Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (57.3%)

Memory

-32.4MiB live, 1 557.4MiB allocated; 379ms collecting garbage

Samples

1.2s	7 223×	1	valid
127.0ms	827×	2	valid
9.0ms	206×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 894.0ms

ival-atan: 475.0ms (53.1% of total)

adjust: 318.0ms (35.6% of total)

ival-add!: 60.0ms (6.7% of total)

ival-sub!: 42.0ms (4.7% of total)

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

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

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

Bogosity

explain107.0ms (3.8%)

Memory

19.7MiB live, 121.7MiB allocated; 12ms 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
7.0ms	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: 39.0ms

ival-atan: 20.0ms (51.5% of total)

adjust: 13.0ms (33.5% of total)

ival-add!: 3.0ms (7.7% of total)

ival-sub!: 2.0ms (5.2% of total)

preprocess72.0ms (2.5%)

Memory

-37.8MiB live, 8.6MiB allocated; 9ms 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 (0.1%)

Memory

2.0MiB live, 2.0MiB 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))
1.0ms	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))

rewrite72.0ms (2.5%)

Memory

19.6MiB live, 65.9MiB allocated; 4ms 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 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) N) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #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 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #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 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #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 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (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) (pow.f64 N #s(literal -1 binary64))))
(-.f64 N (*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (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)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#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)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))

eval5.0ms (0.2%)

Memory: 11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 669 to 182 computations (72.8% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Accuracy

18.1%

Counts

44 → 4

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)))
▶	9.5%	(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
✓	9.6%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
▶	4.1%	(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

Compiler

Compiled 47 to 31 computations (34% saved)

series16.0ms (0.6%)

Memory

-30.6MiB live, 15.7MiB allocated; 4ms collecting garbage

Counts

18 → 35

Calls

Call 1

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

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 (/ (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) (+ (atan N) (atan (- N -1)))) #s(hole binary64 (/ (- (pow (atan (+ 1 N)) 2) (pow (atan N) 2)) (+ (atan N) (atan (+ 1 N))))))
#s(approx (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) #s(hole binary64 (- (pow (atan (+ 1 N)) 2) (pow (atan N) 2))))
#s(approx (pow (atan (- N -1)) 2) #s(hole binary64 (pow (atan (+ 1 N)) 2)))
#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 (pow (atan N) 2) #s(hole binary64 (pow (atan N) 2)))
#s(approx (+ (atan N) (atan (- N -1))) #s(hole binary64 (+ (atan N) (atan (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#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 -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 (- (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)))))
#s(approx (/ (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) (+ (atan N) (atan (- N -1)))) #s(hole binary64 (/ (- (pow (atan (- 1 (* -1 N))) 2) (pow (atan N) 2)) (+ (atan N) (atan (- 1 (* -1 N)))))))
#s(approx (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) #s(hole binary64 (- (pow (atan (- 1 (* -1 N))) 2) (pow (atan N) 2))))
#s(approx (pow (atan (- N -1)) 2) #s(hole binary64 (pow (atan (- 1 (* -1 N))) 2)))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (+ (atan N) (atan (- N -1))) #s(hole binary64 (+ (atan N) (atan (- 1 (* -1 N))))))
#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
11.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (/ (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) (+ (atan N) (atan (- N -1)))) (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) (pow (atan (- N -1)) 2) (atan (- N -1)) (- N -1) -1 2 (pow (atan N) 2) (+ (atan N) (atan (- N -1))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
2.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (/ (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) (+ (atan N) (atan (- N -1)))) (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) (pow (atan (- N -1)) 2) (atan (- N -1)) (- N -1) -1 2 (pow (atan N) 2) (+ (atan N) (atan (- N -1))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
2.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (/ (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) (+ (atan N) (atan (- N -1)))) (- (pow (atan (- N -1)) 2) (pow (atan N) 2)) (pow (atan (- N -1)) 2) (atan (- N -1)) (- N -1) -1 2 (pow (atan N) 2) (+ (atan N) (atan (- N -1))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)

