiB live, 156.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
256	0	-	-	`(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))`
0	0	-	-	`(.f64 #s(literal 2 binary64) (.f64 y y))`
0	0	-	-	`#s(literal 9 binary64)`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 2 binary64)`
0	1	(10864.0 18817.0)	-	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
0	0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	0	-	-	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
0	0	-	-	`(*.f64 y y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`	cancellation	1	0
`-.f64`	`(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
2	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

66.0ms

512×

valid

Compiler

Compiled 117 to 40 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 8.0ms (36.2% of total)

ival-pow: 8.0ms (36.2% of total)

ival-sub: 2.0ms (9% of total)

ival-add: 2.0ms (9% of total)

exact: 1.0ms (4.5% of total)

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

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

preprocess92.0ms (2%)

Memory

18.0MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Rules

584×	`lower-fma.f64`
584×	`lower-fma.f32`
304×	`sub-neg`
286×	`cancel-sign-sub-inv`
248×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	81
1	78	79
2	220	79
3	508	79
4	958	79
5	1355	79
6	1525	79
7	1596	79
8	1603	79
0	12	15
0	19	15
1	28	15
2	55	15
3	94	15
4	181	15
5	352	15
6	541	15
7	630	15
8	670	15
9	672	15
0	672	14

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Outputs

(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))

(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.8%	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify69.0ms (1.5%)

Memory

-13.3MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
cost-diff	128	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Rules

584×	`lower-fma.f64`
584×	`lower-fma.f32`
248×	`lower-*.f32`
242×	`lower-*.f64`
136×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	19	48
1	28	48
2	55	48
3	94	48
4	181	48
5	352	48
6	541	48
7	630	48
8	670	48
9	672	48
0	672	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(.f64 #s(literal 2 binary64) (.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)

Outputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)

localize83.0ms (1.8%)

Memory

27.7MiB live, 65.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	0	(.f64 #s(literal 2 binary64) (.f64 y y))
accuracy	23.000000171982702	(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow: 5.0ms (41.8% of total)

ival-mult: 4.0ms (33.5% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.5%)

Memory

-14.9MiB live, 23.2MiB allocated

Counts

6 → 96

Calls

Call 1

Inputs
#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt (- (* 2 (pow y 2)) (pow y 4)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor -inf y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor -inf y) (#s(alt (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) (patch (+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 4)) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 4)) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 4)) (pow y 4)) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4))))) (taylor inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4))))) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 4)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1)) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor inf y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor -inf y) (#s(alt (.f64 #s(literal 2 binary64) (.f64 y y)) (patch (.f64 #s(literal 2 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
1.0ms	x	@	0	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
1.0ms	y	@	0	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
0.0ms	y	@	0	(- (* 9 (pow x 4)) (pow y 4))
0.0ms	y	@	inf	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))

simplify163.0ms (3.6%)

Memory

15.8MiB live, 207.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 406×	`lower-fma.f64`
13 406×	`lower-fma.f32`
4 158×	`lower-*.f64`
4 158×	`lower-*.f32`
1 326×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	667
1	97	667
2	197	667
3	398	667
4	1025	667
5	3454	667
6	7267	667
0	8065	651

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(* 9 (pow x 4))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(* 2 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(- (* 9 (pow x 4)) (pow y 4))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(- (* 9 (pow x 4)) (pow y 4))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(- (* 9 (pow x 4)) (pow y 4))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(fma.f64 (.f64 (.f64 y y) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite280.0ms (6.1%)

Memory

-15.5MiB live, 262.2MiB allocated

Rules

8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
4 870×	`lower-*.f32`
4 864×	`lower-*.f64`
2 516×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	19	40
1	64	40
2	471	40
3	6825	40
0	8077	39

Stop Event

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

Counts

6 → 250

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 y y)

