Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

sample1.7s (46.9%)

Memory

-23.2MiB live, 1 305.8MiB allocated; 1.0s collecting garbage

Samples

1.2s	7 223×	1	valid
204.0ms	827×	2	valid
21.0ms	206×	0	valid

Precisions

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

ival-atan: 713.0ms (63.6% of total)

adjust: 252.0ms (22.5% of total)

ival-sub!: 111.0ms (9.9% of total)

ival-add!: 46.0ms (4.1% of total)

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

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

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

Bogosity

explain168.0ms (4.6%)

Memory

-0.2MiB live, 194.2MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
252	1	(12.692329356269603)	-	`(-.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	253	1

Confusion

	Predicted +	Predicted -
+	252	0
-	1	3

Precision

0.9960474308300395

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	0	0
-	1	1	2

Precision?

0.9921259842519685

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	450×	1	valid
8.0ms	46×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-atan: 21.0ms (53.1% of total)

adjust: 13.0ms (32.9% of total)

ival-add!: 3.0ms (7.6% of total)

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

preprocess68.0ms (1.9%)

Memory

-33.1MiB live, 60.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series2.0ms (0%)

Memory

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

Counts

6 → 10

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
#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 N #s(hole binary64 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
1.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))

rewrite58.0ms (1.6%)

Memory

16.9MiB live, 67.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
0	36	98
1	145	98
0	921	98

Stop Event

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

Counts

16 → 49

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

eval4.0ms (0.1%)

Memory: 6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 776 to 183 computations (76.4% saved)

prune2.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Accuracy

18.1%

Counts

44 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	18.1%	(/.f64 (.f64 (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (.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)))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))

Status

Accuracy

Program

▶

18.1%

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

▶

18.1%

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

Compiler

Compiled 52 to 20 computations (61.5% saved)

series6.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

13 → 39

Calls

Call 1

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

Outputs
#s(approx (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) #s(hole binary64 (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N)))))))
#s(approx (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) #s(hole binary64 (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))
#s(approx (+ (- N -1) N) #s(hole binary64 1))
#s(approx (+ (- N -1) N) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (- 1 (* (- N -1) N)) #s(hole binary64 1))
#s(approx (- 1 (* (- N -1) N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (- 1 (* (- N -1) N)) #s(hole binary64 (+ 1 (* N (- (* -1 N) 1)))))
#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) (+ (* (- 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 (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) #s(hole binary64 (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))))
#s(approx (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) #s(hole binary64 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))))
#s(approx (+ (- N -1) N) #s(hole binary64 (* 2 N)))
#s(approx (+ (- N -1) N) #s(hole binary64 (* N (+ 2 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- 1 (* (- N -1) N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (* (- N -1) N)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (- 1 (* (- N -1) N)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))))
#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) (+ (* (- 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 (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) #s(hole binary64 (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N))))))))
#s(approx (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) #s(hole binary64 (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))))
#s(approx (- 1 (* (- N -1) N)) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))))
#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
2.0ms	N	@	-inf	((/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- N -1) N -1 (- 1 (* (- N -1) N)) 1 (* (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
2.0ms	N	@	inf	((/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- N -1) N -1 (- 1 (* (- N -1) N)) 1 (* (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
1.0ms	N	@	0	((/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- N -1) N -1 (- 1 (* (- N -1) N)) 1 (* (- N -1) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite115.0ms (3.2%)

Memory

-12.7MiB live, 77.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	899
0	136	774
1	484	658
0	4254	631

Stop Event

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

Counts

52 → 316

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (neg.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (*.f64 (neg.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (*.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(neg.f64 (/.f64 (*.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(fma.f64 (atan.f64 (-.f64 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))) (*.f64 (atan.f64 N) (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))
(fma.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 N)))
(+.f64 (.f64 (atan.f64 (-.f64 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)))) (.f64 (atan.f64 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 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 N)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (-.f64 (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (atan.f64 N) (atan.f64 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 (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 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (.f64 (atan.f64 N) (atan.f64 N)) (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 (-.f64 N #s(literal -1 binary64)) N))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (*.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) N)
(*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) N) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 N (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 N (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) #s(literal 4 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 (.f64 #s(literal 4 binary64) (.f64 N N)) #s(literal 1 binary64)) (-.f64 (+.f64 N N) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 N N) (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))) (-.f64 N (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 N N) N) (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 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 N N)))) (neg.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (.f64 (.f64 N N) N)))) (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) N) (fma.f64 #s(literal -2 binary64) N #s(literal 1 binary64)) #s(literal 1 binary64))))
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#s(approx (- 1 (* (- N -1) N)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (* (- N -1) N) (*.f64 N N))
#s(approx (* (- N -1) N) (fma.f64 N N 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) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 N N) N)))
#s(approx (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (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) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
#s(approx (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
#s(approx (- 1 (* (- N -1) N)) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (.f64 N N))) #s(literal 1 binary64)) (*.f64 N 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))))

eval115.0ms (3.2%)

