Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.7s (52.9%)

Memory

17.3MiB live, 924.1MiB allocated; 826ms collecting garbage

Samples

1.2s	7 233×	1	valid
159.0ms	849×	2	valid
8.0ms	174×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

adjust: 461.0ms (40% of total)

ival-atan: 340.0ms (29.5% of total)

ival-add!: 307.0ms (26.6% of total)

ival-sub!: 44.0ms (3.8% of total)

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

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

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

Bogosity

preprocess59.0ms (1.9%)

Memory

-1.0MiB live, 44.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	37	22
2	110	21
3	325	21
4	1666	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Counts

6 → 9

Calls

Call 1

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

rewrite87.0ms (2.8%)

Memory

9.6MiB live, 55.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	101
0	35	93
1	190	93
0	1265	93

Stop Event

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

Counts

15 → 73

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 (+ 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 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (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 #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 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.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 (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 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 (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))) (neg.f64 (neg.f64 (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 (neg.f64 N) #s(literal 1 binary64))))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 N (/.f64 (-.f64 N #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 (-.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(.f64 (fma.f64 N (.f64 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 N #s(literal -1 binary64)) N) N)
(*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 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 N (*.f64 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 N (*.f64 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 N (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 N (*.f64 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 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 N #s(literal -1 binary64))) N)
(/.f64 (-.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 N (*.f64 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 N (*.f64 N N) #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N)))
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(neg.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #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 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (/.f64 #s(literal -1 binary64) N) N))
(-.f64 N #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(+.f64 (/.f64 (.f64 N (.f64 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 N (.f64 N N)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
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) (-.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: 7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 572 to 246 computations (57% saved)

prune3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Accuracy

19.2%

Counts

67 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	8.0%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
▶	8.0%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (atan.f64 (-.f64 N #s(literal -1 binary64))))

Compiler

Compiled 33 to 30 computations (9.1% saved)

series6.0ms (0.2%)

Memory

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

Counts

16 → 22

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	((* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) (- 1 (/ (atan N) (atan (- N -1)))) 1 (/ (atan N) (atan (- N -1))) (atan N) N (atan (- N -1)) (- N -1) -1 (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (- (atan (- N -1)) (atan N)) (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (- (- N -1) N) (+ (* N (- N -1)) 1))
2.0ms	N	@	0	((* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) (- 1 (/ (atan N) (atan (- N -1)))) 1 (/ (atan N) (atan (- N -1))) (atan N) N (atan (- N -1)) (- N -1) -1 (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (- (atan (- N -1)) (atan N)) (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (- (- N -1) N) (+ (* N (- N -1)) 1))
1.0ms	N	@	inf	((* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) (- 1 (/ (atan N) (atan (- N -1)))) 1 (/ (atan N) (atan (- N -1))) (atan N) N (atan (- N -1)) (- N -1) -1 (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (- (atan (- N -1)) (atan N)) (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (- (- N -1) N) (+ (* N (- N -1)) 1))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

1.0ms

inf

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

rewrite140.0ms (4.5%)

Memory

20.0MiB live, 116.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	439
0	106	353
1	589	349
0	5260	348

Stop Event

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

Counts

38 → 527

Calls

Call 1

Inputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
#s(literal 1 binary64)
(/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(atan.f64 N)
N
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
#s(approx (* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) #s(hole binary64 (* (atan (+ 1 N)) (- 1 (/ (atan N) (atan (+ 1 N)))))))
#s(approx (- 1 (/ (atan N) (atan (- N -1)))) #s(hole binary64 (- 1 (/ (atan N) (atan (+ 1 N))))))
#s(approx (/ (atan N) (atan (- N -1))) #s(hole binary64 (/ (atan N) (atan (+ 1 N)))))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* N (- N -1)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N (- N -1)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N (- N -1)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* N (- N -1)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) #s(hole binary64 (* (atan (- 1 (* -1 N))) (- 1 (/ (atan N) (atan (- 1 (* -1 N))))))))
#s(approx (- 1 (/ (atan N) (atan (- N -1)))) #s(hole binary64 (- 1 (/ (atan N) (atan (- 1 (* -1 N)))))))
#s(approx (/ (atan N) (atan (- N -1))) #s(hole binary64 (/ (atan N) (atan (- 1 (* -1 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 (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 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 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))))
(*.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (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))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64))))) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64)))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (-.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 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (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 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (*.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))) (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(neg.f64 (*.f64 (-.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64)) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(neg.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64))))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (atan.f64 N)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(fma.f64 #s(literal 1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))
(-.f64 (/.f64 (.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (+.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 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (.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))) (neg.f64 (neg.f64 (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))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))))
(.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64))))
(*.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (neg.f64 (atan.f64 N))) (atan.f64 (-.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) #s(literal 1 binary64)) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (.f64 #s(literal 2 binary64) (neg.f64 (atan.f64 N)))) (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 #s(literal 2 binary64) (atan.f64 N))) (*.f64 #s(literal 2 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (atan.f64 (-.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64)))
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eval75.0ms (2.4%)

Memory: -29.1MiB live, 116.1MiB allocated; 22ms collecting garbage
Compiler: Compiled 5 872 to 1 729 computations (70.6% saved)

prune13.0ms (0.4%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	561	4	565
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	564	5	569

Accuracy

99.6%

Counts

569 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (.f64 (.f64 (.f64 N N) N) N))) (.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
▶	19.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	12.8%	(atan2.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) N)) N) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

Compiler

Compiled 62 to 57 computations (8.1% saved)

series14.0ms (0.4%)

