Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (38.9%)

Memory

80.5MiB live, 2 099.0MiB allocated; 505ms collecting garbage

Samples

1.1s	7 266×	1	valid
158.0ms	806×	2	valid
8.0ms	184×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 947.0ms

ival-atan: 594.0ms (62.7% of total)

adjust: 261.0ms (27.5% of total)

ival-sub!: 48.0ms (5.1% of total)

ival-add!: 44.0ms (4.6% of total)

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

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

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

Bogosity

preprocess57.0ms (1.4%)

Memory

0.1MiB live, 44.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	37	22
2	110	21
3	325	21
4	1661	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.2%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series11.0ms (0.3%)

Memory

-35.5MiB live, 10.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	83

Stop Event

1×	iter-limit

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

rewrite205.0ms (4.9%)

Memory

42.1MiB live, 228.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	56	18
2	168	18
3	518	18
4	2300	18
0	8506	18

Stop Event

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

Counts

6 → 138

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
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (neg.f64 (atan.f64 N)))) (neg.f64 (atan.f64 N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))) (neg.f64 (atan.f64 N)))
(*.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 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (*.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))))))
(/.f64 (-.f64 (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)) (-.f64 (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.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 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (atan.f64 N) (atan.f64 N))) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (atan.f64 N) (atan.f64 N) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))))
(neg.f64 (atan2.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(-.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))
(neg.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 N #s(literal 1/2 binary64)) (+.f64 N #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) (+.f64 N (-.f64 N #s(literal -1 binary64))) (-.f64 (.f64 N N) (.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) (neg.f64 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (.f64 N N) (.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (neg.f64 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N N) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (fma.f64 (+.f64 N N) (+.f64 N N) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1/2 binary64) N)) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) (-.f64 #s(literal 1/2 binary64) (neg.f64 N))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (-.f64 N (neg.f64 N)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N) (-.f64 (.f64 (-.f64 N (neg.f64 N)) (-.f64 N (neg.f64 N))) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 N (neg.f64 N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (+.f64 N N) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N) (-.f64 (.f64 (+.f64 N N) (+.f64 N N)) (.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (pow.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)) #s(literal 3 binary64))) (+.f64 (.f64 N N) (-.f64 (.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N))) (*.f64 (neg.f64 N) (-.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 (.f64 N N) (-.f64 (.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (neg.f64 N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) (+.f64 N (-.f64 N #s(literal -1 binary64))) (fma.f64 N N (*.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) N))))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 N N (*.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N N) #s(literal 3 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 N N) (+.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N N) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 N) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (.f64 N N) (.f64 #s(literal 1 binary64) (-.f64 (neg.f64 N) #s(literal 0 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) N)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 N #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 N #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) N #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 N N) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 N) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 N) #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 N) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 N) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 N N) (-.f64 (+.f64 N N) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 N #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 N #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 N #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (.f64 N N) (.f64 #s(literal 1 binary64) (neg.f64 N)))))
(/.f64 (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (.f64 N N) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 N N) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 2 binary64) N (-.f64 #s(literal 1 binary64) N))
(fma.f64 N #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) N))
(-.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) N)
(-.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(-.f64 (+.f64 N N) (-.f64 N #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) N))
(-.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 N) #s(literal 0 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 N) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) (neg.f64 N))
(+.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (neg.f64 N))
(+.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) N))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(+.f64 (-.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 N (neg.f64 N)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 N (neg.f64 N)))
(+.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N N))
(+.f64 (neg.f64 N) (/.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) (-.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)))
(+.f64 (neg.f64 N) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(+.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(neg.f64 (atan.f64 (*.f64 N #s(literal -1 binary64))))
(neg.f64 (atan.f64 (*.f64 #s(literal -1 binary64) N)))
(neg.f64 (atan.f64 (-.f64 (neg.f64 N) #s(literal 0 binary64))))
(neg.f64 (neg.f64 (atan.f64 N)))
(atan.f64 N)

eval48.0ms (1.2%)

