Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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)

sample1.5s (46.9%)

Memory

78.5MiB live, 1 215.8MiB allocated; 890ms collecting garbage

Samples

1.0s	7 292×	1	valid
123.0ms	792×	2	valid
8.0ms	172×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 968.0ms

adjust: 506.0ms (52.3% of total)

ival-atan: 350.0ms (36.1% of total)

ival-add!: 64.0ms (6.6% of total)

ival-sub!: 49.0ms (5.1% of total)

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

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

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

Bogosity

explain130.0ms (4%)

Memory

30.0MiB live, 121.3MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
253	-	1	(7.612505704347448)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
0	-	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	252	1

Confusion

	Predicted +	Predicted -
+	252	1
-	0	3

Precision

1.0

Recall

0.9960474308300395

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	252	1	0
-	0	0	3

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	4
1	252

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms	450×	1	valid
7.0ms	48×	2	valid
1.0ms	14×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-atan: 23.0ms (55.5% of total)

adjust: 13.0ms (31.3% of total)

ival-add!: 3.0ms (7.2% of total)

ival-sub!: 2.0ms (4.8% of total)

preprocess258.0ms (8%)

Memory

-50.9MiB live, 246.8MiB allocated; 63ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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))

rewrite54.0ms (1.7%)

Memory

23.0MiB live, 66.6MiB allocated; 11ms 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 (0.2%)

Memory: 13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 704 to 183 computations (74% saved)

prune2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms 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

20.3%

Counts

49 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.3%	(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)

series7.0ms (0.2%)

Memory

-41.6MiB live, 4.6MiB allocated; 5ms 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
4.0ms	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

4.0ms

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)

rewrite82.0ms (2.5%)

Memory

22.5MiB live, 76.4MiB allocated; 8ms 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))))

eval29.0ms (0.9%)

Memory: -21.0MiB live, 24.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 841 to 466 computations (83.6% saved)

prune11.0ms (0.3%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	8	150

Accuracy

99.7%

Counts

150 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.0%	(atan2.f64 (/.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)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	20.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (/.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)))) N #s(literal 1 binary64)))
▶	20.3%	(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)))
▶	20.3%	(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))))
	19.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.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))))
	20.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	5.4%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 330 to 192 computations (41.8% saved)

series22.0ms (0.7%)

Memory

-12.9MiB live, 31.1MiB allocated; 5ms collecting garbage

Counts

33 → 92

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	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) (+ (* (- (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)) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (pow (- N -1) 3) 3 (pow N 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (pow (- N -1) 2))
5.0ms	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) (+ (* (- (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)) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (pow (- N -1) 3) 3 (pow N 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (pow (- N -1) 2))
5.0ms	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) (+ (* (- (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)) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (pow (- N -1) 3) 3 (pow N 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (pow (- N -1) 2))

Time

Variable

Point

Expression

11.0ms

-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) (+ (* (- (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)) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (pow (- N -1) 3) 3 (pow N 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (pow (- N -1) 2))

5.0ms

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) (+ (* (- (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)) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (pow (- N -1) 3) 3 (pow N 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (pow (- N -1) 2))

5.0ms

((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) (+ (* (- (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)) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (pow (- N -1) 3) 3 (pow N 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (pow (- N -1) 2))

rewrite238.0ms (7.4%)

Memory

-4.3MiB live, 285.8MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	2047
0	348	1968
1	1478	1783
0	8348	1732

Stop Event

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

Counts

125 → 380

Calls

Call 1

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

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

eval106.0ms (3.3%)

Memory: 13.8MiB live, 147.3MiB allocated; 20ms collecting garbage
Compiler: Compiled 22 991 to 2 261 computations (90.2% saved)

prune23.0ms (0.7%)

Memory

8.7MiB live, 62.3MiB allocated; 7ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	661	13	674
Fresh	2	1	3
Picked	5	0	5
Done	0	0	0
Total	668	14	682

Accuracy

99.7%

Counts

682 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(atan2.f64 (/.f64 #s(approx (- (pow (- N -1) 3) (pow N 3)) (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64))) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	92.1%	(atan2.f64 (/.f64 #s(approx (- (pow (- N -1) 3) (pow N 3)) (.f64 (.f64 N 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)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	20.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
	19.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.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))))
	17.5%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (.f64 #s(literal -2 binary64) (pow.f64 N #s(literal 4 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 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	92.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
	76.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
▶	95.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
▶	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
	92.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
	75.3%	#s(approx (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (atan2.f64 #s(literal 1 binary64) (.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 N (*.f64 N N))) #s(literal 1/2 binary64))))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))

