Metrics for From Rump in a 1983 paper, rewritten

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample889.0ms (18.5%)

Memory

33.9MiB live, 1 595.0MiB allocated

Samples

622.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

ival-mult: 169.0ms (40.6% of total)

ival-pow: 82.0ms (19.7% of total)

ival-sub: 71.0ms (17.1% of total)

ival-==: 62.0ms (14.9% of total)

exact: 19.0ms (4.6% of total)

ival-and: 11.0ms (2.6% of total)

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

Bogosity

explain102.0ms (2.1%)

Memory

33.5MiB live, 192.5MiB 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

36.0ms

512×

valid

Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (44.8% of total)

ival-pow: 6.0ms (29.9% of total)

ival-sub: 4.0ms (19.9% of total)

exact: 1.0ms (5% of total)

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

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

preprocess126.0ms (2.6%)

Memory

-2.9MiB live, 110.2MiB 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
(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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

simplify29.0ms (0.6%)

Memory

-3.1MiB live, 35.0MiB 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
(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 (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 (fma.f64 y y #s(literal -2 binary64)) y) y)
(*.f64 y y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal 2 binary64)

localize44.0ms (0.9%)

Memory

-4.0MiB live, 79.5MiB 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

36.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 12.0ms (50.6% of total)

ival-mult: 8.0ms (33.7% of total)

ival-pow: 3.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

simplify115.0ms (2.4%)

Memory

-22.3MiB live, 170.1MiB 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	6209	562
0	8251	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
#s(literal -2 binary64)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(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)))
(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)))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(.f64 (.f64 y y) #s(literal -2 binary64))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(*.f64 y y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 3 binary64)))
(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)))
(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)))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(pow.f64 y #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(*.f64 y y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 3 binary64)))
(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)))
(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)))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(pow.f64 y #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 3 binary64)))
(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)))
(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)))
(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)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.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))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(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)))
(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)))
(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)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.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))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(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)))
(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)))
(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)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.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))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))

rewrite173.0ms (3.6%)

Memory

12.3MiB live, 203.0MiB 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
#<batchref>
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eval54.0ms (1.1%)

Memory: 16.7MiB live, 102.1MiB allocated
Compiler: Compiled 11 061 to 932 computations (91.6% saved)

prune13.0ms (0.3%)

Memory

7.5MiB live, 45.6MiB 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 53 to 39 computations (26.4% saved)

simplify53.0ms (1.1%)

Memory

-8.3MiB live, 70.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (2.1%)

Memory

-47.3MiB live, 156.7MiB 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

85.0ms

256×

valid

Compiler

Compiled 262 to 53 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 35.0ms (77.1% of total)

ival-add: 3.0ms (6.6% of total)

ival-pow: 3.0ms (6.6% of total)

ival-sub: 2.0ms (4.4% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-12.5MiB live, 31.5MiB allocated

Counts

11 → 156

Calls

Call 1

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

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

Calls

6 calls:

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

simplify137.0ms (2.9%)

Memory

2.0MiB live, 194.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1109
1	136	1046
2	322	1046
3	997	1046
4	2995	1046
5	5871	1046
0	8229	1014

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

rewrite158.0ms (3.3%)

Memory

21.0MiB live, 209.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

11 → 534

Calls

Call 1

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

Outputs
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eval186.0ms (3.9%)

Memory: 6.7MiB live, 247.5MiB allocated
Compiler: Compiled 20 921 to 1 795 computations (91.4% saved)

prune35.0ms (0.7%)

Memory

16.8MiB live, 90.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

100.0%

Counts

831 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

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

▶

1.5%

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

▶

9.6%

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

Compiler

Compiled 68 to 44 computations (35.3% saved)

simplify87.0ms (1.8%)

Memory

-30.1MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.1%)

Memory

25.2MiB live, 99.0MiB allocated

Localize:

Found 12 expressions of interest:

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

Samples

35.0ms

256×

valid

Compiler

Compiled 281 to 49 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 14.0ms (58.9% of total)

ival-sub: 3.0ms (12.6% of total)

ival-pow: 3.0ms (12.6% of total)

ival-add: 2.0ms (8.4% of total)

ival-neg: 1.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-0.8MiB live, 35.2MiB allocated

Counts

12 → 180

Calls

Call 1

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

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

simplify203.0ms (4.2%)

