Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	8.1%	91.9%	0%	0%	0%	0
0%	0%	8.1%	91.9%	0%	0%	0%	1
50%	4.1%	4.1%	91.9%	0%	0%	0%	2
75%	6.1%	2%	91.9%	0%	0%	0%	3
87.5%	7.1%	1%	91.9%	0%	0%	0%	4
93.8%	7.6%	0.5%	91.9%	0%	0%	0%	5
96.9%	7.9%	0.3%	91.9%	0%	0%	0%	6
98.4%	8%	0.1%	91.9%	0%	0%	0%	7
99.2%	8%	0.1%	91.9%	0%	0%	0%	8
99.6%	8.1%	0%	91.9%	0%	0%	0%	9
99.8%	8.1%	0%	91.9%	0%	0%	0%	10
99.9%	8.1%	0%	91.9%	0%	0%	0%	11
100%	8.1%	0%	91.9%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (35.5%)

Memory

48.4MiB live, 1 343.5MiB allocated; 248ms collecting garbage

Samples

1.2s	7 347×	1	valid
136.0ms	674×	2	valid
16.0ms	235×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

adjust: 393.0ms (36.7% of total)

ival-atan: 324.0ms (30.3% of total)

const: 112.0ms (10.5% of total)

ival-add: 92.0ms (8.6% of total)

ival-sub: 84.0ms (7.9% of total)

ival->: 24.0ms (2.2% of total)

ival-<: 20.0ms (1.9% of total)

ival-and: 11.0ms (1% of total)

exact: 7.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain123.0ms (2.7%)

Memory

-9.7MiB live, 126.7MiB allocated; 16ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
252	-	1	(3.7144283277556993)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	251	0

Confusion

	Predicted +	Predicted -
+	251	1
-	0	4

Precision

1.0

Recall

0.996031746031746

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	251	0	1
-	0	0	4

Precision?

1.0

Recall?

0.996031746031746

Freqs

test

number	freq
0	5
1	251

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms	450×	1	valid
8.0ms	42×	2	valid
1.0ms	20×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-atan: 20.0ms (39.4% of total)

adjust: 20.0ms (39.4% of total)

ival-add: 5.0ms (9.9% of total)

ival-sub: 5.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess222.0ms (4.8%)

Memory

-3.4MiB live, 142.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19
2	14	19
3	25	19
4	61	19
5	267	17
6	2316	17
7	5696	17
0	6	7
0	10	7
1	13	7
2	16	7
3	27	7
4	61	7
5	252	7
6	2195	7
7	5491	7
0	8635	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify163.0ms (3.5%)

Memory

26.2MiB live, 121.6MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(atan.f64 N)
cost-diff	0	(+.f64 N #s(literal 1 binary64))
cost-diff	0	(atan.f64 (+.f64 N #s(literal 1 binary64)))
cost-diff	0	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	13	18
2	16	18
3	27	18
4	61	18
5	252	18
6	2195	18
7	5491	18
0	8635	18

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)

Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)

localize43.0ms (0.9%)

Memory

8.5MiB live, 54.4MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 N #s(literal 1 binary64))
accuracy	0.0	(atan.f64 N)
accuracy	0.00390625	(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy	57.566111789850076	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

31.0ms	225×	1	valid
4.0ms	21×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-atan: 10.0ms (39.6% of total)

adjust: 10.0ms (39.6% of total)

ival-add: 3.0ms (11.9% of total)

ival-sub: 2.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Counts

4 → 9

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
(atan.f64 N)

Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (atan N))
0.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (atan N))
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (atan N))

simplify95.0ms (2.1%)

Memory

-15.8MiB live, 74.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	77
1	43	77
2	63	77
3	173	77
4	1164	77
5	7143	77
0	8107	77

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

Inputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))

Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (atan N) (atan.f64 N))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) N)
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))

rewrite58.0ms (1.3%)

Memory

-5.1MiB live, 47.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	43	16
0	299	16

Stop Event

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

Counts

4 → 21

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
(atan.f64 N)

Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(atan.f64 N)

eval3.0ms (0.1%)

Memory: 8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 420 to 101 computations (76% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	1	28

