Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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 (65.5%)

Memory

33.1MiB live, 942.2MiB allocated; 791ms collecting garbage

Samples

1.0s	7 233×	1	valid
125.0ms	849×	2	valid
7.0ms	174×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 930.0ms

ival-atan: 613.0ms (65.9% of total)

adjust: 221.0ms (23.8% of total)

ival-sub!: 50.0ms (5.4% of total)

ival-add!: 47.0ms (5.1% of total)

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

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

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

Bogosity

preprocess61.0ms (2.5%)

Memory

-13.2MiB live, 32.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	37	22
2	110	21
3	325	21
4	1659	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms 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))

rewrite43.0ms (1.8%)

Memory

2.7MiB live, 47.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	56	18
0	479	18

Stop Event

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

Counts

6 → 46

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

eval5.0ms (0.2%)

Memory: 10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 461 to 186 computations (59.7% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Accuracy

19.2%

Counts

52 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 33 to 30 computations (9.1% saved)

series8.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	347

Stop Event

1×	iter-limit

Counts

16 → 22

Calls

Call 1

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

Outputs
#s(approx (* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
#s(approx (- 1 (/ (atan N) (atan (- N -1)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
#s(approx (/ (atan N) (atan (- N -1))) (/.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
#s(approx (atan N) (atan.f64 N))
#s(approx N 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 1)) (atan N)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- 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 (- (- N -1) N) (+ (* (- 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 (* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) (.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
#s(approx (- 1 (/ (atan N) (atan (- N -1)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
#s(approx (/ (atan N) (atan (- N -1))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
#s(approx (atan (- N -1)) (atan.f64 (-.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 (atan2 (- (- N -1) N) (+ (* (- 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
2.0ms	N	@	-inf	((* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) (- 1 (/ (atan N) (atan (- N -1)))) 1 (/ (atan N) (atan (- N -1))) (atan N) N (atan (- N -1)) (- N -1) -1 (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (- (atan (- N -1)) (atan N)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
1.0ms	N	@	0	((* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) (- 1 (/ (atan N) (atan (- N -1)))) 1 (/ (atan N) (atan (- N -1))) (atan N) N (atan (- N -1)) (- N -1) -1 (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (- (atan (- N -1)) (atan N)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
1.0ms	N	@	inf	((* (- 1 (/ (atan N) (atan (- N -1)))) (atan (- N -1))) (- 1 (/ (atan N) (atan (- N -1)))) 1 (/ (atan N) (atan (- N -1))) (atan N) N (atan (- N -1)) (- N -1) -1 (- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) (- (atan (- N -1)) (atan N)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

rewrite61.0ms (2.5%)

Memory

5.6MiB live, 52.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	92
0	30	80
1	165	80
0	1749	80

Stop Event

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

Counts

16 → 308

Calls

Call 1

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

Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(*.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))
(.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (.f64 (atan.f64 N) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64))))) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64)))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (-.f64 (.f64 (atan.f64 N) (atan.f64 N)) (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))))
(/.f64 (*.f64 (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (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 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (*.f64 (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (*.f64 (atan.f64 N) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))) (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(neg.f64 (*.f64 (-.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64)) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(neg.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64))))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (atan.f64 N)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (neg.f64 (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(fma.f64 #s(literal 1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))
(-.f64 (/.f64 (.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (/.f64 (.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (.f64 (atan.f64 N) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (.f64 (atan.f64 N) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (neg.f64 (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))))
(.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (neg.f64 (atan.f64 N))) (atan.f64 (-.f64 #s(literal -1 binary64) N)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) #s(literal 1 binary64)) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))))
(/.f64 (-.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (atan.f64 (-.f64 #s(literal -1 binary64) N)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal 3 binary64))))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(neg.f64 (-.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (atan.f64 N)) (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64))
(fma.f64 (atan.f64 N) (neg.f64 (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64))
(-.f64 (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))) (/.f64 (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(+.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
#s(literal 1 binary64)
(*.f64 (/.f64 (atan.f64 N) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64)))
(*.f64 (/.f64 (atan.f64 N) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (atan.f64 N)) (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(*.f64 (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(*.f64 (neg.f64 (atan.f64 N)) (/.f64 #s(literal 1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(*.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(*.f64 (atan.f64 N) (/.f64 (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64)))
(*.f64 (atan.f64 N) (/.f64 #s(literal -1 binary64) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(*.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(pow.f64 (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (atan.f64 N) #s(literal 1 binary64)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (atan.f64 N))) (atan.f64 (-.f64 #s(literal -1 binary64) N)))
(/.f64 (*.f64 #s(literal 1 binary64) (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (atan.f64 N))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (/.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) #s(literal -1 binary64))
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(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(-.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 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(-.f64 (fma.f64 N N N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N)))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))

