Metrics for 2atan (example 3.5)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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)

sample2.4s (55.6%)

Memory

-81.6MiB live, 1 460.4MiB allocated; 1.3s collecting garbage

Samples

1.4s	7 359×	1	valid
634.0ms	692×	2	valid
14.0ms	205×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

adjust: 815.0ms (47.1% of total)

ival-atan: 355.0ms (20.5% of total)

ival-add: 269.0ms (15.5% of total)

const: 133.0ms (7.7% of total)

ival-sub: 75.0ms (4.3% of total)

ival-<: 36.0ms (2.1% of total)

ival->: 23.0ms (1.3% of total)

ival-and: 12.0ms (0.7% of total)

exact: 8.0ms (0.5% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain121.0ms (2.8%)

Memory

-6.9MiB live, 145.4MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
255	-	1	(5.060943522322822)	`(-.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	254	1

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	254	1	0
-	0	0	1

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	2
1	254

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	438×	1	valid
11.0ms	60×	2	valid
1.0ms	14×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-atan: 22.0ms (41.6% of total)

adjust: 21.0ms (39.7% of total)

ival-add: 5.0ms (9.5% of total)

ival-sub: 5.0ms (9.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess210.0ms (4.9%)

Memory

3.1MiB live, 140.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	11	19
2	14	19
3	25	19
4	61	19
5	267	17
6	2316	17
7	5696	17
0	6	7
0	10	7
1	13	7
2	16	7
3	27	7
4	61	7
5	252	7
6	2195	7
7	5491	7
0	8635	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.1%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

6 → 9

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

Calls

3 calls:

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

simplify89.0ms (2.1%)

Memory

3.8MiB live, 94.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	29	32
2	49	32
3	159	32
4	1103	32
5	7063	32
0	8027	32

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(- (atan (+ 1 N)) (atan N))
(atan (+ 1 N))
1
(+ 1 N)
N
(atan N)
(* N (+ 1 (/ 1 N)))
(- (atan (- 1 (* -1 N))) (atan N))
(atan (- 1 (* -1 N)))

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

rewrite65.0ms (1.5%)

Memory

-8.8MiB live, 49.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	43	18
0	299	18

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 23

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

eval3.0ms (0.1%)

Memory: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 432 to 98 computations (77.3% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	1	30

Accuracy

18.1%

Counts

30 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.1%	(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

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Counts

7 → 11

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

simplify116.0ms (2.7%)

Memory

-26.3MiB live, 110.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	71	57
2	213	57
3	960	57
4	6722	57
0	8462	51

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite27.0ms (0.6%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	29
1	53	24
0	432	24

Stop Event

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

Counts

7 → 42

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

eval7.0ms (0.2%)

Memory: 9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 177 to 185 computations (84.3% saved)

prune3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Accuracy

99.6%

Counts

61 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))) N #s(literal 1 binary64)))
▶	17.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
▶	18.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #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 97 to 51 computations (47.4% saved)

series12.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

30 → 83

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

Outputs
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
N
(atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (* N (+ 1 N)) 1)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(pow N 2)
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(* N (+ 1 N))
(- N 1)
(- (* N (+ 1 N)) 1)
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))
(+ 1 (pow N 3))
(+ 1 (* (pow N 3) (+ 1 (* 3 N))))
(+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))
(pow N 3)
(* (pow N 3) (+ 1 (* 3 N)))
(* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))
(* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))
(+ 1 (* -1 N))
(+ 1 (* N (- (* 2 (pow N 2)) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))
(+ 1 (pow N 2))
(+ 1 (* (pow N 2) (+ 1 (* 2 N))))
(+ 1 (* (pow N 2) (+ 1 (* N (+ 2 N)))))
(atan2 1 (+ 1 (* N (+ (/ 1 (+ 1 (+ (* -1 N) (pow N 2)))) (/ (pow N 3) (+ 1 (+ (* -1 N) (pow N 2))))))))
(* (pow N 3) (+ 1 N))
(* (pow N 3) (+ 1 (* N (+ 1 (* -1 (pow N 2))))))
(* (pow N 3) (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))))
(+ 1 (* N (- N 1)))
(- (* -1 N) 1)
(- (* N (- (pow N 2) 1)) 1)
(- (* N (- (* (pow N 2) (+ 1 N)) 1)) 1)
(atan2 1 (+ 1 (+ N (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* N (+ 1 (/ 1 N)))
(atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (+ N (pow N 2)) 1)))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))
(pow N 6)
(* (pow N 6) (+ 1 (* 3 (/ 1 N))))
(* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))
(* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))
(* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(* N (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))))
(* N (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))))
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* -1 N)
(* N (- (/ 1 N) 1))
(/ -1 (pow N 2))
(* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))
(/ (- (/ 1 (pow N 3)) (+ 1 (/ 1 N))) (pow N 2))
(/ (- (+ (/ 1 (pow N 3)) (/ 1 (pow N 4))) (+ 1 (/ 1 N))) (pow N 2))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (/ (- (* (pow N 2) (pow (- 1 (* -1 N)) 2)) 1) (- (* N (- 1 (* -1 N))) 1)))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))
(* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 2) N))))
(atan2 1 (+ 1 (* N (- (/ 1 (+ 1 (+ (* -1 N) (pow N 2)))) (* -1 (/ (pow N 3) (+ 1 (+ (* -1 N) (pow N 2)))))))))
(* -1 (* N (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1)))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* -1 (* N (- 1 (/ 1 N))))
(/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) (pow N 2))
(/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) (pow N 2))

