Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze9.0ms (0.3%)

Memory

-40.8MiB live, 6.0MiB allocated; 6ms 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 (49.9%)

Memory

44.4MiB live, 2 017.4MiB allocated; 285ms collecting garbage

Samples

1.0s	7 314×	1	valid
127.0ms	752×	2	valid
9.0ms	190×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 940.0ms

ival-atan: 536.0ms (57% of total)

adjust: 251.0ms (26.7% of total)

ival-add!: 111.0ms (11.8% of total)

ival-sub!: 42.0ms (4.5% of total)

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

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

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

Bogosity

preprocess74.0ms (2.3%)

Memory

-12.2MiB live, 46.7MiB 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
▶	9.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.1%)

Memory

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

Counts

6 → 8

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))

rewrite55.0ms (1.7%)

Memory

31.9MiB live, 76.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	98
0	34	90
1	143	90
0	919	90

Stop Event

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

Counts

14 → 47

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 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 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))) (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)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (+.f64 (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)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (.f64 (atan.f64 N) (atan.f64 N)) (+.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)))) (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 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)))) (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 N N) (neg.f64 N)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) N))
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 #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 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))))

eval4.0ms (0.1%)

Memory: 9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 354 to 169 computations (52.3% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	3	41

Accuracy

15.9%

Counts

41 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.9%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	9.0%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶	4.2%	(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

Status

Accuracy

Program

▶

15.9%

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

▶

9.0%

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

▶

4.2%

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

series13.0ms (0.4%)

Memory

-40.0MiB live, 6.3MiB allocated; 2ms collecting garbage

Counts

13 → 26

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 (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))
#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 (- (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 (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 (- (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 (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
10.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -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) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)

Time

Variable

Point

Expression

10.0ms

inf

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

0.0ms

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

rewrite96.0ms (3%)

Memory

32.8MiB live, 136.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	377
0	91	337
1	369	329
0	3081	326

Stop Event

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

Counts

39 → 152

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

eval20.0ms (0.6%)

Memory: 6.1MiB live, 51.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 490 to 552 computations (63% saved)

prune10.0ms (0.3%)

Memory

-23.4MiB live, 21.1MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	166	8	174
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	168	9	177

Accuracy

99.6%

Counts

177 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.5%	(atan2.f64 (/.f64 (-.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 N N) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (*.f64 N (-.f64 N (-.f64 #s(literal -1 binary64) N))))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	12.5%	(atan2.f64 (/.f64 (-.f64 (.f64 N N) (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (+.f64 N (-.f64 N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
✓	15.9%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	15.8%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (fma.f64 N N N) (-.f64 N (.f64 N N))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))))
▶	14.6%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
▶	15.8%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	12.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
▶	5.1%	(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)))

Compiler

Compiled 250 to 203 computations (18.8% saved)

series19.0ms (0.6%)

Memory

11.0MiB live, 53.0MiB allocated; 4ms collecting garbage

Counts

32 → 102

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 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (fma.f64 N N N) (-.f64 N (.f64 N N))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (fma.f64 N N N) (-.f64 N (.f64 N N))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (.f64 (fma.f64 N N N) (-.f64 N (.f64 N N))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64)))
(.f64 (fma.f64 N N N) (-.f64 N (.f64 N N)))
(fma.f64 N N N)
(-.f64 N (*.f64 N N))
(*.f64 N N)
#s(literal 2 binary64)
(.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (.f64 N N) N) N) (*.f64 N N))
(.f64 (.f64 (*.f64 N N) N) N)
(.f64 (.f64 N N) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(.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 (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 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (* (+ N (pow N 2)) (- N (pow N 2)))) (* 2 (- N (pow N 2)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* 2 N)))
#s(approx (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* N (+ 2 (* -2 (pow N 3))))))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (pow N 2)))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (- N (* N N)) #s(hole binary64 N))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* 2 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- 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 (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 1))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 1))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (* (* (* (* N N) N) N) (* N N)) #s(hole binary64 (pow N 6)))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#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 (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* -2 (pow N 4))))
#s(approx (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 4) (- (* 2 (/ 1 (pow N 3))) 2))))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- 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 (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- 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 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* -1/2 (/ (+ (* -2 (* (+ (* -1 N) (pow N 2)) (- (pow N 2) (* -1 N)))) (* -2 (+ (* -1 N) (pow N 2)))) (+ (* -1 N) (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- 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 (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- 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 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) N) (- N (* N N))) (+ (* N N) N) (- N (* N N)) (* N N) 2 (* (- N (* N N)) 2) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- N -1) (- N -1)) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
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 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) N) (- N (* N N))) (+ (* N N) N) (- N (* N N)) (* N N) 2 (* (- N (* N N)) 2) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- N -1) (- N -1)) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
4.0ms	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 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) N) (- N (* N N))) (+ (* N N) N) (- N (* N N)) (* N N) 2 (* (- N (* N N)) 2) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- N -1) (- N -1)) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- 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 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) N) (- N (* N N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) N) (- N (* N N))) (+ (* N N) N) (- N (* N N)) (* N N) 2 (* (- N (* N N)) 2) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- N -1) (- N -1)) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))