Accuracy

21.4%

Counts

28 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify127.0ms (2.8%)

Memory

31.4MiB live, 140.2MiB allocated; 20ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
cost-diff	4	(-.f64 (-.f64 N #s(literal -1 binary64)) N)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	33
1	18	33
2	28	33
3	52	21
4	107	21
5	444	21
6	4808	21
0	8293	21

Stop Event

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

Calls

Call 1

Inputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 1 binary64)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)

localize99.0ms (2.2%)

Memory

-28.2MiB live, 70.4MiB allocated; 85ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 N #s(literal -1 binary64))
accuracy	0.00390625	(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
accuracy	0.28125	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
accuracy	50.877386253289394	(-.f64 (-.f64 N #s(literal -1 binary64)) N)

Samples

55.0ms	61×	0	valid
37.0ms	195×	1	valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

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

adjust: 19.0ms (59.7% of total)

ival-sub: 4.0ms (12.6% of total)

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

ival-atan2: 3.0ms (9.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Counts

4 → 14

Calls

Call 1

Inputs
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 N #s(literal -1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))

Outputs
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	((- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- N -1) (+ (* (- N -1) N) 1))
0.0ms	N	@	-inf	((- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- N -1) (+ (* (- N -1) N) 1))
0.0ms	N	@	0	((- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- N -1) (+ (* (- N -1) N) 1))

Time

Variable

Point

Expression

0.0ms

inf

((- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- N -1) (+ (* (- N -1) N) 1))

0.0ms

-inf

((- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- N -1) (+ (* (- N -1) N) 1))

0.0ms

((- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- N -1) (+ (* (- N -1) N) 1))

simplify126.0ms (2.7%)

Memory

-19.7MiB live, 117.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	178
1	94	174
2	243	174
3	1054	158
4	7208	158
0	8035	143

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))

Outputs
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) N)
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

rewrite27.0ms (0.6%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	26
0	12	26
1	53	21
0	432	21

Stop Event

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

Counts

4 → 39

Calls

Call 1

Inputs
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 N #s(literal -1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))

Outputs
(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (*.f64 N (+.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(-.f64 N #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))

eval19.0ms (0.4%)

Memory: -38.6MiB live, 17.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 181 to 199 computations (83.1% saved)

prune2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	3	60

Accuracy

99.6%

Counts

60 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

20.1%

(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))

▶

5.5%

(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))

▶

99.6%

(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 60 to 37 computations (38.3% saved)

simplify242.0ms (5.3%)

Memory

22.6MiB live, 153.7MiB allocated; 28ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
cost-diff	2	(-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))
cost-diff	4	(-.f64 (-.f64 N #s(literal -1 binary64)) N)
cost-diff	0	#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
cost-diff	4	(-.f64 (-.f64 N #s(literal -1 binary64)) N)
cost-diff	0	(-.f64 N #s(literal -1 binary64))
cost-diff	0	(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
cost-diff	0	#s(approx (- (- N -1) N) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	187
0	38	179
1	60	179
2	124	179
3	435	163
4	1400	163
5	4376	163
0	8374	157

Stop Event

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

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 3 binary64)
(-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))
(+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 1 binary64)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 1 binary64)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 3 binary64)
(-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))
(fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)

localize149.0ms (3.2%)

Memory

-1.8MiB live, 102.4MiB allocated; 17ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.35546875	(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))
accuracy	0.3884927246741665	(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
accuracy	29.259023719432022	(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
accuracy	50.877386253289394	(-.f64 (-.f64 N #s(literal -1 binary64)) N)
accuracy	0.0	(-.f64 N #s(literal -1 binary64))
accuracy	0.28125	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
accuracy	50.877386253289394	(-.f64 (-.f64 N #s(literal -1 binary64)) N)
accuracy	59.81705842723806	#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
accuracy	0.0	(-.f64 N #s(literal -1 binary64))
accuracy	0.0	#s(approx (- (- N -1) N) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
accuracy	0.28125	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Samples