Memory: -20.7MiB live, 30.2MiB allocated; 46ms collecting garbage
Compiler: Compiled 1 146 to 661 computations (42.3% saved)

prune4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	2	144

Accuracy

99.6%

Counts

144 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 14 to 14 computations (0% saved)

series5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	201

Stop Event

1×	iter-limit

Counts

10 → 16

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1)
1.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1)
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite618.0ms (14.8%)

Memory

-64.6MiB live, 192.8MiB allocated; 694ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	18	42
1	95	42
2	238	42
3	710	42
4	3097	42
0	8325	42

Stop Event

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

Counts

10 → 402

Calls

Call 1

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

Outputs
(atan2.f64 (-.f64 #s(approx (+ N 1) #s(literal 1 binary64)) N) (fma.f64 #s(approx (+ N 1) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (neg.f64 (atan.f64 N)))) (neg.f64 (atan.f64 N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))) (neg.f64 (atan.f64 N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan.f64 N)) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))) (+.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (-.f64 (neg.f64 (atan.f64 N)) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)) (-.f64 (.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (.f64 (neg.f64 (atan.f64 N)) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (-.f64 (.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (.f64 (atan.f64 N) (atan.f64 N))) (+.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N)))
(/.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan.f64 N) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N)))))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(-.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))
(+.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(neg.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ N 1) #s(literal 1 binary64))))
#s(literal 1 binary64)
(neg.f64 (atan.f64 (+.f64 #s(literal 0 binary64) (neg.f64 N))))
(neg.f64 (atan.f64 (-.f64 (neg.f64 N) #s(literal 0 binary64))))
(neg.f64 (neg.f64 (atan.f64 N)))
(atan.f64 N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.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 (-.f64 N #s(literal -1 binary64)) (.f64 N N))) (*.f64 N N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (fma.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)))
(.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 (fma.f64 #s(literal 2 binary64) (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1/2 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 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 N N N))
(*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1/2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 N N N)) (+.f64 #s(literal 1/2 binary64) (fma.f64 N N N)))) (-.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 N N N))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal -1 binary64) N) N)) (-.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal -1 binary64) N) N)))) (-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N))))
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#s(literal -1 binary64)

eval56.0ms (1.3%)

Memory: -32.5MiB live, 68.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 3 109 to 1 584 computations (49.1% saved)

prune11.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	401	7	408
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	401	9	410

Accuracy

99.7%

Counts

410 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
▶	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N) N #s(literal 1 binary64)))
▶	79.3%	(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	53.9%	(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 N N N)))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
▶	99.6%	(atan2.f64 #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))))
✓	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 154 to 142 computations (7.8% saved)

series26.0ms (0.6%)