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

4.0ms

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

rewrite220.0ms (6.8%)

Memory

18.0MiB live, 295.2MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	2965
0	410	2225
1	1927	2162
0	8368	2130

Stop Event

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

Counts

134 → 523

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

eval107.0ms (3.3%)

Memory: -5.3MiB live, 137.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 9 482 to 3 148 computations (66.8% saved)

prune35.0ms (1.1%)

Memory

-5.3MiB live, 43.0MiB allocated; 1ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	732	13	745
Fresh	3	0	3
Picked	4	1	5
Done	0	1	1
Total	739	15	754

Accuracy

99.6%

Counts

754 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	12.5%	(atan2.f64 (/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
✓	15.9%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	15.8%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N))) (/.f64 (fma.f64 (-.f64 N (.f64 N N)) (fma.f64 N N N) (-.f64 N (.f64 N N))) #s(literal 2 binary64))))
▶	4.2%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
✓	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)))
▶	93.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
	77.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
	96.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 N N))))
	93.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
	46.3%	#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N) (.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) N) N)) (-.f64 (fma.f64 (.f64 (.f64 N N) N) N (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))) (.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
	99.5%	#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))))
▶	99.5%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N (fma.f64 N N N)) (/.f64 (.f64 #s(literal -2 binary64) (-.f64 N (.f64 N N))) (-.f64 N (.f64 N N)))) #s(literal 1/2 binary64))))

Compiler

Compiled 494 to 413 computations (16.4% saved)

series11.0ms (0.3%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

38 → 96

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

rewrite226.0ms (7%)

Memory

-21.4MiB live, 216.3MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	2145
0	297	1932
1	1150	1703
0	8691	1669

Stop Event

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

Counts

134 → 975

Calls

Call 1

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

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

eval158.0ms (4.9%)

Memory: 3.2MiB live, 194.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 11 466 to 4 912 computations (57.2% saved)

prune42.0ms (1.3%)

Memory

13.0MiB live, 60.3MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	907	15	922
Fresh	4	4	8
Picked	4	1	5
Done	1	1	2
Total	916	21	937

