Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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)

sample2.1s (44.4%)

Memory

-30.4MiB live, 2 032.1MiB allocated; 938ms collecting garbage

Samples

1.5s	7 350×	1	valid
185.0ms	681×	2	valid
19.0ms	225×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-atan: 560.0ms (41.7% of total)

adjust: 442.0ms (32.9% of total)

ival-sub: 193.0ms (14.4% of total)

ival-add: 139.0ms (10.3% of total)

exact: 8.0ms (0.6% of total)

ival-assert: 2.0ms (0.1% 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

explain210.0ms (4.5%)

Memory

-18.6MiB live, 208.2MiB allocated; 103ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
254	-	1	(5.546532263012931)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	-	0	-	`N`
0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(atan.f64 N)`
0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`	cancellation	253	1

Confusion

	Predicted +	Predicted -
+	253	1
-	0	2

Precision

1.0

Recall

0.9960629921259843

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	1	0
-	0	0	2

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

118.0ms	444×	1	valid
37.0ms	52×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

adjust: 35.0ms (37.2% of total)

ival-sub: 32.0ms (34% of total)

ival-atan: 21.0ms (22.3% of total)

ival-add: 5.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess227.0ms (4.9%)

Memory

-2.2MiB live, 241.7MiB allocated; 27ms 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

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.9%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Counts

6 → 10

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite98.0ms (2.1%)

Memory

14.9MiB live, 69.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

16 → 49

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 704 to 183 computations (74% saved)

prune2.0ms (0%)

Memory

3.7MiB live, 3.7MiB 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

23.3%

Counts

49 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))

Compiler

Compiled 12 to 7 computations (41.7% saved)

series2.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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)

rewrite77.0ms (1.7%)

Memory

-11.1MiB live, 37.1MiB allocated; 4ms 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))))

eval38.0ms (0.8%)

Memory: -19.3MiB live, 26.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 841 to 466 computations (83.6% saved)

prune10.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

99.6%

Counts

150 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
	21.9%	(atan2.f64 (-.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 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))))))
▶	23.3%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶	20.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
▶	5.5%	(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 244 to 150 computations (38.5% saved)

series8.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (* N N) (pow N 4) 4 2 (* (- N (* N N)) 2) (- 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 -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (* N N) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))
2.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2))) (/ (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (* (- N (* N N)) 2)) (+ (* (- (* N N) (pow N 4)) 2) (* (- N (* N N)) 2)) (- (* N N) (pow N 4)) (* N N) (pow N 4) 4 2 (* (- N (* N N)) 2) (- N (* N N)))

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

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

rewrite207.0ms (4.5%)

Memory

1.8MiB live, 182.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	1187
0	202	950
1	783	860
0	6384	845

Stop Event

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

Counts

83 → 984

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

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

eval313.0ms (6.7%)

Memory: 26.7MiB live, 316.8MiB allocated; 113ms collecting garbage
Compiler: Compiled 34 991 to 3 506 computations (90% saved)

prune32.0ms (0.7%)

Memory

37.6MiB live, 83.8MiB allocated; 3ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	1 125	13	1 138
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	1 131	13	1 144

Accuracy

99.8%

Counts

1 144 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal -1 binary64))) N) #s(literal 2 binary64))))
	23.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))))
▶	21.9%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.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)))))
▶	99.5%	(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)))
	75.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) N) N N))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) N) N) N #s(literal 1 binary64)))
	92.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
	75.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
▶	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N 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))
▶	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
	92.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))

Compiler

Compiled 576 to 358 computations (37.8% saved)

series574.0ms (12.3%)

