Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (29.3%)

Memory

70.6MiB live, 1 030.3MiB allocated; 253ms collecting garbage

Samples

828.0ms	7 252×	1	valid
138.0ms	830×	2	valid
8.0ms	174×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 719.0ms

ival-atan: 345.0ms (48% of total)

adjust: 284.0ms (39.5% of total)

ival-add!: 45.0ms (6.3% of total)

ival-sub!: 45.0ms (6.3% of total)

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

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

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

Bogosity

explain121.0ms (2.8%)

Memory

-41.0MiB live, 107.7MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	-	`N`
0	-	-	`(+.f64 N #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(atan.f64 N)`
0	-	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	254	0

Confusion

	Predicted +	Predicted -
+	254	0
-	0	2

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	0	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

49.0ms	440×	1	valid
10.0ms	64×	2	valid
0.0ms	8×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-atan: 21.0ms (49.9% of total)

adjust: 16.0ms (38% of total)

ival-add!: 3.0ms (7.1% of total)

ival-sub!: 2.0ms (4.7% of total)

preprocess209.0ms (4.9%)

Memory

49.1MiB live, 137.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	16	26
2	19	26
3	33	26
4	76	26
5	321	24
6	2820	24
7	6223	24
0	6	7
0	10	7
1	13	7
2	16	7
3	27	7
4	61	7
5	252	7
6	2195	7
7	5491	7
0	8635	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.2%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series2.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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))
1.0ms	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))

rewrite95.0ms (2.2%)

Memory

-13.8MiB live, 38.9MiB 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 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (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)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 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)))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64)) N) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N (+.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #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 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #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 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #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 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (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) (pow.f64 N #s(literal -1 binary64))))
(-.f64 N (*.f64 (neg.f64 (pow.f64 N #s(literal -1 binary64))) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (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 (pow.f64 N #s(literal 3 binary64)) (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))))

eval5.0ms (0.1%)

Memory: 8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 704 to 183 computations (74% saved)

prune7.0ms (0.2%)

Memory

-39.4MiB live, 5.2MiB allocated; 5ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	1	49

Accuracy

18.0%

Counts

49 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 12 to 7 computations (41.7% saved)

series2.0ms (0%)

Memory

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

Counts

7 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite103.0ms (2.4%)

Memory

25.8MiB live, 71.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	215
0	56	207
1	246	179
0	2417	176

Stop Event

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

Counts

22 → 113

Calls

Call 1

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

eval20.0ms (0.5%)

Memory: -12.9MiB live, 33.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 841 to 466 computations (83.6% saved)

prune9.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	144	6	150

Accuracy

99.5%

Counts

150 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
▶	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
▶	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	5.2%	(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 220 to 134 computations (39.1% saved)

series90.0ms (2.1%)

Memory

-55.3MiB live, 12.8MiB allocated; 98ms collecting garbage

Counts

27 → 67

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (pow N -1) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (pow N -1) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (pow N -1) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (- N (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (- N (pow N 2)))))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* 2 N)))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* N (+ 2 (* -2 (pow N 3))))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (pow N 2)))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (pow N 4) #s(hole binary64 (pow N 4)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* 2 N)))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* N (+ 2 (* -2 N)))))
#s(approx (- N (* N N)) #s(hole binary64 N))
#s(approx (- N (* N N)) #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 (- 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (pow N -1) -1) #s(hole binary64 1))
#s(approx (- (pow N -1) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* -2 (pow N 4))))
#s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) #s(hole binary64 (* (pow N 4) (- (* 2 (/ 1 (pow N 3))) 2))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* N N) (pow N 4)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* -2 (pow N 2))))
#s(approx (* (- N (* N N)) 2) #s(hole binary64 (* (pow N 2) (- (* 2 (/ 1 N)) 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) #s(hole binary64 (atan2 1 (* -1/2 (/ (+ (* -2 (+ (* -1 N) (pow N 2))) (* 2 (- (pow N 2) (pow N 4)))) (+ (* -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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))
3.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))

3.0ms

inf

((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- (pow N -1) -1) (pow N -1) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))

rewrite213.0ms (5%)

Memory

47.1MiB live, 235.2MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1384
0	231	1121
1	839	980
0	6988	960

Stop Event

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

Counts

94 → 1 127

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

eval240.0ms (5.6%)

