Metrics for Radioactive exchange between two surfaces

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.4s (22%)

Memory

-5.5MiB live, 1 661.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 752.0ms

ival-pow: 686.0ms (91.2% of total)

ival-sub: 52.0ms (6.9% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain76.0ms (1.2%)

Memory

-24.1MiB live, 214.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
39	-	-	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
0	-	-	`y`
0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`	nan-rescue	39	0
↳	`(pow.f64 x #s(literal 4 binary64))`	overflow	98
↳	`(pow.f64 y #s(literal 4 binary64))`	overflow	100

Confusion

	Predicted +	Predicted -
+	39	0
-	0	217

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	0
-	0	0	217

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	217
1	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 59 to 28 computations (52.5% saved)

Precisions

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

ival-pow: 16.0ms (83.8% of total)

ival-sub: 2.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.3%)

Memory

33.5MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	30	41
2	68	39
3	121	39
4	213	39
5	333	39
6	376	39
7	396	39
0	6	7
0	9	7
1	11	7
2	16	7
3	22	7
4	30	7
5	45	7
6	78	7
7	103	7
8	145	7
9	160	7
10	168	7
0	168	7

Stop Event

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

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.8%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify15.0ms (0.2%)

Memory

-34.6MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	11	16
2	16	16
3	22	16
4	30	16
5	45	16
6	78	16
7	103	16
8	145	16
9	160	16
10	168	16
0	168	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y

localize21.0ms (0.3%)

Memory

33.9MiB live, 33.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 y #s(literal 4 binary64))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	8.687462844943708	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-pow: 7.0ms (77.1% of total)

ival-sub: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.8%)

Memory

-25.2MiB live, 14.4MiB allocated

Counts

3 → 48

Calls

Call 1

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

Inputs

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

#s(alt #<batchref> (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())

#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #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
44.0ms	y	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	y	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	y	@	-inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))

simplify154.0ms (2.4%)

Memory

27.5MiB live, 252.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	37	219
2	67	219
3	168	219
4	343	219
5	621	219
6	2848	219
7	5718	219
0	8243	219

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

Outputs
(pow.f64 x #s(literal 4 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #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))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #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))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #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))
(pow.f64 x #s(literal 4 binary64))

rewrite185.0ms (2.9%)

Memory

-22.9MiB live, 260.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	36	13
2	225	13
3	1989	13
0	8607	13

Stop Event

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

Counts

3 → 228

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval27.0ms (0.4%)

Memory: 30.3MiB live, 67.4MiB allocated
Compiler: Compiled 8 555 to 669 computations (92.2% saved)

prune8.0ms (0.1%)

Memory

-28.4MiB live, 17.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	272	4	276
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	4	277

Accuracy

100.0%

Counts

277 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.5%	(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (neg.f64 (pow.f64 y #s(literal 4 binary64))))
▶	99.8%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
▶	57.3%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
▶	60.0%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 46 to 35 computations (23.9% saved)

simplify159.0ms (2.5%)

Memory

22.8MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	320	(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (neg.f64 (pow.f64 y #s(literal 4 binary64))))
cost-diff	0	(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	32	96
1	51	96
2	105	96
3	404	96
4	1366	96
5	4620	96
0	8150	96

Stop Event

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

Calls

Call 1

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

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

localize60.0ms (0.9%)

Memory

-7.4MiB live, 105.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 y #s(literal 4 binary64))
accuracy	0	(pow.f64 x #s(literal 3 binary64))
accuracy	0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	8.199185723283295	(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (neg.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy	0	(*.f64 (+.f64 x y) (-.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.09765625	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	27.327744932855534	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0	(pow.f64 y #s(literal 4 binary64))
accuracy	0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	25.58433282667316	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Samples

43.0ms

256×

valid

Compiler

Compiled 192 to 41 computations (78.6% saved)

Precisions

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

ival-pow: 12.0ms (38.3% of total)

ival-mult: 10.0ms (31.9% of total)

ival-add: 6.0ms (19.1% of total)

ival-sub: 2.0ms (6.4% of total)

ival-neg: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.7%)

Memory

-14.0MiB live, 49.1MiB allocated

Counts

11 → 204

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (pow x 4) (pow y 4)) (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 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 x #s(literal 3 binary64)) x (neg.f64 (pow.f64 y #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (pow x 3) x) (neg (pow y 4))) (pow x 3))
2.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (pow x 3) x) (neg (pow y 4))) (pow x 3))
2.0ms	x	@	0	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (pow x 3) x) (neg (pow y 4))) (pow x 3))
2.0ms	y	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (pow x 3) x) (neg (pow y 4))) (pow x 3))
1.0ms	y	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ (* (pow x 3) x) (neg (pow y 4))) (pow x 3))

simplify171.0ms (2.7%)