Time

Variable

Point

Expression

11.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite111.0ms (3.9%)

Memory

33.5MiB live, 183.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	593
0	126	524
1	495	477
0	4126	474

Stop Event

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

Counts

53 → 236

Calls

Call 1

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

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

eval50.0ms (1.8%)

Memory: 9.8MiB live, 145.6MiB allocated; 27ms collecting garbage
Compiler: Compiled 7 006 to 961 computations (86.3% saved)

prune10.0ms (0.4%)

Memory

-23.3MiB live, 24.2MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	289	5	294
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	290	8	298

Accuracy

99.6%

Counts

298 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.9%	(atan2.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	16.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.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)))
▶	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)))
✓	9.5%	(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
✓	9.6%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
✓	4.1%	(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

Compiler

Compiled 227 to 146 computations (35.7% saved)

series17.0ms (0.6%)

Memory

-10.1MiB live, 36.1MiB allocated; 3ms collecting garbage

Counts

32 → 96

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

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 (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#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 N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow (+ 1 N) 2) (pow N 2)) (+ 1 (* 2 N))) (+ 1 (* N (+ 1 N))))))
#s(approx (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) #s(hole binary64 1))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(hole binary64 1))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (pow (- N -1) 2) #s(hole binary64 1))
#s(approx (pow (- N -1) 2) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ (- N -1) N) #s(hole binary64 1))
#s(approx (+ (- N -1) N) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 1))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 1))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (pow N 6) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 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 (+ (* 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 (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow (+ 1 N) 2) (pow N 2)) (+ 1 (* 2 N))) (+ 1 (+ N (pow N 2))))))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(hole binary64 (* 2 N)))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(hole binary64 (* N (+ 2 (/ 1 N)))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (- N -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (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 (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 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 (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 2)) (- 1 (* -2 N))) (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1)))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 N)) (/ 1 (pow N 2)))) N)) 1)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	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 (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (* N N) (+ (- N -1) N) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (pow N 4) 4 (* (- N -1) (* N N)))
5.0ms	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 (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (* N N) (+ (- N -1) N) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (pow N 4) 4 (* (- N -1) (* N N)))
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 (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (* N N) (+ (- N -1) N) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (pow N 4) 4 (* (- N -1) (* N N)))

Time

Variable

Point

Expression

6.0ms

-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 (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (* N N) (+ (- N -1) N) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (pow N 4) 4 (* (- N -1) (* N N)))

5.0ms

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 (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (* N N) (+ (- N -1) N) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (pow N 4) 4 (* (- N -1) (* N N)))

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 (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (* N N) (+ (- N -1) N) (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+ (pow (- N -1) 3) (pow N 6)) (pow (- N -1) 3) 3 (pow N 6) 6 (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (- (pow N 4) (* (- N -1) (* N N))) (pow N 4) 4 (* (- N -1) (* N N)))

rewrite179.0ms (6.3%)

Memory

21.2MiB live, 261.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	2228
0	368	2097
1	1756	2052
0	8390	2012

Stop Event

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

Counts

128 → 363

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 N (fma.f64 N N #s(literal 1 binary64))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 N N)
(+.f64 (-.f64 N #s(literal -1 binary64)) N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)))))
(+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 N #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))))
(-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)))
(pow.f64 N #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -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 (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#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 N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow (+ 1 N) 2) (pow N 2)) (+ 1 (* 2 N))) (+ 1 (* N (+ 1 N))))))
#s(approx (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) #s(hole binary64 1))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(hole binary64 1))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (pow (- N -1) 2) #s(hole binary64 1))
#s(approx (pow (- N -1) 2) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ (- N -1) N) #s(hole binary64 1))
#s(approx (+ (- N -1) N) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 1))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 1))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (pow N 6) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 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 (+ (* 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 (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow (+ 1 N) 2) (pow N 2)) (+ 1 (* 2 N))) (+ 1 (+ N (pow N 2))))))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(hole binary64 (* 2 N)))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(hole binary64 (* N (+ 2 (/ 1 N)))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (pow N 2)))
#s(approx (pow (- N -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (pow (- N -1) 2) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (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 (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* (pow N 3) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 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 (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 2)) (- 1 (* -2 N))) (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1)))))
#s(approx (pow (- N -1) 3) #s(hole binary64 (* -1 (* (pow N 3) (- (* -1 (/ (+ 3 (+ (* 3 (/ 1 N)) (/ 1 (pow N 2)))) N)) 1)))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))