Memory

6.0MiB live, 372.7MiB allocated; 65ms collecting garbage

Samples

55.0ms	703×	0	valid
4.0ms	65×	0	invalid

Compiler

Compiled 34 991 to 3 600 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult!: 29.0ms (85.5% of total)

ival-add!: 4.0ms (11.8% of total)

adjust: 0.0ms (0% of total)

prune78.0ms (1.8%)

Memory

5.9MiB live, 145.6MiB allocated; 9ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1 158	16	1 174
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	1 163	17	1 180

Accuracy

99.8%

Counts

1 180 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.5%	(atan2.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (fma.f64 N N (neg.f64 N))))) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (fma.f64 N N N) (.f64 N N)) (.f64 N N) #s(literal 1 binary64)))
	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (vcubic.f64 (neg.f64 N) #s(literal 1 binary64) (.f64 N (fma.f64 (neg.f64 N) N #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) N) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))))
▶	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (fma.f64 N N (neg.f64 N)) (.f64 N (-.f64 #s(literal -1 binary64) 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))))
	99.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #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)))
	99.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 N #s(literal -6 binary64)) (pow.f64 N #s(literal -3 binary64))) (.f64 N N)) (+.f64 (-.f64 (pow.f64 N #s(literal -4 binary64)) (pow.f64 N #s(literal -3 binary64))) (pow.f64 N #s(literal -2 binary64)))) N #s(literal 1 binary64)))
▶	75.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 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)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) N) N) N #s(literal 1 binary64)))
	75.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
	75.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) (.f64 N N)))
	96.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N)))
▶	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
	94.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N)))

Samples

28.0ms

512×

valid

Compiler

Compiled 798 to 492 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult!: 11.0ms (80.1% of total)

ival-add!: 3.0ms (21.9% of total)

adjust: 0.0ms (0% of total)

series31.0ms (0.7%)

Memory

-32.0MiB live, 22.8MiB allocated; 37ms collecting garbage

Counts

37 → 117

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

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -1 (atan2 (- (- N -1) N) (* (- (/ (/ (- N -1) N) N) -1) (* N N))) (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (- (/ (/ (- N -1) N) N) -1) (/ (/ (- N -1) N) N) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) (neg N)) (* N (- -1 N))) (+ (* N N) (neg N)) (neg N) (* N (- -1 N)) (- -1 N) 2 (* (- N (* N N)) 2) (- N (* N N)) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)
5.0ms	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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -1 (atan2 (- (- N -1) N) (* (- (/ (/ (- N -1) N) N) -1) (* N N))) (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (- (/ (/ (- N -1) N) N) -1) (/ (/ (- N -1) N) N) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) (neg N)) (* N (- -1 N))) (+ (* N N) (neg N)) (neg N) (* N (- -1 N)) (- -1 N) 2 (* (- N (* N N)) 2) (- N (* N N)) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)
4.0ms	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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -1 (atan2 (- (- N -1) N) (* (- (/ (/ (- N -1) N) N) -1) (* N N))) (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (- (/ (/ (- N -1) N) N) -1) (/ (/ (- N -1) N) N) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) (neg N)) (* N (- -1 N))) (+ (* N N) (neg N)) (neg N) (* N (- -1 N)) (- -1 N) 2 (* (- N (* N N)) 2) (- N (* N N)) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)

Time

Variable

Point

Expression

20.0ms

-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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -1 (atan2 (- (- N -1) N) (* (- (/ (/ (- N -1) N) N) -1) (* N N))) (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (- (/ (/ (- N -1) N) N) -1) (/ (/ (- N -1) N) N) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) (neg N)) (* N (- -1 N))) (+ (* N N) (neg N)) (neg N) (* N (- -1 N)) (- -1 N) 2 (* (- N (* N N)) 2) (- N (* N N)) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)

5.0ms

((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -1 (atan2 (- (- N -1) N) (* (- (/ (/ (- N -1) N) N) -1) (* N N))) (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (- (/ (/ (- N -1) N) N) -1) (/ (/ (- N -1) N) N) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) (neg N)) (* N (- -1 N))) (+ (* N N) (neg N)) (neg N) (* N (- -1 N)) (- -1 N) 2 (* (- N (* N N)) 2) (- N (* N N)) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)

