Metrics for From Rump in a 1983 paper

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample964.0ms (22.7%)

Memory

67.1MiB live, 1 871.6MiB allocated

Samples

667.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 459.0ms

ival-mult: 150.0ms (32.7% of total)

ival-pow: 142.0ms (31% of total)

ival-==: 60.0ms (13.1% of total)

ival-sub: 37.0ms (8.1% of total)

ival-add: 36.0ms (7.9% of total)

exact: 19.0ms (4.1% of total)

ival-and: 11.0ms (2.4% of total)

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

Bogosity

explain213.0ms (5%)

Memory

-5.5MiB live, 235.1MiB 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

55.0ms

512×

valid

Compiler

Compiled 115 to 40 computations (65.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 24.0ms (63.2% of total)

ival-pow: 8.0ms (21.1% of total)

ival-sub: 2.0ms (5.3% of total)

ival-add: 2.0ms (5.3% of total)

exact: 1.0ms (2.6% of total)

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

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

preprocess67.0ms (1.6%)

Memory

-9.9MiB live, 65.6MiB 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 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (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 15 to 12 computations (20% saved)

simplify21.0ms (0.5%)

Memory

2.0MiB live, 40.7MiB 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)

localize55.0ms (1.3%)

Memory

4.4MiB live, 54.4MiB 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

43.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 25.0ms (71.6% of total)

ival-mult: 4.0ms (11.5% of total)

ival-pow: 4.0ms (11.5% of total)

ival-add: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.6%)

Memory

-21.5MiB live, 17.3MiB 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 (* 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 (* 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 (* 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 (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 (* -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 #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 (* 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 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 (* -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>) () ())) ())
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#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 (* 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>) () ())) ())
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#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 #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 -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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	y	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	x	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	x	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms	y	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))

simplify139.0ms (3.3%)

Memory

25.6MiB live, 217.8MiB 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	688
1	97	673
2	197	673
3	398	673
4	1027	667
5	3495	667
6	7316	667
0	8112	651

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 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)))))
(* 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)))
(* 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)
(* -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) (- (* 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))
(* 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)
(* -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) (- (* 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))
(* 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)
(- (* 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))
(* -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))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 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))
(* (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))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 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))
(* (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))
(* 9 (pow x 4))
(* 9 (pow x 4))
(* 9 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

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

rewrite207.0ms (4.9%)

Memory

18.5MiB live, 337.4MiB 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 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 y y)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -2 binary64) (.f64 y y) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
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(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)))

eval101.0ms (2.4%)

Memory: -44.4MiB live, 160.4MiB allocated
Compiler: Compiled 10 631 to 778 computations (92.7% saved)

prune41.0ms (1%)

Memory

-18.7MiB live, 61.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	342	4	346
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	343	4	347

Accuracy

100.0%

Counts

347 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
▶	100.0%	(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
▶	9.6%	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
▶	1.5%	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))

Compiler

Compiled 48 to 38 computations (20.8% saved)

simplify57.0ms (1.4%)

Memory

20.3MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 9 binary64))
cost-diff	320	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
cost-diff	0	(-.f64 #s(literal 2 binary64) (*.f64 y y))
cost-diff	0	(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))

Rules

1 344×	`lower-fma.f32`
1 336×	`lower-fma.f64`
672×	`lower-*.f32`
654×	`lower-*.f64`
326×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	176
0	49	172
1	99	172
2	207	170
3	406	168
4	655	168
5	944	168
6	1223	168
7	1429	168
8	1611	168
9	1704	168
10	1716	168
11	1716	168
12	1718	168
0	1718	168

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

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)
y
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(*.f64 y y)
y
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
#s(literal 2 binary64)

localize91.0ms (2.2%)

Memory

-21.5MiB live, 136.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 y)
accuracy	61.99859042974503	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	57.826291447367076	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
accuracy	0	(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
accuracy	0	(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
accuracy	0	(*.f64 y y)
accuracy	63.038054683620885	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))