Memory

6.3MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	1541
1	611	1438
2	2121	1361
0	8480	1335

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

Outputs
(pow.f64 x #s(literal 4 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #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))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 x y) y) (fma.f64 x (/.f64 x y) x)) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
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(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #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))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #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 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #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))
(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))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x x)
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
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(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow.f64 x #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #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 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #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))
(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))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow.f64 x #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))

rewrite158.0ms (2.5%)

Memory

28.1MiB live, 218.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	75
0	32	79
1	117	65
2	818	64
0	8824	64

Stop Event

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

Counts

11 → 1 010

Calls

Call 1

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

Outputs
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eval227.0ms (3.5%)

Memory: -3.6MiB live, 271.5MiB allocated
Compiler: Compiled 30 266 to 1 923 computations (93.6% saved)

prune30.0ms (0.5%)

Memory

16.5MiB live, 90.4MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 312	8	1 320
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	1 314	10	1 324

Accuracy

100.0%

Counts

1 324 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
▶	95.3%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
▶	99.8%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
▶	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))) (*.f64 (+.f64 x y) (-.f64 x y)))
▶	99.9%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
	93.2%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
✓	57.3%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
	59.9%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
▶	57.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
✓	60.0%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 319 to 191 computations (40.1% saved)

simplify140.0ms (2.2%)

Memory

-22.1MiB live, 139.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
cost-diff	832	(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
cost-diff	896	(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))) (*.f64 (+.f64 x y) (-.f64 x y)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
cost-diff	0	(*.f64 (+.f64 x y) (-.f64 x y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	0	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
cost-diff	-5504	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	258
0	53	245
1	98	241
2	249	237
3	965	237
4	3194	224
5	4875	224
0	8028	224

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(-.f64 x y)
x
y
(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))
(+.f64 y x)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 x x (*.f64 y y))
x
(*.f64 y y)
y
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 x y)
#s(literal -1 binary64)

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

localize116.0ms (1.8%)

Memory

23.3MiB live, 138.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
accuracy	0.12175751953688403	(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
accuracy	3.520058355126244	(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
accuracy	3.5457002884873514	(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.09765625	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy	0.3912524853337961	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
accuracy	0.6033055498758287	(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 (+.f64 x y) (-.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	0.09765625	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy	0	(*.f64 x x)
accuracy	0.1171875	(.f64 (.f64 x x) (*.f64 x x))
accuracy	27.327744932855534	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.0703125	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
accuracy	0.08203125	(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))

Samples

81.0ms

256×

valid

Compiler

Compiled 498 to 64 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 18.0ms (41.3% of total)

ival-add: 10.0ms (23% of total)

ival-pow: 8.0ms (18.4% of total)

ival-div: 5.0ms (11.5% of total)

ival-sub: 3.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.5%)

Memory

-26.3MiB live, 56.6MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x))) #<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 (.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 x x (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))) (*.f64 (+.f64 x y) (-.f64 x y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 y y (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (+ x y) (- x y))) (/ 1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ x y) (+ (* (/ x y) (/ x y)) -1))
3.0ms	y	@	inf	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (+ x y) (- x y))) (/ 1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ x y) (+ (* (/ x y) (/ x y)) -1))
3.0ms	x	@	inf	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (+ x y) (- x y))) (/ 1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ x y) (+ (* (/ x y) (/ x y)) -1))
2.0ms	x	@	0	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (+ x y) (- x y))) (/ 1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ x y) (+ (* (/ x y) (/ x y)) -1))
2.0ms	x	@	-inf	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (+ (* x x) (* y y)) (* y y) (* (+ x y) (- x y)) (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (/ 1 (/ 1 (+ (* y y) (* x x)))) (* (+ x y) (- x y))) (/ 1 (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ x y) (/ x y)) -1) y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ x y) (+ (* (/ x y) (/ x y)) -1))

simplify175.0ms (2.7%)

Memory

25.0MiB live, 217.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	4015
1	1102	3682
2	3510	3390
3	7974	3390
0	8820	3241

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 429

Calls

Call 1

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

rewrite180.0ms (2.8%)

Memory

16.1MiB live, 286.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	187
0	53	167
1	202	146
2	1670	146
0	8486	146