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 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.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 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))))
(-.f64 N #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #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 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)))) (neg.f64 (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 N N))) (.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 N N (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
(+.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 (neg.f64 N) N) (+.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 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #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 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 N (fma.f64 N N #s(literal 1 binary64)))))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 N N))))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 N N)))))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 (fabs.f64 N) (fabs.f64 N) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 N N #s(literal 1 binary64))
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#s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) #s(literal 1 binary64))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (+.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) #s(literal 1 binary64))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) N) N #s(literal 3 binary64)) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 3) #s(literal 1 binary64))
#s(approx (pow (- N -1) 3) (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 3) (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 3) (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) N) N #s(literal 3 binary64)) N #s(literal 1 binary64)))
#s(approx (pow N 6) (pow.f64 N #s(literal 6 binary64)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) #s(literal 1 binary64))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (fma.f64 (fma.f64 (*.f64 N N) #s(literal -1 binary64) #s(literal 2 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (fma.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N) #s(literal 2 binary64)) N #s(literal 1 binary64)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (neg.f64 (*.f64 N N)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (.f64 (-.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (pow N 4) (pow.f64 N #s(literal 4 binary64)))
#s(approx (* (- N -1) (* N N)) (*.f64 N N))
#s(approx (* (- N -1) (* N N)) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- N -1) N) 1) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (.f64 N N)))
#s(approx (- N -1) N)
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ N (+ (* N N) 1)) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (.f64 N N)))
#s(approx (+ (* N N) 1) (*.f64 N N))
#s(approx (+ (* N N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
#s(approx (- (pow (- N -1) 2) (* N N)) (*.f64 #s(literal 2 binary64) N))
#s(approx (- (pow (- N -1) 2) (* N N)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 2) (*.f64 N N))
#s(approx (pow (- N -1) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (pow (- N -1) 2) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (+ (- N -1) N) (*.f64 #s(literal 2 binary64) N))
#s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (fma.f64 N N (pow.f64 N #s(literal 3 binary64)))))))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (*.f64 N N))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N))))) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (.f64 N N)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (pow.f64 N #s(literal 6 binary64)))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (fma.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 N #s(literal 4 binary64)))) (pow.f64 N #s(literal 6 binary64))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (*.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal -5 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 N #s(literal 4 binary64))))) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (- N -1) 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (pow (- N -1) 3) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (- N -1) 3) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 N N)) (/.f64 #s(literal 3 binary64) N)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))))
#s(approx (pow (- N -1) 3) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) (.f64 N N)) (pow.f64 N #s(literal -3 binary64)))) (pow.f64 N #s(literal 3 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (pow.f64 N #s(literal 4 binary64)))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 3 binary64)))) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (pow.f64 N #s(literal 4 binary64)))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow N 4) (* (- N -1) (* N N))) (*.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (* (- N -1) (* N N)) (pow.f64 N #s(literal 3 binary64)))
#s(approx (* (- N -1) (* N N)) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #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 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 N #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 2 binary64))) (*.f64 N N)))))
#s(approx (+ (pow (- N -1) 3) (pow N 6)) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N)) #s(literal 1 binary64)) (pow.f64 N #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal 6 binary64))))
#s(approx (pow (- N -1) 3) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N)) #s(literal 1 binary64))))
#s(approx (pow (- N -1) 3) (*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) N)) #s(literal 1 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 2 binary64))) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 2 binary64) (pow.f64 N #s(literal -3 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) N) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))

eval67.0ms (2.4%)