Compiler

Compiled 756 to 444 computations (41.3% saved)

series97.0ms (3%)

Memory

-25.3MiB live, 21.3MiB allocated; 3ms collecting garbage

Counts

33 → 96

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* (* N N) 1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (pow N 3) 3 -1 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (* (* N N) 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (- N -1) (pow (- N -1) 2) 2 (+ (* (- N -1) N) 1))
4.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* (* N N) 1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (pow N 3) 3 -1 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (* (* N N) 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (- N -1) (pow (- N -1) 2) 2 (+ (* (- N -1) N) 1))
3.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* (* N N) 1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (pow N 3) 3 -1 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (* (* N N) 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (- N -1) (pow (- N -1) 2) 2 (+ (* (- N -1) N) 1))

Time

Variable

Point

Expression

4.0ms

-inf

((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* (* N N) 1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (pow N 3) 3 -1 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (* (* N N) 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (- N -1) (pow (- N -1) 2) 2 (+ (* (- N -1) N) 1))

4.0ms

inf

((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* (* N N) 1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (pow N 3) 3 -1 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (* (* N N) 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (- N -1) (pow (- N -1) 2) 2 (+ (* (- N -1) N) 1))

3.0ms

((atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2 1 (+ (+ (* N N) N) 1)) 1 (+ (+ (* N N) N) 1) (+ (* N N) N) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (+ 1 N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* (* N N) 1) N) (* N N) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (- (pow N 3) -1) (pow N 3) 3 -1 (+ (* N N) (+ (* -1 N) 1)) (+ (* -1 N) 1) (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (- (pow (- N -1) 3) (pow N 3)) (* (* N N) 3) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (+ (- N -1) N) (- N -1) (pow (- N -1) 2) 2 (+ (* (- N -1) N) 1))

rewrite214.0ms (6.6%)

Memory

39.6MiB live, 221.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	275	1964
0	314	1699
1	1367	1625
0	8272	1599

