Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.8s (59.8%)

Memory

-9.6MiB live, 1 638.7MiB allocated; 1.1s collecting garbage

Samples

915.0ms	7 253×	1	valid
180.0ms	817×	2	valid
8.0ms	186×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 813.0ms

ival-atan: 398.0ms (49% of total)

adjust: 318.0ms (39.1% of total)

ival-add!: 56.0ms (6.9% of total)

ival-sub!: 41.0ms (5% of total)

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

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

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

Bogosity

preprocess155.0ms (5.2%)

Memory

-34.8MiB live, 55.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	26	26
2	52	26
3	138	24
4	1033	22
5	6779	22

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 (0.1%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite52.0ms (1.7%)

Memory

-6.0MiB live, 45.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

16 → 49

Calls

Call 1

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

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

eval10.0ms (0.3%)

Memory: 10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 366 to 178 computations (51.4% saved)

prune2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accuracy

18.4%

Counts

43 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.4%	(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

▶

18.4%

(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

3.6MiB live, 3.6MiB 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)

rewrite77.0ms (2.6%)

Memory

23.4MiB live, 68.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	385
0	92	345
1	370	337
0	3080	334

Stop Event

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

Counts

41 → 154

Calls

Call 1

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

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

eval18.0ms (0.6%)

Memory: -19.6MiB live, 25.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 498 to 541 computations (63.9% saved)

prune6.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	150	5	155

Accuracy

99.6%

Counts

155 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
▶	18.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
▶	18.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	5.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 112 to 104 computations (7.1% saved)

series9.0ms (0.3%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

25 → 72

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) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(.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 -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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* 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 (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(hole binary64 1))
#s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 1))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 1))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (* (* (* N N) N) N) #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 -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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* 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 -1)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (- N -1) (* N 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* N N) N) N) (* (* N N) N) (- (- N -1) (* N N)))
2.0ms	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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* N N) N) N) (* (* N N) N) (- (- N -1) (* N N)))

2.0ms

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

rewrite155.0ms (5.2%)

Memory

13.1MiB live, 190.3MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1502
0	240	1104
1	974	995
0	9139	975

Stop Event

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

Counts

97 → 1 100

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

eval110.0ms (3.7%)

Memory: -2.7MiB live, 183.5MiB allocated; 42ms collecting garbage
Compiler: Compiled 8 435 to 2 886 computations (65.8% saved)

prune26.0ms (0.9%)

Memory

-0.2MiB live, 45.5MiB allocated; 6ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	791	18	809
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	795	19	814

Accuracy

99.7%

Counts

814 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (.f64 (neg.f64 N) (.f64 (.f64 N N) N))) (-.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))))
	18.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (fma.f64 (.f64 (.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))))
▶	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 N N) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64)))
	99.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 N N) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 N #s(literal -6 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) 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)))
✓	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)))
	93.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (exp.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) N #s(literal 1 binary64)))
	52.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (fma.f64 N N N) N)))))
	76.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))))
	52.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
	76.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 (.f64 N 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))
	97.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) (fma.f64 N N N)))
	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
	93.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) (*.f64 N N)))

Compiler

Compiled 604 to 550 computations (8.9% saved)