Accuracy

99.7%

Counts

937 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.1%	(atan2.f64 (/.f64 (/.f64 (.f64 (.f64 (-.f64 N (-.f64 #s(literal -1 binary64) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) N)) (.f64 (-.f64 N (-.f64 #s(literal -1 binary64) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) N))) (.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 N (-.f64 #s(literal -1 binary64) N)))) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	93.8%	(atan2.f64 (/.f64 #s(approx (- (* (- N -1) (- N -1)) (* N N)) (+.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
✓	15.9%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	15.8%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N))) (/.f64 (fma.f64 (-.f64 N (.f64 N N)) (fma.f64 N N N) (-.f64 N (.f64 N N))) #s(literal 2 binary64))))
✓	4.2%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	40.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 #s(approx (+ 1 N) N) N) (.f64 #s(approx (+ 1 N) N) N)) (.f64 #s(approx (+ 1 N) N) N) #s(literal 1 binary64)) (fma.f64 (.f64 #s(approx (+ 1 N) N) N) (.f64 #s(approx (+ 1 N) N) N) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ 1 N) N) N) #s(literal 1 binary64))))))
	71.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(approx (+ 1 N) N) N) (.f64 #s(approx (+ 1 N) N) N) #s(literal -1 binary64)) (fma.f64 #s(approx (+ 1 N) N) N #s(literal -1 binary64))))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) (.f64 N N) (*.f64 N N))))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (.f64 N N) N)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N (-.f64 N #s(literal -1 binary64)))))
	46.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
	93.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
	46.3%	#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N) (.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) N) N)) (-.f64 (fma.f64 (.f64 (.f64 N N) N) N (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))) (.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 (pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) N (fma.f64 N N N)) (/.f64 (.f64 #s(literal -2 binary64) (-.f64 N (.f64 N N))) (-.f64 N (.f64 N N)))) #s(literal 1/2 binary64))))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 (.f64 (.f64 N N) (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))) N (fma.f64 N N N)) (/.f64 (.f64 #s(literal -2 binary64) (-.f64 N (.f64 N N))) (-.f64 N (*.f64 N N)))) #s(literal 1/2 binary64))))
	94.6%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (fma.f64 (exp.f64 (.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) N (fma.f64 N N N)) (/.f64 (.f64 #s(literal -2 binary64) (-.f64 N (.f64 N N))) (-.f64 N (*.f64 N N)))) #s(literal 1/2 binary64))))
	96.1%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (* (- (+ (* (+ 1 N) N) (+ (* N N) N)) (/ (* -2 (- N (* N N))) (- N (* N N)))) 1/2) (fma.f64 N N N))))
	7.8%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (* (- (+ (* (+ 1 N) N) (+ (* N N) N)) (/ (* -2 (- N (* N N))) (- N (* N N)))) 1/2) (-.f64 N #s(literal -1 binary64)))))
	6.2%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (* (- (+ (* (+ 1 N) N) (+ (* N N) N)) (/ (* -2 (- N (* N N))) (- N (* N N)))) 1/2) #s(literal 1 binary64))))

Compiler

Compiled 940 to 622 computations (33.8% saved)

regimes31.0ms (1%)

Memory

-14.9MiB live, 36.2MiB allocated; 4ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

18.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
10.0ms	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 7 to 7 computations (0% saved)

regimes14.0ms (0.4%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N (-.f64 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 7 to 7 computations (0% saved)

regimes18.0ms (0.5%)

Memory

-35.0MiB live, 11.0MiB allocated; 5ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
3.0ms	N

Results

Accuracy	Segments	Branch
96.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.1%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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
93.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
93.7%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (* (- (+ (* (+ 1 N) N) (+ (* N N) N)) (/ (* -2 (- N (* N N))) (- N (* N N)))) 1/2) (-.f64 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
7.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
7.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Accuracy

Total -1.4b remaining (-2.4%)

Threshold costs -1.4b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (* (- (+ (* (+ 1 N) N) (+ (* N N) N)) (/ (* -2 (- N (* N N))) (- N (* N N)))) 1/2) #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
6.2%	1	`N`
6.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations309.0ms (9.6%)

Memory

-6.1MiB live, 271.1MiB allocated; 35ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 94 to 53 computations (43.6% saved)

preprocess132.0ms (4.1%)

Memory: -2.6MiB live, 158.8MiB allocated; 121ms collecting garbage
Compiler: Compiled 116 to 71 computations (38.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze9.0ms (0.3%)

sample1.6s (49.9%)

preprocess74.0ms (2.3%)

series2.0ms (0.1%)

rewrite55.0ms (1.7%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

series13.0ms (0.4%)

rewrite96.0ms (3%)

eval20.0ms (0.6%)

prune10.0ms (0.3%)

series19.0ms (0.6%)

rewrite220.0ms (6.8%)

eval107.0ms (3.3%)

prune35.0ms (1.1%)

series11.0ms (0.3%)

rewrite226.0ms (7%)

eval158.0ms (4.9%)

prune42.0ms (1.3%)

regimes31.0ms (1%)

regimes14.0ms (0.4%)

regimes18.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

derivations309.0ms (9.6%)

preprocess132.0ms (4.1%)

end0.0ms (0%)

Profiling