Metrics for Radioactive exchange between two surfaces

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample1.1s (27.4%)

Memory

14.7MiB live, 1 113.6MiB allocated; 254ms collecting garbage

Samples

811.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 552.0ms

ival-pow: 491.0ms (89% of total)

ival-sub: 44.0ms (8% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain82.0ms (2.1%)

Memory

-0.5MiB live, 137.1MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
36	-	-	`(-.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	36	0
↳	`(pow.f64 x #s(literal 4 binary64))`	overflow	80
↳	`(pow.f64 y #s(literal 4 binary64))`	overflow	99

Confusion

	Predicted +	Predicted -
+	36	0
-	0	220

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	0
-	0	0	220

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-pow: 24.0ms (86.3% of total)

ival-sub: 2.0ms (7.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.5%)

Memory

-25.3MiB live, 26.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
0	6	7
0	9	7
0	9	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

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
0	9	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

localize23.0ms (0.6%)

Memory

-8.9MiB live, 38.0MiB allocated; 4ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	8.136679530773911	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-pow: 7.0ms (77.6% of total)

ival-sub: 1.0ms (11.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

3 → 8

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
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
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	x	@	inf	((- (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	y	@	-inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))

simplify102.0ms (2.5%)

Memory

32.1MiB live, 124.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	103
1	45	103
2	96	103
3	289	103
4	1436	103
5	5996	103
0	8195	103

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))

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

rewrite46.0ms (1.1%)

Memory

-34.0MiB live, 61.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	34	13
0	231	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 28

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
(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(fma.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))
(fma.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (.f64 x x)) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))
(fma.f64 (.f64 x x) (.f64 x x) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (neg.f64 (.f64 y y)) (*.f64 y y)))
(.f64 (neg.f64 (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (fabs.f64 (.f64 x x)) (fabs.f64 (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(.f64 (neg.f64 (.f64 y y)) (neg.f64 (*.f64 y y)))
(.f64 (fabs.f64 (.f64 y y)) (fabs.f64 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))

eval3.0ms (0.1%)

Memory: 5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 469 to 103 computations (78% saved)

prune2.0ms (0%)

Memory

4.0MiB live, 3.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	4	35

Accuracy

100.0%

Counts

35 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
▶	95.1%	(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
▶	57.3%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
▶	59.3%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify452.0ms (11.3%)

Memory

28.7MiB live, 481.6MiB allocated; 97ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
cost-diff	4	(.f64 (.f64 y y) (*.f64 y y))
cost-diff	0	(-.f64 (.f64 x x) (.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	7	(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y 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: 3 (0.0ms)

Iter	Nodes	Cost
0	18	99
0	27	98
1	55	96
2	230	88
3	1097	84
4	4962	84
0	8020	84

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

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

localize46.0ms (1.2%)

Memory

19.8MiB live, 75.7MiB allocated; 10ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	0.11003876953688403	(.f64 (.f64 y y) (*.f64 y y))
accuracy	8.136679530773911	(-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.13671875	(.f64 (fma.f64 x x (.f64 y y)) (-.f64 (.f64 x x) (.f64 y y)))
accuracy	2.6015542433208236	(-.f64 (.f64 x x) (.f64 y y))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	27.29677093003607	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	26.05153698430306	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Samples

36.0ms

256×

valid

Compiler

Compiled 94 to 16 computations (83% saved)

Precisions

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

ival-pow: 8.0ms (32.8% of total)

ival-add: 6.0ms (24.6% of total)

ival-mult: 6.0ms (24.6% of total)

ival-sub: 3.0ms (12.3% of total)

ival-neg: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.9%)

Memory

-31.0MiB live, 15.5MiB allocated; 2ms collecting garbage

Counts

12 → 39

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

Outputs
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (neg (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (* (* y y) (* y y)) #s(hole binary64 (pow y 4)))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (* x x))
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) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (* x x))
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) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (* x x))
1.0ms	x	@	0	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (* x x))
1.0ms	x	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (* y y) (* y y)) (- (pow x 4) (* (* y y) (* y y))) (* x x))

simplify204.0ms (5.1%)