series7.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

25 → 90

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#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 N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- N -1) #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 -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ 1 (pow (- N -1) -1)) #s(hole binary64 1))
#s(approx (/ 1 (pow (- N -1) -1)) #s(hole binary64 (+ 1 N)))
#s(approx (pow (- N -1) -1) #s(hole binary64 1))
#s(approx (pow (- N -1) -1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 1))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) #s(hole binary64 1))
#s(approx (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) #s(hole binary64 (+ 1 N)))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 1))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (+ 1 (* 1/2 N))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (+ 1 (* N (+ 1/2 (* -1/8 N))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (+ 1 (* N (+ 1/2 (* N (- (* 1/16 N) 1/8)))))))
#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 (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 -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ 1 (pow (- N -1) -1)) #s(hole binary64 N))
#s(approx (/ 1 (pow (- N -1) -1)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (/ 1 N)))
#s(approx (pow (- N -1) -1) #s(hole binary64 (/ (- 1 (/ 1 N)) N)))
#s(approx (pow (- N -1) -1) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)))
#s(approx (pow (- N -1) -1) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) #s(hole binary64 N))
#s(approx (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (sqrt N)))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* N (+ (sqrt (/ 1 N)) (* 1/2 (sqrt (/ 1 (pow N 3))))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* N (+ (sqrt (/ 1 N)) (+ (* -1/8 (sqrt (/ 1 (pow N 5)))) (* 1/2 (sqrt (/ 1 (pow N 3)))))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* N (+ (sqrt (/ 1 N)) (+ (* -1/8 (sqrt (/ 1 (pow N 5)))) (+ (* 1/16 (sqrt (/ 1 (pow N 7)))) (* 1/2 (sqrt (/ 1 (pow N 3))))))))))
#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) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (* -1 (/ (- (/ 1 N) 1) N))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* -1 (* (sqrt N) (pow (sqrt -1) 2)))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* -1 (* N (+ (* 1/2 (sqrt (/ 1 (pow N 3)))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* -1 (* N (+ (* -1/8 (* (sqrt (/ 1 (pow N 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow N 3)))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* -1 (* N (+ (* -1/8 (* (sqrt (/ 1 (pow N 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow N 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow N 3)))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (- N -1) -1 (* N N) (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) (+ (* (/ 1 (pow (- N -1) -1)) N) 1) (/ 1 (pow (- N -1) -1)) (pow (- N -1) -1) (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) (pow (- N -1) 1/2) 1/2)
2.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (- N -1) -1 (* N N) (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) (+ (* (/ 1 (pow (- N -1) -1)) N) 1) (/ 1 (pow (- N -1) -1)) (pow (- N -1) -1) (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) (pow (- N -1) 1/2) 1/2)
1.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (+ (* (/ (- N -1) N) (* N N)) 1) (/ (- N -1) N) (- N -1) -1 (* N N) (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) (+ (* (/ 1 (pow (- N -1) -1)) N) 1) (/ 1 (pow (- N -1) -1)) (pow (- N -1) -1) (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) (pow (- N -1) 1/2) 1/2)

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite75.0ms (2.5%)

Memory

-18.5MiB live, 42.6MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	1778
0	284	1549
0	1179	1503

Stop Event

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

Counts

115 → 183

Calls

Call 1

Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
N
(atan2.f64 (-.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)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64))
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
#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)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#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 N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- N -1) #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 -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ 1 N)))
#s(approx (/ (- N -1) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ 1 (pow (- N -1) -1)) #s(hole binary64 1))
#s(approx (/ 1 (pow (- N -1) -1)) #s(hole binary64 (+ 1 N)))
#s(approx (pow (- N -1) -1) #s(hole binary64 1))
#s(approx (pow (- N -1) -1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 1))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) #s(hole binary64 1))
#s(approx (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) #s(hole binary64 (+ 1 N)))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 1))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (+ 1 (* 1/2 N))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (+ 1 (* N (+ 1/2 (* -1/8 N))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (+ 1 (* N (+ 1/2 (* N (- (* 1/16 N) 1/8)))))))
#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 (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 -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- N -1) N) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- N -1) N) #s(hole binary64 1))
#s(approx (/ (- N -1) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ 1 (pow (- N -1) -1)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ 1 (pow (- N -1) -1)) #s(hole binary64 N))
#s(approx (/ 1 (pow (- N -1) -1)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (/ 1 N)))
#s(approx (pow (- N -1) -1) #s(hole binary64 (/ (- 1 (/ 1 N)) N)))
#s(approx (pow (- N -1) -1) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)))
#s(approx (pow (- N -1) -1) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) #s(hole binary64 N))
#s(approx (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (sqrt N)))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* N (+ (sqrt (/ 1 N)) (* 1/2 (sqrt (/ 1 (pow N 3))))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* N (+ (sqrt (/ 1 N)) (+ (* -1/8 (sqrt (/ 1 (pow N 5)))) (* 1/2 (sqrt (/ 1 (pow N 3)))))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* N (+ (sqrt (/ 1 N)) (+ (* -1/8 (sqrt (/ 1 (pow N 5)))) (+ (* 1/16 (sqrt (/ 1 (pow N 7)))) (* 1/2 (sqrt (/ 1 (pow N 3))))))))))
#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) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -1)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (* -1 (/ (- (/ 1 N) 1) N))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))))
#s(approx (pow (- N -1) -1) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (* (pow (- N -1) 1/2) (pow (- N -1) 1/2)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* -1 (* (sqrt N) (pow (sqrt -1) 2)))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* -1 (* N (+ (* 1/2 (sqrt (/ 1 (pow N 3)))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* -1 (* N (+ (* -1/8 (* (sqrt (/ 1 (pow N 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow N 3)))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 2))))))))
#s(approx (pow (- N -1) 1/2) #s(hole binary64 (* -1 (* N (+ (* -1/8 (* (sqrt (/ 1 (pow N 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow N 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow N 3)))) (* (sqrt (/ 1 N)) (pow (sqrt -1) 2)))))))))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 N N) N)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (-.f64 (.f64 N N) (.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
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N
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#s(approx (pow (- N -1) 1/2) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 N #s(literal -5 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) N))
#s(approx (pow (- N -1) 1/2) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 N #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 N #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) N))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (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) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- N -1) N) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -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 (pow (- N -1) -1) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (pow (- N -1) -1) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (pow (- N -1) -1) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ 1 (pow (- N -1) -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 (pow (- N -1) 1/2) (neg.f64 (*.f64 (sqrt.f64 N) #s(literal -1 binary64))))
#s(approx (pow (- N -1) 1/2) (.f64 (neg.f64 N) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1 binary64)))))
#s(approx (pow (- N -1) 1/2) (.f64 (neg.f64 N) (fma.f64 (.f64 (sqrt.f64 (pow.f64 N #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1 binary64))))))
#s(approx (pow (- N -1) 1/2) (.f64 (neg.f64 N) (fma.f64 (.f64 (sqrt.f64 (pow.f64 N #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 N #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal -1 binary64)))))))