4.0ms

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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (+ (* (- (pow N -1) -1) (* N N)) 1) (- N -1) -1 (atan2 (- (- N -1) N) (* (- (/ (/ (- N -1) N) N) -1) (* N N))) (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (- (/ (/ (- N -1) N) N) -1) (/ (/ (- N -1) N) N) (/ (- N -1) N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (- (- N -1) N) (/ (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (* (+ (* N N) (neg N)) (* N (- -1 N))) (+ (* N N) (neg N)) (neg N) (* N (- -1 N)) (- -1 N) 2 (* (- N (* N N)) 2) (- N (* N N)) (atan2 (- (- N -1) N) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1)) (+ (* (- (* N N) (pow N 4)) (/ 2 (* (+ (* -2 N) 2) N))) 1) (- (* N N) (pow N 4)) (pow N 4) 4 (/ 2 (* (+ (* -2 N) 2) N)) (* (+ (* -2 N) 2) N) (+ (* -2 N) 2) -2)

rewrite189.0ms (4.4%)

Memory

7.9MiB live, 287.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	2469
0	361	2053
1	1251	1810
0	9548	1796

Stop Event

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

Counts

154 → 1 420

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) N) N)
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N))) (/.f64 (+.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (.f64 N N))) #s(literal 2 binary64)))
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (neg.f64 N) (.f64 (neg.f64 N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 N N))
(.f64 (.f64 N N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (.f64 N N))) (-.f64 N (.f64 N N))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 N N N)))
(.f64 N (.f64 N (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)) (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)))) (-.f64 (.f64 N N) (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)) (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N))) (.f64 (.f64 N N) (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (fma.f64 N N N) N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 N N N) N))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 N) (fma.f64 #s(literal -1 binary64) N (fma.f64 N N #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (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 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 N N N))))
(/.f64 (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) (pow.f64 (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) #s(literal 2 binary64) (.f64 (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (fma.f64 (.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N) (.f64 #s(literal 2 binary64) (.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (-.f64 N (*.f64 N N))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 N) (fma.f64 #s(literal -1 binary64) N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (fma.f64 N N N)))
(/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (.f64 N N)))) (.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64)))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (fma.f64 N N (neg.f64 N))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
(neg.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (-.f64 N (*.f64 N N))) #s(literal -2 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (.f64 N N)))) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (fabs.f64 N)) (fabs.f64 N) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (fabs.f64 N)) (fabs.f64 N) (.f64 N N))
(fma.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (neg.f64 N)) (neg.f64 N) (.f64 N N))
(fma.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) N) N (.f64 N N))
(fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N) N)
(fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N) N)
(fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) N) N N)
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))) #s(literal 2 binary64) #s(literal 1 binary64))
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(/.f64 (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))) (.f64 (fma.f64 N N N) (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))))) (*.f64 (fma.f64 N N N) (fma.f64 N N (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
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(/.f64 (.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 N N N))
(neg.f64 (*.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) (fabs.f64 N)) (fabs.f64 N) (.f64 #s(literal 2 binary64) N))
(fma.f64 (fabs.f64 N) (.f64 (fabs.f64 N) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) N))
(fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 N (*.f64 N N)))
(fma.f64 (.f64 #s(literal -2 binary64) N) #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) N) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 (.f64 #s(literal -2 binary64) N) #s(literal -1 binary64) (.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 (.f64 #s(literal -2 binary64) N) N (.f64 #s(literal 2 binary64) N))
(fma.f64 (neg.f64 N) (.f64 #s(literal 2 binary64) N) (.f64 #s(literal 2 binary64) N))
(fma.f64 (neg.f64 N) #s(literal -2 binary64) (.f64 (.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 (neg.f64 N) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) N)))
(fma.f64 (neg.f64 N) #s(literal -2 binary64) (.f64 (.f64 #s(literal -2 binary64) N) N))
(fma.f64 (.f64 #s(literal 2 binary64) N) (neg.f64 N) (.f64 #s(literal 2 binary64) N))