Memory

18.2MiB live, 242.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	553
1	281	549
2	1327	549
0	8312	540

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (neg (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (* (* y y) (* y y)) #s(hole binary64 (pow y 4)))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (- (pow x 4) (* (* y y) (* y y))) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))

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

rewrite46.0ms (1.1%)

Memory

29.7MiB live, 75.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	27	69
1	111	69
0	776	69

Stop Event

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

Counts

12 → 318

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

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

eval78.0ms (2%)

Memory: -25.6MiB live, 70.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 5 836 to 805 computations (86.2% saved)

prune12.0ms (0.3%)

Memory

-8.1MiB live, 35.5MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	314	7	321
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	316	9	325

Accuracy

100.0%

Counts

325 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
	78.4%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (.f64 y y))))
	83.5%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))))
✓	57.3%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
▶	59.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
▶	57.3%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 x x) x) x))
▶	59.2%	#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)))
✓	59.3%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 285 to 173 computations (39.3% saved)

simplify272.0ms (6.8%)

Memory

41.8MiB live, 315.6MiB allocated; 151ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
cost-diff	2	(.f64 (.f64 (neg.f64 y) y) y)
cost-diff	2	(.f64 (.f64 (*.f64 (neg.f64 y) y) 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	4	(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 x x) x) x))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	2	(.f64 (.f64 (*.f64 x x) 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	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 x x (*.f64 y y))
cost-diff	7	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	166
0	40	166
1	75	146
2	217	133
3	714	123
4	3155	123
0	8282	123

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (1.8%)

Memory

3.3MiB live, 197.0MiB allocated; 19ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.0859375	(.f64 (.f64 (*.f64 (neg.f64 y) y) y) y)
accuracy	0.0859375	(.f64 (.f64 (neg.f64 y) y) y)
accuracy	26.05153698430306	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(neg.f64 y)
accuracy	0.11003876953688403	(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
accuracy	26.05153698430306	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	27.29677093003607	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 x x) x) x))
accuracy	0.0	(*.f64 x x)
accuracy	0.171875	(.f64 (.f64 x x) (*.f64 x x))
accuracy	27.29677093003607	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (-.f64 x y) (+.f64 y x))
accuracy	0.0	(*.f64 y y)
accuracy	0.13671875	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))

Samples

54.0ms

256×

valid

Compiler

Compiled 136 to 23 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 16.0ms (39.9% of total)

ival-pow: 15.0ms (37.4% of total)

ival-sub: 5.0ms (12.5% of total)

ival-add: 2.0ms (5% of total)

ival-neg: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.4%)

Memory

-1.5MiB live, 45.3MiB allocated; 3ms collecting garbage

Counts

18 → 60

Calls

Call 1

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

Outputs
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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)))))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (* (* (neg y) y) (* y y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (* (* (neg y) y) y) y) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (* (neg y) y) y) #s(hole binary64 (* -1 (pow y 3))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

simplify134.0ms (3.3%)

Memory

-11.8MiB live, 214.5MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	1055
1	819	990
2	3500	780
0	8226	764

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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)))))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (pow x 2)))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (* (* (neg y) y) (* y y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (* (* (neg y) y) y) y) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (* (neg y) y) y) #s(hole binary64 (* -1 (pow y 3))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (- x y) (+ y x)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite283.0ms (7.1%)

Memory

0.2MiB live, 210.4MiB allocated; 230ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	145
0	40	127
1	130	102
0	934	102

