Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (54.2%)

Memory

77.7MiB live, 1 254.4MiB allocated; 863ms collecting garbage

Samples

758.0ms	7 258×	1	valid
398.0ms	811×	2	valid
9.0ms	187×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 694.0ms

ival-atan: 327.0ms (47.1% of total)

adjust: 271.0ms (39% of total)

ival-add!: 51.0ms (7.3% of total)

ival-sub!: 45.0ms (6.5% of total)

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

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

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

Bogosity

preprocess70.0ms (2.7%)

Memory

-32.2MiB live, 18.0MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	38	22
2	119	21
3	273	21
4	1640	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(-.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

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

Counts

6 → 10

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite66.0ms (2.6%)

Memory

26.0MiB live, 70.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
0	36	98
1	172	98
0	982	98

Stop Event

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

Counts

16 → 68

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 551 to 232 computations (57.9% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Accuracy

18.5%

Counts

62 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.5%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	7.7%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶	4.1%	(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

Status

Accuracy

Program

▶

18.5%

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

▶

7.7%

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

▶

4.1%

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

series3.0ms (0.1%)

Memory

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

Counts

13 → 28

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 N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan 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
1.0ms	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)
1.0ms	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

1.0ms

-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)

1.0ms

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)

rewrite193.0ms (7.5%)

Memory

-42.4MiB live, 116.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	385
0	92	341
1	442	337
0	3612	334

Stop Event

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

Counts

41 → 238

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

eval33.0ms (1.3%)

Memory: -7.1MiB live, 37.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 308 to 757 computations (67.2% saved)

prune5.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	235	3	238

Accuracy

99.7%

Counts

238 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.5%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
▶	5.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Status

Accuracy

Program

▶

18.5%

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

▶

5.2%

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

▶

99.7%

(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 32 to 32 computations (0% saved)

series3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

15 → 30

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N))
1.0ms	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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N))
1.0ms	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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N))

Time

Variable

Point

Expression

1.0ms

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

1.0ms

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

1.0ms

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

rewrite117.0ms (4.5%)

Memory

-21.9MiB live, 119.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	523
0	98	459
1	432	412
0	4320	406

Stop Event

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

Counts

45 → 445

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) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(*.f64 N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#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) #s(hole binary64 (/ 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 (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 (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 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 (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) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 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 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(.f64 (fma.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (/.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 (fma.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (/.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 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (neg.f64 N) (.f64 N N))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (.f64 (neg.f64 N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N)))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N) (.f64 (.f64 N N) N)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)))) (.f64 (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N)) (.f64 (neg.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)) (.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N) (.f64 (.f64 N N) N)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (fma.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 binary64)) (.f64 (.f64 N N) N)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (-.f64 (.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 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 #s(literal -1 binary64)) (*.f64 N N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N)))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N) (.f64 (.f64 N N) N)) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))))) (.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N))))
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eval102.0ms (3.9%)

Memory: 28.8MiB live, 73.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 193 to 1 255 computations (60.7% saved)

prune28.0ms (1.1%)

Memory

-24.3MiB live, 22.2MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	416	10	426
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	418	11	429

Accuracy

99.8%

Counts

429 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N #s(literal 1 binary64)))
▶	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	78.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) N))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) N #s(literal 1 binary64)))
▶	78.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
▶	94.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))

Compiler

Compiled 282 to 270 computations (4.3% saved)

series11.0ms (0.4%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

28 → 91

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (- (- N -1) N) 1 (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (- N -1) N -1 (* N N) (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) 1) (atan2 (- (- N -1) N) (+ (* (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) N) 1)) (+ (* (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) N) 1) (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) (+ (* (* N N) N) 1) (- (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (neg (* (* N N) (+ (* N N) -1))) (/ 1 (- N (* N N)))) 1)) (+ (* (neg (* (* N N) (+ (* N N) -1))) (/ 1 (- N (* N N)))) 1) (neg (* (* N N) (+ (* N N) -1))) (* (* N N) (+ (* N N) -1)) (+ (* N N) -1) (/ 1 (- N (* N N))) (- N (* N N)))
3.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (- (- N -1) N) 1 (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (- N -1) N -1 (* N N) (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) 1) (atan2 (- (- N -1) N) (+ (* (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) N) 1)) (+ (* (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) N) 1) (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) (+ (* (* N N) N) 1) (- (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (neg (* (* N N) (+ (* N N) -1))) (/ 1 (- N (* N N)))) 1)) (+ (* (neg (* (* N N) (+ (* N N) -1))) (/ 1 (- N (* N N)))) 1) (neg (* (* N N) (+ (* N N) -1))) (* (* N N) (+ (* N N) -1)) (+ (* N N) -1) (/ 1 (- N (* N N))) (- N (* N N)))
2.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (- (- N -1) N) 1 (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (- N -1) N -1 (* N N) (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) 1) (atan2 (- (- N -1) N) (+ (* (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) N) 1)) (+ (* (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) N) 1) (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) (+ (* (* N N) N) 1) (- (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (neg (* (* N N) (+ (* N N) -1))) (/ 1 (- N (* N N)))) 1)) (+ (* (neg (* (* N N) (+ (* N N) -1))) (/ 1 (- N (* N N)))) 1) (neg (* (* N N) (+ (* N N) -1))) (* (* N N) (+ (* N N) -1)) (+ (* N N) -1) (/ 1 (- N (* N N))) (- N (* N N)))