(fma.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 (.f64 #s(literal 2 binary64) N) #s(literal 1 binary64) (.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 (-.f64 N (.f64 N N)) #s(literal 1 binary64) (.f64 (-.f64 N (*.f64 N N)) #s(literal 1 binary64)))
(fma.f64 (.f64 N N) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) N))
(fma.f64 #s(literal -2 binary64) (neg.f64 N) (.f64 (.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (neg.f64 N) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) N)))
(fma.f64 #s(literal -2 binary64) (neg.f64 N) (.f64 (.f64 #s(literal -2 binary64) N) N))
(fma.f64 #s(literal -2 binary64) (.f64 N N) (.f64 #s(literal 2 binary64) N))
(fma.f64 #s(literal 2 binary64) N (.f64 (.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) N (.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) N)))
(fma.f64 #s(literal 2 binary64) N (.f64 (.f64 #s(literal -2 binary64) N) N))
(fma.f64 #s(literal 1 binary64) (-.f64 N (.f64 N N)) (.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) N) (.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) N) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) N) (.f64 (*.f64 #s(literal -2 binary64) N) N))
(fma.f64 N (-.f64 #s(literal 1 binary64) N) (-.f64 N (*.f64 N N)))
(fma.f64 N (.f64 #s(literal -2 binary64) N) (.f64 #s(literal 2 binary64) N))
(fma.f64 N #s(literal 2 binary64) (.f64 (.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(fma.f64 N #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) N)))
(fma.f64 N #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) N) N))
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N N) (*.f64 N N))
(-.f64 (.f64 #s(literal 2 binary64) N) (.f64 (*.f64 #s(literal 2 binary64) N) N))
(-.f64 (.f64 #s(literal 2 binary64) N) (.f64 (*.f64 (neg.f64 N) N) #s(literal -2 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) N) (.f64 (neg.f64 N) (*.f64 #s(literal -2 binary64) N)))
(-.f64 (.f64 #s(literal 2 binary64) N) (.f64 #s(literal 2 binary64) (*.f64 N N)))
(-.f64 N (-.f64 (.f64 N N) (-.f64 N (.f64 N N))))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) N N) (*.f64 (neg.f64 N) N))
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(+.f64 (.f64 (.f64 #s(literal -2 binary64) N) N) (*.f64 #s(literal 2 binary64) N))
(+.f64 (.f64 #s(literal 2 binary64) N) (.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) N) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 N) N)))
(+.f64 (.f64 #s(literal 2 binary64) N) (.f64 (*.f64 #s(literal -2 binary64) N) N))
(+.f64 (-.f64 N (.f64 N N)) (-.f64 N (.f64 N N)))
(+.f64 N (fma.f64 (neg.f64 N) N (-.f64 N (*.f64 N N))))
(+.f64 N (+.f64 N (.f64 (.f64 #s(literal -2 binary64) N) N)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) N))
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(fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64))
(fma.f64 N #s(literal -2 binary64) #s(literal 2 binary64))
(-.f64 (-.f64 #s(literal 2 binary64) N) N)
(-.f64 (/.f64 #s(literal 4 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 N N) #s(literal 4 binary64)) (.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
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(-.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) N) N (.f64 #s(literal 4 binary64) N)))) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 4 binary64) N) N (*.f64 #s(literal 4 binary64) N)))))
(-.f64 (*.f64 #s(literal -2 binary64) N) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) N))
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(+.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (.f64 N N) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 N #s(literal -4 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 N N) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 N #s(literal -4 binary64))))))
(+.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 2 binary64))
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(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) N)))
#s(literal -2 binary64)
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
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#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(literal 1 binary64))
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#s(approx (+ (* N N) 1) #s(literal 1 binary64))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx N N)
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#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(literal 1 binary64))
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#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (* (- (/ (/ (- N -1) N) N) -1) (* N 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) N) -1) (* N N)) #s(literal 1 binary64))
#s(approx (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (-.f64 N #s(literal -1 binary64)))
#s(approx (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (/ (/ (- N -1) N) N) -1) (pow.f64 N #s(literal -2 binary64)))
#s(approx (- (/ (/ (- N -1) N) N) -1) (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N))
#s(approx (- (/ (/ (- N -1) N) N) -1) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (/ (- N -1) N) N) (pow.f64 N #s(literal -2 binary64)))
#s(approx (/ (/ (- N -1) N) N) (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N))