eval51.0ms (2.1%)

Memory: -13.9MiB live, 36.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 014 to 928 computations (69.2% saved)

prune12.0ms (0.5%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	288	6	294
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	290	8	298

Accuracy

99.6%

Counts

298 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
	17.9%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
▶	2.0%	(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)))
▶	19.2%	(atan2.f64 (-.f64 N (-.f64 N #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	12.8%	(atan2.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) N)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
✓	8.0%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
✓	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))

Compiler

Compiled 164 to 140 computations (14.6% saved)

series10.0ms (0.4%)

Memory

-35.3MiB live, 11.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	317

Stop Event

1×	iter-limit

Counts

26 → 23

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- 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 N))) #s(literal 1 binary64))
#s(approx (+ 1 (* N (+ 1 N))) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ 1 (* N (+ 1 N))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
#s(approx (* N (+ 1 N)) N)
#s(approx (* N (+ 1 N)) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
#s(approx (- N 1) #s(literal -1 binary64))
#s(approx (- N 1) (-.f64 N #s(literal 1 binary64)))
#s(approx (/ (- N -1) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (- N -1) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64)))
#s(approx (/ (- N 1) N) (/.f64 #s(literal -1 binary64) N))
#s(approx (/ (- N 1) N) (/.f64 (-.f64 N #s(literal 1 binary64)) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- 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 (+ 1 (* N (+ 1 N))) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ 1 (* 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 (+ 1 N) (*.f64 N (+.f64 #s(literal 1 binary64) (/.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 (/ (- N -1) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (/ (- N 1) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- 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 (- N 1) (.f64 #s(literal -1 binary64) (.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
#s(approx (atan2 (* (- 1 (/ (- N 1) N)) N) (+ (* (- N -1) N) 1)) (atan2.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) N)) N)))) (+.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
2.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ 1 (* N (+ 1 N)))) 1 (+ 1 (* N (+ 1 N))) (* N (+ 1 N)) N (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- N (- N 1)) (+ (* (- N -1) N) 1)) (- N (- N 1)) (- N 1) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (* N N) (atan2 (* (- 1 (/ (- N 1) N)) N) (+ (* (- N -1) N) 1)) (* (- 1 (/ (- N 1) N)) N) (- 1 (/ (- N 1) N)) (/ (- N 1) N))
2.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ 1 (* N (+ 1 N)))) 1 (+ 1 (* N (+ 1 N))) (* N (+ 1 N)) N (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- N (- N 1)) (+ (* (- N -1) N) 1)) (- N (- N 1)) (- N 1) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (* N N) (atan2 (* (- 1 (/ (- N 1) N)) N) (+ (* (- N -1) N) 1)) (* (- 1 (/ (- N 1) N)) N) (- 1 (/ (- N 1) N)) (/ (- N 1) N))
2.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ 1 (* N (+ 1 N)))) 1 (+ 1 (* N (+ 1 N))) (* N (+ 1 N)) N (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- N (- N 1)) (+ (* (- N -1) N) 1)) (- N (- N 1)) (- N 1) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (* N N) (atan2 (* (- 1 (/ (- N 1) N)) N) (+ (* (- N -1) N) 1)) (* (- 1 (/ (- N 1) N)) N) (- 1 (/ (- N 1) N)) (/ (- N 1) N))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite99.0ms (4.1%)

Memory

19.7MiB live, 110.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	190
0	57	147
1	276	126
0	3157	125

