Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.5s (46.9%)

Memory

14.1MiB live, 1 228.6MiB allocated; 222ms collecting garbage

Samples

1.0s	7 317×	1	valid
139.0ms	732×	2	valid
10.0ms	207×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 908.0ms

adjust: 375.0ms (41.3% of total)

ival-atan: 322.0ms (35.5% of total)

ival-add: 127.0ms (14% of total)

ival-sub: 76.0ms (8.4% of total)

exact: 8.0ms (0.9% of total)

ival-assert: 2.0ms (0.2% of total)

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

const: 0.0ms (0% of total)

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

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

Bogosity

explain137.0ms (4.4%)

Memory

35.2MiB live, 128.3MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	255	0

Confusion

	Predicted +	Predicted -
+	255	0
-	0	1

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms	450×	1	valid
9.0ms	50×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-atan: 20.0ms (39.4% of total)

adjust: 20.0ms (39.4% of total)

ival-add: 5.0ms (9.8% of total)

ival-sub: 5.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess223.0ms (7.1%)

Memory

-20.5MiB live, 177.3MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(-.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

3.0MiB live, 3.0MiB 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))

rewrite68.0ms (2.2%)

Memory

-14.7MiB live, 39.3MiB allocated; 6ms 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: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 704 to 183 computations (74% saved)

prune2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB 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

19.5%

Counts

49 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.5%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 12 to 7 computations (41.7% saved)

series2.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Counts

7 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite80.0ms (2.5%)

Memory

6.6MiB live, 51.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

22 → 113

Calls

Call 1

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

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

eval20.0ms (0.6%)

Memory: -16.6MiB live, 27.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 841 to 466 computations (83.6% saved)

prune7.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	4	150

Accuracy

99.6%

Counts

150 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.5%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
▶	19.5%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	5.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 64 to 43 computations (32.8% saved)

series7.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

22 → 57

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (pow (- N -1) 2) 2 (pow N 4) 4 (- (- N -1) (* N N)) (* N N))
2.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (pow (- N -1) 2) 2 (pow N 4) 4 (- (- N -1) (* N N)) (* N N))
1.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N)))) (/ (- (pow (- N -1) 2) (pow N 4)) (- (- N -1) (* N N))) (- (pow (- N -1) 2) (pow N 4)) (pow (- N -1) 2) 2 (pow N 4) 4 (- (- N -1) (* N N)) (* N N))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite150.0ms (4.8%)

Memory

-4.8MiB live, 181.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1087
0	195	887
1	867	807
0	8552	788