125.0ms	195×	1	valid
7.0ms	61×	0	valid

Compiler

Compiled 185 to 19 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-pow2: 58.0ms (50.5% of total)

ival-sub: 19.0ms (16.6% of total)

adjust: 18.0ms (15.7% of total)

ival-atan2: 5.0ms (4.4% of total)

ival-pow: 4.0ms (3.5% of total)

ival-add: 4.0ms (3.5% of total)

ival-div: 3.0ms (2.6% of total)

ival-mult: 3.0ms (2.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

12 → 48

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 1))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 1))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (pow N 4)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (- N -1) (- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (pow (* (- N -1) N) 3) (pow (* (- N -1) N) 2))

1.0ms

inf

((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (- N -1) (- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (pow (* (- N -1) N) 3) (pow (* (- N -1) N) 2))

1.0ms

((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (- N -1) (- (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (pow (* (- N -1) N) 3) (pow (* (- N -1) N) 2))

simplify163.0ms (3.6%)

Memory

13.2MiB live, 101.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1095
1	503	1086
2	1726	1058
3	7423	1058
0	8325	933

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 1))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 1))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (pow N 4)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 1))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(literal 1 binary64))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (-.f64 #s(literal 1 binary64) N))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (fma.f64 (fma.f64 (*.f64 N N) #s(literal 2 binary64) #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (fma.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) (*.f64 N N) #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 1))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(literal 1 binary64))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal -3 binary64)) N #s(literal 3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (* (- N -1) N) 2) (*.f64 N N))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (* (- N -1) N) 2) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 N N)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (pow (* (- N -1) N) 2) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) N)
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (pow N 4)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (pow.f64 N #s(literal 4 binary64)))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal -2 binary64))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) N)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (*.f64 N N))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (fma.f64 N N N))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) (pow.f64 N #s(literal 6 binary64)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (/.f64 (-.f64 N #s(literal -3 binary64)) N) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (/.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) N) #s(literal 3 binary64)) N) N) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (* (- N -1) N) 2) (pow.f64 N #s(literal 4 binary64)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 2) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal -2 binary64))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 2) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) N) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) N)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (/.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) N) #s(literal 3 binary64)) N) N) (pow.f64 N #s(literal 6 binary64))))

rewrite68.0ms (1.5%)

Memory

-19.8MiB live, 84.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	142
0	38	123
1	137	104
0	1083	104

Stop Event

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

Counts

12 → 177

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))) (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal -1 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 9 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 6 binary64))) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (+.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) N)))
(-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(-.f64 N #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (*.f64 N (+.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) N (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (fabs.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (fabs.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (exp.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (exp.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (neg.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (neg.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 N N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 N N) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 N (.f64 (-.f64 N #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(fma.f64 N (neg.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (neg.f64 (-.f64 N #s(literal -1 binary64)))) N))
(-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))
(+.f64 (neg.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(+.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (neg.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))) (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal -1 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 9 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 6 binary64))) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(.f64 (.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 N #s(literal -1 binary64))) N)
(.f64 (.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) N) (-.f64 N #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 N N))
(.f64 (neg.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 N N) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))
(.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))))
(.f64 N (.f64 (-.f64 N #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) N)
(.f64 (.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) N) (-.f64 N #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (fabs.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (fabs.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(.f64 (exp.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (exp.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) (.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(.f64 (.f64 N N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 N N) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 N N))
(.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))
(.f64 N (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))
(/.f64 (.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 2 binary64)))

eval31.0ms (0.7%)

Memory: 12.2MiB live, 57.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 8 491 to 910 computations (89.3% saved)

prune19.0ms (0.4%)

Memory

-10.7MiB live, 34.6MiB allocated; 8ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	218	15	233
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	220	16	236

Accuracy

99.7%

Counts

236 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.3%	(atan2.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
	20.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) N (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
	20.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
	15.8%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(approx (pow (* (- N -1) N) 3) (.f64 (/.f64 (-.f64 N #s(literal -3 binary64)) N) (pow.f64 N #s(literal 6 binary64)))) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
	77.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
	76.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	77.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
	27.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
▶	95.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
	8.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
	91.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
▶	6.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	53.0%	#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 1 066 to 518 computations (51.4% saved)

simplify153.0ms (3.3%)