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (neg.f64 (.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))) (fma.f64 (.f64 (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))))) (fma.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (.f64 (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y y) y)) y (.f64 (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (neg.f64 (.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))))) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y y) y)) y (.f64 (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (neg.f64 (.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (neg.f64 (.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)))))) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (neg.f64 (.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 y y) y)) y (.f64 (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (neg.f64 (.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))))) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))) (.f64 (.f64 y y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))) (.f64 (.f64 y y) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))) (.f64 (.f64 y y) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)))) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (neg.f64 (.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (neg.f64 (.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)))) (fma.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))) (.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 y y)))))
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(fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y)))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 y y) y)) y) (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (*.f64 y y) y) y))))))))
(fma.f64 (.f64 y y) (.f64 (neg.f64 y) y) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))
(fma.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal -1 binary64) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
(fma.f64 y (.f64 y (.f64 (neg.f64 y) y)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))
(fma.f64 y (neg.f64 (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (/.f64 (.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y)))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 y y) y)) y) (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (*.f64 y y) y) y))))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (*.f64 y y) y) y)))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) (/.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y)))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 9 binary64) (.f64 (neg.f64 y) (.f64 (.f64 y y) y)))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9 binary64))) (.f64 (neg.f64 y) (.f64 (.f64 y y) y)))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (*.f64 y y) y) y)))))
(fma.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (neg.f64 y) (.f64 (.f64 y y) y)))
(-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x x) #s(literal 0 binary64)) (.f64 (.f64 (.f64 y y) y) y))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x)))
(-.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y)))) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (*.f64 y y) y) y))))
(-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y))))))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 y y) y)) y) (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (*.f64 y y) y) y)))))))
(-.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (.f64 (.f64 (*.f64 y y) y) y))
(+.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (*.f64 y y) y) y)))))
(+.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (.f64 y y) y) y))))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y)) (.f64 (.f64 y y) y)) y) (fma.f64 (.f64 (.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (.f64 x x) (.f64 (.f64 (.f64 y y) y) (.f64 y (fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (*.f64 y y) y) y))))))))
(+.f64 (.f64 (neg.f64 y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
(+.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x) (.f64 (neg.f64 y) (.f64 (*.f64 y y) y)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 9 binary64))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 9 binary64))))
(.f64 #s(literal 9 binary64) (.f64 (.f64 (.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 y (.f64 #s(literal 2 binary64) y))
(*.f64 y y)
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval53.0ms (1.2%)

Memory: 10.6MiB live, 125.7MiB allocated
Compiler: Compiled 21 763 to 774 computations (96.4% saved)

prune40.0ms (0.9%)

Memory

4.8MiB live, 82.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	343	3	346
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	344	3	347

Accuracy

100.0%

Counts

347 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
▶	1.5%	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)))
▶	1.5%	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y)))

Status

Accuracy

Program

▶

100.0%

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))

▶

1.5%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (*.f64 y y)))

▶

1.5%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (*.f64 y y) y) (neg.f64 y)))

Compiler

Compiled 43 to 25 computations (41.9% saved)

simplify63.0ms (1.4%)

Memory

14.8MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y y #s(literal -2 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) y)
cost-diff	0	(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y)))

Rules

1 344×	`lower-fma.f32`
1 338×	`lower-fma.f64`
672×	`lower-*.f32`
654×	`lower-*.f64`
328×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	145
0	42	145
1	86	139
2	198	127
3	375	123
4	595	123
5	873	123
6	1163	123
7	1358	123
8	1540	123
9	1633	123
10	1645	123
11	1645	123
12	1647	123
0	1647	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y)))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(.f64 (.f64 y y) y)
(*.f64 y y)
y
(neg.f64 y)
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
y
#s(literal 2 binary64)
(*.f64 y y)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) y) y)
(.f64 (.f64 y y) y)
(*.f64 y y)
y
(neg.f64 y)
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
y
#s(literal 2 binary64)
(*.f64 y y)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal 9 binary64))))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 9 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)

localize75.0ms (1.6%)

Memory

1.0MiB live, 155.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 x x) #s(literal 9 binary64))
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	0	(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 y)
accuracy	63.038054683620885	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)))
accuracy	0	(.f64 (.f64 y y) y)
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 y)
accuracy	63.0380546836278	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y)))

Samples

45.0ms

256×

valid

Compiler

Compiled 133 to 28 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 17.0ms (52.2% of total)

ival-pow: 6.0ms (18.4% of total)

ival-add: 4.0ms (12.3% of total)

ival-sub: 3.0ms (9.2% of total)

ival-neg: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-10.5MiB live, 27.8MiB allocated

Counts

13 → 192

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (patch (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (patch (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (- (* 2 (pow y 2)) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (.f64 y y) y) (neg.f64 y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor 0 y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) (patch (.f64 (.f64 (.f64 y y) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (.f64 (.f64 y y) y) (patch (.f64 (.f64 y y) y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (pow y 2)) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))) #<representation binary64>) () ())) ())
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#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (patch (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (patch (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (patch (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) (patch (fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 9 binary64)) (patch (.f64 (.f64 x x) #s(literal 9 binary64)) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* (* x x) 9) x) x))
1.0ms	y	@	0	(* (* (* y y) y) (neg y))
0.0ms	y	@	0	(* (+ (* (neg y) y) 2) (* y y))
0.0ms	y	@	inf	(* (* (* y y) y) (neg y))
0.0ms	y	@	inf	(+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* (* x x) 9) x) x))

simplify142.0ms (3.1%)