Stop Event

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

Counts

79 → 761

Calls

Call 1

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64)))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) N) N)
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 N N))
(.f64 (neg.f64 N) (.f64 (neg.f64 N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 N N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 N (.f64 N (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))) (.f64 N N)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 N N)) (fma.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (pow.f64 N #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 N N) (+.f64 (pow.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))) (+.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
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(.f64 (.f64 (*.f64 N N) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 (fabs.f64 N) (neg.f64 N)) (*.f64 (fabs.f64 N) (neg.f64 N)))
(.f64 (.f64 (fabs.f64 N) N) (*.f64 (fabs.f64 N) N))
(.f64 (.f64 (neg.f64 N) (fabs.f64 N)) (*.f64 (neg.f64 N) (fabs.f64 N)))
(.f64 (.f64 N (fabs.f64 N)) (*.f64 N (fabs.f64 N)))
(.f64 (fabs.f64 (.f64 (neg.f64 N) N)) (fabs.f64 (*.f64 (neg.f64 N) N)))
(*.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (neg.f64 N))
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) (*.f64 N N)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) N)
(*.f64 (neg.f64 (pow.f64 N #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (neg.f64 N) (pow.f64 (neg.f64 N) #s(literal 3 binary64)))
(.f64 (.f64 (neg.f64 N) N) (*.f64 (neg.f64 N) N))
(*.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 N N) (*.f64 N N))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(*.f64 N (pow.f64 N #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 N) N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 2 binary64))
(pow.f64 N #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 N #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal 2 binary64) (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 4 binary64)))
#s(literal 4 binary64)
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.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 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64)))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (.f64 N N)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.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 (.f64 N N) (.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)))) (+.f64 N (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64)) (*.f64 N (fma.f64 N N #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (neg.f64 (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 (neg.f64 N) N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))) (.f64 #s(literal 2 binary64) (fma.f64 N N (neg.f64 (pow.f64 N #s(literal 4 binary64)))))) (.f64 #s(literal 2 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))
(/.f64 (-.f64 (.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) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 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 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 N #s(literal 8 binary64))) (*.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (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 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 N #s(literal 12 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 8 binary64))) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 4 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 6 binary64))) (fma.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64)))) (neg.f64 (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 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (*.f64 (neg.f64 N) N))
(fma.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (fma.f64 (neg.f64 N) N #s(literal 1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(fma.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (fabs.f64 N)) (fabs.f64 N) (.f64 (neg.f64 N) N))
(fma.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (neg.f64 N)) (neg.f64 N) (.f64 (neg.f64 N) N))
(fma.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) N) N (.f64 (neg.f64 N) N))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (fabs.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 N) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (fabs.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 N) (.f64 (fabs.f64 N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 N) N))
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (fabs.f64 N) (neg.f64 (fabs.f64 N)) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N) (.f64 (neg.f64 N) N))
(fma.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) N (*.f64 (neg.f64 N) N))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (.f64 (neg.f64 N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 N) N))
(fma.f64 (neg.f64 N) 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 (.f64 N N) (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 (neg.f64 N) N))
(fma.f64 (*.f64 N N) #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N) (*.f64 (neg.f64 N) N))
(fma.f64 #s(literal -1 binary64) (fma.f64 N N (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 N (.f64 N (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64)))) (.f64 (neg.f64 N) N))
(fma.f64 N (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(fma.f64 N (-.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 N (neg.f64 N) (-.f64 N #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 2 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (/.f64 (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 (pow.f64 N #s(literal 4 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (neg.f64 N))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N)) N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(-.f64 N (fma.f64 N N #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) N))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(+.f64 N (fma.f64 (neg.f64 N) N #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (fabs.f64 N) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 N) #s(literal -1 binary64)) (*.f64 (fabs.f64 N) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 1 binary64) (fabs.f64 N)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 #s(literal -1 binary64) (fabs.f64 N)))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)))
(.f64 (fabs.f64 N) (.f64 (fabs.f64 N) #s(literal 1 binary64)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))
(.f64 (.f64 N N) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 N N))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 N) N))
(*.f64 N N)
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(/.f64 (.f64 (.f64 N N) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) #s(literal 1 binary64))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) #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 (- (pow (- N -1) 2) (pow N 4)) #s(literal 1 binary64))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (fma.f64 (-.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) #s(literal -2 binary64)) N #s(literal 1 binary64)))
#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 N #s(literal -2 binary64)) N #s(literal 1 binary64)))
#s(approx (pow N 4) (pow.f64 N #s(literal 4 binary64)))
#s(approx (- (- N -1) (* N N)) #s(literal 1 binary64))
#s(approx (- (- N -1) (* N N)) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (- N -1) (* N N)) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- 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 (-.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 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) (*.f64 N N))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (+ (* (- 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 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (neg.f64 (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 N #s(literal -3 binary64)) (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (- (pow (- N -1) 2) (pow N 4)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 N #s(literal -3 binary64)) (-.f64 (pow.f64 N #s(literal -4 binary64)) #s(literal 1 binary64))) (pow.f64 N #s(literal -2 binary64))) (pow.f64 N #s(literal 4 binary64))))
#s(approx (pow (- N -1) 2) (*.f64 N N))
#s(approx (pow (- N -1) 2) (*.f64 (-.f64 N #s(literal -2 binary64)) N))
#s(approx (pow (- N -1) 2) (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) (* N N)) (*.f64 (neg.f64 N) N))
#s(approx (- (- N -1) (* N N)) (.f64 (.f64 (-.f64 (pow.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N) N))
#s(approx (- (- N -1) (* N N)) (+.f64 N (.f64 (-.f64 (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 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval103.0ms (3.3%)