Stop Event

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

Counts

20 → 2 064

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(-.f64 x y)
(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))
(+.f64 y x)
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
(*.f64 x x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
(*.f64 (+.f64 x y) (-.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x)))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
(+.f64 x y)
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))

Outputs
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eval505.0ms (7.8%)

Memory: -17.7MiB live, 923.7MiB allocated
Compiler: Compiled 106 241 to 6 464 computations (93.9% saved)

prune125.0ms (1.9%)

Memory

30.4MiB live, 268.5MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	3 382	9	3 391
Fresh	1	2	3
Picked	3	2	5
Done	1	1	2
Total	3 387	14	3 401

Accuracy

100.0%

Counts

3 401 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64))))
▶	99.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
	56.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (/.f64 (*.f64 x x) y)) y)))
✓	99.8%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
	46.3%	(.f64 (fma.f64 x x (.f64 y y)) (.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 y x)))))
	77.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (.f64 (+.f64 x y) (-.f64 x y)))
▶	99.8%	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (*.f64 (+.f64 y x) #s(literal -1 binary64)))))
▶	73.6%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
	71.7%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
	93.2%	(.f64 #s(approx (/ 1 (/ 1 (+ ( y y) (* x x)))) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
▶	59.9%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
✓	60.0%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 575 to 331 computations (42.4% saved)

simplify119.0ms (1.8%)

Memory

4.4MiB live, 119.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 x y)
cost-diff	1088	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
cost-diff	0	#s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 y y)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
cost-diff	0	(-.f64 x y)
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (+.f64 y x) #s(literal -1 binary64)))
cost-diff	192	(*.f64 (+.f64 y x) #s(literal -1 binary64))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (+.f64 y x) #s(literal -1 binary64))))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	346
0	66	350
1	119	335
2	295	327
3	1216	321
4	5116	305
0	8201	305

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (*.f64 (+.f64 y x) #s(literal -1 binary64)))))
(-.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (+.f64 y x) #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))
#s(literal -1 binary64)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 y x) #s(literal -1 binary64))
(+.f64 y x)
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 y y)
(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(-.f64 x y)
x
y
(.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(+.f64 y x)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(*.f64 y y)
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y))
(.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)
#s(approx (* (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y)))
(fma.f64 (/.f64 x y) x (neg.f64 y))
(/.f64 x y)
(neg.f64 y)
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 y x)
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
#s(literal 1 binary64)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)

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

localize149.0ms (2.3%)

Memory

-9.6MiB live, 146.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.078125	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
accuracy	0.6033055498758287	(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.0859375	(fma.f64 (/.f64 x y) x (neg.f64 y))
accuracy	0.09765625	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
accuracy	3.5457002884873514	(.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)
accuracy	0	(*.f64 y y)
accuracy	0.0703125	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
accuracy	0.08203125	(.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
accuracy	25.352292146006725	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 y)
accuracy	0.11166000976844201	(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
accuracy	25.58433282667316	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
accuracy	0.0703125	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (*.f64 (+.f64 y x) #s(literal -1 binary64)))))
accuracy	0.078125	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (+.f64 y x) #s(literal -1 binary64)))
accuracy	0.2689064673769733	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (+.f64 y x) #s(literal -1 binary64))))
accuracy	0.6033055498758287	(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))

Samples

121.0ms

256×

valid

Compiler

Compiled 630 to 83 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-sub: 31.0ms (35.2% of total)

ival-mult: 22.0ms (25% of total)

ival-add: 15.0ms (17% of total)

ival-div: 10.0ms (11.3% of total)