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

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

4.0ms

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

3.0ms

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

simplify158.0ms (3.7%)

Memory

-5.5MiB live, 133.9MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	1021
1	808	990
2	3040	955
0	8194	891

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

Inputs
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
N
(atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (* N (+ 1 N)) 1)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(pow N 2)
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(* N (+ 1 N))
(- N 1)
(- (* N (+ 1 N)) 1)
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))
(+ 1 (pow N 3))
(+ 1 (* (pow N 3) (+ 1 (* 3 N))))
(+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))
(pow N 3)
(* (pow N 3) (+ 1 (* 3 N)))
(* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))
(* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))
(+ 1 (* -1 N))
(+ 1 (* N (- (* 2 (pow N 2)) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))
(+ 1 (pow N 2))
(+ 1 (* (pow N 2) (+ 1 (* 2 N))))
(+ 1 (* (pow N 2) (+ 1 (* N (+ 2 N)))))
(atan2 1 (+ 1 (* N (+ (/ 1 (+ 1 (+ (* -1 N) (pow N 2)))) (/ (pow N 3) (+ 1 (+ (* -1 N) (pow N 2))))))))
(* (pow N 3) (+ 1 N))
(* (pow N 3) (+ 1 (* N (+ 1 (* -1 (pow N 2))))))
(* (pow N 3) (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))))
(+ 1 (* N (- N 1)))
(- (* -1 N) 1)
(- (* N (- (pow N 2) 1)) 1)
(- (* N (- (* (pow N 2) (+ 1 N)) 1)) 1)
(atan2 1 (+ 1 (+ N (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* N (+ 1 (/ 1 N)))
(atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (+ N (pow N 2)) 1)))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))
(pow N 6)
(* (pow N 6) (+ 1 (* 3 (/ 1 N))))
(* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))
(* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))
(* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(* N (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))))
(* N (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))))
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* -1 N)
(* N (- (/ 1 N) 1))
(/ -1 (pow N 2))
(* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))
(/ (- (/ 1 (pow N 3)) (+ 1 (/ 1 N))) (pow N 2))
(/ (- (+ (/ 1 (pow N 3)) (/ 1 (pow N 4))) (+ 1 (/ 1 N))) (pow N 2))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (/ (- (* (pow N 2) (pow (- 1 (* -1 N)) 2)) 1) (- (* N (- 1 (* -1 N))) 1)))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))
(* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 2) N))))
(atan2 1 (+ 1 (* N (- (/ 1 (+ 1 (+ (* -1 N) (pow N 2)))) (* -1 (/ (pow N 3) (+ 1 (+ (* -1 N) (pow N 2)))))))))
(* -1 (* N (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1)))
(* -1 (* N (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1)))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* -1 (* N (- 1 (/ 1 N))))
(/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 1) (pow N 2))
(/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))) N)) 1) (pow N 2))

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

rewrite102.0ms (2.4%)

Memory

12.3MiB live, 111.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	310
0	59	228
1	253	183
0	2087	180

