Metrics for From Rump in a 1983 paper, rewritten

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample925.0ms (20%)

Memory

23.0MiB live, 1 694.5MiB allocated

Samples

613.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 435.0ms

ival-mult: 149.0ms (34.3% of total)

ival-pow: 99.0ms (22.8% of total)

ival-sub: 92.0ms (21.2% of total)

ival-==: 60.0ms (13.8% of total)

exact: 19.0ms (4.4% of total)

ival-and: 12.0ms (2.8% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain122.0ms (2.6%)

Memory

29.6MiB live, 267.2MiB 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

43.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

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

ival-mult: 9.0ms (42% of total)

ival-pow: 6.0ms (28% of total)

ival-sub: 5.0ms (23.3% of total)

exact: 1.0ms (4.7% of total)

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

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

preprocess121.0ms (2.6%)

Memory

1.6MiB live, 118.9MiB allocated

Algorithm

1×	egg-herbie

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

1.4MiB live, 1.4MiB 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)

simplify30.0ms (0.7%)

Memory

-8.5MiB live, 25.6MiB 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))

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)

localize55.0ms (1.2%)

Memory

12.6MiB live, 50.3MiB 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

48.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

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

ival-pow: 31.0ms (78.9% of total)

ival-mult: 6.0ms (15.3% of total)

ival-sub: 2.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.5%)

Memory

-28.5MiB live, 22.6MiB 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)))

simplify130.0ms (2.8%)

Memory

20.5MiB live, 132.2MiB allocated

Algorithm

1×	egg-herbie

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))

rewrite220.0ms (4.7%)

Memory

-9.3MiB live, 231.7MiB allocated

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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eval49.0ms (1.1%)

Memory: 29.3MiB live, 101.1MiB allocated
Compiler: Compiled 10 365 to 923 computations (91.1% saved)

prune20.0ms (0.4%)

Memory

-4.7MiB live, 40.3MiB 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 (1.1%)

Memory

-2.0MiB live, 34.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
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	320	(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))
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)))

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	462	122
5	609	122
6	902	122
7	1176	122
8	1468	122
9	1600	122
10	1623	122
11	1625	122
12	1627	122
0	1627	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))
(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 (.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)))
(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)))
(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)

localize86.0ms (1.9%)

Memory

1.4MiB live, 169.8MiB 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

68.0ms

256×

valid

Compiler

Compiled 247 to 44 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 19.0ms (62.2% of total)

ival-add: 5.0ms (16.4% of total)

ival-pow: 3.0ms (9.8% of total)

ival-sub: 2.0ms (6.5% of total)

ival-neg: 1.0ms (3.3% 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

-14.5MiB live, 24.3MiB allocated

Counts

11 → 168

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

Calls

6 calls:

Time	Variable		Point	Expression
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)) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (+ (* (+ (* (neg y) y) 2) (* y y)) (* (pow x 4) 9)) (+ (* (neg y) y) 2) (neg y) (* 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)) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (+ (* (+ (* (neg y) y) 2) (* y y)) (* (pow x 4) 9)) (+ (* (neg y) y) 2) (neg y) (* 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)) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (+ (* (+ (* (neg y) y) 2) (* y y)) (* (pow x 4) 9)) (+ (* (neg y) y) 2) (neg y) (* 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)) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (+ (* (+ (* (neg y) y) 2) (* y y)) (* (pow x 4) 9)) (+ (* (neg y) y) 2) (neg y) (* 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)) (* (* x x) 9) (* x x) (* (* (+ (* (neg y) y) 2) y) y) (+ (* (+ (* (neg y) y) 2) (* y y)) (* (pow x 4) 9)) (+ (* (neg y) y) 2) (neg y) (* y y))

simplify119.0ms (2.6%)

Memory

11.3MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	1330
1	107	1258
2	244	1258
3	673	1258
4	1870	1258
5	5247	1258
0	8706	1210

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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))))
(* 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 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 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 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (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 4))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (/ (* (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 4))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (/ (* (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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* 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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(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))
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(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))))
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rewrite221.0ms (4.8%)

Memory

-3.4MiB live, 234.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	88
0	39	92
1	151	84
2	1008	83
0	9703	80

Stop Event

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

Counts

11 → 577

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))
(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 x x) #s(literal 9 binary64))
(*.f64 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 (pow.f64 x #s(literal 4 binary64)) #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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eval132.0ms (2.8%)

Memory: -32.8MiB live, 242.2MiB allocated
Compiler: Compiled 20 651 to 1 281 computations (93.8% saved)

prune48.0ms (1%)

Memory

-1.8MiB live, 115.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	874	3	877
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	877	3	880