Stop Event

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

Counts

129 → 541

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 (.f64 N N)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (neg.f64 (.f64 N N)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 N N)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 N N)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 N N)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (neg.f64 (.f64 N N)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 N N)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N N)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) N)))))
(/.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 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 #s(literal 1 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 (-.f64 (fma.f64 N N 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 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 N N)) #s(literal 2 binary64) (.f64 (-.f64 (.f64 N N) N) #s(literal 2 binary64))) (.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (.f64 N N) (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 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) (pow.f64 N #s(literal 3 binary64)))) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) (pow.f64 N #s(literal 3 binary64)))) #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) (-.f64 (.f64 N N) N) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 N N)))) (.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (.f64 N N)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 N N) (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 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) (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 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) (pow.f64 N #s(literal 3 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 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 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 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(fma.f64 (.f64 (fabs.f64 N) #s(literal 1 binary64)) (.f64 (fabs.f64 N) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (.f64 (fabs.f64 N) #s(literal -1 binary64)) (.f64 (fabs.f64 N) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (.f64 #s(literal 1 binary64) (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 N)) (.f64 #s(literal -1 binary64) (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) (*.f64 N N))
(fma.f64 (.f64 (neg.f64 N) #s(literal -1 binary64)) (.f64 (neg.f64 N) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 N)) (.f64 #s(literal -1 binary64) (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 N) #s(literal 1 binary64)) (.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (.f64 #s(literal 1 binary64) (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (.f64 #s(literal 1 binary64) N) (.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (.f64 N #s(literal 1 binary64)) (.f64 N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (+.f64 #s(literal 1 binary64) 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))
(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 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 N (*.f64 N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(-.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 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 N N)) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 (pow.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) (fma.f64 N N N))))))
(+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(*.f64 (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)) N)
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 N N))
(.f64 (.f64 N N) (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (.f64 N #s(literal 1 binary64)) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 N N))) (neg.f64 (-.f64 (.f64 N N) N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64)))) (neg.f64 (-.f64 N (.f64 N N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 N N)) (-.f64 (.f64 N N) N))
(/.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 (.f64 N #s(literal 1 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1 binary64) N) (*.f64 N N)))
(/.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N (.f64 N N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (*.f64 N N) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64))) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64)))))
(fma.f64 (.f64 (fabs.f64 N) #s(literal 1 binary64)) (.f64 (fabs.f64 N) #s(literal 1 binary64)) N)
(fma.f64 (.f64 (fabs.f64 N) #s(literal -1 binary64)) (.f64 (fabs.f64 N) #s(literal -1 binary64)) N)
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (.f64 #s(literal 1 binary64) (fabs.f64 N)) N)
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 N)) (.f64 #s(literal -1 binary64) (fabs.f64 N)) N)
(fma.f64 (.f64 (neg.f64 N) #s(literal -1 binary64)) (.f64 (neg.f64 N) #s(literal -1 binary64)) N)
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 N)) (.f64 #s(literal -1 binary64) (neg.f64 N)) N)
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) N)
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) N)
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) N)
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) N)
(fma.f64 (.f64 (neg.f64 N) #s(literal 1 binary64)) (.f64 (neg.f64 N) #s(literal 1 binary64)) N)
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 N)) (.f64 #s(literal 1 binary64) (neg.f64 N)) N)
(fma.f64 (.f64 #s(literal 1 binary64) N) (.f64 #s(literal 1 binary64) N) N)
(fma.f64 (.f64 N #s(literal 1 binary64)) (.f64 N #s(literal 1 binary64)) N)
(fma.f64 (fabs.f64 N) (fabs.f64 N) N)
(fma.f64 (neg.f64 N) (neg.f64 N) N)
(fma.f64 (*.f64 N N) #s(literal 1 binary64) N)
(fma.f64 #s(literal 1 binary64) (*.f64 N N) N)
(fma.f64 #s(literal 1 binary64) N (*.f64 N N))
(fma.f64 N (*.f64 N #s(literal 1 binary64)) N)
(fma.f64 N #s(literal 1 binary64) (*.f64 N N))
(fma.f64 N N N)
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) N)) (/.f64 (.f64 N N) (-.f64 (*.f64 N N) N)))
(-.f64 (/.f64 (.f64 N N) (-.f64 N (.f64 N N))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 N (*.f64 N N))))
(+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) (pow.f64 N #s(literal 3 binary64))))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (.f64 N N) (pow.f64 N #s(literal 3 binary64))))))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))) (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 N N (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 N #s(literal 3 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) N) (.f64 N N))
(+.f64 (.f64 N #s(literal 1 binary64)) (.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 N (*.f64 N N))
N
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) 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 (-.f64 (*.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 (neg.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.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) (*.f64 N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) N))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) 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)))
(exp.f64 (*.f64 (log1p.f64 N) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) N)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) (.f64 #s(literal 1 binary64) N)))))
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#s(approx (+ (+ (* N N) N) 1) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) N) 1) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (+ (* N N) N) 1) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(approx (+ (* N N) N) N)
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(approx (+ 1 N) #s(literal 1 binary64))
#s(approx (+ 1 N) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* N N) N) N)
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (+.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (+.f64 #s(literal 1 binary64) N))
#s(approx (- (pow N 3) -1) #s(literal 1 binary64))
#s(approx (- (pow N 3) -1) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (+ (* N N) (+ (* -1 N) 1)) #s(literal 1 binary64))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* -1 N) 1) #s(literal 1 binary64))
#s(approx (+ (* -1 N) 1) (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))
#s(approx (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (atan2.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) #s(literal 1 binary64))
#s(approx (- (pow (- N -1) 3) (pow N 3)) #s(literal 1 binary64))
#s(approx (- (pow (- N -1) 3) (pow N 3)) (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)))
#s(approx (- (pow (- N -1) 3) (pow N 3)) (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)))
#s(approx (* (* N N) 3) (.f64 (.f64 N N) #s(literal 3 binary64)))
#s(approx (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) #s(literal 1 binary64))
#s(approx (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (fma.f64 #s(literal 3 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (+.f64 #s(literal 1 binary64) N))
#s(approx (pow (- N -1) 2) #s(literal 1 binary64))
#s(approx (pow (- N -1) 2) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 2) (fma.f64 (+.f64 #s(literal 2 binary64) 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) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (+ (+ (* N N) N) 1) (*.f64 N N))
#s(approx (+ (+ (* N N) N) 1) (fma.f64 N N N))
#s(approx (+ (+ (* N N) N) 1) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (+ (* N N) N) (*.f64 N N))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (fma.f64 N N N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (+ 1 N) N)
#s(approx (+ 1 N) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* N N) N) (*.f64 N N))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (*.f64 N N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (fma.f64 N N N))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (.f64 (+.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (- (pow N 3) -1) (pow.f64 N #s(literal 3 binary64)))
#s(approx (- (pow N 3) -1) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (*.f64 N N))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)))
#s(approx (+ (* -1 N) 1) (neg.f64 N))
#s(approx (+ (* -1 N) 1) (*.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N))
#s(approx (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (atan2.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 N N) #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) N)) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))
#s(approx (- (pow (- N -1) 3) (pow N 3)) (.f64 (.f64 N N) #s(literal 3 binary64)))
#s(approx (- (pow (- N -1) 3) (pow N 3)) (.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) (.f64 N N)))
#s(approx (- (pow (- N -1) 3) (pow N 3)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (.f64 N N)))
#s(approx (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (.f64 (.f64 N N) #s(literal 3 binary64)))
#s(approx (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) (.f64 N N)))
#s(approx (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 3 binary64)) (.f64 N N)))
#s(approx (+ (- N -1) N) (*.f64 #s(literal 2 binary64) N))
#s(approx (+ (- N -1) N) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (pow (- N -1) 2) (*.f64 N N))
#s(approx (pow (- N -1) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (pow (- N -1) 2) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 1 (+ (+ (* N N) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* N N) (+ (* -1 N) 1)) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 N N)))
#s(approx (+ (* -1 N) 1) (*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (/ (- (pow (- N -1) 3) (pow N 3)) (+ (* N (+ (- N -1) N)) (pow (- N -1) 2))) (+ (* (- N -1) N) 1)) (atan2.f64 (/.f64 (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) N (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))