Memory

-328.8MiB live, 51.3MiB allocated; 963ms collecting garbage

Counts

31 → 97

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 1))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* 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 -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 1))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (+ 1 N)))
#s(approx (- (pow N 3) -1) #s(hole binary64 1))
#s(approx (- (pow N 3) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (pow N 3) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- 1 N) #s(hole binary64 1))
#s(approx (- 1 N) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (atan2 (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) #s(hole binary64 (atan2 1 (+ N (+ (/ 1 (+ 1 (* (pow N 2) (- (pow N 2) 1)))) (/ (pow N 6) (+ 1 (* (pow N 2) (- (pow N 2) 1)))))))))
#s(approx (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) #s(hole binary64 1))
#s(approx (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) #s(hole binary64 1))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (- (pow N 6) -1) #s(hole binary64 1))
#s(approx (- (pow N 6) -1) #s(hole binary64 (+ 1 (pow N 6))))
#s(approx (pow N 6) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) #s(hole binary64 (+ 1 (* (pow N 2) (- (pow N 2) 1)))))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) -1) #s(hole binary64 -1))
#s(approx (+ (* N N) -1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (pow N 2)))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* N N) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ 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 -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 N))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (pow N 3) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (pow N 3) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (- 1 N)) #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 (pow N 2))) (/ 1 N)))))
#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 (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) #s(hole binary64 (atan2 1 (+ N (+ (/ 1 (- (+ 1 (pow N 4)) (pow N 2))) (/ (pow N 6) (- (+ 1 (pow N 4)) (pow N 2))))))))
#s(approx (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) #s(hole binary64 (pow N 2)))
#s(approx (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (pow N 6) -1) #s(hole binary64 (pow N 6)))
#s(approx (- (pow N 6) -1) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 6))))))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 (pow N 2))))))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 1 (pow N 4))) (/ 1 (pow N 2))))))
#s(approx (+ (* N N) -1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) -1) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (- 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- 1 N) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) #s(hole binary64 (atan2 1 (- (+ (/ 1 (- (+ 1 (pow N 4)) (pow N 2))) (/ (pow N 6) (- (+ 1 (pow N 4)) (pow N 2)))) (* -1 N)))))

Calls

3 calls:

Time	Variable		Point	Expression
565.0ms	N	@	inf	((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (- (pow N 6) -1) (pow N 6) 6 (+ (* (* N N) (+ (* N N) -1)) 1) (* N N) (+ (* N N) -1))
5.0ms	N	@	-inf	((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (- (pow N 6) -1) (pow N 6) 6 (+ (* (* N N) (+ (* N N) -1)) 1) (* N N) (+ (* N N) -1))
3.0ms	N	@	0	((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (- (pow N 6) -1) (pow N 6) 6 (+ (* (* N N) (+ (* N N) -1)) 1) (* N N) (+ (* N N) -1))

Time

Variable

Point

Expression

565.0ms

inf

((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (- (pow N 6) -1) (pow N 6) 6 (+ (* (* N N) (+ (* N N) -1)) 1) (* N N) (+ (* N N) -1))

5.0ms

-inf

((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (- (pow N 6) -1) (pow N 6) 6 (+ (* (* N N) (+ (* N N) -1)) 1) (* N N) (+ (* N N) -1))

3.0ms

((atan2 (- (- N -1) N) (- (+ (* N N) N) -1)) (- (- N -1) N) 1 (- (+ (* N N) N) -1) (+ (* N N) N) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (- N -1) (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (+ (+ (* N N) 1) N) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1)) (+ (* (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N) 1) (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (- (pow N 3) -1) (pow N 3) 3 (+ (* N N) (- 1 N)) (- 1 N) (atan2 (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)))) (- (- N -1) N) (+ N (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1))) (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (- (pow N 6) -1) (pow N 6) 6 (+ (* (* N N) (+ (* N N) -1)) 1) (* N N) (+ (* N N) -1))

rewrite290.0ms (6.2%)

Memory

-41.6MiB live, 172.2MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	246	1870
0	286	1329
1	1153	1285
0	9524	1285