Samples

51.0ms

256×

valid

Compiler

Compiled 169 to 31 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 17.0ms (47.3% of total)

ival-pow: 9.0ms (25% of total)

ival-add: 7.0ms (19.5% of total)

ival-sub: 2.0ms (5.6% of total)

ival-neg: 1.0ms (2.8% 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

7.3MiB live, 43.9MiB allocated

Counts

16 → 240

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))
2.0ms	x	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))
2.0ms	x	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))
2.0ms	y	@	0	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))
2.0ms	y	@	inf	((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)) (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (* (pow x 4) 9) (pow x 4) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* x x) 9) (* x x) (* (* y y) (+ (* (neg y) y) 2)) (* y y))

simplify102.0ms (2.4%)

Memory

-8.3MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 690×	`lower-fma.f64`
5 690×	`lower-fma.f32`
2 778×	`lower-*.f64`
2 778×	`lower-*.f32`
1 282×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	2020
1	157	1948
2	376	1948
3	1131	1948
4	3081	1916
5	5923	1884
0	8224	1811

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite206.0ms (4.9%)

Memory

32.4MiB live, 379.0MiB allocated

Rules

10 920×	`lower-fma.f32`
10 912×	`lower-fma.f64`
3 868×	`lower-*.f32`
3 850×	`lower-*.f64`
2 778×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	137
0	49	133
1	200	133
2	1454	128
0	9083	124

Stop Event

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

Counts

16 → 890

Calls

Call 1

Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y)
(-.f64 #s(literal 2 binary64) (*.f64 y y))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(.f64 (.f64 y y) (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 (fma.f64 y y #s(literal -2 binary64)) (.f64 y y)))
(.f64 (neg.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) (neg.f64 y))) y)
(.f64 (neg.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y)) (neg.f64 y))
(.f64 (neg.f64 (neg.f64 y)) (.f64 (fma.f64 y y #s(literal -2 binary64)) y))
(.f64 (neg.f64 (fma.f64 y y #s(literal -2 binary64))) (.f64 (neg.f64 y) y))
(.f64 (neg.f64 (fma.f64 y y #s(literal -2 binary64))) (.f64 y y))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 (neg.f64 y) y)) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)) (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y)) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (neg.f64 y) y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 y y) (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 y y) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 y y) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) (neg.f64 y)) y)
(.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64))) (.f64 y y))
(.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (neg.f64 y)) y)
(.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y)))
(.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) y) y))))))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 (neg.f64 y)))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y)))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 (neg.f64 y) y))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y))
(.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 (neg.f64 y) y))
(.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 y y))
(.f64 (.f64 (neg.f64 y) y) (neg.f64 (fma.f64 y y #s(literal -2 binary64))))
(.f64 (.f64 (neg.f64 y) y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)))
(.f64 (neg.f64 y) (neg.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (fma.f64 y y #s(literal -2 binary64))))
(.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y))
(.f64 (neg.f64 y) (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y))
(.f64 (.f64 (fma.f64 (neg.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 (.f64 y y) (neg.f64 (fma.f64 y y #s(literal -2 binary64))))
(.f64 (.f64 y y) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(.f64 (.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(.f64 (.f64 y y) (fma.f64 y y #s(literal -2 binary64)))
(.f64 y (neg.f64 (.f64 (neg.f64 y) (fma.f64 y y #s(literal -2 binary64)))))
(.f64 y (neg.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(.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)) (neg.f64 y)))
(.f64 y (.f64 (fma.f64 y y #s(literal -2 binary64)) y))
(.f64 y (.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 y y))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 y y))) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 y) y))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 y) y)) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 (neg.f64 y) y)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 y y)) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 y y)) (fma.f64 (neg.f64 y) y #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 y) y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 y y) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))) (.f64 (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 (.f64 y y) (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64)) (.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 y y) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))) (.f64 (.f64 y y) (-.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (neg.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))) (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 (neg.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 y) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))) (.f64 (.f64 (neg.f64 y) y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y)))) (-.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y)))))
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64))))
(neg.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 y y)))
(fma.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) (neg.f64 y))) y (.f64 (.f64 #s(literal 2 binary64) y) y))
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(fma.f64 (neg.f64 (.f64 (.f64 (neg.f64 y) y) y)) y (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 y)) (.f64 y (.f64 (neg.f64 y) y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (neg.f64 (neg.f64 y)) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) y (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) (neg.f64 y)) (neg.f64 y) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) (neg.f64 y)) y (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) y (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 y) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) y) (neg.f64 (neg.f64 y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) y) (neg.f64 y) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (.f64 (.f64 (neg.f64 y) y) y) y (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (neg.f64 y) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 y)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) y (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 y y)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -2 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 y) y) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (.f64 (neg.f64 y) y) (.f64 y y) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (neg.f64 y) (neg.f64 (.f64 y (.f64 (neg.f64 y) y))) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (.f64 (neg.f64 y) y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) y) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 y) (.f64 y (.f64 (neg.f64 y) y)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (neg.f64 y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (.f64 y y) (.f64 (neg.f64 y) y) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 (.f64 y y) (.f64 y y) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 y (neg.f64 (.f64 y (.f64 (neg.f64 y) y))) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 y (neg.f64 (.f64 (neg.f64 y) (.f64 (neg.f64 y) y))) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 y (neg.f64 (*.f64 #s(literal -2 binary64) y)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 y (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 y (.f64 (neg.f64 y) (.f64 (neg.f64 y) y)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 y (*.f64 (neg.f64 y) #s(literal -2 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 y (.f64 y (.f64 (neg.f64 y) y)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))))) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 2 binary64) y) y))))))
(-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))
(-.f64 #s(literal 0 binary64) (.f64 (fma.f64 y y #s(literal -2 binary64)) (.f64 y y)))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) y))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) y) y))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y 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 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.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))
(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)))