Memory

-13.0MiB live, 190.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	1416
1	134	1326
2	316	1326
3	987	1326
4	2983	1326
5	5864	1326
0	8227	1278

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite190.0ms (4%)

Memory

5.6MiB live, 229.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

12 → 552

Calls

Call 1

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

Outputs
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eval156.0ms (3.3%)

Memory: 31.5MiB live, 219.3MiB allocated
Compiler: Compiled 26 307 to 1 879 computations (92.9% saved)

prune28.0ms (0.6%)

Memory

-28.0MiB live, 59.8MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Accuracy

100.0%

Counts

868 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

11.1%

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

Compiler

Compiled 45 to 28 computations (37.8% saved)

simplify48.0ms (1%)

Memory

21.2MiB live, 58.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.7%)

Memory

21.6MiB live, 58.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

23.0ms

256×

valid

Compiler

Compiled 96 to 33 computations (65.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (53% of total)

ival-sub: 3.0ms (22.7% of total)

ival-pow: 3.0ms (22.7% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.7%)

Memory

-14.1MiB live, 39.6MiB allocated

Counts

4 → 60

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)))
1.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)))
1.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)))
1.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)))
1.0ms	y	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (- 2 (* y y)) y) y) (* (- 2 (* y y)) y) (- 2 (* y y)))

simplify151.0ms (3.2%)

Memory

5.2MiB live, 188.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	553
1	117	508
2	293	508
3	976	508
4	2911	508
5	5778	508
0	8346	492

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite380.0ms (7.9%)

Memory

7.5MiB live, 169.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 8

Calls

Call 1

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

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

eval17.0ms (0.3%)

Memory: -26.2MiB live, 11.7MiB allocated
Compiler: Compiled 2 028 to 78 computations (96.2% saved)

prune6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Accuracy

100.0%

Counts

70 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

11.1%

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

Compiler

Compiled 208 to 72 computations (65.4% saved)

regimes22.0ms (0.5%)

Memory

-9.4MiB live, 29.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	y
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 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms	(pow.f64 x #s(literal 4 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)

regimes12.0ms (0.3%)

Memory

22.3MiB live, 22.3MiB 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))) (.f64 (.f64 #s(approx (- 2 (* y y)) #s(literal 2 binary64)) y) y))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 9 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y))

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

Calls

7 calls:

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

simplify43.0ms (0.9%)

Memory

-4.2MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

Outputs

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

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

soundness987.0ms (20.6%)

Memory

-48.5MiB live, 537.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1109
1	136	1046
2	322	1046
3	997	1046
4	2995	1046
5	5871	1046
0	8229	1014
0	11	40
0	17	40
1	62	40
2	419	40
3	4776	40
0	8840	37
0	23	81
0	35	81
1	121	78
2	848	78
0	9551	74
0	50	1416
1	134	1326
2	316	1326
3	987	1326
4	2983	1326
5	5864	1326
0	8227	1278
0	40	583
1	97	568
2	240	568
3	689	562
4	2431	562
5	6209	562
0	8251	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 146 to 79 computations (45.9% saved)

preprocess87.0ms (1.8%)

Memory

16.4MiB live, 55.1MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 264 to 160 computations (39.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample889.0ms (18.5%)

explain102.0ms (2.1%)

preprocess126.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.6%)

localize44.0ms (0.9%)

series9.0ms (0.2%)

simplify115.0ms (2.4%)

rewrite173.0ms (3.6%)

eval54.0ms (1.1%)

prune13.0ms (0.3%)

simplify53.0ms (1.1%)

localize103.0ms (2.1%)

series19.0ms (0.4%)

simplify137.0ms (2.9%)

rewrite158.0ms (3.3%)

eval186.0ms (3.9%)

prune35.0ms (0.7%)

simplify87.0ms (1.8%)

localize53.0ms (1.1%)

series16.0ms (0.3%)

simplify203.0ms (4.2%)

rewrite190.0ms (4%)

eval156.0ms (3.3%)

prune28.0ms (0.6%)

simplify48.0ms (1%)

localize32.0ms (0.7%)

series34.0ms (0.7%)

simplify151.0ms (3.2%)

rewrite380.0ms (7.9%)

eval17.0ms (0.3%)

prune6.0ms (0.1%)

regimes22.0ms (0.5%)

regimes12.0ms (0.3%)

simplify43.0ms (0.9%)

soundness987.0ms (20.6%)

preprocess87.0ms (1.8%)

end0.0ms (0%)

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