Memory

-21.6MiB live, 22.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1344

Stop Event

1×	iter-limit

Counts

30 → 68

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	((atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 1 (+ (* (* (- 1 (/ -1 N)) N) N) 1)) (+ (* (* (- 1 (/ -1 N)) N) N) 1) (* (- 1 (/ -1 N)) N) (- 1 (/ -1 N)) (/ -1 N) -1 (atan2 1 (+ (* (/ 1 (/ 2 (+ (* 2 N) 2))) N) 1)) (+ (* (/ 1 (/ 2 (+ (* 2 N) 2))) N) 1) (/ 1 (/ 2 (+ (* 2 N) 2))) (/ 2 (+ (* 2 N) 2)) 2 (+ (* 2 N) 2) (atan2 1 (* (+ 1 (/ (* N N) (- N -1))) (- N -1))) (* (+ 1 (/ (* N N) (- N -1))) (- N -1)) (+ 1 (/ (* N N) (- N -1))) (/ (* N N) (- N -1)) (* N N) (- N -1) (atan2 1 (/ (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (- (+ (* N N) N) 1))) (/ (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (- (+ (* N N) N) 1)) (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (* 1 1) (- (+ (* N N) N) 1))
3.0ms	N	@	inf	((atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 1 (+ (* (* (- 1 (/ -1 N)) N) N) 1)) (+ (* (* (- 1 (/ -1 N)) N) N) 1) (* (- 1 (/ -1 N)) N) (- 1 (/ -1 N)) (/ -1 N) -1 (atan2 1 (+ (* (/ 1 (/ 2 (+ (* 2 N) 2))) N) 1)) (+ (* (/ 1 (/ 2 (+ (* 2 N) 2))) N) 1) (/ 1 (/ 2 (+ (* 2 N) 2))) (/ 2 (+ (* 2 N) 2)) 2 (+ (* 2 N) 2) (atan2 1 (* (+ 1 (/ (* N N) (- N -1))) (- N -1))) (* (+ 1 (/ (* N N) (- N -1))) (- N -1)) (+ 1 (/ (* N N) (- N -1))) (/ (* N N) (- N -1)) (* N N) (- N -1) (atan2 1 (/ (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (- (+ (* N N) N) 1))) (/ (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (- (+ (* N N) N) 1)) (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (* 1 1) (- (+ (* N N) N) 1))
3.0ms	N	@	0	((atan2 1 (+ (+ (* N N) 1) N)) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 1 (+ (* (* (- 1 (/ -1 N)) N) N) 1)) (+ (* (* (- 1 (/ -1 N)) N) N) 1) (* (- 1 (/ -1 N)) N) (- 1 (/ -1 N)) (/ -1 N) -1 (atan2 1 (+ (* (/ 1 (/ 2 (+ (* 2 N) 2))) N) 1)) (+ (* (/ 1 (/ 2 (+ (* 2 N) 2))) N) 1) (/ 1 (/ 2 (+ (* 2 N) 2))) (/ 2 (+ (* 2 N) 2)) 2 (+ (* 2 N) 2) (atan2 1 (* (+ 1 (/ (* N N) (- N -1))) (- N -1))) (* (+ 1 (/ (* N N) (- N -1))) (- N -1)) (+ 1 (/ (* N N) (- N -1))) (/ (* N N) (- N -1)) (* N N) (- N -1) (atan2 1 (/ (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (- (+ (* N N) N) 1))) (/ (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (- (+ (* N N) N) 1)) (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (* 1 1) (- (+ (* N N) N) 1))

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

rewrite344.0ms (8.2%)

Memory

45.3MiB live, 472.3MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	220
0	60	167
1	332	167
2	1437	164
0	8409	146