#s(approx (/ (- N -1) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (- N -1) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (-.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 N N)) (-.f64 N (.f64 N N)))) (-.f64 N (*.f64 N N))) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (*.f64 #s(literal 2 binary64) N))
#s(approx (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (*.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -2 binary64) #s(literal 2 binary64)) N))
#s(approx (* (+ (* N N) (neg N)) (* N (- -1 N))) (*.f64 N N))
#s(approx (* (+ (* N N) (neg N)) (* N (- -1 N))) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* N N) (neg N)) (neg.f64 N))
#s(approx (+ (* N N) (neg N)) (fma.f64 N N (neg.f64 N)))
#s(approx (neg N) (neg.f64 N))
#s(approx (* N (- -1 N)) (neg.f64 N))
#s(approx (* N (- -1 N)) (*.f64 (-.f64 #s(literal -1 binary64) N) N))
#s(approx (- -1 N) #s(literal -1 binary64))
#s(approx (- -1 N) (-.f64 #s(literal -1 binary64) N))
#s(approx (* (- N (* N N)) 2) (*.f64 #s(literal 2 binary64) N))
#s(approx (* (- N (* N N)) 2) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
#s(approx (- N (* N N)) N)
#s(approx (- N (* N N)) (-.f64 N (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (* (+ (* N N) (neg N)) (* N (- -1 N))) (*.f64 N N))
#s(approx (* (+ (* N N) (neg N)) (* N (- -1 N))) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow N 4) (pow.f64 N #s(literal 4 binary64)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) N))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) N #s(literal 1 binary64)) N))
#s(approx (* (- N (* N N)) 2) (*.f64 #s(literal 2 binary64) N))
#s(approx (* (- N (* N N)) 2) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N))
#s(approx (+ (* -2 N) 2) #s(literal 2 binary64))
#s(approx (+ (* -2 N) 2) (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N))
#s(approx (+ (* (- (pow N -1) -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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N))
#s(approx (+ (* (- (pow N -1) -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 (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (*.f64 N N))
#s(approx (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (fma.f64 N N N))
#s(approx (* (- (/ (/ (- N -1) N) N) -1) (* N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (/ (/ (- N -1) N) N) -1) #s(literal 1 binary64))
#s(approx (- (/ (/ (- N -1) N) N) -1) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (- (/ (/ (- N -1) N) N) -1) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (/ (- N -1) N) N) (pow.f64 N #s(literal -1 binary64)))
#s(approx (/ (/ (- N -1) N) N) (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N))
#s(approx (/ (- N -1) N) #s(literal 1 binary64))
#s(approx (/ (- N -1) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* (* (+ (* N N) (neg N)) (* N (- -1 N))) 2) (* (- N (* N N)) 2)) (*.f64 (fma.f64 (pow.f64 N #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (* (+ (* N N) (neg N)) (* N (- -1 N))) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
#s(approx (* (+ (* N N) (neg N)) (* N (- -1 N))) (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (+ (* N N) (neg N)) (*.f64 N N))
#s(approx (+ (* N N) (neg N)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) N))
#s(approx (* N (- -1 N)) (*.f64 (neg.f64 N) N))
#s(approx (* N (- -1 N)) (*.f64 (-.f64 #s(literal -1 binary64) N) N))
#s(approx (- -1 N) (neg.f64 N))
#s(approx (- -1 N) (-.f64 #s(literal -1 binary64) N))
#s(approx (* (- N (* N N)) 2) (.f64 (.f64 #s(literal -2 binary64) N) N))
#s(approx (* (- N (* N N)) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N) N))
#s(approx (- N (* N N)) (*.f64 (neg.f64 N) N))
#s(approx (- N (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N))
#s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (* (+ (* N N) (neg N)) (* N (- -1 N))) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
#s(approx (* (+ (* N N) (neg N)) (* N (- -1 N))) (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (neg.f64 (pow.f64 N #s(literal -2 binary64))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 N #s(literal -2 binary64)))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) N) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (-.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal -3 binary64)) (pow.f64 N #s(literal -2 binary64)))) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 N N)))
#s(approx (* (- N (* N N)) 2) (.f64 (.f64 #s(literal -2 binary64) N) N))
#s(approx (* (- N (* N N)) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N) N))
#s(approx (+ (* -2 N) 2) (*.f64 #s(literal -2 binary64) N))
#s(approx (+ (* -2 N) 2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 2 binary64)) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N 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) (+ (* (- (pow N -1) -1) (* N 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) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) N) N (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))))) (fma.f64 N N (neg.f64 N))) #s(literal -1/2 binary64))))
#s(approx (/ 2 (* (+ (* -2 N) 2) N)) (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) N) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (+ (* -2 N) 2) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) N)) (neg.f64 N)))

