Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.8s (19.2%)

Memory

13.3MiB live, 2 110.5MiB allocated

Samples

1.3s	7 444×	1	valid
76.0ms	398×	2	valid
28.0ms	414×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-atan: 511.0ms (45.5% of total)

adjust: 238.0ms (21.2% of total)

ival-sub: 110.0ms (9.8% of total)

const: 108.0ms (9.6% of total)

ival-add: 93.0ms (8.3% of total)

ival->: 23.0ms (2% of total)

ival-<: 19.0ms (1.7% of total)

ival-and: 11.0ms (1% of total)

exact: 7.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess19.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
46×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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))

explain179.0ms (1.9%)

Memory

-12.5MiB live, 152.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
255	-	1	(3.699548757427182)	`(-.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	0

Confusion

	Predicted +	Predicted -
+	254	1
-	0	1

Precision

1.0

Recall

0.996078431372549

Confusion?

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

Precision?

1.0

Recall?

0.996078431372549

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

77.0ms	448×	1	valid
5.0ms	28×	2	valid
2.0ms	36×	0	valid

Compiler

Compiled 56 to 28 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-atan: 24.0ms (52.5% of total)

adjust: 12.0ms (26.2% of total)

ival-add: 5.0ms (10.9% of total)

ival-sub: 5.0ms (10.9% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.2%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(atan.f64 N)
✓	cost-diff	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	(atan.f64 (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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
(-.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)

localize56.0ms (0.6%)

Memory

-8.9MiB live, 28.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(atan.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	100.0%	(atan.f64 N)
✓	accuracy	10.2%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Samples

44.0ms	224×	1	valid
2.0ms	14×	2	valid
2.0ms	18×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-atan: 28.0ms (72.7% of total)

adjust: 6.0ms (15.6% of total)

ival-add: 2.0ms (5.2% of total)

ival-sub: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (+ 1 N)) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (- (atan (- 1 (* -1 N))) (atan N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (+ 1 N))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt (atan (- 1 (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>

Calls

12 calls:

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

simplify17.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
128×	`lower-*.f64`
128×	`lower-*.f32`
96×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 46

Calls

Call 1

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

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

rewrite426.0ms (4.6%)

Memory

-22.9MiB live, 342.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 024×	`lower-*.f64`
4 024×	`lower-*.f32`
3 876×	`lower-/.f64`
3 876×	`lower-/.f32`
3 196×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	44	16
2	284	16
3	2885	16
0	8353	16

Stop Event

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

Counts

4 → 239

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))
(atan.f64 N)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(+.f64 (neg.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) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (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)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 #s(literal 0 binary64) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.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) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (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) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (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)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(-.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 0 binary64)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(fma.f64 (atan.f64 N) #s(literal -1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
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(/.f64 (neg.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (fma.f64 (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (fma.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))))
(/.f64 (.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 N (.f64 N N) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 N N)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 N N)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (/.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 N N)) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N))) (.f64 (+.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 N N)) (+.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 N N)) (/.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (/.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 N N)) (-.f64 #s(literal 1 binary64) N)) (.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N)))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N (.f64 N (.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))))) (neg.f64 (fma.f64 (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (fma.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 N #s(literal 1 binary64)) (.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 N N) (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 N (.f64 N N) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) (.f64 (-.f64 #s(literal 1 binary64) N) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (fma.f64 N (.f64 N (.f64 N N)) (.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N)))))
(.f64 (/.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) (*.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (.f64 N N) #s(literal -1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
(.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N N) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (.f64 (.f64 N (.f64 N N)) (.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 (.f64 N N) (*.f64 N N) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))))
(exp.f64 (log.f64 (atan.f64 N)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(atan.f64 N)
(pow.f64 (atan.f64 N) #s(literal 1 binary64))

eval43.0ms (0.5%)

Memory: 9.5MiB live, 82.1MiB allocated
Compiler: Compiled 9 521 to 917 computations (90.4% saved)

prune41.0ms (0.4%)

Memory

-6.3MiB live, 115.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	275	10	285
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	10	286