Memory: 9.3MiB live, 154.6MiB allocated; 45ms collecting garbage
Compiler: Compiled 33 866 to 2 190 computations (93.5% saved)

prune34.0ms (0.9%)

Memory

2.4MiB live, 47.1MiB allocated; 7ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	761	9	770
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	763	9	772

Accuracy

99.6%

Counts

772 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
	18.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	5.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	18.1%	(atan2.f64 (.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 (-.f64 N #s(literal -1 binary64)) N)) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (.f64 N (-.f64 N (-.f64 N #s(literal -1 binary64)))))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	18.1%	(/.f64 (fma.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 N))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
▶	11.8%	(/.f64 (.f64 (atan2.f64 (+.f64 #s(approx (- N -1) #s(literal 1 binary64)) N) (-.f64 #s(literal 1 binary64) (.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)))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
▶	99.4%	(/.f64 #s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
	18.1%	(*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 610 to 276 computations (54.8% saved)

series22.0ms (0.6%)

Memory

-19.5MiB live, 27.2MiB allocated; 4ms collecting garbage

Counts

37 → 93

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

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

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -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 N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* N N) N) N) (* (* N N) N) (* N N) (- (- N -1) (* N N)) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (* (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (+ (* 2 N) 1) 2 (- 1 (+ (* N N) N)) (+ (* N N) N) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- 1 (* (- N -1) N)) (* (- N -1) N) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- N -1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)))
3.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -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 N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* N N) N) N) (* (* N N) N) (* N N) (- (- N -1) (* N N)) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (* (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (+ (* 2 N) 1) 2 (- 1 (+ (* N N) N)) (+ (* N N) N) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- 1 (* (- N -1) N)) (* (- N -1) N) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- N -1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)))
3.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -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 N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* N N) N) N) (* (* N N) N) (* N N) (- (- N -1) (* N N)) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (* (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (+ (* 2 N) 1) 2 (- 1 (+ (* N N) N)) (+ (* N N) N) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- 1 (* (- N -1) N)) (* (- N -1) N) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (+ (- N -1) N) (- N -1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)))

Time

Variable

Point

Expression

14.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

rewrite245.0ms (6.8%)

Memory

7.2MiB live, 294.3MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	2364
0	318	1885
1	1158	1641
0	9231	1625

Stop Event

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

Counts

130 → 885

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

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

eval236.0ms (6.5%)

Memory: 4.3MiB live, 338.8MiB allocated; 57ms collecting garbage
Compiler: Compiled 59 698 to 4 695 computations (92.1% saved)

prune45.0ms (1.2%)

Memory

13.6MiB live, 108.0MiB allocated; 4ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1 184	19	1 203
Fresh	1	3	4
Picked	4	1	5
Done	0	0	0
Total	1 189	23	1 212

Accuracy

99.8%

Counts

1 212 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 #s(approx (* (- N -1) (- N -1)) (.f64 (-.f64 N #s(literal -2 binary64)) N)) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
▶	18.1%	(atan2.f64 (.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 (-.f64 N #s(literal -1 binary64)) N)) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (.f64 N (-.f64 N (-.f64 N #s(literal -1 binary64)))))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)))
▶	72.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
	49.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (fma.f64 N N N) N)))))
	72.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) N) #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
	49.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 N N) N) N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 N N) N) N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 N N) N) N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (*.f64 N N) N) N) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))))))
	49.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (.f64 (.f64 (.f64 N N) N) N))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
	49.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	95.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (fma.f64 N N N)))
▶	7.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (-.f64 N #s(literal -1 binary64))))
	92.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (*.f64 N N)))
	18.1%	(/.f64 (fma.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 N))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
▶	99.4%	(/.f64 #s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	92.8%	(/.f64 #s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (.f64 (atan2.f64 #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)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
	99.1%	(/.f64 #s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
	72.7%	(/.f64 #s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) N) #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
	18.1%	(*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 1 962 to 828 computations (57.8% saved)

series20.0ms (0.6%)

Memory

-2.4MiB live, 44.2MiB allocated; 3ms collecting garbage

Counts

36 → 130

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) 1 (+ N (+ (* N N) 1)) N (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- N -1) -1 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (+ (* (- N -1) N) -1) (atan2 (* (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1))))) (+ (* (- N -1) N) 1)) (* (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1))))) (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* 2 N) 1) 2 (- (- N -1) N) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N)) (* (- N -1) (- N -1)) (* (* N N) N) (* N N) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1)))) (* N (- N (- N -1))) (- N (- N -1)) (+ (* (- N -1) N) 1) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (* (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (- 1 (+ (* N N) N)))
6.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) 1 (+ N (+ (* N N) 1)) N (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- N -1) -1 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (+ (* (- N -1) N) -1) (atan2 (* (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1))))) (+ (* (- N -1) N) 1)) (* (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1))))) (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* 2 N) 1) 2 (- (- N -1) N) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N)) (* (- N -1) (- N -1)) (* (* N N) N) (* N N) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1)))) (* N (- N (- N -1))) (- N (- N -1)) (+ (* (- N -1) N) 1) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (* (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (- 1 (+ (* N N) N)))
5.0ms	N	@	0	((atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) 1 (+ N (+ (* N N) 1)) N (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- N -1) -1 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (+ (* (- N -1) N) -1) (atan2 (* (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1))))) (+ (* (- N -1) N) 1)) (* (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1))))) (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* 2 N) 1) 2 (- (- N -1) N) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N)) (* (- N -1) (- N -1)) (* (* N N) N) (* N N) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1)))) (* N (- N (- N -1))) (- N (- N -1)) (+ (* (- N -1) N) 1) (/ (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (* (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 1 (+ (* (- N -1) N) 1)) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N))) (- 1 (+ (* N N) N)))