eval65.0ms (2.2%)

Memory: -16.8MiB live, 28.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 391 to 572 computations (58.9% saved)

prune16.0ms (0.5%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	129	10	139
Fresh	4	9	13
Picked	2	3	5
Done	0	1	1
Total	135	23	158

Accuracy

99.7%

Counts

158 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (.f64 (neg.f64 N) (.f64 (.f64 N N) N))) (-.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N))))
✓	4.1%	(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 N N) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 N N) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N)))) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64)))
	99.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 N N) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) (pow.f64 N #s(literal -6 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64)))) N #s(literal 1 binary64)))
	93.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (- N -1) -1) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	96.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 #s(approx (pow (- N -1) 1/2) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) N)) #s(approx (pow (- N -1) 1/2) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 N))) N))) N #s(literal 1 binary64)))
	93.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (pow (- N -1) 1/2) (sqrt.f64 N)) #s(approx (pow (- N -1) 1/2) (sqrt.f64 N))) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (-.f64 N #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 N #s(literal -1 binary64))) N) #s(literal 1 binary64)))
	93.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (exp.f64 (*.f64 (log.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))) N #s(literal 1 binary64)))
	52.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (.f64 (.f64 (.f64 N N) N) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 (fma.f64 N N N) N)))))
	76.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (neg.f64 (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 (.f64 N 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))
	76.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N N)) #s(literal 1 binary64)) (-.f64 (.f64 N N) #s(literal 1 binary64))) N))
	97.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
	97.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (+ (* N N) 1) N) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (.f64 N N))))
	93.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
	6.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64)))
	97.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) (fma.f64 N N N)))
	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))

Compiler

Compiled 701 to 526 computations (25% saved)

regimes22.0ms (0.7%)

Memory

-9.9MiB live, 33.5MiB allocated; 5ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	N
7.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.3%)

Memory

-32.6MiB live, 11.0MiB allocated; 5ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

5.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
3.0ms	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)

regimes5.0ms (0.2%)

Memory

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

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (/ 1 N) -1) (* N 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
93.7%	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

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Accuracy

Total -1.5b remaining (-2.4%)

Threshold costs -1.5b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

derivations305.0ms (10.2%)

Memory

-30.4MiB live, 203.5MiB allocated; 31ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 49 to 34 computations (30.6% saved)

preprocess54.0ms (1.8%)

Memory: 49.3MiB live, 137.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 71 to 52 computations (26.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample1.8s (59.8%)

preprocess155.0ms (5.2%)

series2.0ms (0.1%)

rewrite52.0ms (1.7%)

eval10.0ms (0.3%)

prune2.0ms (0.1%)

series3.0ms (0.1%)

rewrite77.0ms (2.6%)

eval18.0ms (0.6%)

prune6.0ms (0.2%)

series9.0ms (0.3%)

rewrite155.0ms (5.2%)

eval110.0ms (3.7%)

prune26.0ms (0.9%)

series7.0ms (0.2%)

rewrite75.0ms (2.5%)

eval65.0ms (2.2%)

prune16.0ms (0.5%)

regimes22.0ms (0.7%)

regimes6.0ms (0.2%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

derivations305.0ms (10.2%)

preprocess54.0ms (1.8%)

end0.0ms (0%)

Profiling