eval250.0ms (5.9%)

Memory: 32.5MiB live, 335.1MiB allocated
Compiler: Compiled 27 195 to 1 952 computations (92.8% saved)

prune63.0ms (1.5%)

Memory

-23.2MiB live, 107.1MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1 223	2	1 225
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	1 227	2	1 229

Accuracy

100.0%

Counts

1 229 → 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 x x) (*.f64 x x)) #s(literal 9 binary64)))

▶

11.1%

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

Compiler

Compiled 25 to 18 computations (28% saved)

simplify62.0ms (1.5%)

Memory

1.1MiB live, 39.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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 x x) (*.f64 x x)) #s(literal 9 binary64)))
cost-diff	0	#s(approx (- 2 (* y y)) #s(literal 2 binary64))
cost-diff	0	(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) y)
cost-diff	0	(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
cost-diff	0	#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Rules

1 440×	`lower-fma.f32`
1 436×	`lower-fma.f64`
768×	`lower-*.f32`
756×	`lower-*.f64`
344×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	107
0	35	107
1	73	101
2	174	95
3	385	94
4	617	94
5	923	94
6	1235	94
7	1583	94
8	1769	94
9	1788	94
10	1790	94
11	1793	94
12	1801	94
0	1801	94

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

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

localize58.0ms (1.4%)

Memory

-16.0MiB live, 97.2MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

44.0ms

256×

valid

Compiler

Compiled 94 to 26 computations (72.3% saved)

Precisions

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

ival-mult: 15.0ms (44.9% of total)

ival-add: 7.0ms (21% of total)

ival-sub: 6.0ms (18% of total)

ival-pow: 4.0ms (12% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

10 → 144

Calls

Call 1

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

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

Calls

6 calls:

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

simplify111.0ms (2.6%)

Memory

-9.3MiB live, 146.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 854×	`lower-fma.f64`
7 854×	`lower-fma.f32`
3 630×	`lower-*.f64`
3 630×	`lower-*.f32`
1 454×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1053
1	143	990
2	344	990
3	1071	990
4	3304	990
5	5848	990
0	8100	949

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite213.0ms (5%)

Memory

2.2MiB live, 277.4MiB allocated

Rules

8 334×	`lower-fma.f32`
8 330×	`lower-fma.f64`
5 014×	`lower-*.f32`
5 002×	`lower-*.f64`
3 670×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	92
0	35	84
1	154	84
2	1019	83
0	8615	83