Time

Variable

Point

Expression

6.0ms

inf

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

6.0ms

-inf

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

5.0ms

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

rewrite206.0ms (5.7%)

Memory

27.3MiB live, 308.2MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	3767
0	475	3233
1	2124	3171
0	9232	3131

Stop Event

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

Counts

166 → 499

Calls

Call 1

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

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

eval134.0ms (3.7%)

Memory: -33.8MiB live, 155.7MiB allocated; 36ms collecting garbage
Compiler: Compiled 47 898 to 3 459 computations (92.8% saved)

prune45.0ms (1.2%)

Memory

10.1MiB live, 57.2MiB allocated; 3ms collecting garbage

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	791	15	806
Fresh	9	8	17
Picked	2	3	5
Done	0	1	1
Total	802	27	829

Accuracy

99.8%

Counts

829 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.1%	(atan2.f64 (.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 3 binary64)) N #s(literal 3 binary64)) N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (*.f64 N (-.f64 N (-.f64 N #s(literal -1 binary64)))))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	92.9%	(atan2.f64 (.f64 (/.f64 #s(approx ( (+ (* 2 N) 1) (- (- N -1) N)) (+.f64 N N)) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (.f64 N (-.f64 N (-.f64 N #s(literal -1 binary64)))))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)))
	72.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal -1 binary64))))
	49.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)) (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 (-.f64 N #s(literal -1 binary64)) N) #s(literal -1 binary64)))))))
	49.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 N N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (.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)))))))
	66.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N))))
	72.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
	49.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 binary64)) (.f64 (.f64 N N) N)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (-.f64 (.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
	49.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (-.f64 (.f64 (/.f64 #s(literal -1 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 (fma.f64 N N N) (fma.f64 N N N)) (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))))))))
	49.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
	65.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (.f64 (.f64 (*.f64 N N) N) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
✓	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	49.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 N (/.f64 (fma.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 N N) N) N (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 1 binary64)))))))
	72.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 N (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (.f64 N N) #s(literal 1 binary64)))))
	95.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 N #s(approx (+ (* N N) 1) (*.f64 N N))))
	95.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (fma.f64 N N N)))
✓	7.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (-.f64 N #s(literal -1 binary64))))
	92.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (*.f64 N N)))
	7.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(approx (- N -1) N)))
	18.1%	(/.f64 (fma.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (.f64 (atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan.f64 N))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N))))
✓	99.4%	(/.f64 #s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.1%	(/.f64 #s(approx (* (atan2 (+ (- N -1) N) (- 1 (* (- N -1) N))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
	99.5%	#s(approx (atan2 (* (/ (* (+ (* 2 N) 1) (- (- N -1) N)) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* N N) N))) (+ (* (- N -1) (- N -1)) (* N (- N (- N -1))))) (+ (* (- N -1) N) 1)) (atan2.f64 (/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (neg.f64 N)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N) (.f64 (.f64 N N) N))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))

Compiler

Compiled 3 091 to 772 computations (75% saved)

regimes25.0ms (0.7%)

Memory

-11.9MiB live, 34.2MiB allocated; 3ms collecting garbage

Counts

46 → 1

Calls

Call 1

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

Calls

2 calls:

12.0ms	N
10.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.5%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
95.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(approx (- N -1) N)))

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

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (*.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
92.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
92.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (-.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
7.9%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
7.9%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(approx (- N -1) N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.9%	1	`N`
7.9%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations315.0ms (8.7%)

Memory

1.4MiB live, 249.1MiB allocated; 36ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 171 to 31 computations (81.9% saved)

preprocess39.0ms (1.1%)

Memory: -1.1MiB live, 92.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 356 to 74 computations (79.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (46.9%)

explain168.0ms (4.6%)

preprocess68.0ms (1.9%)

series2.0ms (0%)

rewrite58.0ms (1.6%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

series6.0ms (0.2%)

rewrite115.0ms (3.2%)

eval115.0ms (3.2%)

prune34.0ms (0.9%)

series22.0ms (0.6%)

rewrite245.0ms (6.8%)

eval236.0ms (6.5%)

prune45.0ms (1.2%)

series20.0ms (0.6%)

rewrite206.0ms (5.7%)

eval134.0ms (3.7%)

prune45.0ms (1.2%)

regimes25.0ms (0.7%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

derivations315.0ms (8.7%)

preprocess39.0ms (1.1%)

end0.0ms (0%)

Profiling