Memory

-12.0MiB live, 225.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 596×	`lower-fma.f64`
10 596×	`lower-fma.f32`
3 158×	`lower-*.f64`
3 158×	`lower-*.f32`
1 648×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	1355
1	125	1346
2	297	1346
3	823	1346
4	2662	1346
5	7629	1346
0	8040	1289

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
2
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
-2
(- (pow y 2) 2)
(- (pow y 2) 2)
(- (pow y 2) 2)
(pow y 2)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(pow y 2)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
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rewrite192.0ms (4.2%)

Memory

43.9MiB live, 350.8MiB allocated

Rules

13 244×	`lower-fma.f32`
13 238×	`lower-fma.f64`
4 974×	`lower-*.f32`
4 956×	`lower-*.f64`
3 694×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	115
0	42	109
1	162	101
2	1148	99
0	8826	99

Stop Event

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

Counts

13 → 409

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y)))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(.f64 (.f64 y y) y)
(*.f64 y y)
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
(*.f64 (neg.f64 y) y)
(fma.f64 y y #s(literal -2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 9 binary64))

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
(.f64 (.f64 (*.f64 (neg.f64 y) y) y) y)
(.f64 (.f64 (neg.f64 y) (*.f64 y y)) y)
(.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 y y) y) y))
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(.f64 (neg.f64 y) (.f64 (*.f64 y y) y))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(.f64 y (.f64 y (*.f64 (neg.f64 y) y)))
(.f64 y (.f64 (neg.f64 y) (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 y y) y) y)))
(/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y) (.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 y y) y) y)))))
(neg.f64 (.f64 (.f64 (*.f64 y y) y) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 y y) y) y))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))) y))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (*.f64 (neg.f64 y) y) y)) (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (neg.f64 y)) (.f64 y (*.f64 (neg.f64 y) y))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
(.f64 (pow.f64 (.f64 y y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (.f64 y y) y)
(.f64 y (.f64 y y))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 y #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) (.f64 (neg.f64 y) (.f64 y y))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) (.f64 (neg.f64 y) y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) (.f64 y y))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal -2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 8 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64)) (.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (*.f64 y y) y) y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal -2 binary64))))
(.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(.f64 (.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (*.f64 y y) y) y #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) (neg.f64 y)) y)
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 y (.f64 (fma.f64 y y #s(literal -2 binary64)) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (neg.f64 y) y) y) y (.f64 #s(literal -2 binary64) (.f64 y y)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y) (fma.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y y) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 y) y)))))))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 (neg.f64 y) y))
(.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y))
(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(.f64 y (.f64 (neg.f64 y) (fma.f64 y y #s(literal -2 binary64))))
(.f64 y (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y))) (-.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 y) y)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)))
(/.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y y) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y)) (.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y y) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y)) (.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 y) y)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)) (.f64 y y))) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 8 binary64)) (.f64 y y))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)) (.f64 (neg.f64 y) y))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64)) (.f64 (neg.f64 y) y))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 y (.f64 (fma.f64 y y #s(literal -2 binary64)) y)))) (neg.f64 (fma.f64 (.f64 (.f64 (neg.f64 y) y) y) y (.f64 #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y) (fma.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y y) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) y)))))))
(/.f64 (.f64 (.f64 y (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64))) (.f64 (neg.f64 y) (.f64 y y))) (*.f64 (fma.f64 y y #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 y (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64))) (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y #s(literal 2 binary64)) y))
(/.f64 (.f64 (.f64 y (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64))) (.f64 (neg.f64 y) (.f64 y y))) (.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 y (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64))) (.f64 (neg.f64 y) y)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) y))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) (.f64 y (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 y) (.f64 y y)) (.f64 y (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64)))) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)))) (.f64 y (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64)))) (.f64 y (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)) (.f64 y y)) (fma.f64 (neg.f64 y) y #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 8 binary64)) (.f64 y y)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)) (.f64 (neg.f64 y) y)) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64)) (.f64 (neg.f64 y) y)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64))) (fma.f64 (neg.f64 y) y #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 8 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64))) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64))) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y y) y) y (.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 y (.f64 (fma.f64 y y #s(literal -2 binary64)) y))) (fma.f64 (.f64 (.f64 (neg.f64 y) y) y) y (.f64 #s(literal -2 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y) (-.f64 (.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) y) y) (.f64 (.f64 #s(literal 2 binary64) y) y)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y)) (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 y y) (fma.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y y) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 8 binary64)) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64)) (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) y) y #s(literal -4 binary64)) (.f64 (neg.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)))) (.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal -8 binary64)) (.f64 (neg.f64 y) y))))
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(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal -2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64)))))
(fma.f64 y y #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 y y) y) y) (-.f64 #s(literal -2 binary64) (*.f64 y y))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))))
(-.f64 (*.f64 y y) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 (.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64)))))
(+.f64 #s(literal -2 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal -2 binary64))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(.f64 x (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal 9 binary64) (.f64 x x))