Memory: 4.2MiB live, 142.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 18 570 to 2 090 computations (88.7% saved)

prune32.0ms (1.1%)

Memory

-19.3MiB live, 34.9MiB allocated; 32ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	533	11	544
Fresh	0	0	0
Picked	4	1	5
Done	2	1	3
Total	539	13	552

Accuracy

99.7%

Counts

552 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.9%	(atan2.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) #s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	16.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(approx (- (pow N 4) (* (- N -1) (* N N))) (.f64 (-.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) (*.f64 N N))))))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	99.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.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)))
▶	93.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (exp.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) N #s(literal 1 binary64)))
	92.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
	72.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.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 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
▶	92.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
✓	9.6%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
	49.1%	#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (fma.f64 N N (pow.f64 N #s(literal 3 binary64)))))))
▶	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))

Compiler

Compiled 643 to 396 computations (38.4% saved)

series11.0ms (0.4%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Counts

34 → 118

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (* N N) (atan2 (- (- N -1) N) (+ (* (exp (* (log (- N -1)) 1)) N) 1)) (+ (* (exp (* (log (- N -1)) 1)) N) 1) (exp (* (log (- N -1)) 1)) (* (log (- N -1)) 1) (log (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (+ 1 (neg N))) (+ 1 (neg N)) (neg N) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (+ (- N -1) N) (+ (* 2 N) 1) (+ (* (- N -1) N) 1))
3.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (* N N) (atan2 (- (- N -1) N) (+ (* (exp (* (log (- N -1)) 1)) N) 1)) (+ (* (exp (* (log (- N -1)) 1)) N) 1) (exp (* (log (- N -1)) 1)) (* (log (- N -1)) 1) (log (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (+ 1 (neg N))) (+ 1 (neg N)) (neg N) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (+ (- N -1) N) (+ (* 2 N) 1) (+ (* (- N -1) N) 1))
2.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (* N N) (atan2 (- (- N -1) N) (+ (* (exp (* (log (- N -1)) 1)) N) 1)) (+ (* (exp (* (log (- N -1)) 1)) N) 1) (exp (* (log (- N -1)) 1)) (* (log (- N -1)) 1) (log (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (+ 1 (neg N))) (+ 1 (neg N)) (neg N) (atan2 (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) (- (pow (- N -1) 2) (* N N)) (pow (- N -1) 2) 2 (+ (- N -1) N) (+ (* 2 N) 1) (+ (* (- N -1) N) 1))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite167.0ms (5.9%)

Memory

-6.9MiB live, 272.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	2261
0	368	1901
1	1522	1768
0	8383	1727