Stop Event

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

Counts

18 → 270

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 x x (*.f64 y y)) (+.f64 y x)) (-.f64 x y))
(.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 (.f64 (neg.f64 x) x) (.f64 y y)))
(.f64 (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))) (+.f64 y x))
(.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (fma.f64 x x (*.f64 y y)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 x x (*.f64 y y))))
(.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (*.f64 (neg.f64 y) y)))
(/.f64 (.f64 (.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))) (fma.f64 y y (.f64 (neg.f64 x) x))) (-.f64 y x))
(/.f64 (.f64 (.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (.f64 y y)))
(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (*.f64 (neg.f64 y) y)))
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(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(neg.f64 (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(neg.f64 (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (*.f64 (neg.f64 y) y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y)
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(*.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(neg.f64 y)
(.f64 (.f64 (*.f64 (neg.f64 y) y) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) (*.f64 (neg.f64 y) y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y)
(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(*.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(.f64 (.f64 (neg.f64 y) (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (neg.f64 y) y) y)
(.f64 (neg.f64 y) (.f64 y y))
(.f64 (.f64 y y) (neg.f64 y))
(.f64 y (.f64 (neg.f64 y) y))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(neg.f64 (pow.f64 y #s(literal 3 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (-.f64 x y))
(/.f64 (fma.f64 y y (*.f64 (neg.f64 x) x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (.f64 y y))))
(+.f64 y x)
(+.f64 x y)

eval37.0ms (0.9%)

Memory: 11.4MiB live, 108.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 6 261 to 907 computations (85.5% saved)

prune14.0ms (0.4%)

Memory

1.6MiB live, 48.8MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	322	2	324
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	322	11	333

Accuracy

100.0%

Counts

333 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
▶	97.3%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
▶	78.4%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (.f64 y y))))
▶	83.5%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))))
▶	94.5%	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 x y) (+.f64 y x)))
✓	57.3%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
✓	59.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
✓	57.3%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 x x) x) x))
✓	59.2%	#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)))
✓	59.3%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 203 to 122 computations (39.9% saved)

simplify176.0ms (4.4%)

Memory

-18.8MiB live, 212.8MiB allocated; 18ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
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) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
cost-diff	3	(fma.f64 (/.f64 x y) y 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)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (.f64 y y))))
cost-diff	5	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (.f64 y y))
cost-diff	0	#s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x)))
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)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))))
cost-diff	0	(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
cost-diff	0	#s(approx (+ (* x x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 x y) (+.f64 y x)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	342
0	60	334
1	138	334
2	446	315
3	1838	315
0	8602	315

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (2.5%)

Memory

2.4MiB live, 144.9MiB allocated; 27ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))
accuracy	0.13671875	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
accuracy	7.400165160506416	(fma.f64 (/.f64 x y) y y)
accuracy	0.0	#s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (.f64 y y)))
accuracy	0.10546875	(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
accuracy	0.13671875	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (.f64 y y))))
accuracy	15.395119796316457	(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (.f64 y y))
accuracy	0.0	#s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x)))
accuracy	0.1015625	(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))
accuracy	0.13671875	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))))
accuracy	12.467404583484033	(.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (.f64 x x))
accuracy	0.1015625	(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
accuracy	0.13671875	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (-.f64 x y) (+.f64 y x)))
accuracy	2.6565669784156047	(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x)
accuracy	3.3695089296828833	(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)

Samples

57.0ms

256×

valid

Compiler

Compiled 260 to 29 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 17.0ms (45.6% of total)

ival-add: 7.0ms (18.8% of total)

ival-neg: 6.0ms (16.1% of total)

ival-div: 4.0ms (10.7% of total)

