Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample1.9s (59.6%)

Memory

-107.2MiB live, 1 513.5MiB allocated; 985ms collecting garbage

Samples

976.0ms	7 224×	1	valid
645.0ms	829×	2	valid
15.0ms	203×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-atan: 774.0ms (56.3% of total)

adjust: 361.0ms (26.2% of total)

ival-sub!: 183.0ms (13.3% of total)

ival-add!: 58.0ms (4.2% of total)

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

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

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

Bogosity

preprocess77.0ms (2.4%)

Memory

-11.8MiB live, 35.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	24	23
2	37	23
3	69	23
4	141	23
5	415	23
6	2759	23
7	7361	23

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite57.0ms (1.8%)

Memory

23.7MiB live, 68.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
0	36	98
1	159	98
0	1028	98

Stop Event

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

Counts

16 → 54

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 414 to 189 computations (54.3% saved)

prune2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Accuracy

20.7%

Counts

49 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	7.8%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶	4.1%	(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))

Status

Accuracy

Program

▶

20.7%

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

▶

7.8%

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

▶

4.1%

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

Compiler

Compiled 21 to 20 computations (4.8% saved)

series3.0ms (0.1%)

Memory

4.9MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

13 → 28

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite156.0ms (4.8%)

Memory

-20.9MiB live, 156.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	385
0	92	341
1	405	337
0	3245	334

Stop Event

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

Counts

41 → 184

Calls

Call 1

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

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

eval51.0ms (1.5%)

Memory: -17.4MiB live, 40.1MiB allocated; 21ms collecting garbage
Compiler: Compiled 1 674 to 624 computations (62.7% saved)

prune6.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	202	5	207
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	205	5	210

Accuracy

99.7%

Counts

210 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
▶	20.6%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
▶	20.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	5.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 114 to 104 computations (8.8% saved)

series10.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

27 → 91

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

3.0ms

-inf

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

2.0ms

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

rewrite186.0ms (5.7%)

Memory

-11.5MiB live, 271.3MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1957
0	305	1470
1	1490	1389
0	8157	1372

Stop Event

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

Counts

118 → 712

Calls

Call 1

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

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

eval96.0ms (3%)

Memory: 10.5MiB live, 198.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 8 259 to 2 907 computations (64.8% saved)

prune20.0ms (0.6%)

Memory

4.3MiB live, 51.8MiB allocated; 1ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	762	12	774
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	766	13	779

Accuracy

99.7%

Counts

779 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (* (- -1 N) (- -1 N)) (* (* (* N N) N) N)) (neg.f64 (.f64 (.f64 (.f64 N N) N) N))) (-.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))))
	20.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
▶	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	93.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
	75.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
	49.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
	75.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (-.f64 N #s(literal -1 binary64))))
▶	93.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (*.f64 N N)))

Compiler

Compiled 390 to 350 computations (10.3% saved)

series9.0ms (0.3%)

Memory

22.8MiB live, 22.8MiB allocated; 0ms collecting garbage

Counts

28 → 84

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite189.0ms (5.8%)

Memory

-12.6MiB live, 268.9MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	1960
0	284	1374
1	1430	1280
0	8443	1272

Stop Event

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

Counts

112 → 664

Calls

Call 1

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

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

eval103.0ms (3.1%)

Memory: -1.6MiB live, 138.9MiB allocated; 44ms collecting garbage
Compiler: Compiled 5 525 to 2 319 computations (58% saved)

prune20.0ms (0.6%)

Memory

-7.5MiB live, 41.5MiB allocated; 3ms collecting garbage

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	540	5	545
Fresh	2	5	7
Picked	1	4	5
Done	0	1	1
Total	543	15	558

Accuracy

99.7%

Counts

558 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.7%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
✓	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64)))
	59.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (-.f64 (.f64 (*.f64 N N) N) #s(literal -1 binary64))) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	93.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
	75.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
✓	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	75.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	49.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N N)))) N))
	97.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (-.f64 N #s(literal -1 binary64))))
✓	93.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (*.f64 N N)))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 N N) N) N) (-.f64 N #s(literal 1 binary64))))))

Compiler

Compiled 436 to 332 computations (23.9% saved)

regimes14.0ms (0.4%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.3%)

Memory

-31.3MiB live, 15.5MiB allocated; 2ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	N
3.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

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

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
93.7%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.6%	1	`N`
93.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
7.8%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #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
4.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
4.1%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations228.0ms (7%)

Memory

-30.3MiB live, 204.7MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 60 to 39 computations (35% saved)

preprocess59.0ms (1.8%)

Memory: 43.0MiB live, 136.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 82 to 57 computations (30.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.9s (59.6%)

preprocess77.0ms (2.4%)

series2.0ms (0%)

rewrite57.0ms (1.8%)

eval5.0ms (0.1%)

prune2.0ms (0.1%)

series3.0ms (0.1%)

rewrite156.0ms (4.8%)

eval51.0ms (1.5%)

prune6.0ms (0.2%)

series10.0ms (0.3%)

rewrite186.0ms (5.7%)

eval96.0ms (3%)

prune20.0ms (0.6%)

series9.0ms (0.3%)

rewrite189.0ms (5.8%)

eval103.0ms (3.1%)

prune20.0ms (0.6%)

regimes14.0ms (0.4%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

derivations228.0ms (7%)

preprocess59.0ms (1.8%)

end0.0ms (0%)

Profiling