Memory: 5.3MiB live, 149.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 20 719 to 2 400 computations (88.4% saved)

prune26.0ms (0.8%)

Memory

3.0MiB live, 49.9MiB allocated; 2ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	768	14	782
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	771	15	786

Accuracy

99.8%

Counts

786 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
▶	75.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (pow.f64 N #s(literal 3 binary64))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
▶	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 N N) N))
✓	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)))
	99.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
▶	76.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 N N (neg.f64 (pow.f64 N #s(literal 4 binary64)))) #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
	51.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
	41.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 N #s(literal 8 binary64))) (*.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	51.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
	95.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
▶	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
	92.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))

Compiler

Compiled 698 to 430 computations (38.4% saved)

series14.0ms (0.4%)

Memory

-28.7MiB live, 17.9MiB allocated; 3ms collecting garbage

Counts

34 → 94

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- (pow N -2) -1) (* N N)) N)) (+ (* (- (pow N -2) -1) (* N N)) N) (- (pow N -2) -1) (pow N -2) -2 (* N N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (/ (* (+ (* N N) N) (* N N)) (pow N 3)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (pow N 3) 3 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2))) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2)) (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (+ (* N N) (neg (pow N 4))) (neg (pow N 4)) (pow N 4) 4 2 (* (* (- 1 N) N) 2) (* (- 1 N) N) (- 1 N))
3.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- (pow N -2) -1) (* N N)) N)) (+ (* (- (pow N -2) -1) (* N N)) N) (- (pow N -2) -1) (pow N -2) -2 (* N N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (/ (* (+ (* N N) N) (* N N)) (pow N 3)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (pow N 3) 3 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2))) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2)) (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (+ (* N N) (neg (pow N 4))) (neg (pow N 4)) (pow N 4) 4 2 (* (* (- 1 N) N) 2) (* (- 1 N) N) (- 1 N))
3.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- (pow N -2) -1) (* N N)) N)) (+ (* (- (pow N -2) -1) (* N N)) N) (- (pow N -2) -1) (pow N -2) -2 (* N N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (/ (* (+ (* N N) N) (* N N)) (pow N 3)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (pow N 3) 3 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2))) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2)) (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (+ (* N N) (neg (pow N 4))) (neg (pow N 4)) (pow N 4) 4 2 (* (* (- 1 N) N) 2) (* (- 1 N) N) (- 1 N))

Time

Variable

Point

Expression

6.0ms

-inf

((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- (pow N -2) -1) (* N N)) N)) (+ (* (- (pow N -2) -1) (* N N)) N) (- (pow N -2) -1) (pow N -2) -2 (* N N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (/ (* (+ (* N N) N) (* N N)) (pow N 3)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (pow N 3) 3 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2))) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2)) (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (+ (* N N) (neg (pow N 4))) (neg (pow N 4)) (pow N 4) 4 2 (* (* (- 1 N) N) 2) (* (- 1 N) N) (- 1 N))

3.0ms

inf

((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- (pow N -2) -1) (* N N)) N)) (+ (* (- (pow N -2) -1) (* N N)) N) (- (pow N -2) -1) (pow N -2) -2 (* N N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (/ (* (+ (* N N) N) (* N N)) (pow N 3)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (pow N 3) 3 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2))) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2)) (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (+ (* N N) (neg (pow N 4))) (neg (pow N 4)) (pow N 4) 4 2 (* (* (- 1 N) N) 2) (* (- 1 N) N) (- 1 N))

3.0ms

((atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (- (- N -1) N) 1 (+ (+ (* N N) 1) N) (+ (* N N) 1) N (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- (pow N -2) -1) (* N N)) N)) (+ (* (- (pow N -2) -1) (* N N)) N) (- (pow N -2) -1) (pow N -2) -2 (* N N) (atan2 (- (- N -1) N) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1)) (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (/ (* (+ (* N N) N) (* N N)) (pow N 3)) (* (+ (* N N) N) (* N N)) (+ (* N N) N) (pow N 3) 3 (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2))) (/ (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (* (* (- 1 N) N) 2)) (+ (* (+ (* N N) (neg (pow N 4))) 2) (* (* (- 1 N) N) 2)) (+ (* N N) (neg (pow N 4))) (neg (pow N 4)) (pow N 4) 4 2 (* (* (- 1 N) N) 2) (* (- 1 N) N) (- 1 N))

rewrite207.0ms (6.6%)