eval172.0ms (3.8%)

Memory: -53.2MiB live, 207.1MiB allocated
Compiler: Compiled 20 873 to 1 159 computations (94.4% saved)

prune79.0ms (1.7%)

Memory

43.8MiB live, 112.6MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	685	1	686
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	687	2	689

Accuracy

100.0%

Counts

689 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))

▶

11.1%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify42.0ms (0.9%)

Memory

-20.7MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))

Rules

720×	`lower-fma.f64`
720×	`lower-fma.f32`
360×	`lower-*.f32`
356×	`lower-*.f64`
176×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
0	21	53
1	40	50
2	73	50
3	118	50
4	216	50
5	394	50
6	624	50
7	881	50
8	1018	50
9	1026	50
10	1036	50
11	1043	50
12	1045	50
0	1045	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))
(.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))
#s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)
y

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))
(.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))
#s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)
y

localize56.0ms (1.2%)

Memory

1.4MiB live, 78.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	63.01911743068786	#s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64))
accuracy	63.038054683620885	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))

Samples

46.0ms

256×

valid

Compiler

Compiled 38 to 18 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 30.0ms (77.7% of total)

ival-pow: 4.0ms (10.4% of total)

ival-add: 2.0ms (5.2% of total)

ival-sub: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 60

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt (- (* 2 (pow y 2)) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4)) (taylor 0 x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4)))) (taylor -inf x) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y))) (patch #s(approx (+ (- ( 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (.f64 y y)) (patch (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1 (pow y 2))) (taylor 0 y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (patch #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
0.0ms	y	@	inf	(* (+ (* (neg y) y) 2) (* y y))
0.0ms	x	@	inf	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
0.0ms	x	@	-inf	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))
0.0ms	y	@	-inf	(+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)))

simplify143.0ms (3.1%)

Memory

26.8MiB live, 180.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 796×	`lower-fma.f64`
10 796×	`lower-fma.f32`
4 350×	`lower-*.f64`
4 350×	`lower-*.f32`
1 938×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	479
1	79	470
2	174	470
3	396	470
4	1033	470
5	3515	470
6	6883	470
0	8290	454

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* 2 (pow y 2))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
2
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(+ 2 (* -1 (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)

Outputs
(- (* 2 (pow y 2)) (pow y 4))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* -1 (pow y 4))
(.f64 (.f64 (*.f64 y y) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 y (fma.f64 y y #s(literal -2 binary64))) (neg.f64 y))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(+ 2 (* -1 (pow y 2)))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(* (pow y 2) (- (* 2 (/ 1 (pow y 2))) 1))
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite238.0ms (5.2%)

Memory

-34.8MiB live, 164.8MiB allocated

Rules

11 162×	`lower-fma.f64`
11 162×	`lower-fma.f32`
5 342×	`lower-*.f32`
5 338×	`lower-*.f64`
2 938×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
0	21	51
1	89	48
2	628	48
0	8495	47

Stop Event

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

Counts

4 → 47

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))
(.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))
#s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64))
(*.f64 y y)