Accuracy

100.0%

Counts

880 → 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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 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)

simplify53.0ms (1.1%)

Memory

7.0MiB live, 44.6MiB 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	(fma.f64 y y #s(literal -2 binary64))
cost-diff	0	(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
cost-diff	0	(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
cost-diff	0	#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)))
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)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	145
0	36	143
1	73	131
2	151	119
3	349	119
4	491	119
5	648	119
6	923	119
7	1228	119
8	1430	119
9	1484	119
10	1495	119
11	1497	119
12	1499	119
0	1499	119

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

localize69.0ms (1.5%)

Memory

13.1MiB live, 123.8MiB 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 (fma.f64 y y #s(literal -2 binary64)) y)
accuracy	0	(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	63.038054683620885	#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)))
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

55.0ms

256×

valid

Compiler

Compiled 248 to 42 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 22.0ms (68.8% of total)

ival-add: 3.0ms (9.4% of total)

ival-pow: 3.0ms (9.4% of total)

ival-sub: 2.0ms (6.3% of total)

exact: 1.0ms (3.1% of total)

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

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

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

series15.0ms (0.3%)

Memory

-1.3MiB live, 35.5MiB 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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) (patch (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (patch (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) (patch (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) (patch (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) (patch (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) (patch (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -2 y) (taylor 0 y) (#s(alt (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (patch (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow y 2) 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (patch (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow y 2) 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (patch (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (pow y 2) 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (patch (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 2) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -2 binary64)) (patch (fma.f64 y y #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))) (patch #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))) #<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
4.0ms	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))) (* (* (+ (* y y) -2) y) (neg y)) (* (+ (* y y) -2) y) (+ (* y y) -2) (+ (* (+ (* (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))) (* (* (+ (* y y) -2) y) (neg y)) (* (+ (* y y) -2) y) (+ (* y y) -2) (+ (* (+ (* (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))) (* (* (+ (* y y) -2) y) (neg y)) (* (+ (* y y) -2) y) (+ (* y y) -2) (+ (* (+ (* (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))) (* (* (+ (* y y) -2) y) (neg y)) (* (+ (* y y) -2) y) (+ (* y y) -2) (+ (* (+ (* (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))) (* (* (+ (* y y) -2) y) (neg y)) (* (+ (* y y) -2) y) (+ (* y y) -2) (+ (* (+ (* (neg y) y) 2) (* y y)) (* (* (* x x) (* x x)) 9)) (+ (* (neg y) y) 2) (neg y) (* y y))

simplify172.0ms (3.7%)

Memory

7.0MiB live, 203.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1454
1	129	1394
2	322	1394
3	958	1394
4	3195	1346
5	6134	1346
0	8366	1280

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 (- (pow y 2) 2))
(* y (- (pow y 2) 2))
(* y (- (pow y 2) 2))
-2
(- (pow y 2) 2)
(- (pow y 2) 2)
(- (pow y 2) 2)
(* 9 (pow x 4))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
2
(+ 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))
(pow y 3)
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 3) (- 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))
(* -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))
(pow y 3)
(* -1 (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)))
(* -1 (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)))
(* -1 (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)))
(pow y 2)
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* -1 (pow y 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 #s(literal -2 binary64) y)
(* y (- (pow y 2) 2))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(* y (- (pow y 2) 2))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(* y (- (pow y 2) 2))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
-2
#s(literal -2 binary64)
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
2
#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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 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 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 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)
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) 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) (*.f64 y y)) y) y)
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
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rewrite238.0ms (5.1%)

Memory

-5.5MiB live, 279.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	116
0	36	98
1	146	98
2	902	98
0	9651	98

Stop Event

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

Counts

12 → 472

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 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(fma.f64 y y #s(literal -2 binary64))
(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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eval125.0ms (2.7%)

Memory: 16.2MiB live, 211.2MiB allocated
Compiler: Compiled 15 716 to 1 628 computations (89.6% saved)

prune25.0ms (0.5%)

Memory

-24.8MiB live, 62.7MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	777	1	778
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	779	2	781

Accuracy

100.0%

Counts

781 → 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))) #s(approx (* (* (+ (* y y) -2) y) (neg y)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 25 to 18 computations (28% saved)

simplify30.0ms (0.6%)

Memory

5.4MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	58
0	23	58
1	50	58
2	102	58
3	256	56
4	378	56
5	471	56
6	680	56
7	838	56
8	994	56
9	1015	56
0	1015	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))) #s(approx (* (* (+ (* y y) -2) y) (neg y)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (* (* (+ (* y y) -2) y) (neg y)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)

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

localize68.0ms (1.5%)