Stop Event

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

Counts

128 → 1 389

Calls

Call 1

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(.f64 (.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) N) N)
(.f64 (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 N N))
(.f64 (.f64 N N) (-.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.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) (fma.f64 N N (neg.f64 N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64))) N) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64))) N))) (-.f64 (pow.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64))) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)) (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)))) (-.f64 (.f64 N N) (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 N #s(literal 8 binary64)) (pow.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (.f64 (+.f64 N (pow.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 N (pow.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 N #s(literal 12 binary64)) (pow.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (+.f64 N (pow.f64 (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 N #s(literal 6 binary64)) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 N (-.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) 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 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 N N) (-.f64 N #s(literal -1 binary64))))))
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(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) (.f64 N (fma.f64 N N #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64))) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64))) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (.f64 N N) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 binary64))) #s(literal 1 binary64))
(+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 (neg.f64 N) N #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 N) N (pow.f64 N #s(literal 4 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 (.f64 #s(literal -1 binary64) (neg.f64 N)) (*.f64 #s(literal -1 binary64) (neg.f64 N)))
(.f64 (.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 (neg.f64 N) #s(literal 1 binary64)))
(*.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) (fabs.f64 N))
(.f64 (.f64 (neg.f64 N) N) #s(literal -1 binary64))
(*.f64 (neg.f64 N) (neg.f64 N))
(.f64 (.f64 N N) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.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))
(neg.f64 (*.f64 (neg.f64 N) N))
(fabs.f64 (*.f64 N N))
(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)))
(+.f64 (cosh.f64 (.f64 (log.f64 N) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 N) #s(literal 2 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 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
(*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 6 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (fma.f64 (neg.f64 N) N #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 N N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (.f64 (fabs.f64 N) #s(literal 1 binary64)) (.f64 (fabs.f64 N) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (fabs.f64 N) #s(literal -1 binary64)) (.f64 (fabs.f64 N) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 N)) (.f64 #s(literal 1 binary64) (fabs.f64 N)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 N)) (.f64 #s(literal -1 binary64) (fabs.f64 N)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 N)) (.f64 #s(literal -1 binary64) (neg.f64 N)) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 N) #s(literal 1 binary64)) (.f64 (neg.f64 N) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 N) (fabs.f64 N) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) #s(literal -1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) #s(literal -1 binary64))
(fma.f64 N N #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 N) #s(literal 2 binary64) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 N) #s(literal 2 binary64))))
(expm1.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))))
(-.f64 (*.f64 N N) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N))
(+.f64 (/.f64 (pow.f64 N #s(literal 6 binary64)) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 N #s(literal 4 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) N) N)
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx N N)
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) #s(literal 1 binary64))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) #s(literal 1 binary64))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (pow N 3) -1) #s(literal 1 binary64))
#s(approx (- (pow N 3) -1) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (pow N 3) (pow.f64 N #s(literal 3 binary64)))
#s(approx (+ (* N N) (- 1 N)) #s(literal 1 binary64))
#s(approx (+ (* N N) (- 1 N)) (-.f64 #s(literal 1 binary64) N))
#s(approx (+ (* N N) (- 1 N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
#s(approx (- 1 N) #s(literal 1 binary64))
#s(approx (- 1 N) (-.f64 #s(literal 1 binary64) N))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))
#s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) #s(literal 1 binary64))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (- (pow N 6) -1) #s(literal 1 binary64))
#s(approx (- (pow N 6) -1) (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)))
#s(approx (pow N 6) (pow.f64 N #s(literal 6 binary64)))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) #s(literal 1 binary64))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) (fma.f64 (neg.f64 N) N #s(literal 1 binary64)))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
#s(approx (* N N) (*.f64 N N))
#s(approx (+ (* N N) -1) #s(literal -1 binary64))
#s(approx (+ (* N N) -1) (fma.f64 N N #s(literal -1 binary64)))
#s(approx (+ (+ (* N N) 1) N) (*.f64 N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) N) (*.f64 N N))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (+ (+ (* N N) 1) N) (*.f64 N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (+ (* N N) 1) N) (*.f64 N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (*.f64 N N))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (+ (* N N) 1) N) (*.f64 N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)
#s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (pow N 3) -1) (pow.f64 N #s(literal 3 binary64)))
#s(approx (- (pow N 3) -1) (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* N N) (- 1 N)) (*.f64 N N))
#s(approx (+ (* N N) (- 1 N)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N) N))
#s(approx (+ (* N N) (- 1 N)) (.f64 (-.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 N #s(literal -1 binary64))) (.f64 N N)))
#s(approx (- 1 N) (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) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (+ (* N N) 1) N) (*.f64 N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N))
#s(approx (+ (+ (* N N) 1) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (*.f64 N N))
#s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (- (pow N 6) -1) (pow.f64 N #s(literal 6 binary64)))
#s(approx (- (pow N 6) -1) (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) (pow.f64 N #s(literal 4 binary64)))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) (*.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64)))))
#s(approx (+ (* (* N N) (+ (* N N) -1)) 1) (*.f64 (-.f64 (-.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 (+ (* N N) -1) (*.f64 N N))
#s(approx (+ (* N N) -1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -2 binary64))) N) N))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* N N) (- 1 N)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) N)) N) N))
#s(approx (- 1 N) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -1 binary64))) (neg.f64 N)))
#s(approx (atan2 (- (- N -1) N) (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval125.0ms (2.7%)