Memory

12.8MiB live, 119.3MiB allocated; 113ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1888
0	276	1430
1	942	1284
0	8042	1269

Stop Event

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

Counts

128 → 1 576

Calls

Call 1

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

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

eval199.0ms (6.3%)

Memory: 18.9MiB live, 157.6MiB allocated; 21ms collecting garbage
Compiler: Compiled 35 331 to 4 480 computations (87.3% saved)

prune41.0ms (1.3%)

Memory

-28.8MiB live, 64.5MiB allocated; 6ms collecting garbage

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	1 157	13	1 170
Fresh	5	4	9
Picked	4	1	5
Done	0	1	1
Total	1 166	19	1 185

Accuracy

99.8%

Counts

1 185 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N (neg.f64 (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	76.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (pow.f64 (*.f64 N N) #s(literal 3/2 binary64))) N #s(literal 1 binary64)))
	76.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (.f64 (.f64 N N) N)) N #s(literal 1 binary64)))
	76.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 N 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 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (.f64 N N) N))
✓	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)))
	99.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)))
	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
	76.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
	51.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))) N))
	76.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	95.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
	95.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (fma.f64 N N N)))
	92.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (*.f64 N N)))
✓	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N)))

Compiler

Compiled 1 201 to 444 computations (63% saved)

regimes17.0ms (0.5%)

Memory

16.6MiB live, 16.5MiB 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 (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(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 (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N) 1) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (.f64 N N) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (.f64 (.f64 N N) N)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 N N) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 N N)) #s(literal 1 binary64) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (pow.f64 N #s(literal 3 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N (neg.f64 (pow.f64 N #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (pow.f64 (*.f64 N N) #s(literal 3/2 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (fma.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (-.f64 N #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 (fma.f64 (fma.f64 N N (neg.f64 (pow.f64 N #s(literal 4 binary64)))) #s(literal 2 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 2 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (-.f64 #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 N #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 N #s(literal 8 binary64))) (*.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))

Outputs

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

Calls

2 calls:

8.0ms	N
6.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes14.0ms (0.5%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.2%)

Memory

-37.0MiB live, 9.5MiB allocated; 3ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	N
2.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory

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

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
95.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB 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 (/ (* (+ (* N N) N) (* N N)) (pow N 3)) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
(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 (+ (* (/ (* (+ (* N N) N) (* N N)) (pow N 3)) 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
92.6%	1	`N`
92.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) #s(approx (/ (* (+ (* N N) N) (* N N)) (pow N 3)) 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	`N`
8.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify43.0ms (1.4%)

Memory

-23.6MiB live, 26.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	137
1	60	135
2	159	129
3	1097	113
4	7145	113

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations238.0ms (7.6%)

Memory

-2.3MiB live, 186.0MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 137 to 39 computations (71.5% saved)

preprocess40.0ms (1.3%)

Memory: 14.1MiB live, 60.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 304 to 100 computations (67.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.5s (46.9%)

explain137.0ms (4.4%)

preprocess223.0ms (7.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0.1%)

rewrite68.0ms (2.2%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series2.0ms (0.1%)

rewrite80.0ms (2.5%)

eval20.0ms (0.6%)

prune7.0ms (0.2%)

series7.0ms (0.2%)

rewrite150.0ms (4.8%)

eval103.0ms (3.3%)

prune26.0ms (0.8%)

series14.0ms (0.4%)

rewrite207.0ms (6.6%)

eval199.0ms (6.3%)

prune41.0ms (1.3%)

regimes17.0ms (0.5%)

regimes14.0ms (0.5%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

simplify43.0ms (1.4%)

derivations238.0ms (7.6%)

preprocess40.0ms (1.3%)

end0.0ms (0%)

Profiling