Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (53%)

Memory

59.2MiB live, 1 272.7MiB allocated; 361ms collecting garbage

Samples

908.0ms	7 187×	1	valid
162.0ms	866×	2	valid
9.0ms	203×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 781.0ms

ival-atan: 430.0ms (55.1% of total)

adjust: 241.0ms (30.9% of total)

ival-add!: 68.0ms (8.7% of total)

ival-sub!: 42.0ms (5.4% of total)

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

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

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

Bogosity

preprocess75.0ms (2.9%)

Memory

-25.1MiB live, 32.5MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite54.0ms (2.1%)

Memory

26.9MiB live, 73.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
0	36	98
1	145	98
0	921	98

Stop Event

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

Counts

16 → 49

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 366 to 178 computations (51.4% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Accuracy

20.8%

Counts

43 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.8%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	9.0%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶	4.1%	(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

Status

Accuracy

Program

▶

20.8%

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

▶

9.0%

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

▶

4.1%

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

series4.0ms (0.2%)

Memory

-41.3MiB live, 6.0MiB allocated; 2ms collecting garbage

Counts

13 → 28

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
1.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)

Time

Variable

Point

Expression

3.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite77.0ms (2.9%)

Memory

34.3MiB live, 34.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	385
0	92	345
1	370	337
0	3079	334

Stop Event

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

Counts

41 → 154

Calls

Call 1

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

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

eval49.0ms (1.9%)

Memory: -27.4MiB live, 18.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 498 to 541 computations (63.9% saved)

prune6.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	149	6	155

Accuracy

99.5%

Counts

155 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
✓	20.8%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	19.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
▶	19.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
▶	5.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 156 to 125 computations (19.9% saved)

series16.0ms (0.6%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

32 → 122

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (+ N (pow N 2)) 3)) (+ 1 (* (+ N (pow N 2)) (- (* N (+ 1 N)) 1)))))))
#s(approx (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 1))
#s(approx (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 2)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 1))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 1))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (* (* (* (* N N) N) N) (* N N)) #s(hole binary64 (pow N 6)))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (+ N (pow N 2)) 3)) (+ 1 (* (+ N (pow N 2)) (- (+ N (pow N 2)) 1)))))))
#s(approx (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 4)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) #s(hole binary64 (atan2 1 (/ (+ 1 (pow (- (pow N 2) (* -1 N)) 3)) (+ 1 (* (- (* N (- 1 (* -1 N))) 1) (- (pow N 2) (* -1 N))))))))
#s(approx (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- N -1) (- N -1)) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
4.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- N -1) (- N -1)) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
4.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1)) (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (* (- N -1) (- N -1)) (* (* (* (* N N) N) N) (* N N)) (* (* (* N N) N) N) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))

Time

Variable

Point

Expression

6.0ms

-inf

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

4.0ms

inf

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

4.0ms

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

rewrite174.0ms (6.7%)

Memory

-18.8MiB live, 232.5MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	406	3542
0	475	2821
1	2376	2790
0	8067	2752

Stop Event

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

Counts

154 → 441

Calls

Call 1

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

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

eval77.0ms (3%)

Memory: -16.9MiB live, 72.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 8 344 to 2 435 computations (70.8% saved)

prune13.0ms (0.5%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	485	10	495
Fresh	0	0	0
Picked	3	2	5
Done	1	0	1
Total	489	12	501

Accuracy

99.6%

Counts

501 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
▶	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	92.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
▶	75.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
	7.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 N N))))
▶	92.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
	52.5%	#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N) (.f64 (.f64 (.f64 (.f64 (.f64 N N) N) N) N) N)) (-.f64 (fma.f64 (.f64 (.f64 N N) N) N (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))) (.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
	52.5%	#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) 1) (+ (* (+ (* N N) N) (+ (* (- N -1) N) -1)) 1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 (.f64 N N) (neg.f64 N)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) (neg.f64 N)) #s(literal 1 binary64)))))
▶	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) N) #s(literal 1 binary64))))

Compiler

Compiled 442 to 358 computations (19% saved)

series7.0ms (0.3%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

29 → 84

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite191.0ms (7.3%)

Memory

3.2MiB live, 229.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1917
0	254	1568
1	1009	1416
0	9167	1318

Stop Event

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

Counts

113 → 1 070

Calls

Call 1

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

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

eval121.0ms (4.7%)

Memory: -10.0MiB live, 187.2MiB allocated; 24ms collecting garbage
Compiler: Compiled 10 258 to 4 231 computations (58.8% saved)

prune34.0ms (1.3%)

Memory

-7.4MiB live, 48.7MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	895	17	912
Fresh	4	1	5
Picked	3	2	5
Done	2	0	2
Total	904	20	924

Accuracy

99.7%

Counts

924 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	37.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 (.f64 N N) N (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N))) (fma.f64 N N N)) (fma.f64 N N (.f64 (.f64 N N) (-.f64 (.f64 N N) N)))) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
	60.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 (fma.f64 N N N) N)) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
	53.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (.f64 (fma.f64 N N N) N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
	75.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N) #s(literal 1 binary64))))
	52.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 N N) N (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (.f64 N (fma.f64 N N #s(literal -1 binary64))))))))
	52.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))))
	68.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 #s(approx (- (* (* (- N -1) N) (* (- N -1) N)) 1) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
	96.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (* (- N -1) N) (* (- N -1) N)) 1) (- (* (- N -1) N) 1)) (fma.f64 N N N)))
	7.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (- (* (* (- N -1) N) (* (- N -1) N)) 1) (- (* (- N -1) N) 1)) (-.f64 N #s(literal -1 binary64))))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 N (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 N N)))))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (.f64 (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) (/.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N N))))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (.f64 (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (.f64 N N))) (*.f64 N N))))
	96.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (.f64 #s(approx (+ (+ (/ 1 N) 1) (/ 1 ( N N))) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 N N))))
✓	92.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
	6.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (* (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (* N N)) #s(literal 1 binary64))))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64))))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal -1 binary64))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 824 to 596 computations (27.7% saved)

regimes20.0ms (0.8%)

Memory

-11.2MiB live, 34.4MiB allocated; 4ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	N
9.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.5%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.3%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
92.5%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

-36.5MiB live, 10.0MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

regimes3.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Accuracy

Total -1.5b remaining (-2.6%)

Threshold costs -1.5b (-2.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (* (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (* N 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
6.4%	1	`N`
6.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations238.0ms (9.1%)

Memory

-7.8MiB live, 232.2MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 65 to 39 computations (40% saved)

preprocess40.0ms (1.5%)

Memory: 37.5MiB live, 87.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 87 to 57 computations (34.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.4s (53%)

preprocess75.0ms (2.9%)

series2.0ms (0.1%)

rewrite54.0ms (2.1%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series4.0ms (0.2%)

rewrite77.0ms (2.9%)

eval49.0ms (1.9%)

prune6.0ms (0.2%)

series16.0ms (0.6%)

rewrite174.0ms (6.7%)

eval77.0ms (3%)

prune13.0ms (0.5%)

series7.0ms (0.3%)

rewrite191.0ms (7.3%)

eval121.0ms (4.7%)

prune34.0ms (1.3%)

regimes20.0ms (0.8%)

regimes6.0ms (0.2%)

regimes4.0ms (0.2%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

derivations238.0ms (9.1%)

preprocess40.0ms (1.5%)

end0.0ms (0%)

Profiling