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite161.0ms (6.2%)

Memory

-3.9MiB live, 223.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1910
0	292	1826
1	1439	1748
0	8174	1712

Stop Event

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

Counts

119 → 437

Calls

Call 1

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

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

eval113.0ms (4.4%)

Memory: 33.3MiB live, 86.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 5 484 to 2 165 computations (60.5% saved)

prune35.0ms (1.4%)

Memory

-3.2MiB live, 42.5MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	442	13	455
Fresh	2	3	5
Picked	2	3	5
Done	0	1	1
Total	446	20	466

Accuracy

99.9%

Counts

466 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	94.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) #s(approx (- (+ ( N N) 1) N) (*.f64 N N))) N #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 N N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 N N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (.f64 (.f64 N N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (/.f64 (.f64 (.f64 N N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
✓	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (.f64 N N) #s(literal 1 binary64)))
	35.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 8 binary64)) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (neg.f64 (.f64 N N))))) (/.f64 #s(literal 1 binary64) (-.f64 N (.f64 N N))) #s(literal 1 binary64)))
	78.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N (pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
	73.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) #s(approx (/ 1 (- N (* N N))) (/.f64 #s(literal -1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
	78.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 (exp.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 1 binary64)))
	76.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 #s(approx (* (* N N) (+ (* N N) -1)) (.f64 (.f64 (.f64 N N) N) N))) (/.f64 #s(literal 1 binary64) (-.f64 N (.f64 N N))) #s(literal 1 binary64)))
	78.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N)))))
	78.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N)) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
	6.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
✓	94.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
	78.8%	#s(approx (atan2 (- (- N -1) N) (+ (* (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 N N) N) N N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))

Compiler

Compiled 649 to 476 computations (26.7% saved)

regimes18.0ms (0.7%)

Memory

-18.1MiB live, 25.7MiB allocated; 5ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(literal 1 binary64)))
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) (.f64 N N) #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) #s(approx (- (+ ( N N) 1) N) (*.f64 N N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N)) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) #s(approx (/ 1 (- N (* N N))) (/.f64 #s(literal -1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 #s(approx (* (* N N) (+ (* N N) -1)) (.f64 (.f64 (.f64 N N) N) N))) (/.f64 #s(literal 1 binary64) (-.f64 N (.f64 N N))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (+ (* (* N N) N) 1) (- (+ (* N N) 1) N)) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 N N) N) N N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 (.f64 N N) (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) N)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (.f64 (exp.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 8 binary64)) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (neg.f64 (.f64 N N))))) (/.f64 #s(literal 1 binary64) (-.f64 N (.f64 N N))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N (pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 N N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 N N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (.f64 (.f64 N N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (.f64 (/.f64 (.f64 (.f64 N N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))) N #s(literal 1 binary64)))

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

Calls

2 calls:

11.0ms	N
5.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.7%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
97.2%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

5 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(literal 1 binary64)))
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- N -1) N) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.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
94.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
94.4%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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)

regimes2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Accuracy

Total -1.4b remaining (-2.4%)

Threshold costs -1.4b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.2%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations119.0ms (4.6%)

Memory

-14.8MiB live, 130.3MiB allocated; 37ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 36 to 27 computations (25% saved)

preprocess79.0ms (3.1%)

Memory: -17.4MiB live, 73.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 58 to 45 computations (22.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.4s (54.2%)

preprocess70.0ms (2.7%)

series2.0ms (0.1%)

rewrite66.0ms (2.6%)

eval6.0ms (0.2%)

prune3.0ms (0.1%)

series3.0ms (0.1%)

rewrite193.0ms (7.5%)

eval33.0ms (1.3%)

prune5.0ms (0.2%)

series3.0ms (0.1%)

rewrite117.0ms (4.5%)

eval102.0ms (3.9%)

prune28.0ms (1.1%)

series11.0ms (0.4%)

rewrite161.0ms (6.2%)

eval113.0ms (4.4%)

prune35.0ms (1.4%)

regimes18.0ms (0.7%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

derivations119.0ms (4.6%)

preprocess79.0ms (3.1%)

end0.0ms (0%)

Profiling