Memory

-19.9MiB live, 181.5MiB allocated; 29ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	1	(*.f64 (-.f64 N #s(literal -1 binary64)) N)
cost-diff	1	(+.f64 N (+.f64 #s(literal -1 binary64) N))
cost-diff	7	(-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N)))
cost-diff	8	(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
cost-diff	0	(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 N N N)
cost-diff	0	#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
cost-diff	0	#s(approx (- (- N -1) N) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
cost-diff	0	#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (- N -1) N) #s(literal 1 binary64))
cost-diff	0	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
cost-diff	0	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	1	(*.f64 (-.f64 N #s(literal -1 binary64)) N)
cost-diff	1	(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64))
cost-diff	6	(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	461
0	81	409
1	152	388
2	503	352
3	2682	348
0	8583	346

Stop Event

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

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
(fma.f64 N N N)
N
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 N N N) #s(literal 3 binary64))
(fma.f64 N N N)
N
#s(literal 3 binary64)
#s(literal -1 binary64)
(fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
(-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N)))
(*.f64 N N)
N
(*.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))
(+.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
(+.f64 N (+.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#s(literal 3 binary64)
(-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))
(+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 N N N))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 N N N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
(fma.f64 N N N)
N
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 N N N) #s(literal 3 binary64))
(fma.f64 N N N)
N
#s(literal 3 binary64)
#s(literal -1 binary64)
(fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
(-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N)))
(fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64))
(*.f64 N N)
N
(*.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))
(*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) N)
(-.f64 N #s(literal 1 binary64))
#s(literal -1 binary64)
(+.f64 N (+.f64 #s(literal -1 binary64) N))
(fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))
(-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(pow.f64 (fma.f64 N N N) #s(literal 3 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 N N N)
(-.f64 N #s(literal -1 binary64))
#s(literal 3 binary64)
(-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))
(fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))
(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)

localize321.0ms (7%)

Memory

-7.1MiB live, 284.5MiB allocated; 19ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.35546875	(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))
accuracy	0.3884927246741665	(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
accuracy	29.259023719432022	(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
accuracy	54.88886658971473	(-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N)))
accuracy	0.28125	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
accuracy	0.35546875	(fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))
accuracy	0.3884927246741665	(pow.f64 (fma.f64 N N N) #s(literal 3 binary64))
accuracy	29.259023719432022	(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 N N N)
accuracy	0.0	#s(approx (- (- N -1) N) #s(literal 1 binary64))
accuracy	0.28125	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
accuracy	2.6904781512033846	#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
accuracy	0.0	#s(approx (- (- N -1) N) #s(literal 1 binary64))
accuracy	0.28125	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
accuracy	59.81705842723806	#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 N #s(literal -1 binary64)) N)
accuracy	0.015625	(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64))
accuracy	0.04296875	(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.28125	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

276.0ms	237×	1	valid
5.0ms	19×	0	valid

Compiler

Compiled 431 to 39 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

adjust: 91.0ms (36.6% of total)

ival-atan2: 62.0ms (24.9% of total)

ival-div: 31.0ms (12.5% of total)

ival-add: 17.0ms (6.8% of total)

ival-sub: 16.0ms (6.4% of total)

ival-mult: 14.0ms (5.6% of total)

ival-pow: 8.0ms (3.2% of total)

ival-pow2: 5.0ms (2% of total)

ival-sqrt: 4.0ms (1.6% of total)

exact: 1.0ms (0.4% of total)

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

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

series13.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Counts

22 → 114

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
(fma.f64 N N N)
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
(-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N)))
(+.f64 N (+.f64 #s(literal -1 binary64) N))
(pow.f64 (fma.f64 N N N) #s(literal 3 binary64))
(fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))