ival-sub: 2.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

18 → 92

Calls

Call 1

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

Outputs
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (pow y 2)))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (/ (pow y 2) x)))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (/ (+ (pow x 2) (pow y 2)) x)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 y))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 (/ (+ (pow x 2) (pow y 2)) (pow x 2))))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 (- (/ (pow x 2) (pow y 2)) 1)))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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)))))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 x))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 (+ 1 (/ (pow y 2) (pow x 2)))))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 (- (/ (pow y 2) (pow x 2)) 1)))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1)))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (+ x (/ (pow y 2) x))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 x) (/ x (pow y 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 (* (pow y 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* x x) (* y y)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (+ (* (/ x y) (/ x y)) -1) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* (/ x y) y) y) (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* (/ y x) (/ y x)) 1) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1) (+ (* (/ x y) (/ x y)) -1) (- (* x x) (* y y)) (+ y x))
2.0ms	y	@	inf	((* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* x x) (* y y)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (+ (* (/ x y) (/ x y)) -1) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* (/ x y) y) y) (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* (/ y x) (/ y x)) 1) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1) (+ (* (/ x y) (/ x y)) -1) (- (* x x) (* y y)) (+ y x))
2.0ms	y	@	0	((* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* x x) (* y y)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (+ (* (/ x y) (/ x y)) -1) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* (/ x y) y) y) (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* (/ y x) (/ y x)) 1) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1) (+ (* (/ x y) (/ x y)) -1) (- (* x x) (* y y)) (+ y x))
2.0ms	x	@	0	((* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* x x) (* y y)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (+ (* (/ x y) (/ x y)) -1) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* (/ x y) y) y) (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* (/ y x) (/ y x)) 1) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1) (+ (* (/ x y) (/ x y)) -1) (- (* x x) (* y y)) (+ y x))
2.0ms	x	@	-inf	((* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* x x) (* y y)) (* (* (+ (* (/ y x) (/ y x)) 1) x) x) (* (+ (* (/ y x) (/ y x)) 1) x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* (+ (* (/ x y) (/ x y)) -1) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* (/ x y) y) y) (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) (+ (* (/ y x) (/ y x)) 1) (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) (+ (* (/ y x) (/ y x)) -1) (+ (* (/ x y) (/ x y)) -1) (- (* x x) (* y y)) (+ y x))

simplify217.0ms (5.4%)

Memory

-7.7MiB live, 182.1MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	1948
1	945	1571
2	4075	1531
0	8123	1460

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

Inputs
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (pow y 3))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* -1 (pow y 4)) (* x (+ (* -1 (pow y 3)) (+ (* x (+ (* -1 (pow y 2)) (+ (* x (+ y (* -1 y))) (pow y 2)))) (pow y 3)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (pow y 2)))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (/ (pow y 2) x)))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (/ (+ (pow x 2) (pow y 2)) x)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 y))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 (/ (+ (pow x 2) (pow y 2)) (pow x 2))))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 (- (/ (pow x 2) (pow y 2)) 1)))
#s(approx (+ y x) #s(hole binary64 y))
#s(approx (+ y x) #s(hole binary64 (+ x y)))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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)))))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 x))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 (+ 1 (/ (pow y 2) (pow x 2)))))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 (- (/ (pow y 2) (pow x 2)) 1)))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
#s(approx (+ y x) #s(hole binary64 x))
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) (pow x 2))) 1)))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (+ x (/ (pow y 2) x))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ x y) (/ x y)) -1) #s(hole binary64 (/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (* (* (+ (* (/ y x) (/ y x)) 1) x) x) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (* (+ (* (/ y x) (/ y x)) 1) x) #s(hole binary64 (* (pow y 2) (+ (/ 1 x) (/ x (pow y 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (* (+ (* (/ x y) (/ x y)) -1) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* (/ y x) (/ y x)) 1) #s(hole binary64 (* (pow y 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (* (neg (+ (* (/ y x) (/ y x)) -1)) (* x x)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
#s(approx (+ (* (/ y x) (/ y x)) -1) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))))
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (pow y 4) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) y)) 1))))
#s(approx (* (+ (* x x) (* y y)) (* (- x y) (+ y x))) #s(hole binary64 (* (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))))
#s(approx (+ (* (/ x y) y) y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite82.0ms (2.1%)

Memory

25.1MiB live, 114.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	259
0	60	246
1	223	246
0	1851	246