ival-pow: 7.0ms (7.9% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory

23.2MiB live, 59.7MiB allocated

Counts

23 → 492

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1))) (* (+ y x) -1) (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)) (- x y) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (/ (* (- x y) (+ y x)) (/ 1 (+ (* y y) (* x x)))) (/ 1 (+ (* y y) (* x x))) (/ -1 (+ (* y y) (* x x))) (* (- x y) (/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)))) (* (* (neg y) y) (* y y)) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) x) (neg y)))
3.0ms	x	@	-inf	((/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1))) (* (+ y x) -1) (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)) (- x y) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (/ (* (- x y) (+ y x)) (/ 1 (+ (* y y) (* x x)))) (/ 1 (+ (* y y) (* x x))) (/ -1 (+ (* y y) (* x x))) (* (- x y) (/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)))) (* (* (neg y) y) (* y y)) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) x) (neg y)))
3.0ms	y	@	inf	((/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1))) (* (+ y x) -1) (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)) (- x y) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (/ (* (- x y) (+ y x)) (/ 1 (+ (* y y) (* x x)))) (/ 1 (+ (* y y) (* x x))) (/ -1 (+ (* y y) (* x x))) (* (- x y) (/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)))) (* (* (neg y) y) (* y y)) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) x) (neg y)))
3.0ms	y	@	-inf	((/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1))) (* (+ y x) -1) (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)) (- x y) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (/ (* (- x y) (+ y x)) (/ 1 (+ (* y y) (* x x)))) (/ 1 (+ (* y y) (* x x))) (/ -1 (+ (* y y) (* x x))) (* (- x y) (/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)))) (* (* (neg y) y) (* y y)) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) x) (neg y)))
3.0ms	y	@	0	((/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1))) (* (+ y x) -1) (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)) (- x y) (- (pow x 4) (pow y 4)) (* (neg y) y) (neg y) (* y y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (/ (* (- x y) (+ y x)) (/ 1 (+ (* y y) (* x x)))) (/ 1 (+ (* y y) (* x x))) (/ -1 (+ (* y y) (* x x))) (* (- x y) (/ 1 (/ (/ -1 (+ (* y y) (* x x))) (* (+ y x) -1)))) (* (* (neg y) y) (* y y)) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) x) (neg y)))

simplify140.0ms (2.2%)

Memory

-21.1MiB live, 142.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	4796
1	1557	4375
2	5239	4241
0	8242	4093

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 483

Calls

Call 1

Inputs
(pow x 3)
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(* -1 x)
(+ (* -1 x) (* -1 y))
(+ (* -1 x) (* -1 y))
(+ (* -1 x) (* -1 y))
(/ 1 (pow x 3))
(+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))
(+ (* y (- (/ (pow y 3) (pow x 7)) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))
(+ (* y (- (* (pow y 3) (+ (* -1 (/ y (pow x 8))) (/ 1 (pow x 7)))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(pow x 4)
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(+ (* -1 (pow y 4)) (pow x 4))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 3)
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
x
(+ x y)
(+ x y)
(+ x y)
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(/ 1 (pow x 2))
(+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(/ -1 (pow x 2))
(- (/ (pow y 2) (pow x 4)) (/ 1 (pow x 2)))
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) (pow x 8)) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(* -1 (pow y 4))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(/ (pow x 2) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(pow y 3)
(* (pow y 3) (+ 1 (/ x y)))
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
(* -1 y)
(* y (- (* -1 (/ x y)) 1))
(* y (- (* -1 (/ x y)) 1))
(* y (- (* -1 (/ x y)) 1))
(/ 1 (pow y 3))
(/ (+ 1 (* -1 (/ x y))) (pow y 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)) (pow y 3))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (pow x 3))) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) (pow y 3))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
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(/ -1 (pow x 2))
(/ (- (/ (pow y 2) (pow x 2)) 1) (pow x 2))
(/ (- (* -1 (/ (pow y 4) (pow x 4))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (pow x 2))
(/ (- (/ (pow y 6) (pow x 6)) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 4) (pow x 4))))) (pow x 2))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))

Outputs
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 (+.f64 x y) x) x)
(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) x)
(fma.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) y (pow.f64 x #s(literal 3 binary64)))
(neg.f64 x)
(-.f64 (neg.f64 x) y)
(-.f64 (neg.f64 x) y)
(-.f64 (neg.f64 x) y)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 y (pow.f64 x #s(literal 8 binary64)))) (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
x
(-.f64 x y)
(-.f64 x y)
(-.f64 x y)
(pow.f64 x #s(literal 4 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.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)
(pow.f64 x #s(literal 3 binary64))
(.f64 (.f64 (+.f64 x y) x) x)
(.f64 (fma.f64 (+.f64 x y) x (.f64 y y)) x)
(fma.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) y (pow.f64 x #s(literal 3 binary64)))
x
(+.f64 x y)
(+.f64 x y)
(+.f64 x y)
(*.f64 x x)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(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 x x)
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(*.f64 x x)
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 x y) (-.f64 x y))
(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 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y x) #s(literal 1 binary64)) x) x)
(fma.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (-.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(+.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (fma.f64 y (/.f64 y (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.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))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #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))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y)
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y)
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) y)
(pow.f64 y #s(literal 3 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(neg.f64 y)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (neg.f64 (fma.f64 x (/.f64 x y) x)) y)) (pow.f64 y #s(literal 3 binary64)))
(neg.f64 y)
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.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)
(pow.f64 y #s(literal 3 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
y
(fma.f64 (/.f64 x y) y y)
(fma.f64 (/.f64 x y) y y)
(fma.f64 (/.f64 x y) y y)
(*.f64 y y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) (/.f64 (.f64 x (/.f64 x y)) y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -1 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) (/.f64 (.f64 x (/.f64 x y)) y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -1 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(/.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(fma.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) (/.f64 (.f64 x (/.f64 x y)) y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -1 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) (/.f64 (.f64 x (/.f64 x y)) y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal -1 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(neg.f64 y)
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
(pow.f64 y #s(literal 3 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(neg.f64 y)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(neg.f64 y)
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.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)
(pow.f64 y #s(literal 3 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x y) x) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) y) x) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
y
(fma.f64 (/.f64 x y) y y)
(fma.f64 (/.f64 x y) y y)
(fma.f64 (/.f64 x y) y y)
(*.f64 y y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 y y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(*.f64 (neg.f64 y) y)
(*.f64 (neg.f64 y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(/.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y))
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(.f64 (.f64 (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y x) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y x) #s(literal 1 binary64)) x) x)
(.f64 (.f64 (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y x) #s(literal 1 binary64)) x) x)
(*.f64 x (/.f64 x y))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)