Stop Event

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

Counts

30 → 4 176

Calls

Call 1

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

Outputs
(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 (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 N N (/.f64 N (-.f64 N #s(literal -1 binary64)))))) (fma.f64 N N (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))) (.f64 N (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))))) (.f64 N (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 (.f64 N N) #s(literal 1 binary64)))) (/.f64 (*.f64 N N) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) (.f64 N N))) (*.f64 N N))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) N)))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))) (-.f64 N (/.f64 (-.f64 #s(literal -1 binary64) N) N)))
(.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))
(.f64 (.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))
(*.f64 (fma.f64 N N (/.f64 N (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)))
(*.f64 (-.f64 N (/.f64 (-.f64 #s(literal -1 binary64) N) N)) (/.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))
(*.f64 (-.f64 N (/.f64 (-.f64 #s(literal -1 binary64) N) N)) N)
(*.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 (-.f64 N #s(literal -1 binary64)) (.f64 N N))) (*.f64 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 (/.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)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(*.f64 (-.f64 #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 (/.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(.f64 (fma.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N 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 N (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) N) (neg.f64 (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))))
(.f64 (fma.f64 (.f64 (fma.f64 N N N) N) (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))) (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))
(*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (fma.f64 N N (/.f64 N (-.f64 N #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (.f64 N (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))))
(.f64 N (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))))
(*.f64 N (-.f64 N (/.f64 (-.f64 #s(literal -1 binary64) N) N)))
(*.f64 #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 (.f64 N N) #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) N (fma.f64 N N N)) N)
(/.f64 (fma.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) (/.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 (.f64 N N) #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 N N) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(/.f64 (fma.f64 (*.f64 N N) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 N N) N (fma.f64 N N N)) N)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 N #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(/.f64 (+.f64 N (*.f64 (fma.f64 N N N) N)) N)
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) (neg.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 N N) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))
(/.f64 (fma.f64 #s(literal -2 binary64) N (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) N (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) N) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)) (*.f64 (+.f64 N N) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)))
(/.f64 (fma.f64 #s(literal 2 binary64) N (.f64 (.f64 (fma.f64 N N N) N) #s(literal 2 binary64))) (+.f64 N N))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) (.f64 #s(literal -2 binary64) N)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))
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(fma.f64 (*.f64 N #s(literal -1/2 binary64)) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 N #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 N #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 N #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 N N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal -1 binary64) N) N)
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) (.f64 N N))) (.f64 N N) #s(literal -1 binary64))
(fma.f64 (/.f64 N N) (/.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (-.f64 N #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) N) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) N) (*.f64 (neg.f64 N) N) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (.f64 N N))) (.f64 N N) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal -1 binary64) N) (neg.f64 N) #s(literal -1 binary64))
(fma.f64 (fabs.f64 N) (neg.f64 (neg.f64 (fabs.f64 N))) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(fma.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (/.f64 (*.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N) #s(literal -1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 N N (-.f64 N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (fabs.f64 N))) (neg.f64 (fabs.f64 N))))
(-.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 (neg.f64 N) N))
(-.f64 (fma.f64 N N N) #s(literal 1 binary64))
(-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (fabs.f64 N))) (fabs.f64 N)))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) N)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 N N N)))
(-.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N))
(-.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(+.f64 (fma.f64 N N #s(literal -1 binary64)) N)
(+.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(+.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 N N N))
(+.f64 N (fma.f64 N N #s(literal -1 binary64)))

eval304.0ms (7.3%)

Memory: 5.9MiB live, 508.5MiB allocated; 79ms collecting garbage
Compiler: Compiled 18 816 to 8 071 computations (57.1% saved)

prune59.0ms (1.4%)

Memory

4.5MiB live, 101.1MiB allocated; 12ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 947	13	1 960
Fresh	2	0	2
Picked	4	1	5
Done	1	1	2
Total	1 954	15	1 969

Accuracy

99.8%

Counts

1 969 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
▶	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N N) (/.f64 #s(literal 1 binary64) N)) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
▶	79.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (*.f64 (fma.f64 N N N) N)) N))
	71.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N)) (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	79.2%	(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
▶	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64)))

Compiler

Compiled 261 to 247 computations (5.4% saved)

series18.0ms (0.4%)