Stop Event

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

Counts

18 → 344

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 y x)) (-.f64 x y))
(.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (+.f64 y x))
(.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 y x) (-.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (*.f64 y y)))
(/.f64 (.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) y (.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) x))
(fma.f64 (.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) x (.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) y))
(fma.f64 (.f64 (-.f64 x y) y) #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (-.f64 x y) x) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (.f64 x x) #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (neg.f64 y) y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 x y) y) (.f64 #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 x y) x)))
(fma.f64 #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (.f64 x x) (.f64 #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (neg.f64 y) y)))
(fma.f64 y (.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (.f64 x (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(fma.f64 x (.f64 (-.f64 x y) #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (.f64 y (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(+.f64 (.f64 y (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))) (.f64 x (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(+.f64 (.f64 x (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))) (.f64 y (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(+.f64 (.f64 (.f64 (-.f64 x y) y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 (-.f64 x y) x) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 (neg.f64 y) y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(+.f64 (.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) y) (.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) x))
(+.f64 (.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) x) (.f64 (.f64 (-.f64 x y) #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))) y))
(+.f64 (.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 x y) y)) (.f64 #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 x y) x)))
(+.f64 (.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (.f64 x x)) (.f64 #s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (neg.f64 y) y)))
#s(approx (+ (* x x) (* y y)) (.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 x x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
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(fma.f64 (.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 (/.f64 y x)) #s(literal -1 binary64)) (.f64 (fabs.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 (/.f64 y x)) #s(literal 1 binary64)) (.f64 (fabs.f64 (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 y x) #s(literal -1 binary64)) (.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 y x) #s(literal 1 binary64)) (.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 y) (fabs.f64 x)) (/.f64 (neg.f64 y) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 y) (neg.f64 x)) (/.f64 (fabs.f64 y) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 y) x) (/.f64 (fabs.f64 y) x) #s(literal -1 binary64))
(fma.f64 (/.f64 y (fabs.f64 x)) (/.f64 y (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 y x))) (neg.f64 (fabs.f64 (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 y x))) (fabs.f64 (fabs.f64 (/.f64 y x))) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 y x)) (*.f64 (fabs.f64 (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 y x)) (fabs.f64 (/.f64 y x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 y (/.f64 (/.f64 y x) x) #s(literal -1 binary64))
(fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(*.f64 (+.f64 (fabs.f64 (/.f64 x y)) #s(literal 1 binary64)) (-.f64 (fabs.f64 (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) (fabs.f64 y)) (/.f64 (neg.f64 x) (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 y)) (/.f64 (fabs.f64 x) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fabs.f64 x) y) (/.f64 (fabs.f64 x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x (fabs.f64 y)) (/.f64 x (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 x y))) (neg.f64 (fabs.f64 (/.f64 x y))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 x y))) (fabs.f64 (fabs.f64 (/.f64 x y))) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 x (/.f64 (/.f64 x y) y) #s(literal -1 binary64))
(fma.f64 x (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 (/.f64 x y))) (fabs.f64 (/.f64 x y))))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) (/.f64 (neg.f64 x) y)))
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(approx (- (* x x) (* y y)) (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 y y)))
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y))

eval61.0ms (1.5%)

Memory: -5.3MiB live, 146.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 17 546 to 1 784 computations (89.8% saved)

prune39.0ms (1%)

Memory

-1.1MiB live, 45.2MiB allocated; 3ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	538	5	543
Fresh	0	0	0
Picked	3	1	4
Done	0	7	7
Total	541	13	554

Accuracy

100.0%

Counts

554 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
✓	97.3%	(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))))
	94.1%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (fma.f64 (.f64 (.f64 (/.f64 x y) y) (/.f64 x y)) y (.f64 (.f64 y y) #s(literal -1 binary64)))))
	67.6%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (fma.f64 x (/.f64 x (.f64 y y)) #s(literal -1 binary64)) (*.f64 y y))))
	73.7%	(.f64 (fma.f64 x x (.f64 y y)) #s(approx (- (* x x) (* y y)) (.f64 (neg.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal -1 binary64))) (*.f64 x x))))
	86.0%	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 (.f64 (fma.f64 y (/.f64 y (.f64 x x)) #s(literal 1 binary64)) x) x)) (.f64 (-.f64 x y) (+.f64 y x)))
	69.7%	(.f64 #s(approx (+ ( x x) (* y y)) (.f64 #s(approx ( (+ (* (/ y x) (/ y x)) 1) x) (.f64 (/.f64 y x) y)) x)) (.f64 (-.f64 x y) (+.f64 y x)))
✓	57.3%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
✓	59.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) y))
✓	57.3%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 x x) x) x))
✓	59.2%	#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)))
✓	59.3%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 653 to 252 computations (61.4% saved)

regimes55.0ms (1.4%)

