Metrics for From Rump in a 1983 paper, rewritten

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 17 computations (26.1% saved)

sample1.1s (21%)

Memory

21.5MiB live, 1 193.7MiB allocated

Samples

730.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 518.0ms

ival-mult: 166.0ms (32% of total)

ival-pow: 123.0ms (23.7% of total)

ival-==: 122.0ms (23.5% of total)

ival-sub: 74.0ms (14.3% of total)

exact: 20.0ms (3.9% of total)

ival-and: 10.0ms (1.9% of total)

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

Bogosity

explain131.0ms (2.5%)

Memory

34.3MiB live, 112.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (42.5% of total)

ival-pow: 5.0ms (26.6% of total)

ival-sub: 4.0ms (21.3% of total)

exact: 1.0ms (5.3% of total)

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

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

preprocess155.0ms (2.9%)

Memory

-15.2MiB live, 102.0MiB allocated

Algorithm

1×	egg-herbie

Rules

912×	`lower-fma.f64`
912×	`lower-fma.f32`
466×	`cancel-sign-sub-inv`
454×	`distribute-lft-in`
442×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	81
1	77	81
2	222	79
3	699	79
4	1349	79
5	1882	79
6	2656	79
7	2923	79
8	3034	75
9	3065	75
10	3070	75
11	3070	75
12	3090	75
13	3098	75
14	3098	75
15	3172	75
0	11	15
0	17	15
1	29	15
2	69	15
3	183	15
4	295	15
5	398	15
6	585	15
7	799	15
8	986	15
9	1009	15
0	1009	14

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify42.0ms (0.8%)

Memory

-1.2MiB live, 36.6MiB 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))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
cost-diff	128	(-.f64 (*.f64 y y) #s(literal 2 binary64))

Rules

912×	`lower-fma.f64`
912×	`lower-fma.f32`
384×	`lower-*.f32`
378×	`lower-*.f64`
214×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	17	45
1	29	45
2	69	45
3	183	45
4	295	45
5	398	45
6	585	45
7	799	45
8	986	45
9	1009	45
0	1009	42

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1.3%)

Memory

3.5MiB live, 44.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	61.99859042974503	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))

Samples

63.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 4.0ms (44.1% of total)

ival-pow: 3.0ms (33.1% of total)

ival-sub: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#s(alt -2 (taylor 0 y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2))))) (taylor 0 y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (pow y 2) 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (pow y 2) 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (pow y 2) 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<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 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<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 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor inf y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (-.f64 (.f64 y y) #s(literal 2 binary64)) (patch (-.f64 (.f64 y y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1)) (taylor -inf y) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<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 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<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 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2))))) (taylor -inf y) (#s(alt (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) (patch (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 2) (- (pow y 2) 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor 0 x) (#s(alt (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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>) () ())) ())
#s(alt (* 9 (pow x 4)) (taylor -inf x) (#s(alt (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64)))) (patch (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 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
1.0ms	y	@	inf	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))
1.0ms	x	@	inf	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))
1.0ms	y	@	0	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))
1.0ms	x	@	0	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))
1.0ms	x	@	-inf	((- (* y y) 2) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) (pow x 4) (* y y) (* (* y y) (- (* y y) 2)))

simplify162.0ms (3.1%)

Memory

10.0MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 756×	`lower-fma.f64`
6 756×	`lower-fma.f32`
4 146×	`lower-*.f64`
4 146×	`lower-*.f32`
1 494×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	583
1	97	568
2	240	568
3	689	562
4	2431	562
5	6192	562
0	8236	528

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

rewrite402.0ms (7.6%)

Memory

-37.8MiB live, 213.7MiB allocated

Rules

7 440×	`lower-fma.f64`
7 440×	`lower-fma.f32`
5 468×	`lower-*.f32`
5 462×	`lower-*.f64`
2 020×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	17	40
1	62	40
2	419	40
3	4776	40
0	8840	37

Stop Event

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

Counts

6 → 264

Calls

Call 1

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

Outputs
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eval165.0ms (3.1%)

Memory: 29.1MiB live, 104.6MiB allocated
Compiler: Compiled 10 365 to 923 computations (91.1% saved)

prune21.0ms (0.4%)

Memory

-1.4MiB live, 43.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	363	3	366
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	364	3	367

Accuracy

100.0%

Counts

367 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

▶

3.1%

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

▶

9.6%

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify51.0ms (1%)

Memory

-14.8MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	129
0	39	133
1	74	133
2	145	126
3	330	122
4	465	122
5	612	122
6	905	122
7	1179	122
8	1471	122
9	1603	122
10	1626	122
11	1628	122
12	1630	122
0	1630	122

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize198.0ms (3.8%)

Memory

1.2MiB live, 121.6MiB allocated

Localize:

Found 11 expressions of interest:

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

Samples

179.0ms

256×

valid

Compiler

Compiled 133 to 26 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 17.0ms (64.3% of total)

ival-add: 3.0ms (11.3% of total)

ival-pow: 3.0ms (11.3% of total)

ival-sub: 2.0ms (7.6% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.5%)

Memory

-12.0MiB live, 27.2MiB allocated

Counts

11 → 156

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (* (+ (* (neg y) y) 2) y) (+ (* (neg y) y) 2) (neg y) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* (+ (* (neg y) y) 2) y) y)))
2.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (* (+ (* (neg y) y) 2) y) (+ (* (neg y) y) 2) (neg y) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* (+ (* (neg y) y) 2) y) y)))
1.0ms	y	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (* (+ (* (neg y) y) 2) y) (+ (* (neg y) y) 2) (neg y) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* (+ (* (neg y) y) 2) y) y)))
1.0ms	x	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (* (+ (* (neg y) y) 2) y) (+ (* (neg y) y) 2) (neg y) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* (+ (* (neg y) y) 2) y) y)))
1.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (pow x 4) 9) (pow x 4) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (* (+ (* (neg y) y) 2) y) (+ (* (neg y) y) 2) (neg y) (* y y) (+ (* (* (* (* x x) 9) x) x) (* (* (+ (* (neg y) y) 2) y) y)))

simplify202.0ms (3.8%)

Memory

-1.1MiB live, 195.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 882×	`lower-fma.f64`
11 882×	`lower-fma.f32`
4 288×	`lower-*.f64`
4 288×	`lower-*.f32`
1 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1109
1	136	1046
2	322	1046
3	997	1046
4	2995	1046
5	5875	1046
0	8233	1014

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

rewrite187.0ms (3.5%)

Memory

7.4MiB live, 285.2MiB allocated

Rules

13 152×	`lower-fma.f32`
13 148×	`lower-fma.f64`
6 104×	`lower-*.f32`
6 090×	`lower-*.f64`
2 584×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	81
0	35	81
1	121	78
2	848	78
0	9551	74

Stop Event

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

Counts

11 → 534

Calls

Call 1

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

Outputs
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eval119.0ms (2.2%)

Memory: 31.6MiB live, 265.5MiB allocated
Compiler: Compiled 18 704 to 1 775 computations (90.5% saved)

prune38.0ms (0.7%)

Memory

-21.7MiB live, 97.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	825	3	828
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	828	3	831

Accuracy

100.0%

Counts

831 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

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

▶

1.5%

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

▶

9.6%

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify54.0ms (1%)

Memory

15.1MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) (.f64 y y) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #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)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
cost-diff	-5504	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64))
cost-diff	0	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))

Rules

1 344×	`lower-fma.f32`
1 340×	`lower-fma.f64`
672×	`lower-*.f32`
660×	`lower-*.f64`
300×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	148
0	36	148
1	72	136
2	145	122
3	324	122
4	455	122
5	623	122
6	898	122
7	1205	122
8	1406	122
9	1460	122
10	1471	122
11	1473	122
12	1475	122
0	1475	122

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize321.0ms (6.1%)

Memory

-263.3MiB live, 144.5MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

306.0ms

256×

valid

Compiler

Compiled 133 to 24 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-sub: 273.0ms (93.6% of total)

ival-mult: 13.0ms (4.5% of total)

ival-pow: 3.0ms (1% of total)

ival-add: 2.0ms (0.7% of total)

ival-neg: 1.0ms (0.3% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

-10.6MiB live, 30.5MiB allocated

Counts

12 → 180

Calls

Call 1

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

Calls

6 calls:

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

simplify135.0ms (2.6%)

Memory

45.3MiB live, 238.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 882×	`lower-fma.f64`
11 882×	`lower-fma.f32`
4 276×	`lower-*.f64`
4 276×	`lower-*.f32`
1 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1416
1	134	1326
2	316	1326
3	987	1326
4	2984	1326
5	5868	1326
0	8231	1278

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

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

rewrite185.0ms (3.5%)

Memory

-1.4MiB live, 316.2MiB allocated

Rules

12 836×	`lower-fma.f32`
12 832×	`lower-fma.f64`
5 274×	`lower-*.f32`
5 262×	`lower-*.f64`
2 792×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	118
0	36	102
1	142	102
2	934	100
0	9392	100

Stop Event

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

Counts

12 → 552

Calls

Call 1

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

Outputs
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eval117.0ms (2.2%)

Memory: -1.9MiB live, 265.9MiB allocated
Compiler: Compiled 17 184 to 1 859 computations (89.2% saved)

prune22.0ms (0.4%)

Memory

-4.2MiB live, 73.1MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	864	1	865
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	866	2	868

Accuracy

100.0%

Counts

868 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

11.1%

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

Compiler

Compiled 25 to 18 computations (28% saved)

simplify46.0ms (0.9%)

Memory

7.0MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
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)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Rules