Outputs
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (sqrt N)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* 1/2 (sqrt (pow N 3))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (+ N (pow N 2)) 3)) (+ 1 (* (+ N (pow N 2)) (- (* N (+ 1 N)) 1)))))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 1))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (/ (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N))) #s(hole binary64 1))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 -1))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (+ N (+ -1 N)) #s(hole binary64 -1))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 1))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 N))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (+ N (pow N 2)) 3)) (+ 1 (* (+ N (pow N 2)) (- (+ N (pow N 2)) 1)))))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (pow N 6)))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* 2 N)))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* 2 N)))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* -1 (* (pow N 2) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ (* -1 (/ (pow (sqrt -1) 2) N)) (* -1 (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ (* -1 (/ (- (pow (sqrt -1) 2) (/ 1 N)) N)) (* -1 (pow (sqrt -1) 2))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 N)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* -1 (* N (* (pow (sqrt -1) 2) (- 1 (* -1 N)))))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (- (pow N 2) (* -1 N)) 3)) (+ 1 (* (- (* N (- 1 (* -1 N))) 1) (- (pow N 2) (* -1 N))))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (pow (* (- N -1) N) 1/2) (* (- N -1) N) (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (- (pow (+ (* N N) N) 3) -1) (/ (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N))) (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N)) (pow (+ (* N N) N) 3) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (pow (* (- N -1) N) 3) (pow (* (- N -1) N) 2))

4.0ms

inf

((+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (pow (* (- N -1) N) 1/2) (* (- N -1) N) (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (- (pow (+ (* N N) N) 3) -1) (/ (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N))) (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N)) (pow (+ (* N N) N) 3) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (pow (* (- N -1) N) 3) (pow (* (- N -1) N) 2))

3.0ms

((+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (pow (* (- N -1) N) 1/2) (* (- N -1) N) (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (- (pow (+ (* N N) N) 3) -1) (/ (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N))) (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N)) (pow (+ (* N N) N) 3) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) (pow (* (- N -1) N) 3) (pow (* (- N -1) N) 2))

simplify246.0ms (5.4%)

Memory

39.4MiB live, 246.5MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	2540
1	966	2487
2	3864	2434
0	8729	2168

Stop Event

1×	iter limit
1×	node limit

Counts

114 → 114

Calls

Call 1

Inputs
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (sqrt N)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* 1/2 (sqrt (pow N 3))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (+ N (pow N 2)) 3)) (+ 1 (* (+ N (pow N 2)) (- (* N (+ 1 N)) 1)))))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 1))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (/ (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N))) #s(hole binary64 1))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 -1))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (+ N (+ -1 N)) #s(hole binary64 -1))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 1))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 N))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (+ N (pow N 2)) 3)) (+ 1 (* (+ N (pow N 2)) (- (+ N (pow N 2)) 1)))))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (pow N 6)))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* 2 N)))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* 2 N)))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* -1 (* (pow N 2) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ (* -1 (/ (pow (sqrt -1) 2) N)) (* -1 (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ (* -1 (/ (- (pow (sqrt -1) 2) (/ 1 N)) N)) (* -1 (pow (sqrt -1) 2))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 N)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* -1 (* N (* (pow (sqrt -1) 2) (- 1 (* -1 N)))))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (- (pow N 2) (* -1 N)) 3)) (+ 1 (* (- (* N (- 1 (* -1 N))) 1) (- (pow N 2) (* -1 N))))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))