Stop Event

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

Counts

30 → 612

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))))) (+.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) 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 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 9 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
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(fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 N N) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64))))
(-.f64 (neg.f64 N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) N))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) (neg.f64 N)))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) (neg.f64 N)))))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 N))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) (neg.f64 N)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 N #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)) (.f64 N N)) (pow.f64 N #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))))
(pow.f64 (neg.f64 (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))))

eval140.0ms (3.3%)

Memory: 20.7MiB live, 239.6MiB allocated; 32ms collecting garbage
Compiler: Compiled 37 834 to 3 536 computations (90.7% saved)

prune32.0ms (0.7%)

Memory

-18.4MiB live, 65.9MiB allocated; 11ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	936	10	946
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	939	11	950

Accuracy

99.8%

Counts

950 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (.f64 N (/.f64 (.f64 N N) (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))))) N #s(literal 1 binary64)))
▶	17.0%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 N N) (.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
▶	18.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (* (- N -1) N) 2) 1) (fma.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
	78.9%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) N #s(literal -1 binary64)) N (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal -1 binary64))))))
▶	99.4%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) N #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)))
	51.0%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (-.f64 N #s(literal -1 binary64)) N)) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 2 binary64)))))
	96.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N)))
▶	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
	50.8%	#s(approx (atan2 (- (- N -1) N) (/ (- (pow (* (- N -1) N) 3) -1) (- (+ (pow (* (- N -1) N) 2) 1) (* (- N -1) N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 (fma.f64 N N N) N (neg.f64 N)) #s(literal 1 binary64)))))
▶	79.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (pow N 3) (+ (* N N) (+ (* -1 N) 1))) (/ -1 (+ (* N N) (+ (* -1 N) 1)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 748 to 388 computations (48.1% saved)

series12.0ms (0.3%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

44 → 79

Calls

Call 1

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

Outputs
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (pow N 3))
(pow N 3)
N
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
-1
(- N 1)
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (* N (+ 1 N)) 1)))
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(+ 1 (* 2 N))
(+ 1 (* N (+ 2 N)))
2
(+ 2 N)
(pow N 2)
(- (* N (+ 1 N)) 1)
(atan2 1 (+ 1 (* N (+ (/ 1 (+ 1 (+ (* -1 N) (pow N 2)))) (/ (pow N 3) (+ 1 (+ (* -1 N) (pow N 2))))))))
(atan2 1 (+ 1 (+ (/ N (+ 1 (* N (- N 1)))) (/ (pow N 4) (+ 1 (* N (- N 1)))))))
(* N (+ 1 N))
(* N (+ 1 (pow N 3)))
(pow N 4)
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))
(+ 1 (* (pow N 3) (+ 1 (* 3 N))))
(+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))
(* (pow N 3) (+ 1 N))
(+ 1 (* N (- (* 2 (pow N 2)) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))
(+ 1 (pow N 2))
(+ 1 (* (pow N 2) (+ 1 (* 2 N))))
(+ 1 (* (pow N 2) (+ 1 (* N (+ 2 N)))))
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* N (+ 1 (/ 1 N)))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* N (- 1 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (+ N (pow N 2)) 1)))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(* (pow N 2) (+ 1 (* 2 (/ 1 N))))
(* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* N (+ 1 (* 2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))
(pow N 6)
(* (pow N 6) (+ 1 (* 3 (/ 1 N))))
(* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))
(* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))
(* (pow N 4) (+ 1 (/ 1 N)))
(* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* -1 (* N (- (/ 1 N) 1)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (/ (- (* (pow N 2) (pow (- 1 (* -1 N)) 2)) 1) (- (* N (- 1 (* -1 N))) 1)))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(atan2 1 (+ 1 (* N (- (/ 1 (+ 1 (+ (* -1 N) (pow N 2)))) (* -1 (/ (pow N 3) (+ 1 (+ (* -1 N) (pow N 2)))))))))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ 1 (+ (* -1 N) (pow N 2))))) (* -1 (/ N (+ 1 (+ (* -1 N) (pow N 2)))))))
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))
(* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 2) N))))

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

simplify255.0ms (5.9%)

Memory

-27.3MiB live, 223.7MiB allocated; 138ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	892
1	725	861
2	2581	810
0	8361	750

