Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.5s (53.9%)

Memory

60.1MiB live, 1 254.4MiB allocated; 239ms collecting garbage

Samples

1.0s	7 179×	1	valid
147.0ms	882×	2	valid
8.0ms	195×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 980.0ms

ival-atan: 577.0ms (58.9% of total)

adjust: 318.0ms (32.4% of total)

ival-sub!: 43.0ms (4.4% of total)

ival-add!: 42.0ms (4.3% of total)

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

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

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

Bogosity

preprocess148.0ms (5.5%)

Memory

-31.8MiB live, 12.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	26	26
2	52	26
3	139	24
4	992	22
5	6672	22

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.9%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series2.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Counts

6 → 9

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite55.0ms (2%)

Memory

13.0MiB live, 59.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	101
0	35	93
1	144	93
0	911	93

Stop Event

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

Counts

15 → 48

Calls

Call 1

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

Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.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 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 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) (-.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 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 N N) (neg.f64 N)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.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) (-.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: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 701 to 175 computations (75% saved)

prune2.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Accuracy

19.2%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	7.9%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))

Status

Accuracy

Program

▶

19.2%

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

▶

7.9%

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

▶

2.0%

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

Compiler

Compiled 28 to 21 computations (25% saved)

series2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Counts

13 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) 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))

1.0ms

inf

((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) 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))

0.0ms

((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) 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))

rewrite146.0ms (5.4%)

Memory

-34.7MiB live, 72.3MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	275
0	77	243
1	350	235
0	3019	232

Stop Event

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

Counts

29 → 142

Calls

Call 1

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

eval16.0ms (0.6%)

Memory: 30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 395 to 526 computations (84.5% saved)

prune6.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	143	5	148

Accuracy

99.6%

Counts

148 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
▶	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.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)))))))
▶	19.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
✓	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

Compiler

Compiled 93 to 55 computations (40.9% saved)

series11.0ms (0.4%)

Memory

-26.6MiB live, 16.5MiB allocated; 5ms collecting garbage

Counts

26 → 53

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- 1 (pow (neg (+ (* N N) N)) 3)) (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N))))))) (/ (- 1 (pow (neg (+ (* N N) N)) 3)) (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N)))))) (- 1 (pow (neg (+ (* N N) N)) 3)) (pow (neg (+ (* N N) N)) 3) (neg (+ (* N N) N)) (+ (* N N) N) 3 (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N))))) (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N)))) (* 1 (neg (+ (* N N) N))) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N))
2.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- 1 (pow (neg (+ (* N N) N)) 3)) (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N))))))) (/ (- 1 (pow (neg (+ (* N N) N)) 3)) (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N)))))) (- 1 (pow (neg (+ (* N N) N)) 3)) (pow (neg (+ (* N N) N)) 3) (neg (+ (* N N) N)) (+ (* N N) N) 3 (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N))))) (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N)))) (* 1 (neg (+ (* N N) N))) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N))
2.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- 1 (pow (neg (+ (* N N) N)) 3)) (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N))))))) (/ (- 1 (pow (neg (+ (* N N) N)) 3)) (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N)))))) (- 1 (pow (neg (+ (* N N) N)) 3)) (pow (neg (+ (* N N) N)) 3) (neg (+ (* N N) N)) (+ (* N N) N) 3 (+ 1 (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N))))) (+ (* (+ (* N N) N) (+ (* N N) N)) (* 1 (neg (+ (* N N) N)))) (* 1 (neg (+ (* N N) N))) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N))

Time

Variable

Point

Expression

5.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite202.0ms (7.5%)

Memory

-2.4MiB live, 180.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	1429
0	290	1287
1	1569	1238
0	8126	1225

Stop Event

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

Counts

79 → 347

Calls

Call 1

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

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

eval46.0ms (1.7%)

Memory: 41.6MiB live, 87.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 15 844 to 1 860 computations (88.3% saved)

prune15.0ms (0.5%)

Memory

-38.0MiB live, 22.1MiB allocated; 7ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	347	8	355
Fresh	0	0	0
Picked	2	2	4
Done	1	0	1
Total	350	10	360

Accuracy

99.6%

Counts

360 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (fma.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N) #s(literal 1 binary64)) (fma.f64 (.f64 N N) (.f64 N N) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) #s(literal 1 binary64)))))))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
▶	77.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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)))))
▶	47.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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)))))))
▶	97.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))))
	7.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
▶	6.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))

Compiler

Compiled 552 to 278 computations (49.6% saved)

series9.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

33 → 61

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite205.0ms (7.6%)

Memory

11.8MiB live, 238.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1981
0	330	1556
1	1739	1510
0	9256	1460

Stop Event

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

Counts

94 → 351

Calls

Call 1

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

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

eval42.0ms (1.5%)

Memory: 5.1MiB live, 96.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 15 434 to 1 781 computations (88.5% saved)

prune28.0ms (1%)

Memory

-12.8MiB live, 42.5MiB allocated; 27ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	303	9	312
Fresh	1	2	3
Picked	3	2	5
Done	0	2	2
Total	307	15	322

Accuracy

99.7%

Counts

322 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	19.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
	35.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.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)))))
	47.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #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 (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) (fma.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) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))))))
	77.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 N #s(literal -1 binary64))) N) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
	77.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* (* (- N -1) N) (* (- N -1) N)) (.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (.f64 N N))) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
	71.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (* (- N -1) N) (* (- N -1) N)) 1) (.f64 (.f64 N N) (.f64 N N))) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
	97.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
	45.1%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (/.f64 (fma.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N) (.f64 (.f64 N N) N)) (fma.f64 (.f64 N N) (.f64 N N) (-.f64 (.f64 N N) (.f64 (*.f64 N N) N)))))))
	97.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 (*.f64 N N) N))))
	7.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
✓	6.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
	47.6%	#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 N N) (.f64 N N)) (*.f64 N N)))) (neg.f64 N))))

Compiler

Compiled 1 345 to 412 computations (69.4% saved)

regimes26.0ms (1%)

Memory

-1.7MiB live, 37.8MiB allocated; 15ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.0ms	N

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.2%)

Memory

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

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes18.0ms (0.7%)

Memory

-37.5MiB live, 8.4MiB allocated; 8ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
7.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations186.0ms (6.9%)

Memory

7.5MiB live, 101.8MiB allocated; 39ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 154 to 39 computations (74.7% saved)

preprocess53.0ms (2%)

Memory: -3.8MiB live, 89.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 179 to 57 computations (68.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample1.5s (53.9%)

preprocess148.0ms (5.5%)

series2.0ms (0.1%)

rewrite55.0ms (2%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series2.0ms (0.1%)

rewrite146.0ms (5.4%)

eval16.0ms (0.6%)

prune6.0ms (0.2%)

series11.0ms (0.4%)

rewrite202.0ms (7.5%)

eval46.0ms (1.7%)

prune15.0ms (0.5%)

series9.0ms (0.3%)

rewrite205.0ms (7.6%)

eval42.0ms (1.5%)

prune28.0ms (1%)

regimes26.0ms (1%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes18.0ms (0.7%)

regimes2.0ms (0.1%)

derivations186.0ms (6.9%)

preprocess53.0ms (2%)

end0.0ms (0%)

Profiling