1 008×	`lower-fma.f64`
1 008×	`lower-fma.f32`
480×	`lower-*.f32`
476×	`lower-*.f64`
232×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
0	18	56
1	37	56
2	79	56
3	194	56
4	308	56
5	402	56
6	584	56
7	818	56
8	1042	56
9	1188	56
10	1241	56
11	1464	56
12	1466	56
13	1469	56
14	1471	56
0	1471	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.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

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.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

localize33.0ms (0.6%)

Memory

-15.6MiB live, 65.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))

Samples

25.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-mult: 12.0ms (66.5% of total)

ival-sub: 3.0ms (16.6% of total)

ival-pow: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

4 → 60

Calls

Call 1

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

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

Calls

6 calls:

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

simplify147.0ms (2.8%)

Memory

8.4MiB live, 201.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 978×	`lower-fma.f64`
13 978×	`lower-fma.f32`
4 406×	`lower-*.f64`
4 406×	`lower-*.f32`
1 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	553
1	117	508
2	293	508
3	976	508
4	2911	508
5	5773	508
0	8342	492

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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

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

rewrite137.0ms (2.6%)

Memory

25.2MiB live, 216.3MiB allocated

Rules

6 764×	`lower-fma.f64`
6 764×	`lower-fma.f32`
4 578×	`lower-*.f32`
4 574×	`lower-*.f64`
2 018×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
0	18	54
1	78	54
2	542	54
3	5924	54
0	8253	53

Stop Event

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

Counts

4 → 8

Calls

Call 1

Inputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.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))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval22.0ms (0.4%)

Memory: -10.6MiB live, 36.8MiB allocated
Compiler: Compiled 716 to 66 computations (90.8% saved)

prune9.0ms (0.2%)

Memory

-22.0MiB live, 16.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Accuracy

100.0%

Counts

70 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

11.1%

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

Compiler

Compiled 123 to 52 computations (57.7% saved)

regimes20.0ms (0.4%)

Memory

2.9MiB live, 41.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	y
2.0ms	x
2.0ms	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
2.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

Results

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

Compiler

Compiled 37 to 34 computations (8.1% saved)

regimes11.0ms (0.2%)

Memory

27.7MiB live, 27.7MiB allocated

Accuracy

Total -6.2b remaining (-10.8%)

Threshold costs -6.2b (-10.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

2.0ms	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
2.0ms	(*.f64 y y)
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))

Results

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

Compiler

Compiled 37 to 34 computations (8.1% saved)

simplify27.0ms (0.5%)

Memory

-26.5MiB live, 54.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`+-commutative-binary64-+.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`
2×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	45
1	30	45
2	32	45
3	33	45

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

soundness834.0ms (15.8%)

Memory

18.5MiB live, 595.1MiB allocated

Rules

13 152×	`lower-fma.f32`
13 148×	`lower-fma.f64`
11 882×	`lower-fma.f64`
11 882×	`lower-fma.f32`
11 882×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	17	40
1	62	40
2	419	40
3	4776	40
0	8840	37
0	51	1109
1	136	1046
2	322	1046
3	997	1046
4	2995	1046
5	5875	1046
0	8233	1014
0	40	583
1	97	568
2	240	568
3	689	562
4	2431	562
5	6192	562
0	8236	528
0	50	1416
1	134	1326
2	316	1326
3	987	1326
4	2984	1326
5	5868	1326
0	8231	1278
0	23	81
0	35	81
1	121	78
2	848	78
0	9551	74

Stop Event

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

Compiler

Compiled 111 to 60 computations (45.9% saved)

preprocess50.0ms (1%)

Memory

6.8MiB live, 91.6MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 224 to 140 computations (37.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (21%)

explain131.0ms (2.5%)

preprocess155.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.8%)

localize70.0ms (1.3%)

series8.0ms (0.2%)

simplify162.0ms (3.1%)

rewrite402.0ms (7.6%)

eval165.0ms (3.1%)

prune21.0ms (0.4%)

simplify51.0ms (1%)

localize198.0ms (3.8%)

series28.0ms (0.5%)

simplify202.0ms (3.8%)

rewrite187.0ms (3.5%)

eval119.0ms (2.2%)

prune38.0ms (0.7%)

simplify54.0ms (1%)

localize321.0ms (6.1%)

series15.0ms (0.3%)

simplify135.0ms (2.6%)

rewrite185.0ms (3.5%)

eval117.0ms (2.2%)

prune22.0ms (0.4%)

simplify46.0ms (0.9%)

localize33.0ms (0.6%)

series6.0ms (0.1%)

simplify147.0ms (2.8%)

rewrite137.0ms (2.6%)

eval22.0ms (0.4%)

prune9.0ms (0.2%)

regimes20.0ms (0.4%)

regimes11.0ms (0.2%)

simplify27.0ms (0.5%)

soundness834.0ms (15.8%)

preprocess50.0ms (1%)

end0.0ms (0%)

Profiling