Memory

-12.6MiB live, 38.6MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

5 calls:

36.0ms	x
5.0ms	y
4.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
4.0ms	(pow.f64 x #s(literal 4 binary64))
4.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`(pow.f64 y #s(literal 4 binary64))`
99.8%	1	`(pow.f64 x #s(literal 4 binary64))`
99.8%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes9.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

4 → 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 (*.f64 x x) x) x))
#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 (*.f64 (neg.f64 y) y) y) y))

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

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(-.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
84.9%	2	`(pow.f64 y #s(literal 4 binary64))`
81.0%	2	`(pow.f64 x #s(literal 4 binary64))`
92.1%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
82.9%	3	`x`
85.7%	3	`y`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes6.0ms (0.1%)

Memory

-40.7MiB live, 3.6MiB allocated; 5ms collecting garbage

Counts

3 → 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 (*.f64 x x) 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 (*.f64 x x) x) x))

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
92.1%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

2 → 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 (*.f64 x x) x) x))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.3%	1	`(pow.f64 x #s(literal 4 binary64))`
57.3%	1	`x`
57.3%	1	`y`
57.3%	1	`(pow.f64 y #s(literal 4 binary64))`
57.3%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

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	y
1.0ms	x
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 x #s(literal 4 binary64))`
57.2%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
57.2%	1	`x`
57.2%	1	`(pow.f64 y #s(literal 4 binary64))`

Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.245657406317758e-277	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.245657406317758e-277	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify12.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	126
1	41	126
2	53	126
3	65	126
4	71	126
5	72	126

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1218164251425/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 x x) x) x)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1218164251425/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 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 (.f64 x x) x) x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Outputs
(.f64 (fma.f64 x x (.f64 y y)) (*.f64 (-.f64 x y) (+.f64 y x)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1218164251425/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 (neg.f64 y) y) y) y)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (.f64 x x) x) x)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1218164251425/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 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 (.f64 x x) x) x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

derivations95.0ms (2.4%)

Memory

-34.5MiB live, 57.6MiB allocated; 6ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 126 to 33 computations (73.8% saved)

preprocess28.0ms (0.7%)

Memory: -4.3MiB live, 46.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 266 to 78 computations (70.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (27.4%)

explain82.0ms (2.1%)

preprocess22.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.6%)

series5.0ms (0.1%)

simplify102.0ms (2.5%)

rewrite46.0ms (1.1%)

eval3.0ms (0.1%)

prune2.0ms (0%)

simplify452.0ms (11.3%)

localize46.0ms (1.2%)

series35.0ms (0.9%)

simplify204.0ms (5.1%)

rewrite46.0ms (1.1%)

eval78.0ms (2%)

prune12.0ms (0.3%)

simplify272.0ms (6.8%)

localize70.0ms (1.8%)

series17.0ms (0.4%)

simplify134.0ms (3.3%)

rewrite283.0ms (7.1%)

eval37.0ms (0.9%)

prune14.0ms (0.4%)

simplify176.0ms (4.4%)

localize100.0ms (2.5%)

series14.0ms (0.4%)

simplify217.0ms (5.4%)

rewrite82.0ms (2.1%)

eval61.0ms (1.5%)

prune39.0ms (1%)

regimes55.0ms (1.4%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.3%)

derivations95.0ms (2.4%)

preprocess28.0ms (0.7%)

end0.0ms (0%)

Profiling