Memory: 28.0MiB live, 213.4MiB allocated; 29ms collecting garbage
Compiler: Compiled 25 898 to 3 577 computations (86.2% saved)

prune33.0ms (0.7%)

Memory

-34.0MiB live, 66.4MiB allocated; 12ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	862	8	870
Fresh	4	4	8
Picked	2	3	5
Done	0	0	0
Total	868	15	883

Accuracy

99.8%

Counts

883 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))))
	99.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
	92.0%	(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)) #s(approx (+ (* N N) (- 1 N)) (*.f64 N N))) N #s(literal 1 binary64)))
	75.7%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) N) N N))
	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) N) N) N #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (fma.f64 N 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))
	52.5%	(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 (fma.f64 N N #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))) N))
	75.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	96.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 1)) (*.f64 N N)) N))
	96.3%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
	92.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
	8.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) #s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)))

Compiler

Compiled 971 to 374 computations (61.5% saved)

regimes15.0ms (0.3%)

Memory

15.4MiB live, 15.4MiB 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 (+ (* N N) 1)) #s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 #s(approx (/ (- (pow N 6) -1) (+ (* (* N N) (+ (* N N) -1)) 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)) (-.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (neg.f64 N) N #s(literal 1 binary64)) N) N) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))))
(-.f64 (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 (-.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -1 binary64)) N) N N))
(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)) #s(approx (+ (* N N) (- 1 N)) (*.f64 N N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))) N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.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)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 (pow.f64 N #s(literal -2 binary64)) (pow.f64 N #s(literal -1 binary64))) N) N) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (-.f64 (.f64 N N) (pow.f64 N #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (-.f64 N (.f64 N N)) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N #s(literal 4 binary64))) (-.f64 N #s(literal -1 binary64))) N) #s(literal 2 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 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))))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

9 → 1

Calls

Call 1

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

3.0ms	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)

regimes7.0ms (0.1%)

Memory

-36.6MiB live, 9.7MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
96.3%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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 (+ (* N N) 1)) #s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ N (+ (* N N) 1)) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.1%	1	`N`
92.1%	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

5.4MiB live, 5.4MiB 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 (+ (* N N) 1)) #s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)))

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

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

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB 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 (+ (* N N) 1)) #s(approx (/ (- (pow N 3) -1) (+ (* N N) (- 1 N))) N)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
8.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.0%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify29.0ms (0.6%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	117
1	57	117
2	112	117
3	257	105
4	521	99
5	1221	99

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations232.0ms (5%)

Memory

-24.6MiB live, 153.7MiB allocated; 33ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 117 to 34 computations (70.9% saved)

preprocess34.0ms (0.7%)

Memory: 22.7MiB live, 69.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 264 to 90 computations (65.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.1s (44.4%)

explain210.0ms (4.5%)

preprocess227.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0%)

rewrite98.0ms (2.1%)

eval5.0ms (0.1%)

prune2.0ms (0%)

series2.0ms (0%)

rewrite77.0ms (1.7%)

eval38.0ms (0.8%)

prune10.0ms (0.2%)

series8.0ms (0.2%)

rewrite207.0ms (4.5%)

eval313.0ms (6.7%)

prune32.0ms (0.7%)

series574.0ms (12.3%)

rewrite290.0ms (6.2%)

eval125.0ms (2.7%)

prune33.0ms (0.7%)

regimes15.0ms (0.3%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify29.0ms (0.6%)

derivations232.0ms (5%)

preprocess34.0ms (0.7%)

end0.0ms (0%)

Profiling