Memory

-25.5MiB live, 21.7MiB allocated; 2ms collecting garbage

Counts

29 → 59

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (* (- 1 (/ (- N 1) N)) N) (+ (* N (- N -1)) 1)) (* (- 1 (/ (- N 1) N)) N) (- 1 (/ (- N 1) N)) (/ (- N 1) N) (- N 1) (+ (* N (- N -1)) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (- N -1) (* N N))))) (/ (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (- N -1) (* N N)))) (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N)) (* (- -1 N) (- -1 N)) (- -1 N) (* (* (* N N) N) N) (* (* N N) N) (* N N) (- 1 (/ (- N -1) (* N N))) (/ (- N -1) (* N N)))
4.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (* (- 1 (/ (- N 1) N)) N) (+ (* N (- N -1)) 1)) (* (- 1 (/ (- N 1) N)) N) (- 1 (/ (- N 1) N)) (/ (- N 1) N) (- N 1) (+ (* N (- N -1)) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (- N -1) (* N N))))) (/ (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (- N -1) (* N N)))) (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N)) (* (- -1 N) (- -1 N)) (- -1 N) (* (* (* N N) N) N) (* (* N N) N) (* N N) (- 1 (/ (- N -1) (* N N))) (/ (- N -1) (* N N)))
4.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (* (- 1 (/ (- N 1) N)) N) (+ (* N (- N -1)) 1)) (* (- 1 (/ (- N 1) N)) N) (- 1 (/ (- N 1) N)) (/ (- N 1) N) (- N 1) (+ (* N (- N -1)) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (- N -1) (* N N))))) (/ (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (- N -1) (* N N)))) (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N)) (* (- -1 N) (- -1 N)) (- -1 N) (* (* (* N N) N) N) (* (* N N) N) (* N N) (- 1 (/ (- N -1) (* N N))) (/ (- N -1) (* N N)))

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

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

4.0ms

inf

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

rewrite188.0ms (6%)

Memory

20.9MiB live, 171.0MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1559
0	272	1284
1	1508	1167
0	8505	1143

Stop Event

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

Counts

88 → 966

Calls

Call 1

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

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

eval133.0ms (4.2%)

Memory: -6.3MiB live, 226.9MiB allocated; 43ms collecting garbage
Compiler: Compiled 11 568 to 4 745 computations (59% saved)

prune56.0ms (1.8%)

Memory

-14.8MiB live, 32.2MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	920	8	928
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	923	10	933

Accuracy

99.6%

Counts

933 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (* (- 1 (/ (* (- -1 N) (- -1 N)) (* (* (* N N) N) N))) (* N N)) (fma.f64 N N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
✓	12.8%	(atan2.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) N)) N) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
	99.4%	(atan2.f64 (*.f64 #s(approx (- 1 (/ (- N 1) N)) (/.f64 #s(literal 1 binary64) N)) N) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64))))
▶	99.3%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))))) N #s(literal 1 binary64))))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
▶	96.8%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
	7.9%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
▶	6.3%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))

Compiler

Compiled 321 to 292 computations (9% saved)

series8.0ms (0.3%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

35 → 30

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite205.0ms (6.5%)

Memory

-4.9MiB live, 223.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	922
0	191	630
1	1249	573
0	8704	572

Stop Event

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

Counts

65 → 1 775

Calls

Call 1

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

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

eval174.0ms (5.5%)

Memory: -20.3MiB live, 227.9MiB allocated; 46ms collecting garbage
Compiler: Compiled 13 123 to 5 125 computations (60.9% saved)

prune25.0ms (0.8%)

Memory

3.3MiB live, 49.3MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	942	8	950
Fresh	1	2	3
Picked	3	2	5
Done	0	2	2
Total	946	14	960

Accuracy

99.7%

Counts

960 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	12.8%	(atan2.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) N)) N) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
	99.4%	(atan2.f64 (*.f64 #s(approx (- 1 (/ (- N 1) N)) (/.f64 #s(literal 1 binary64) N)) N) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
	99.3%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64))))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.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)))) N #s(literal 1 binary64))))
✓	96.8%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
	75.0%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (/.f64 (fma.f64 (.f64 (.f64 N N) N) N N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
	96.7%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (/.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))))))
	7.9%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
	96.9%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 (*.f64 N N) N))))
	96.6%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 (.f64 N N) N #s(literal 1 binary64))))))
	96.9%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
	74.9%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (.f64 (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))))
✓	6.3%	#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))

Compiler

Compiled 444 to 374 computations (15.8% saved)

regimes13.0ms (0.4%)

Memory

23.6MiB live, 23.7MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	N
5.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.9%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* N (- N -1)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N 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
96.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes17.0ms (0.5%)

Memory

-40.9MiB live, 5.2MiB allocated; 4ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

derivations164.0ms (5.2%)

Memory

40.3MiB live, 87.3MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 40 to 30 computations (25% saved)

preprocess79.0ms (2.5%)

Memory: 1.5MiB live, 95.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 62 to 48 computations (22.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.7s (52.9%)

preprocess59.0ms (1.9%)

series2.0ms (0.1%)

rewrite87.0ms (2.8%)

eval6.0ms (0.2%)

prune3.0ms (0.1%)

series6.0ms (0.2%)

rewrite140.0ms (4.5%)

eval75.0ms (2.4%)

prune13.0ms (0.4%)

series14.0ms (0.4%)

rewrite188.0ms (6%)

eval133.0ms (4.2%)

prune56.0ms (1.8%)

series8.0ms (0.3%)

rewrite205.0ms (6.5%)

eval174.0ms (5.5%)

prune25.0ms (0.8%)

regimes13.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes17.0ms (0.5%)

derivations164.0ms (5.2%)

preprocess79.0ms (2.5%)

end0.0ms (0%)

Profiling