Outputs
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(literal 1 binary64))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (sqrt N)))
#s(approx (pow (* (- N -1) N) 1/2) (sqrt.f64 N))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* 1/2 (sqrt (pow N 3))))))
#s(approx (pow (* (- N -1) N) 1/2) (fma.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 N)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* (pow N 2) (+ (* -1/8 (sqrt N)) (* 1/2 (sqrt (/ 1 N))))))))
#s(approx (pow (* (- N -1) N) 1/2) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 N))) (.f64 N N) (sqrt.f64 N)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (+ (sqrt N) (* (pow N 2) (+ (* 1/2 (sqrt (/ 1 N))) (* (pow N 2) (+ (* -1/8 (sqrt (/ 1 (pow N 3)))) (* 1/16 (sqrt (/ 1 N))))))))))
#s(approx (pow (* (- N -1) N) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (.f64 N N) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 1/2 binary64))) (.f64 N N) (sqrt.f64 N)))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) N)
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (* (- N -1) N) (fma.f64 N N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) N)
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (* (- N -1) N) (fma.f64 N N N))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (+ N (pow N 2)) 3)) (+ 1 (* (+ N (pow N 2)) (- (* N (+ 1 N)) 1)))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(literal 1 binary64))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 1))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(literal 1 binary64))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (- (pow (+ (* N N) N) 3) -1) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N))) #s(hole binary64 1))
#s(approx (/ (- (* N N) (* (+ -1 N) (+ -1 N))) (+ N (+ -1 N))) #s(literal 1 binary64))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 -1))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(literal -1 binary64))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)))
#s(approx (+ N (+ -1 N)) #s(hole binary64 -1))
#s(approx (+ N (+ -1 N)) #s(literal -1 binary64))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (- (* 2 N) 1)))
#s(approx (+ N (+ -1 N)) (fma.f64 #s(literal 2 binary64) N #s(literal -1 binary64)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (+ (* N N) N) 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal -3 binary64)) N #s(literal 3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (-.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) N) N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (fma.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) (*.f64 N N) #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 1))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(literal 1 binary64))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (-.f64 N #s(literal -1 binary64)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (+ (* N N) N) 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal -3 binary64)) N #s(literal 3 binary64)) N #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (* (- N -1) N) 2) (*.f64 N N))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (pow (* (- N -1) N) 2) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 N N)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (pow (* (- N -1) N) 2) (.f64 (.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) N) N))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N N))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N (fma.f64 N (/.f64 #s(literal 1 binary64) N) N)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N (fma.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 N))
#s(approx (pow (* (- N -1) N) 1/2) N)
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (+ 1 (* 1/2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 1/2) (fma.f64 (/.f64 #s(literal 1/2 binary64) N) N N))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (- (+ 1 (* 1/2 (/ 1 N))) (/ 1/8 (pow N 2))))))
#s(approx (pow (* (- N -1) N) 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) N)) N)) N))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* N (- (+ 1 (+ (* 1/2 (/ 1 N)) (* 1/16 (/ 1 (pow N 3))))) (/ 1/8 (pow N 2))))))
#s(approx (pow (* (- N -1) N) 1/2) (fma.f64 N (+.f64 (/.f64 #s(literal 1/2 binary64) N) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64)) N) N)) N))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) (*.f64 N N))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (* (- N -1) N) (*.f64 N (fma.f64 N (/.f64 #s(literal 1 binary64) N) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N (fma.f64 N (/.f64 #s(literal 1 binary64) N) N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N (fma.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) (*.f64 N N))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (* (- N -1) N) (*.f64 N (fma.f64 N (/.f64 #s(literal 1 binary64) N) N)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (+ N (pow N 2)) 3)) (+ 1 (* (+ N (pow N 2)) (- (+ N (pow N 2)) 1)))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (*.f64 N N))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (*.f64 N (fma.f64 N (/.f64 #s(literal 1 binary64) N) N)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (*.f64 N (fma.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (pow N 6)))
#s(approx (- (pow (+ (* N N) N) 3) -1) (pow.f64 N #s(literal 6 binary64)))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* 2 N)))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) (*.f64 #s(literal 2 binary64) N))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) N))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* 2 N)))
#s(approx (+ N (+ -1 N)) (*.f64 #s(literal 2 binary64) N))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* N (- 2 (/ 1 N)))))
#s(approx (+ N (+ -1 N)) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) N))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (+ (* N N) N) 3) (pow.f64 N #s(literal 6 binary64)))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (pow.f64 N #s(literal 4 binary64)))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (*.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (*.f64 N N))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (*.f64 N (fma.f64 N (/.f64 #s(literal 1 binary64) N) N)))
#s(approx (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (*.f64 N (fma.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (+ (* N N) N) 3) (pow.f64 N #s(literal 6 binary64)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (pow N 4)))
#s(approx (pow (* (- N -1) N) 2) (pow.f64 N #s(literal 4 binary64)))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow (* (- N -1) N) 2) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 2) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* -1 (* (pow N 2) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N N))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ (* -1 (/ (pow (sqrt -1) 2) N)) (* -1 (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N (fma.f64 N (/.f64 #s(literal 1 binary64) N) N)))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) #s(hole binary64 (* (pow N 2) (+ (* -1 (/ (- (pow (sqrt -1) 2) (/ 1 N)) N)) (* -1 (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N (fma.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 N)))
#s(approx (pow (* (- N -1) N) 1/2) (neg.f64 N))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* 1/2 (/ 1 N)))))))
#s(approx (pow (* (- N -1) N) 1/2) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64)) N))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* -1 (/ (- (* 1/8 (/ 1 N)) 1/2) N)))))))
#s(approx (pow (* (- N -1) N) 1/2) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) N) #s(literal 1/2 binary64)) N) #s(literal -1 binary64)) N))
#s(approx (pow (* (- N -1) N) 1/2) #s(hole binary64 (* -1 (* N (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 N)) 1/8) N)) 1/2) N)))))))
#s(approx (pow (* (- N -1) N) 1/2) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) N) #s(literal 1/8 binary64)) N) #s(literal 1/2 binary64)) N) N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* -1 (* N (* (pow (sqrt -1) 2) (- 1 (* -1 N)))))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (- (pow N 2) (* -1 N)) 3)) (+ 1 (* (- (* N (- 1 (* -1 N))) 1) (- (pow N 2) (* -1 N))))))))
#s(approx (atan2 1 (/ (- (pow (+ (* N N) N) 3) -1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (- (pow (+ (* N N) N) 3) -1) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (- (pow (+ (* N N) N) 3) -1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (- (* N N) (* (+ -1 N) (+ -1 N))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)) N))
#s(approx (+ N (+ -1 N)) #s(hole binary64 (* -1 (* N (- (/ 1 N) 2)))))
#s(approx (+ N (+ -1 N)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)) N))
#s(approx (pow (+ (* N N) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)) N)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64)) N))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (+ (* N N) N) 3) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -3 binary64)) N) #s(literal 3 binary64)) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64))))