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 78

Calls

Call 1

Inputs
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (pow N 3))
(pow N 3)
N
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
-1
(- N 1)
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (* N (+ 1 N)) 1)))
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(+ 1 (* 2 N))
(+ 1 (* N (+ 2 N)))
2
(+ 2 N)
(pow N 2)
(- (* N (+ 1 N)) 1)
(atan2 1 (+ 1 (* N (+ (/ 1 (+ 1 (+ (* -1 N) (pow N 2)))) (/ (pow N 3) (+ 1 (+ (* -1 N) (pow N 2))))))))
(atan2 1 (+ 1 (+ (/ N (+ 1 (* N (- N 1)))) (/ (pow N 4) (+ 1 (* N (- N 1)))))))
(* N (+ 1 N))
(* N (+ 1 (pow N 3)))
(pow N 4)
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))
(+ 1 (* (pow N 3) (+ 1 (* 3 N))))
(+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))
(* (pow N 3) (+ 1 N))
(+ 1 (* N (- (* 2 (pow N 2)) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))
(+ 1 (pow N 2))
(+ 1 (* (pow N 2) (+ 1 (* 2 N))))
(+ 1 (* (pow N 2) (+ 1 (* N (+ 2 N)))))
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* N (+ 1 (/ 1 N)))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* N (- 1 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (/ (- (* (pow N 2) (pow (+ 1 N) 2)) 1) (- (+ N (pow N 2)) 1)))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(* (pow N 2) (+ 1 (* 2 (/ 1 N))))
(* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* N (+ 1 (* 2 (/ 1 N))))
(* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))
(pow N 6)
(* (pow N 6) (+ 1 (* 3 (/ 1 N))))
(* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))
(* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))
(* (pow N 4) (+ 1 (/ 1 N)))
(* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* -1 (* N (- (/ 1 N) 1)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (/ (- (* (pow N 2) (pow (- 1 (* -1 N)) 2)) 1) (- (* N (- 1 (* -1 N))) 1)))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))
(atan2 1 (+ 1 (* N (- (/ 1 (+ 1 (+ (* -1 N) (pow N 2)))) (* -1 (/ (pow N 3) (+ 1 (+ (* -1 N) (pow N 2)))))))))
(atan2 1 (- (+ 1 (/ (pow N 4) (+ 1 (+ (* -1 N) (pow N 2))))) (* -1 (/ N (+ 1 (+ (* -1 N) (pow N 2)))))))
(atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))
(* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 2) N))))

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

rewrite139.0ms (3.2%)

Memory

20.2MiB live, 111.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	478
0	103	446
1	440	355
0	3977	346

Stop Event

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

Counts

44 → 837

Calls

Call 1

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

Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (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 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.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 (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 (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))) (-.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))) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (+.f64 (pow.f64 (/.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))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.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 (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 (.f64 (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64))) (.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))) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)))))
(/.f64 (fma.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N) #s(literal 2 binary64) (.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N))) (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 (fma.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 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (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 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 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))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) #s(literal -1 binary64)) (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 (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 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (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)))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.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)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (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 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.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))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (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 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N) (-.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (-.f64 N #s(literal 1 binary64)) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (/.f64 (fma.f64 N N N) (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N))) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N))) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N))) (pow.f64 (-.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal -1 binary64)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (pow.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 (*.f64 (fma.f64 N N N) N) (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 N N N)) (neg.f64 (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 N N N) #s(literal -1 binary64)) (.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 N N) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 N N N)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 N N N)) (fma.f64 N N N)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 N N)))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 N N N) (-.f64 N #s(literal -1 binary64))) N)
(.f64 (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (fabs.f64 N)) (fabs.f64 N))
(.f64 (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 N)) (neg.f64 N))
(.f64 (.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) N) N)
(.f64 (.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (fabs.f64 N)) (*.f64 (-.f64 N #s(literal -1 binary64)) (fabs.f64 N)))
(*.f64 (fabs.f64 (fma.f64 N N N)) (fabs.f64 (fma.f64 N N N)))
(*.f64 (exp.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (exp.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(.f64 (.f64 (fma.f64 N N N) N) (-.f64 N #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 N N N)) (neg.f64 (fma.f64 N N N)))
(.f64 (.f64 (fma.f64 N N N) #s(literal -1 binary64)) (*.f64 (fma.f64 N N N) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 N N))
(.f64 (.f64 N N) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (-.f64 N #s(literal -1 binary64)) (.f64 (fma.f64 N N N) N))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))
(.f64 N (.f64 (-.f64 N #s(literal -1 binary64)) (fma.f64 N N N)))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 N) (log.f64 N))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 N N N) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 N N N) (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) N)) (pow.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #s(literal 2 binary64)))
(neg.f64 (*.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))) (sinh.f64 (.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) #s(literal 2 binary64)))

eval136.0ms (3.2%)