Memory

-10.6MiB live, 35.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1216

Stop Event

1×	iter-limit

Counts

28 → 66

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	((atan2 1 (+ (* (- 1 (/ -1 N)) (* N N)) 1)) 1 (+ (* (- 1 (/ -1 N)) (* N N)) 1) (- 1 (/ -1 N)) (/ -1 N) -1 N (* N N) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (atan2 1 (+ (* (/ 1 (/ 1 (- N -1))) N) 1)) (+ (* (/ 1 (/ 1 (- N -1))) N) 1) (/ 1 (/ 1 (- N -1))) (/ 1 (- N -1)) (- N -1) (atan2 1 (+ (* (/ N (/ -1 (+ (* -2 N) -2))) 1/2) 1)) (+ (* (/ N (/ -1 (+ (* -2 N) -2))) 1/2) 1) (/ N (/ -1 (+ (* -2 N) -2))) (/ -1 (+ (* -2 N) -2)) (+ (* -2 N) -2) -2 1/2 (atan2 1 (/ (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (- (+ (* N N) N) 1))) (/ (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (- (+ (* N N) N) 1)) (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (* (+ (* N N) N) N) (+ (* N N) N) (- (+ (* N N) N) 1))
2.0ms	N	@	0	((atan2 1 (+ (* (- 1 (/ -1 N)) (* N N)) 1)) 1 (+ (* (- 1 (/ -1 N)) (* N N)) 1) (- 1 (/ -1 N)) (/ -1 N) -1 N (* N N) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (atan2 1 (+ (* (/ 1 (/ 1 (- N -1))) N) 1)) (+ (* (/ 1 (/ 1 (- N -1))) N) 1) (/ 1 (/ 1 (- N -1))) (/ 1 (- N -1)) (- N -1) (atan2 1 (+ (* (/ N (/ -1 (+ (* -2 N) -2))) 1/2) 1)) (+ (* (/ N (/ -1 (+ (* -2 N) -2))) 1/2) 1) (/ N (/ -1 (+ (* -2 N) -2))) (/ -1 (+ (* -2 N) -2)) (+ (* -2 N) -2) -2 1/2 (atan2 1 (/ (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (- (+ (* N N) N) 1))) (/ (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (- (+ (* N N) N) 1)) (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (* (+ (* N N) N) N) (+ (* N N) N) (- (+ (* N N) N) 1))
2.0ms	N	@	inf	((atan2 1 (+ (* (- 1 (/ -1 N)) (* N N)) 1)) 1 (+ (* (- 1 (/ -1 N)) (* N N)) 1) (- 1 (/ -1 N)) (/ -1 N) -1 N (* N N) (atan2 1 (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (atan2 1 (+ (* (/ 1 (/ 1 (- N -1))) N) 1)) (+ (* (/ 1 (/ 1 (- N -1))) N) 1) (/ 1 (/ 1 (- N -1))) (/ 1 (- N -1)) (- N -1) (atan2 1 (+ (* (/ N (/ -1 (+ (* -2 N) -2))) 1/2) 1)) (+ (* (/ N (/ -1 (+ (* -2 N) -2))) 1/2) 1) (/ N (/ -1 (+ (* -2 N) -2))) (/ -1 (+ (* -2 N) -2)) (+ (* -2 N) -2) -2 1/2 (atan2 1 (/ (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (- (+ (* N N) N) 1))) (/ (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (- (+ (* N N) N) 1)) (+ (* (- N -1) (* (+ (* N N) N) N)) -1) (* (+ (* N N) N) N) (+ (* N N) N) (- (+ (* N N) N) 1))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite234.0ms (5.6%)

Memory

-3.0MiB live, 293.4MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	202
0	58	196
1	320	169
2	1270	160
3	7085	160
0	8152	159