eval841.0ms (19.6%)

Memory

-67.2MiB live, 607.8MiB allocated; 933ms collecting garbage

Samples

137.0ms	959×	0	valid
6.0ms	65×	0	invalid

Compiler

Compiled 41 324 to 4 781 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult!: 71.0ms (90.1% of total)

ival-add!: 8.0ms (10.2% of total)

adjust: 0.0ms (0% of total)

prune65.0ms (1.5%)

Memory

-1.2MiB live, 142.3MiB allocated; 9ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 237	10	1 247
Fresh	5	6	11
Picked	3	2	5
Done	0	1	1
Total	1 245	19	1 264

Accuracy

99.8%

Counts

1 264 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.5%	(atan2.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (fma.f64 N N (neg.f64 N))))) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.f64 (fma.f64 N N N) (.f64 N N)) (.f64 N N) #s(literal 1 binary64)))
	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (fma.f64 N N (neg.f64 N)) (.f64 (.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) (.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
	16.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (fma.f64 N N (neg.f64 N)) (.f64 N (-.f64 #s(literal -1 binary64) N))) #s(literal 2 binary64) #s(approx (* (- N (* N N)) 2) (.f64 (.f64 #s(literal -2 binary64) N) N))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))))
	99.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	75.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 N N) (.f64 (.f64 (.f64 N N) (fabs.f64 N)) (fabs.f64 N))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
	75.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N N))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 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)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) N) N) N #s(literal 1 binary64)))
✓	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	75.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	96.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) #s(literal -1 binary64)) (*.f64 N N)))
	96.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 #s(approx (/ (- N -1) N) #s(literal 1 binary64)) N) #s(literal -1 binary64)) (.f64 N N)))
	96.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (fma.f64 N N N)))
✓	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (-.f64 N #s(literal -1 binary64))))
	94.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) (*.f64 N N)))
	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -1) (* N N)) 1) #s(approx (- N -1) N)))

Samples

15.0ms

256×

valid

Compiler

Compiled 1 243 to 458 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 5.0ms (71.8% of total)

ival-add!: 2.0ms (28.7% of total)

adjust: 0.0ms (0% of total)

regimes20.0ms (0.5%)

Memory

-11.9MiB live, 33.8MiB allocated; 4ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

12.0ms	N
6.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.7%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes16.0ms (0.4%)

Memory

-17.0MiB live, 29.4MiB allocated; 1ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

8.0ms	N
6.0ms	(-.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 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

7 → 1

Calls

Call 1

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

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:

2.0ms	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 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

6 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -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
94.2%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
94.2%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- (pow N -1) -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 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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 8 to 7 computations (12.5% saved)

simplify38.0ms (0.9%)

Memory

-1.8MiB live, 47.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	146
1	52	146
2	92	146
3	190	132
4	318	125
5	632	125
6	4259	125

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations443.0ms (10.3%)

Memory

-16.7MiB live, 299.6MiB allocated; 53ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 146 to 38 computations (74% saved)

preprocess175.0ms (4.1%)

Memory: 16.2MiB live, 74.8MiB allocated; 16ms collecting garbage
Compiler: Compiled 306 to 88 computations (71.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.3s (29.3%)

explain121.0ms (2.8%)

preprocess209.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0%)

rewrite95.0ms (2.2%)

eval5.0ms (0.1%)

prune7.0ms (0.2%)

series2.0ms (0%)

rewrite103.0ms (2.4%)

eval20.0ms (0.5%)

prune9.0ms (0.2%)

series90.0ms (2.1%)

rewrite213.0ms (5%)

eval240.0ms (5.6%)

prune78.0ms (1.8%)

series31.0ms (0.7%)

rewrite189.0ms (4.4%)

eval841.0ms (19.6%)

prune65.0ms (1.5%)

regimes20.0ms (0.5%)

regimes16.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

simplify38.0ms (0.9%)

derivations443.0ms (10.3%)

preprocess175.0ms (4.1%)

end0.0ms (0%)

Profiling