eval125.0ms (3.9%)

Memory: -29.9MiB live, 162.5MiB allocated; 25ms collecting garbage
Compiler: Compiled 17 872 to 2 211 computations (87.6% saved)

prune28.0ms (0.9%)

Memory

14.5MiB live, 61.1MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	509	10	519
Fresh	6	3	9
Picked	2	3	5
Done	0	0	0
Total	517	16	533

Accuracy

99.9%

Counts

533 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.3%	(atan2.f64 (/.f64 #s(approx (- (pow (- N -1) 3) (pow N 3)) (.f64 (.f64 N N) #s(literal 3 binary64))) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	92.5%	(atan2.f64 (/.f64 #s(approx (- (pow (- N -1) 3) (pow N 3)) (.f64 (.f64 N N) #s(literal 3 binary64))) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (pow (- N -1) 2) (*.f64 N N)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	92.0%	(atan2.f64 (/.f64 #s(approx (- (pow (- N -1) 3) (pow N 3)) (.f64 (.f64 N N) #s(literal 3 binary64))) #s(approx (+ (* N (+ (- N -1) N)) (pow (- N -1) 2)) (fma.f64 (fma.f64 #s(literal 3 binary64) N #s(literal 3 binary64)) N #s(literal 1 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	92.0%	(atan2.f64 (/.f64 #s(approx (- (pow (- N -1) 3) (pow N 3)) (.f64 N (.f64 #s(literal 3 binary64) N))) (fma.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
	20.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
	19.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.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))))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))) (-.f64 N #s(literal -1 binary64))) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	95.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (fma.f64 N N N)))
	92.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (+ (* -1 N) 1))) N) 1) (*.f64 N N)))
	95.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) #s(literal 1 binary64) N)))
✓	95.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
✓	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))
	76.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal 1 binary64))))

Compiler

Compiled 1 377 to 462 computations (66.4% saved)

regimes17.0ms (0.5%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (pow N -1) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N 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
99.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
99.6%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes22.0ms (0.7%)

Memory

-37.1MiB live, 9.8MiB allocated; 2ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms	N

Results

Accuracy	Segments	Branch
95.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
95.4%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
92.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) 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
8.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory

6.4MiB live, 6.3MiB 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 (+ (* (- N -1) N) 1) #s(approx (+ 1 N) N)))

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (+ 1 N) 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
8.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations194.0ms (6%)

Memory

-26.5MiB live, 216.5MiB allocated; 40ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 117 to 40 computations (65.8% saved)

preprocess36.0ms (1.1%)

Memory: 3.7MiB live, 49.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 264 to 102 computations (61.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.5s (46.9%)

explain130.0ms (4%)

preprocess258.0ms (8%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0.1%)

rewrite54.0ms (1.7%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series7.0ms (0.2%)

rewrite82.0ms (2.5%)

eval29.0ms (0.9%)

prune11.0ms (0.3%)

series22.0ms (0.7%)

rewrite238.0ms (7.4%)

eval106.0ms (3.3%)

prune23.0ms (0.7%)

series97.0ms (3%)

rewrite214.0ms (6.6%)

eval125.0ms (3.9%)

prune28.0ms (0.9%)

regimes17.0ms (0.5%)

regimes22.0ms (0.7%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

derivations194.0ms (6%)

preprocess36.0ms (1.1%)

end0.0ms (0%)

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