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) y) y))
(.f64 (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) y) y)
(.f64 (.f64 y y) #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)))
(.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y))
(.f64 y (.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) y))
#s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64))
(.f64 (.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(*.f64 (neg.f64 (neg.f64 y)) y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 y (.f64 #s(literal -1 binary64) (neg.f64 y)))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) y) y) #s(literal 0 binary64)) (-.f64 (.f64 y y) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 #s(literal 0 binary64) (.f64 y y)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 y y) y) y (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) #s(literal 0 binary64)))))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 (neg.f64 y) y)) (.f64 (.f64 y y) y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 (.f64 (neg.f64 y) y) y)) (.f64 (.f64 y y) y))
(/.f64 (.f64 (.f64 y y) y) y)
(/.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) y) y) (.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 y y) y) y))
(/.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 y y))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) y #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 y y))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 y (*.f64 #s(literal -1 binary64) (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 y (neg.f64 (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (.f64 (neg.f64 y) #s(literal 0 binary64)) (.f64 y y))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 y y))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))

eval10.0ms (0.2%)

Memory: 16.9MiB live, 16.9MiB allocated
Compiler: Compiled 1 195 to 133 computations (88.9% saved)

prune9.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Accuracy

100.0%

Counts

109 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))

✓

11.1%

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))

Compiler

Compiled 90 to 42 computations (53.3% saved)

regimes58.0ms (1.3%)

Memory

-32.1MiB live, 29.2MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (*.f64 y y) y) (neg.f64 y)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y)))
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))

Outputs
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))

Calls

5 calls:

51.0ms	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
2.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
100.0%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
100.0%	1	`(pow.f64 x #s(literal 4 binary64))`

Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Accuracy

Total -6.2b remaining (-10.8%)

Threshold costs -6.2b (-10.8%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (*.f64 (*.f64 y y) y) (neg.f64 y)))

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (*.f64 y y)))

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))

Calls

5 calls:

1.0ms	(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
11.1%	1	`x`
11.1%	1	`y`
11.1%	1	`(+.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y y)))`
11.1%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
11.1%	1	`(pow.f64 x #s(literal 4 binary64))`

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify8.0ms (0.2%)

Memory

-30.2MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	46
1	38	46
2	42	46
3	45	46
4	46	46

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))

#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))

Outputs
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x) x))
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) x) x))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 #s(approx (+ ( (neg y) y) 2) #s(literal 2 binary64)) (*.f64 y y)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 y y) #s(approx (+ (* (neg y) y) 2) #s(literal 2 binary64))))

soundness803.0ms (17.6%)

Memory

40.1MiB live, 311.2MiB allocated

Rules

13 406×	`lower-fma.f64`
13 406×	`lower-fma.f32`
10 596×	`lower-fma.f64`
10 596×	`lower-fma.f32`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	19	40
1	64	40
2	471	40
3	6825	40
0	8077	39
0	42	667
1	97	667
2	197	667
3	398	667
4	1025	667
5	3454	667
6	7267	667
0	8065	651
0	52	1355
1	125	1346
2	297	1346
3	823	1346
4	2662	1346
5	7629	1346
0	8040	1289

Stop Event

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

Compiler

Compiled 54 to 34 computations (37% saved)

preprocess51.0ms (1.1%)

Memory: -26.3MiB live, 50.8MiB allocated
Compiler: Compiled 88 to 54 computations (38.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	48
0	19	48
1	28	48
2	55	48
3	94	48
4	181	48
5	352	48
6	541	48
7	630	48
8	670	48
9	672	48
0	672	47

Iter	Nodes	Cost
0	12	48
0	19	48
1	28	48
2	55	48
3	94	48
4	181	48
5	352	48
6	541	48
7	630	48
8	670	48
9	672	48
0	672	47

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (28.3%)

explain304.0ms (6.7%)

preprocess92.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify69.0ms (1.5%)

localize83.0ms (1.8%)

series21.0ms (0.5%)

simplify163.0ms (3.6%)

rewrite280.0ms (6.1%)

eval53.0ms (1.2%)

prune40.0ms (0.9%)

simplify63.0ms (1.4%)

localize75.0ms (1.6%)

series13.0ms (0.3%)

simplify142.0ms (3.1%)

rewrite192.0ms (4.2%)

eval172.0ms (3.8%)

prune79.0ms (1.7%)

simplify42.0ms (0.9%)

localize56.0ms (1.2%)

series2.0ms (0.1%)

simplify143.0ms (3.1%)

rewrite238.0ms (5.2%)

eval10.0ms (0.2%)

prune9.0ms (0.2%)

regimes58.0ms (1.3%)

regimes7.0ms (0.1%)

simplify8.0ms (0.2%)

soundness803.0ms (17.6%)

preprocess51.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	48
0	19	48
1	28	48
2	55	48
3	94	48
4	181	48
5	352	48
6	541	48
7	630	48
8	670	48
9	672	48
0	672	47