Stop Event

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

Counts

28 → 1 860

Calls

Call 1

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

Outputs
(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 (fma.f64 #s(literal 1/2 binary64) N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) N))
(.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 (-.f64 #s(literal -1 binary64) N) (.f64 N N))) (*.f64 N N))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 N N)) N)) N)
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))) (*.f64 N N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) 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 #s(literal -1 binary64) (fma.f64 N N N))) (fma.f64 N N N))
(*.f64 (fma.f64 #s(literal 1/2 binary64) N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)))
(*.f64 (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.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 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 N N N))
(*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 N (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N))
(*.f64 N (+.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 N N N) N N) N)
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) N (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(/.f64 (/.f64 (-.f64 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 (neg.f64 N) N (-.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) N)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(/.f64 (fma.f64 (*.f64 N N) N (fma.f64 N N N)) 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 (*.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 (+.f64 N (*.f64 (fma.f64 N N N) N)) N)
(/.f64 (-.f64 (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.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 (-.f64 (.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 (.f64 #s(literal -1/2 binary64) N) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) N (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) N) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)))))
(/.f64 (fma.f64 (neg.f64 N) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) N (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) (.f64 (neg.f64 N) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) N (.f64 (.f64 (fma.f64 N N N) N) #s(literal 2 binary64))) (+.f64 N N))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) (+.f64 N N)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))))
(/.f64 (+.f64 (neg.f64 N) (.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) N)) (neg.f64 N))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (.f64 (.f64 N N) (.f64 N N))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
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(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (.f64 N N) (.f64 (fma.f64 N N N) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (.f64 N N) (.f64 #s(literal 0 binary64) (fma.f64 N N N)))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N N) #s(literal 0 binary64)))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) N) N) (.f64 (fma.f64 N N N) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal -1 binary64) N) N) (.f64 #s(literal 0 binary64) (fma.f64 N N N)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) (*.f64 (fma.f64 N N N) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) (*.f64 #s(literal 0 binary64) (fma.f64 N N N)))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) N)
(-.f64 (.f64 N N) (.f64 (*.f64 (neg.f64 N) N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 (.f64 N N) (.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 N N)))
(-.f64 (*.f64 N N) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 N) N))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) N) (.f64 #s(literal -2 binary64) N)) (.f64 (*.f64 #s(literal -1/2 binary64) N) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) N) #s(literal -2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) N) (*.f64 #s(literal -2 binary64) N)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) N) (+.f64 N N)) (.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 N N) N)) (*.f64 #s(literal 1/2 binary64) (+.f64 N N)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 N N)) (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 N N) N)))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) N) (.f64 #s(literal -1/2 binary64) N)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) N)))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) N)) (.f64 (.f64 #s(literal -2 binary64) N) (*.f64 #s(literal -1/2 binary64) N)))
(+.f64 (.f64 (+.f64 N N) (.f64 #s(literal 1/2 binary64) N)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) N)))
(+.f64 (.f64 (.f64 (+.f64 N N) N) #s(literal 1/2 binary64)) (*.f64 (+.f64 N N) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 N N) #s(literal 1/2 binary64)) (.f64 (*.f64 (+.f64 N N) N) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) N)) (.f64 (+.f64 N N) (.f64 #s(literal 1/2 binary64) N)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) N) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) N) (+.f64 N N)))
(+.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) #s(literal 0 binary64)))
(+.f64 (fma.f64 N N N) (*.f64 #s(literal 0 binary64) (fma.f64 N N N)))
(+.f64 (*.f64 N N) N)
(+.f64 N (*.f64 N N))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) N))
(.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 #s(literal 1 binary64) N) (.f64 N N))) (*.f64 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 (-.f64 N #s(literal 1 binary64)) (.f64 N N))) (*.f64 N N))
(*.f64 (-.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #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) (fma.f64 N 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 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 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 (+.f64 (neg.f64 N) (*.f64 (fma.f64 N N N) N)) N)
(/.f64 (+.f64 N (.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) N)) (neg.f64 N))
(/.f64 (-.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (.f64 (.f64 N N) (.f64 N N))) (-.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (-.f64 N (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 N N N) (fma.f64 N N N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) N #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 N N) #s(literal 3 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (-.f64 N #s(literal 1 binary64)) (.f64 N N)))))
(/.f64 (+.f64 (.f64 (.f64 N N) N) (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (.f64 (-.f64 #s(literal -1 binary64) N) N))))
(/.f64 (-.f64 (pow.f64 (.f64 N N) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (fma.f64 (.f64 N N) (.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N) (.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (fma.f64 (fma.f64 N N N) N (neg.f64 N)) N)
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) N N) (neg.f64 N))
(/.f64 (+.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) N) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 N) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 N) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 N N N) N) #s(literal 2 binary64)) (+.f64 N N)) (+.f64 N N))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) N) (neg.f64 N)) (neg.f64 N))
(/.f64 (-.f64 (*.f64 (fma.f64 N N N) N) N) N)
(/.f64 (-.f64 (*.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 N N) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) N) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (-.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal -1 binary64) N) N))))
(/.f64 (+.f64 (pow.f64 (.f64 N N) #s(literal 3 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 N N) (.f64 N N) (-.f64 (.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))) (.f64 (.f64 N N) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (-.f64 N (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N 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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) N) (-.f64 N #s(literal -1 binary64))) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 N N))
(fma.f64 (*.f64 #s(literal -1/2 binary64) N) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 N N N) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 N N N) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 N) N) (/.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal -1 binary64) N) N)
(fma.f64 (-.f64 #s(literal 1 binary64) N) #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 #s(literal 1 binary64) (/.f64 (neg.f64 N) (.f64 N N))) (.f64 N N) #s(literal -1 binary64))
(fma.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 N N))
(fma.f64 (*.f64 #s(literal 1/2 binary64) N) (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) N) (*.f64 (neg.f64 N) N) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (.f64 N N))) (.f64 N N) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal -1 binary64) N) (neg.f64 N) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) N) #s(literal -1 binary64))
(fma.f64 (neg.f64 N) (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) N) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) N) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) N) #s(literal -1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(fma.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) #s(literal -1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N) #s(literal -1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 N N (-.f64 N #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 N #s(literal 1 binary64)))
(-.f64 (fma.f64 N N #s(literal -1 binary64)) (neg.f64 N))
(-.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 (neg.f64 N) N))
(-.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 N N N) #s(literal 1 binary64))
(-.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(-.f64 N (-.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64)))
(-.f64 N (fma.f64 (neg.f64 N) N #s(literal 1 binary64)))
(-.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(-.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N))
(+.f64 (fma.f64 N N #s(literal -1 binary64)) N)
(+.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(+.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64)))
(+.f64 N (*.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))))
(+.f64 N (*.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 N (fma.f64 N N #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 N N N))