Stop Event

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

Counts

26 → 634

Calls

Call 1

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

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

eval57.0ms (2.4%)

Memory: -17.1MiB live, 78.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 3 590 to 1 813 computations (49.5% saved)

prune15.0ms (0.6%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	424	14	438
Fresh	1	0	1
Picked	4	1	5
Done	2	0	2
Total	431	15	446

Accuracy

99.7%

Counts

446 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(atan2.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
✓	12.8%	(atan2.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) N)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
▶	99.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (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))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (*.f64 (fma.f64 N N N) N)) N)))
	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
	77.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (/.f64 N (-.f64 N #s(literal -1 binary64)))))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))))
	99.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 N N (.f64 #s(literal 1 binary64) (neg.f64 N)))))))))
▶	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))))))
	99.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))))
	7.9%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (* N (+ 1 N)) N))))
	77.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (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) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
▶	6.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (* N (+ 1 N))) #s(literal 1 binary64))))

Compiler

Compiled 494 to 464 computations (6.1% saved)

series14.0ms (0.6%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	716

Stop Event

1×	iter-limit

Counts

28 → 39

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

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

3.0ms

-inf

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

3.0ms

inf

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

rewrite114.0ms (4.7%)

Memory

2.7MiB live, 95.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	297
0	59	206
1	283	186
0	3703	186

Stop Event

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

Counts

28 → 1 179

Calls

Call 1

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

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

eval139.0ms (5.7%)

Memory: -8.1MiB live, 234.6MiB allocated; 69ms collecting garbage
Compiler: Compiled 10 081 to 3 891 computations (61.4% saved)

prune61.0ms (2.5%)

Memory

-22.9MiB live, 68.4MiB allocated; 12ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	945	11	956
Fresh	6	3	9
Picked	1	4	5
Done	0	1	1
Total	952	19	971

Accuracy

99.8%

Counts

971 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(atan2.f64 (.f64 (/.f64 #s(literal 1 binary64) N) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (fma.f64 N N N) N) #s(literal 1 binary64)))
✓	99.4%	(atan2.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 (.f64 (/.f64 #s(literal 1 binary64) N) N) (fma.f64 (.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) N)) N) N #s(literal 1 binary64)))
✓	12.8%	(atan2.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) N)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 (.f64 (.f64 (pow.f64 N #s(literal -1/2 binary64)) (pow.f64 N #s(literal -1/2 binary64))) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 (.f64 (.f64 N (*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N))) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	99.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 N (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) N #s(literal 1 binary64))))
	99.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N N) N) (/.f64 N (.f64 N N)) #s(literal 1 binary64))))
✓	99.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (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))))
	99.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N N) N) (.f64 N (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))))
	93.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* N N) N) N) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) N N) N)))
	77.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 N N N) N) N (.f64 N N)) (*.f64 N N))))
	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (/.f64 N (-.f64 N #s(literal -1 binary64)))))))
	7.9%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (* N (+ 1 N)) N))))
✓	6.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (* N (+ 1 N))) #s(literal 1 binary64))))

Compiler

Compiled 532 to 440 computations (17.3% saved)

regimes18.0ms (0.7%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	N
6.0ms	(-.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)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (* 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
6.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.3%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations18.0ms (0.7%)

Memory

-35.1MiB live, 11.7MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 27 to 24 computations (11.1% saved)

preprocess32.0ms (1.3%)

Memory: 2.2MiB live, 53.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 49 to 42 computations (14.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.6s (65.5%)

preprocess61.0ms (2.5%)

series5.0ms (0.2%)

rewrite43.0ms (1.8%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

series8.0ms (0.3%)

rewrite61.0ms (2.5%)

eval51.0ms (2.1%)

prune12.0ms (0.5%)

series10.0ms (0.4%)

rewrite99.0ms (4.1%)

eval57.0ms (2.4%)

prune15.0ms (0.6%)

series14.0ms (0.6%)

rewrite114.0ms (4.7%)

eval139.0ms (5.7%)

prune61.0ms (2.5%)

regimes18.0ms (0.7%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

derivations18.0ms (0.7%)

preprocess32.0ms (1.3%)

end0.0ms (0%)

Profiling