Stop Event

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

Counts

152 → 429

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (*.f64 N N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 N N))))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 N N)))))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 N) (fabs.f64 N) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 N N #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 N N))))
(+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 N N))))) (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 #s(literal 1 binary64) (.f64 N N))))))
(+.f64 (*.f64 N N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
N
(atan2.f64 #s(approx (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (*.f64 N N)))
#s(approx (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (*.f64 N N))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 N N)
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))
(fabs.f64 (*.f64 N N))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
(atan2.f64 #s(approx (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
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(pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))
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(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (.f64 N N) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (+.f64 N #s(literal -1 binary64))))
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(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 N N) #s(literal 1 binary64))) (*.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64))))
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(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -2 binary64)))
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(exp.f64 (+.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) (log.f64 (-.f64 N #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) N)
(*.f64 N (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (.f64 (.f64 N (pow.f64 N #s(literal -1 binary64))) (.f64 N (pow.f64 N #s(literal -1 binary64))))) (-.f64 (.f64 #s(literal 2 binary64) N) (.f64 N (pow.f64 N #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -2 binary64) N) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 N #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) N))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 N #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) N))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -2 binary64) N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) N)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) N)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) N)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)))))
(fma.f64 #s(literal 2 binary64) N (*.f64 N (pow.f64 N #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal 2 binary64) (*.f64 N (pow.f64 N #s(literal -1 binary64))))
(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) N))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) N))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) N))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) N))))) (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) N))))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) N))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) N))))) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))))))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))))))
(+.f64 (.f64 #s(literal 2 binary64) N) (.f64 N (pow.f64 N #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) N))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N))) (*.f64 #s(literal 2 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N) #s(literal 2 binary64) (.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) #s(literal 1 binary64))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx N N)
#s(approx (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (+.f64 #s(literal 1 binary64) N))
#s(approx (* (log (- N -1)) 1) N)
#s(approx (* (log (- N -1)) 1) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (* (log (- N -1)) 1) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (* (log (- N -1)) 1) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) N #s(literal 1/3 binary64)) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N))
#s(approx (* (log (- N -1)) 1) N)
#s(approx (* (log (- N -1)) 1) (*.f64 (fma.f64 #s(literal -1/2 binary64) N #s(literal 1 binary64)) N))
#s(approx (* (log (- N -1)) 1) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N #s(literal 1 binary64)) N))
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#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (+.f64 #s(literal 1 binary64) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (+.f64 #s(literal 1 binary64) N))
#s(approx (- (pow N 3) -1) #s(literal 1 binary64))
#s(approx (- (pow N 3) -1) (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(literal 1 binary64))
#s(approx (+ (* N N) (+ 1 (neg N))) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ 1 (neg N))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ 1 (neg N)) #s(literal 1 binary64))
#s(approx (+ 1 (neg N)) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
#s(approx (neg N) (neg.f64 N))
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#s(approx (/ (- (pow (- N -1) 2) (* N N)) (+ (- N -1) N)) #s(literal 1 binary64))
#s(approx (- (pow (- N -1) 2) (* N N)) #s(literal 1 binary64))
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#s(approx (pow (- N -1) 2) (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)))
#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 (+ (* 2 N) 1) #s(literal 1 binary64))
#s(approx (+ (* 2 N) 1) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
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#s(approx (+ (+ (* N N) 1) N) (*.f64 N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
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#s(approx (+ (* N N) 1) (*.f64 N N))
#s(approx (+ (* N N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (.f64 N N)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (* (log (- N -1)) 1) (log.f64 N))
#s(approx (* (log (- N -1)) 1) (+.f64 (log.f64 N) (pow.f64 N #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (-.f64 (+.f64 (log.f64 N) (pow.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (* (log (- N -1)) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (* (log (- N -1)) 1) (log.f64 N))
#s(approx (* (log (- N -1)) 1) (+.f64 (log.f64 N) (pow.f64 N #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (-.f64 (+.f64 (log.f64 N) (pow.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (* (log (- N -1)) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1/3 binary64) (pow.f64 N #s(literal -1 binary64))) (log.f64 N)) (/.f64 #s(literal 1/2 binary64) (*.f64 N N))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -2 binary64))) (.f64 N N)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (- (pow N 3) -1) (pow.f64 N #s(literal 3 binary64)))
#s(approx (- (pow N 3) -1) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ 1 (neg N))) (*.f64 N N))
#s(approx (+ (* N N) (+ 1 (neg N))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)))
#s(approx (+ (* N N) (+ 1 (neg N))) (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)))
#s(approx (+ 1 (neg N)) (neg.f64 N))
#s(approx (+ 1 (neg N)) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (- (pow (- N -1) 2) (* N N)) (*.f64 #s(literal 2 binary64) N))
#s(approx (- (pow (- N -1) 2) (* N N)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 2) (*.f64 N N))
#s(approx (pow (- N -1) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (pow (- N -1) 2) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (+ (- N -1) N) (*.f64 #s(literal 2 binary64) N))
#s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* 2 N) 1) (*.f64 #s(literal 2 binary64) N))
#s(approx (+ (* 2 N) 1) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) 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 1 (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) 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 (* (log (- N -1)) 1) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64) (pow.f64 N #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) N)) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (- N -1)) 1) (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) N)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) N) #s(literal 1/2 binary64)) N)) #s(literal 1 binary64)) N)) (log.f64 #s(literal -1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* N N) (+ 1 (neg N))) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (+ 1 (neg N)) (*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) (atan2.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))

eval45.0ms (1.6%)