eval224.0ms (5.4%)

Memory: 25.9MiB live, 428.2MiB allocated; 117ms collecting garbage
Compiler: Compiled 12 019 to 5 683 computations (52.7% saved)

prune36.0ms (0.9%)

Memory

-2.8MiB live, 87.3MiB allocated; 13ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 366	3	1 369
Fresh	2	6	8
Picked	1	4	5
Done	0	2	2
Total	1 369	15	1 384

Accuracy

99.8%

Counts

1 384 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N #s(approx (/ -1 (+ (* -2 N) -2)) (/.f64 #s(literal 1/2 binary64) N))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) N #s(literal -2 binary64))) N)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.7%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (*.f64 N N) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N N) (/.f64 #s(literal 1 binary64) N)) N #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N N) N) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
✓	79.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	71.0%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (+ (* N N) N) (+ (* N N) N)) (* 1 1)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64))))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	79.2%	(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (+.f64 #s(literal 1 binary64) N)))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64)))

Compiler

Compiled 314 to 270 computations (14% saved)

regimes14.0ms (0.3%)

Memory

36.2MiB live, 36.2MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) #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
99.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.7%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes57.0ms (1.4%)

Memory

-19.4MiB live, 42.0MiB allocated; 90ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	N
4.0ms	(-.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)

regimes6.0ms (0.1%)

Memory

-36.1MiB live, 10.2MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

4.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
8.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.1%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) 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
6.5%	1	`N`
6.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations132.0ms (3.2%)

Memory

-0.1MiB live, 142.2MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 25 to 22 computations (12% saved)

preprocess79.0ms (1.9%)

Memory: 6.0MiB live, 98.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 47 to 40 computations (14.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.6s (38.9%)

preprocess57.0ms (1.4%)

series11.0ms (0.3%)

rewrite205.0ms (4.9%)

eval48.0ms (1.2%)

prune4.0ms (0.1%)

series5.0ms (0.1%)

rewrite618.0ms (14.8%)

eval56.0ms (1.3%)

prune11.0ms (0.3%)

series26.0ms (0.6%)

rewrite344.0ms (8.2%)

eval304.0ms (7.3%)

prune59.0ms (1.4%)

series18.0ms (0.4%)

rewrite234.0ms (5.6%)

eval224.0ms (5.4%)

prune36.0ms (0.9%)

regimes14.0ms (0.3%)

regimes57.0ms (1.4%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

derivations132.0ms (3.2%)

preprocess79.0ms (1.9%)

end0.0ms (0%)

Profiling