rewrite204.0ms (3.2%)

Memory

17.2MiB live, 259.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	270
0	66	260
1	244	225
2	1837	223
0	8254	223

Stop Event

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

Counts

23 → 1 027

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (.f64 (+.f64 y x) #s(literal -1 binary64)))
(-.f64 x y)
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 y y)
(.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(+.f64 y x)
#s(approx (+ (* y y) (* x x)) (*.f64 y y))
(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y))
(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x)))
(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (*.f64 (+.f64 y x) #s(literal -1 binary64)))))
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)
(fma.f64 (/.f64 x y) x (neg.f64 y))

Outputs
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eval300.0ms (4.7%)

Memory: 15.8MiB live, 544.9MiB allocated
Compiler: Compiled 64 740 to 4 448 computations (93.1% saved)

prune50.0ms (0.8%)

Memory

-17.0MiB live, 149.2MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	2 072	6	2 078
Fresh	3	3	6
Picked	4	1	5
Done	0	3	3
Total	2 079	13	2 092

Accuracy

100.0%

Counts

2 092 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y y) (* x x)) (*.f64 x x))))
	99.8%	(/.f64 (neg.f64 (-.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) (+.f64 x y)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))) (+.f64 x y)) (.f64 (-.f64 x y) #s(literal -1 binary64))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (.f64 (-.f64 x y) (neg.f64 (fma.f64 y y (.f64 x x))))))
✓	99.8%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
	77.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y y) (* x x)) (.f64 y y)))) (.f64 (+.f64 x y) (-.f64 x y)))
	71.7%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
	93.2%	(.f64 #s(approx (/ 1 (/ 1 (+ ( y y) (* x x)))) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
	67.8%	(.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
	74.9%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) #s(approx ( (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
✓	59.9%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
✓	60.0%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 847 to 286 computations (66.2% saved)

regimes40.0ms (0.6%)

Memory

-4.0MiB live, 74.7MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))

Calls

5 calls:

9.0ms	x
8.0ms	y
8.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
7.0ms	(pow.f64 y #s(literal 4 binary64))
7.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
99.9%	1	`(pow.f64 x #s(literal 4 binary64))`
99.9%	1	`(pow.f64 y #s(literal 4 binary64))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes12.0ms (0.2%)

Memory

32.3MiB live, 32.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
95.3%	3	`x`
95.7%	3	`y`
99.6%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
94.4%	2	`(pow.f64 x #s(literal 4 binary64))`
95.1%	2	`(pow.f64 y #s(literal 4 binary64))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes4.0ms (0.1%)

Memory

-33.7MiB live, 4.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))

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

(*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))

Outputs

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

#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))

(*.f64 #s(approx (- x y) (neg.f64 y)) (*.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
97.8%	3	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
85.4%	3	`x`
83.4%	3	`y`
84.9%	2	`(pow.f64 x #s(literal 4 binary64))`
82.6%	2	`(pow.f64 y #s(literal 4 binary64))`
92.7%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Calls

5 calls:

1.0ms	x
1.0ms	y
1.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
57.2%	1	`y`
57.2%	1	`(pow.f64 y #s(literal 4 binary64))`
57.2%	1	`x`
57.2%	1	`(pow.f64 x #s(literal 4 binary64))`
57.2%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.011785775724173e-309	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-3.011785775724173e-309	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.011785775724173e-309	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify26.0ms (0.4%)

Memory

-25.7MiB live, 51.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	188
1	58	188
2	68	188
3	75	188
4	79	188
5	80	188

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal +inf.0 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(approx (- x y) (neg.f64 y)) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Outputs
(.f64 (.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (-.f64 x y))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 (neg.f64 y) y))) (.f64 (.f64 #s(approx (+ ( y y) (* x x)) (*.f64 x x)) (+.f64 y x)) (-.f64 x y)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 (neg.f64 y) y))) (if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal +inf.0 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) (+.f64 y x)) #s(approx (- x y) (neg.f64 y)))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 (neg.f64 y) y))) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

soundness1.2s (18.5%)

Memory

-19.4MiB live, 742.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	37	219
2	67	219
3	168	219
4	343	219
5	621	219
6	2848	219
7	5718	219
0	8243	219
0	6	13
0	9	13
1	36	13
2	225	13
3	1989	13
0	8607	13
0	495	4796
1	1557	4375
2	5239	4241
0	8242	4093
0	355	4015
1	1102	3682
2	3510	3390
3	7974	3390
0	8820	3241
0	20	75
0	32	79
1	117	65
2	818	64
0	8824	64

Stop Event

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

Compiler

Compiled 507 to 226 computations (55.4% saved)

preprocess45.0ms (0.7%)

Memory: -10.1MiB live, 103.7MiB allocated
Compiler: Compiled 390 to 96 computations (75.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	41
1	30	41
2	68	39
3	121	39
4	213	39
5	333	39
6	376	39
7	396	39
0	6	7
0	9	7
1	11	7
2	16	7
3	22	7
4	30	7
5	45	7
6	78	7
7	103	7
8	145	7
9	160	7
10	168	7
0	168	7

Iter	Nodes	Cost
0	6	16
0	9	16
1	11	16
2	16	16
3	22	16
4	30	16
5	45	16
6	78	16
7	103	16
8	145	16
9	160	16
10	168	16
0	168	16

Iter	Nodes	Cost
0	14	41
1	30	41
2	68	39
3	121	39
4	213	39
5	333	39
6	376	39
7	396	39
0	6	7
0	9	7
1	11	7
2	16	7
3	22	7
4	30	7
5	45	7
6	78	7
7	103	7
8	145	7
9	160	7
10	168	7
0	168	7

Iter	Nodes	Cost
0	6	16
0	9	16
1	11	16
2	16	16
3	22	16
4	30	16
5	45	16
6	78	16
7	103	16
8	145	16
9	160	16
10	168	16
0	168	16

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (22%)

explain76.0ms (1.2%)

preprocess20.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.2%)

localize21.0ms (0.3%)

series50.0ms (0.8%)

simplify154.0ms (2.4%)

rewrite185.0ms (2.9%)

eval27.0ms (0.4%)

prune8.0ms (0.1%)

simplify159.0ms (2.5%)

localize60.0ms (0.9%)

series47.0ms (0.7%)

simplify171.0ms (2.7%)

rewrite158.0ms (2.5%)

eval227.0ms (3.5%)

prune30.0ms (0.5%)

simplify140.0ms (2.2%)

localize116.0ms (1.8%)

series35.0ms (0.5%)

simplify175.0ms (2.7%)

rewrite180.0ms (2.8%)

eval505.0ms (7.8%)

prune125.0ms (1.9%)

simplify119.0ms (1.8%)

localize149.0ms (2.3%)

series41.0ms (0.6%)

simplify140.0ms (2.2%)

rewrite204.0ms (3.2%)

eval300.0ms (4.7%)

prune50.0ms (0.8%)

regimes40.0ms (0.6%)

regimes12.0ms (0.2%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.4%)

soundness1.2s (18.5%)

preprocess45.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	41
1	30	41
2	68	39
3	121	39
4	213	39
5	333	39
6	376	39
7	396	39
0	6	7
0	9	7
1	11	7
2	16	7
3	22	7
4	30	7
5	45	7
6	78	7
7	103	7
8	145	7
9	160	7
10	168	7
0	168	7

Iter	Nodes	Cost
0	6	16
0	9	16
1	11	16
2	16	16
3	22	16
4	30	16
5	45	16
6	78	16
7	103	16
8	145	16
9	160	16
10	168	16
0	168	16