Stop Event

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

Counts

10 → 222

Calls

Call 1

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

Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
(.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y)
(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) (*.f64 y y))
(.f64 (.f64 y y) #s(approx (- 2 (* y y)) #s(literal 2 binary64)))
(.f64 y (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y))
(.f64 #s(approx (- 2 ( y y)) #s(literal 2 binary64)) y)
(.f64 y #s(approx (- 2 ( y y)) #s(literal 2 binary64)))
#s(approx (- 2 (* y y)) #s(literal 2 binary64))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 y (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))))
(.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
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(.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 16 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -8 binary64)) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 #s(literal 64 binary64) (.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 2 binary64)) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 y y))))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal -2 binary64))
(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 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal -1 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 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal -2 binary64) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (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 (pow.f64 y #s(literal 4 binary64)) (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 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(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 x) #s(literal 4 binary64)))

eval98.0ms (2.3%)

Memory: 20.4MiB live, 94.2MiB allocated
Compiler: Compiled 9 361 to 789 computations (91.6% saved)

prune19.0ms (0.4%)

Memory

-3.2MiB live, 42.9MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	384	0	384
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	384	2	386

Accuracy

100.0%

Counts

386 → 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 x x) (*.f64 x x)) #s(literal 9 binary64)))

✓

11.1%

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

Compiler

Compiled 113 to 54 computations (52.2% saved)

regimes14.0ms (0.3%)

Memory

-13.7MiB live, 23.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

Calls

5 calls:

5.0ms	(+.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	y
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
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 25 to 26 computations (-4% saved)

regimes6.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Accuracy

Total -6.2b remaining (-10.8%)

Threshold costs -6.2b (-10.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

1.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
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	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 25 to 26 computations (-4% saved)

simplify25.0ms (0.6%)

Memory

15.8MiB live, 52.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`+-commutative-binary64-+.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	45
1	35	45
2	39	45
3	42	45
4	43	45

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 x x) (*.f64 x x)) #s(literal 9 binary64)))

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

Outputs

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

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

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

soundness888.0ms (20.9%)

Memory

-59.3MiB live, 372.2MiB allocated

Rules

13 406×	`lower-fma.f64`
13 406×	`lower-fma.f32`
10 920×	`lower-fma.f32`
10 912×	`lower-fma.f64`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	688
1	97	673
2	197	673
3	398	673
4	1027	667
5	3495	667
6	7316	667
0	8112	651
0	31	137
0	49	133
1	200	133
2	1454	128
0	9083	124
0	12	40
0	19	40
1	64	40
2	471	40
3	6825	40
0	8077	39
0	61	2020
1	157	1948
2	376	1948
3	1131	1948
4	3081	1916
5	5923	1884
0	8224	1811

Stop Event

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

Compiler

Compiled 78 to 51 computations (34.6% saved)

preprocess109.0ms (2.6%)

Memory: 7.1MiB live, 44.7MiB allocated
Compiler: Compiled 80 to 56 computations (30% 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%)

sample964.0ms (22.7%)

explain213.0ms (5%)

preprocess67.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.5%)

localize55.0ms (1.3%)

series27.0ms (0.6%)

simplify139.0ms (3.3%)

rewrite207.0ms (4.9%)

eval101.0ms (2.4%)

prune41.0ms (1%)

simplify57.0ms (1.4%)

localize91.0ms (2.2%)

series21.0ms (0.5%)

simplify102.0ms (2.4%)

rewrite206.0ms (4.9%)

eval250.0ms (5.9%)

prune63.0ms (1.5%)

simplify62.0ms (1.5%)

localize58.0ms (1.4%)

series11.0ms (0.3%)

simplify111.0ms (2.6%)

rewrite213.0ms (5%)

eval98.0ms (2.3%)

prune19.0ms (0.4%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

simplify25.0ms (0.6%)

soundness888.0ms (20.9%)

preprocess109.0ms (2.6%)

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