Memory: 7.8MiB live, 152.6MiB allocated; 35ms collecting garbage
Compiler: Compiled 39 880 to 3 882 computations (90.3% saved)

prune37.0ms (0.9%)

Memory

-31.2MiB live, 61.1MiB allocated; 12ms collecting garbage

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	891	14	905
Fresh	5	0	5
Picked	2	3	5
Done	0	1	1
Total	898	18	916

Accuracy

99.8%

Counts

916 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (* (- N -1) N) 2) 1) (fma.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64))))
✓	18.1%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (- (pow (* (- N -1) N) 2) 1) (fma.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
	50.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
	96.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (+ (* N (+ -1 N)) 1) (*.f64 (-.f64 N #s(literal 1 binary64)) N))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))) N #s(literal 1 binary64)))
	99.5%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) N #s(literal 1 binary64)))
	99.2%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #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)))
	99.1%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64))) N #s(literal 1 binary64)))
	99.6%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) (neg.f64 N)))
	96.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (pow N 3) -1) (+ (* N (+ -1 N)) 1)) N) 1) (fma.f64 N N N)))
✓	7.8%	(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64))))
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (pow N 3) (+ (* N N) (+ (* -1 N) 1))) (/ -1 (+ (* N N) (+ (* -1 N) 1)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 N N) (/.f64 (.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (+.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))))
	79.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (pow N 3) (+ (* N N) (+ (* -1 N) 1))) (/ -1 (+ (* N N) (+ (* -1 N) 1)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 N N) (fabs.f64 N)) (fabs.f64 N) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))
	79.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (pow N 3) (+ (* N N) (+ (* -1 N) 1))) (/ -1 (+ (* N N) (+ (* -1 N) 1)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 N N) (.f64 N N) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))
	79.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (pow N 3) (+ (* N N) (+ (* -1 N) 1))) (/ -1 (+ (* N N) (+ (* -1 N) 1)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 N #s(literal -2 binary64)) #s(literal -2 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))
✓	79.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (pow N 3) (+ (* N N) (+ (* -1 N) 1))) (/ -1 (+ (* N N) (+ (* -1 N) 1)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (pow.f64 N #s(literal 4 binary64)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))
	79.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ (pow N 3) (+ (* N N) (+ (* -1 N) 1))) (/ -1 (+ (* N N) (+ (* -1 N) 1)))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (.f64 (.f64 N N) (*.f64 N N)) N) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 1 642 to 554 computations (66.3% saved)

regimes15.0ms (0.4%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	N
5.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.8%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
7.8%	1	`N`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify59.0ms (1.4%)

Memory

-34.1MiB live, 22.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	24	53
2	37	53
3	63	47
4	113	44
5	322	44
6	2701	41
7	7787	41

Stop Event

1×	node limit

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)))

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

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

Outputs

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

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

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

derivations134.0ms (3.1%)

Memory

20.6MiB live, 63.6MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 53 to 18 computations (66% saved)

preprocess29.0ms (0.7%)

Memory: -18.0MiB live, 26.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 136 to 58 computations (57.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.4s (55.6%)

explain121.0ms (2.8%)

preprocess210.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series1.0ms (0%)

simplify89.0ms (2.1%)

rewrite65.0ms (1.5%)

eval3.0ms (0.1%)

prune1.0ms (0%)

series2.0ms (0%)

simplify116.0ms (2.7%)

rewrite27.0ms (0.6%)

eval7.0ms (0.2%)

prune3.0ms (0.1%)

series12.0ms (0.3%)

simplify158.0ms (3.7%)

rewrite102.0ms (2.4%)

eval140.0ms (3.3%)

prune32.0ms (0.7%)

series12.0ms (0.3%)

simplify255.0ms (5.9%)

rewrite139.0ms (3.2%)

eval136.0ms (3.2%)

prune37.0ms (0.9%)

regimes15.0ms (0.4%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify59.0ms (1.4%)

derivations134.0ms (3.1%)

preprocess29.0ms (0.7%)

end0.0ms (0%)

Profiling