rewrite44.0ms (1%)

Memory

-33.2MiB live, 12.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	318
0	78	299
0	322	295

Stop Event

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

Counts

22 → 76

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
(fma.f64 N N N)
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N)))
(-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N)))
(+.f64 N (+.f64 #s(literal -1 binary64) N))
(pow.f64 (fma.f64 N N N) #s(literal 3 binary64))
(fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (neg.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) (fabs.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) (sqrt.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64))
(+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
(*.f64 N (-.f64 N #s(literal -1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
(*.f64 (+.f64 N #s(literal 1 binary64)) N)
(/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N)) (-.f64 (*.f64 N N) N))
(/.f64 (+.f64 (pow.f64 (.f64 N N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (.f64 N N) (.f64 N N) (-.f64 (.f64 N N) (.f64 (.f64 N N) N))))
(fma.f64 (neg.f64 N) (neg.f64 N) N)
(fma.f64 (fabs.f64 N) (fabs.f64 N) N)
(fma.f64 N N N)
(+.f64 (*.f64 N N) N)
(+.f64 N (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal -1 binary64) N) N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal -1 binary64) N) N))
(-.f64 (/.f64 (*.f64 N N) (+.f64 (+.f64 #s(literal -1 binary64) N) N)) (/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -1 binary64) N) N)))
(*.f64 (+.f64 (+.f64 #s(literal -1 binary64) N) N) (-.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)))) (fma.f64 N N (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 N N) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 N N) (.f64 N N) (fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)) (.f64 (*.f64 N N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 N) (neg.f64 N) (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) N)) (+.f64 #s(literal -1 binary64) N)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) N)) (+.f64 #s(literal -1 binary64) N)))
(fma.f64 N N (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) N)) (+.f64 #s(literal -1 binary64) N)))
(-.f64 (*.f64 N N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)))
(+.f64 (.f64 N N) (.f64 (neg.f64 (+.f64 #s(literal -1 binary64) N)) (+.f64 #s(literal -1 binary64) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64)) (*.f64 N (+.f64 #s(literal -1 binary64) N)))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 2 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) N))
(+.f64 (+.f64 #s(literal -1 binary64) N) N)
(+.f64 N (+.f64 #s(literal -1 binary64) N))
(*.f64 (pow.f64 (fma.f64 N N N) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3/2 binary64)))
(.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N))
(.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N)))
(pow.f64 (fma.f64 N N N) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N)) (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N))) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N)) (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 N N N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 3 binary64)))
(.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 N N))
(.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 2 binary64)))

eval26.0ms (0.6%)