Memory: -7.4MiB live, 93.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 10 828 to 1 662 computations (84.7% saved)

prune15.0ms (0.5%)

Memory

-9.3MiB live, 37.9MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	320	5	325
Fresh	4	2	6
Picked	2	3	5
Done	0	2	2
Total	326	12	338

Accuracy

99.8%

Counts

338 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.9%	(atan2.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) #s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	16.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(approx (- (pow N 4) (* (- N -1) (* N N))) (.f64 (-.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) (*.f64 N N))))))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #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 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	93.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (exp.f64 (log.f64 (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
	92.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) N #s(literal 1 binary64)))
	6.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(literal 1 binary64)))
	93.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))
✓	92.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
✓	9.6%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
✓	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
	95.8%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N)))

Compiler

Compiled 844 to 332 computations (60.7% saved)

regimes13.0ms (0.5%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(literal 1 binary64)))
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ 1 (neg N)))) N) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 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)) #s(approx (+ (* (- N -1) N) 1) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (exp.f64 (log.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 (exp.f64 (*.f64 (log.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)) (fma.f64 (pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) #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 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(atan2.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) #s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (- N -1) 3) (pow N 6)) (+ (pow (- N -1) 2) (- (pow N 4) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (fma.f64 N N (pow.f64 N #s(literal 3 binary64)))))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(approx (- (pow N 4) (* (- N -1) (* N N))) (.f64 (-.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 1 binary64)) (*.f64 N N))))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))))))

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:

7.0ms	N
5.0ms	(-.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)

regimes7.0ms (0.3%)

Memory

-35.2MiB live, 12.0MiB allocated; 2ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	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)

regimes6.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
97.9%	2	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

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)

regimes4.0ms (0.1%)

Memory

-38.3MiB live, 8.7MiB allocated; 2ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.8%	1	`N`
92.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Accuracy

Total -1.5b remaining (-2.5%)

Threshold costs -1.5b (-2.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch15.0ms (0.5%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	475.42772197222774	24502.097781008182

Samples

10.0ms

112×

valid

Compiler

Compiled 248 to 178 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-atan: 4.0ms (57.1% of total)

adjust: 2.0ms (28.6% of total)

ival-sub!: 1.0ms (14.3% of total)

ival-add!: 0.0ms (0% of total)

derivations130.0ms (4.6%)

Memory

2.6MiB live, 146.8MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 164 to 48 computations (70.7% saved)

preprocess47.0ms (1.7%)

Memory: -37.0MiB live, 106.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 342 to 108 computations (68.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.6s (57.3%)

explain107.0ms (3.8%)

preprocess72.0ms (2.5%)

series2.0ms (0.1%)

rewrite72.0ms (2.5%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series16.0ms (0.6%)

rewrite111.0ms (3.9%)

eval50.0ms (1.8%)

prune10.0ms (0.4%)

series17.0ms (0.6%)

rewrite179.0ms (6.3%)

eval67.0ms (2.4%)

prune32.0ms (1.1%)

series11.0ms (0.4%)

rewrite167.0ms (5.9%)

eval45.0ms (1.6%)

prune15.0ms (0.5%)

regimes13.0ms (0.5%)

regimes7.0ms (0.3%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch15.0ms (0.5%)

derivations130.0ms (4.6%)

preprocess47.0ms (1.7%)

end0.0ms (0%)

Profiling