Memory

4.6MiB live, 98.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 y y) #s(literal 2 binary64))
accuracy	0	(*.f64 y y)
accuracy	63.038054683620885	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (* (* (+ (* y y) -2) y) (neg y)) (.f64 (.f64 y y) #s(literal 2 binary64))))
accuracy	63.0580316053074	#s(approx (* (* (+ (* y y) -2) y) (neg y)) (.f64 (.f64 y y) #s(literal 2 binary64)))

Samples

59.0ms

256×

valid

Compiler

Compiled 60 to 26 computations (56.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 32.0ms (76.3% of total)

ival-pow: 5.0ms (11.9% of total)

ival-sub: 2.0ms (4.8% of total)

ival-add: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

-21.3MiB live, 16.0MiB allocated

Counts

4 → 60

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (* (* y y) 2) (* y y))
1.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (* (* y y) 2) (* y y))
1.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (* (* y y) 2) (* y y))
1.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (* (* y y) 2) (* y y))
1.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (* (* y y) 2) (* y y))

simplify122.0ms (2.6%)

Memory

4.2MiB live, 124.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	503
1	86	476
2	201	476
3	589	476
4	1638	476
5	4565	476
0	8380	460

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

rewrite305.0ms (6.6%)

Memory

24.6MiB live, 98.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
0	23	56
1	92	56
2	546	54
3	6587	54
0	8085	53

Stop Event

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

Counts

4 → 32

Calls

Call 1

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

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

eval29.0ms (0.6%)

Memory: -26.1MiB live, 11.7MiB allocated
Compiler: Compiled 911 to 164 computations (82% saved)

prune10.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Accuracy

100.0%

Counts

94 → 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))) #s(approx (* (* (+ (* y y) -2) y) (neg y)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 123 to 52 computations (57.7% saved)

regimes46.0ms (1%)

Memory

-16.4MiB live, 26.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

31.0ms	x
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms	(pow.f64 x #s(literal 4 binary64))
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)

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

17.3MiB live, 17.3MiB 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))) #s(approx (* (* (+ (* y y) -2) y) (neg y)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#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)))
#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))) #s(approx (* (* (+ (* y y) -2) y) (neg y)) (.f64 (.f64 y y) #s(literal 2 binary64))))

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 (.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)))
2.0ms	(*.f64 y y)

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)

simplify42.0ms (0.9%)

Memory

2.1MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	50
1	32	50
2	34	50
3	35	50

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))) #s(approx (* (* (+ (* y y) -2) y) (neg 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)))

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

soundness826.0ms (17.8%)

Memory

0.1MiB live, 542.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1454
1	129	1394
2	322	1394
3	958	1394
4	3195	1346
5	6134	1346
0	8366	1280
0	11	40
0	17	40
1	62	40
2	419	40
3	4776	40
0	8840	37
0	24	88
0	39	92
1	151	84
2	1008	83
0	9703	80
0	42	1330
1	107	1258
2	244	1258
3	673	1258
4	1870	1258
5	5247	1258
0	8706	1210
0	40	583
1	97	568
2	240	568
3	689	562
4	2431	562
5	6192	562
0	8236	528

Stop Event

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

Compiler

Compiled 105 to 55 computations (47.6% saved)

preprocess64.0ms (1.4%)

Memory

7.8MiB live, 90.7MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 224 to 138 computations (38.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample925.0ms (20%)

explain122.0ms (2.6%)

preprocess121.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.7%)

localize55.0ms (1.2%)

series24.0ms (0.5%)

simplify130.0ms (2.8%)

rewrite220.0ms (4.7%)

eval49.0ms (1.1%)

prune20.0ms (0.4%)

simplify51.0ms (1.1%)

localize86.0ms (1.9%)

series15.0ms (0.3%)

simplify119.0ms (2.6%)

rewrite221.0ms (4.8%)

eval132.0ms (2.8%)

prune48.0ms (1%)

simplify53.0ms (1.1%)

localize69.0ms (1.5%)

series15.0ms (0.3%)

simplify172.0ms (3.7%)

rewrite238.0ms (5.1%)

eval125.0ms (2.7%)

prune25.0ms (0.5%)

simplify30.0ms (0.6%)

localize68.0ms (1.5%)

series12.0ms (0.3%)

simplify122.0ms (2.6%)

rewrite305.0ms (6.6%)

eval29.0ms (0.6%)

prune10.0ms (0.2%)

regimes46.0ms (1%)

regimes11.0ms (0.2%)

simplify42.0ms (0.9%)

soundness826.0ms (17.8%)

preprocess64.0ms (1.4%)

end0.0ms (0%)

Profiling