Memory: 24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 9 628 to 891 computations (90.7% saved)

prune53.0ms (1.1%)

Memory

-50.8MiB live, 21.3MiB allocated; 40ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	198	10	208
Fresh	7	3	10
Picked	3	2	5
Done	0	1	1
Total	208	16	224

Accuracy

99.7%

Counts

224 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.3%	(atan2.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
	77.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
	76.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	8.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (-.f64 N #s(literal -1 binary64))))
	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N (fma.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N))))
	91.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N N)))
✓	95.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
	73.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N)) (-.f64 (*.f64 N N) N))))
	95.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 (*.f64 N N) N)))
✓	6.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	53.1%	#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N))) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
	44.8%	#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 3) -1) (pow.f64 N #s(literal 6 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
	48.6%	#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 3) -1) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 1 608 to 461 computations (71.3% saved)

regimes16.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 (*.f64 N N) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N (fma.f64 N (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N)) (-.f64 (*.f64 N N) N))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 N N N) (.f64 (fma.f64 N N N) (fma.f64 N N N))) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 3) -1) (pow.f64 N #s(literal 6 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow (+ (* N N) N) 3) -1) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) N) #s(literal -1 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) N (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(atan2.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(approx (pow (* (- N -1) N) 3) (.f64 (/.f64 (-.f64 N #s(literal -3 binary64)) N) (pow.f64 N #s(literal 6 binary64)))) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(atan2.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N))) (+.f64 N (+.f64 #s(literal -1 binary64) N))) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1/2 binary64)) (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 N #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Calls

2 calls:

8.0ms	N
6.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 (*.f64 N N) N)))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))

Calls

2 calls:

3.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
95.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
95.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (*.f64 N N)))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))

Calls

2 calls:

2.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
91.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
91.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))

(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))

(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (pow (* (- N -1) N) 1/2) (pow (* (- N -1) N) 1/2)) 1) (-.f64 N #s(literal -1 binary64))))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))

Calls

2 calls:

1.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
8.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.1%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))

Calls

2 calls:

1.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
6.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify55.0ms (1.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	89
1	29	89
2	42	89
3	68	79
4	118	74
5	327	74
6	2692	69
7	7715	69

Stop Event

1×	node limit

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))

derivations211.0ms (4.6%)

Memory

-43.2MiB live, 101.1MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 89 to 23 computations (74.2% saved)

preprocess27.0ms (0.6%)

Memory: 41.2MiB live, 41.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 208 to 68 computations (67.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.6s (35.5%)

explain123.0ms (2.7%)

preprocess222.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify163.0ms (3.5%)

localize43.0ms (0.9%)

series1.0ms (0%)

simplify95.0ms (2.1%)

rewrite58.0ms (1.3%)

eval3.0ms (0.1%)

prune1.0ms (0%)

simplify127.0ms (2.8%)

localize99.0ms (2.2%)

series2.0ms (0%)

simplify126.0ms (2.7%)

rewrite27.0ms (0.6%)

eval19.0ms (0.4%)

prune2.0ms (0.1%)

simplify242.0ms (5.3%)

localize149.0ms (3.2%)

series6.0ms (0.1%)

simplify163.0ms (3.6%)

rewrite68.0ms (1.5%)

eval31.0ms (0.7%)

prune19.0ms (0.4%)

simplify153.0ms (3.3%)

localize321.0ms (7%)

series13.0ms (0.3%)

simplify246.0ms (5.4%)

rewrite44.0ms (1%)

eval26.0ms (0.6%)

prune53.0ms (1.1%)

regimes16.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify55.0ms (1.2%)

derivations211.0ms (4.6%)

preprocess27.0ms (0.6%)

end0.0ms (0%)

Profiling