Accuracy

99.8%

Counts

286 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
▶	99.5%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
▶	99.6%	(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
	99.4%	(.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
	99.5%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.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) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64)))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	92.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))

Compiler

Compiled 746 to 264 computations (64.6% saved)

simplify757.0ms (8.1%)

Memory

-114.7MiB live, 645.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	0	(atan.f64 N)
✓	cost-diff	0	(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
✓	cost-diff	55552	(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	cost-diff	0	(+.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	320	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	cost-diff	15872	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	cost-diff	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	15872	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))

Rules

9 390×	`lower-*.f32`
9 380×	`lower-*.f64`
6 670×	`lower-fma.f32`
6 664×	`lower-fma.f64`
4 624×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	469
0	50	363
1	85	360
2	143	358
3	312	358
4	1086	358
5	4082	358
6	4372	358
7	4751	358
8	5026	358
9	5202	358
10	5349	358
11	5831	358
12	5952	358
13	6079	358
14	6212	358
15	6351	358
16	6496	358
17	6647	358
18	6804	358
19	6929	358
20	7028	358
0	11097	347

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.4%)

Memory

40.8MiB live, 347.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	99.4%	(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.4%	(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
✓	accuracy	98.7%	(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	99.4%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
✓	accuracy	99.3%	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	100.0%	(+.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	99.6%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.6%	(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	92.4%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))

Samples

67.0ms

256×

valid

Compiler

Compiled 515 to 30 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 10.0ms (24.9% of total)

ival-div: 6.0ms (15% of total)

ival-add: 6.0ms (15% of total)

ival-atan2: 5.0ms (12.5% of total)

ival-exp: 3.0ms (7.5% of total)

ival-atan: 3.0ms (7.5% of total)

ival-log: 3.0ms (7.5% of total)

ival-pow2: 2.0ms (5% of total)

ival-sub: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series353.0ms (3.8%)

Memory

-14.5MiB live, 320.7MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))>
#<alt (fma.f64 N N (+.f64 N #s(literal 1 binary64)))>
#<alt (+.f64 N #s(literal 1 binary64))>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))>
#<alt (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))>
#<alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))>
#<alt (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))>
#<alt (+.f64 N (+.f64 N #s(literal 1 binary64)))>
#<alt (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))>
#<alt (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))>
#<alt (atan.f64 N)>
#<alt (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))>
#<alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))>

Outputs
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))>
#<alt (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))>
#<alt (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))>
#<alt (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))>
#<alt (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))>
#<alt (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))>
#<alt (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))>
#<alt (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))>
#<alt (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))>
#<alt (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))>
#<alt (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))>
#<alt (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))>
#<alt (* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))>
#<alt (* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (atan N)>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))>

Calls

54 calls:

Time	Variable		Point	Expression
212.0ms	N	@	0	(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
72.0ms	N	@	inf	(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
21.0ms	N	@	-inf	(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
11.0ms	N	@	inf	(* (log (/ 1 (atan2 1 (+ (* N N) (+ N 1))))) -1)
7.0ms	N	@	-inf	(* (log (/ 1 (atan2 1 (+ (* N N) (+ N 1))))) -1)

simplify379.0ms (4.1%)

Memory

-1.2MiB live, 512.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 708×	`lower-fma.f64`
10 708×	`lower-fma.f32`
3 516×	`lower-*.f64`
3 516×	`lower-*.f32`
1 634×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	2684
1	141	2652
2	234	2652
3	724	2652
4	3233	2652
5	6191	2652
0	8121	2335

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 214

Calls

Call 1

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

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

rewrite457.0ms (4.9%)

Memory

11.5MiB live, 918.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 808×	`lower-/.f32`
4 800×	`lower-/.f64`
4 550×	`lower-fma.f32`
4 544×	`lower-fma.f64`
4 126×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	315
0	50	207
1	180	206
2	1238	204
0	8207	197

Stop Event

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

Counts

18 → 1 266

Calls

Call 1

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

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

eval793.0ms (8.5%)

Memory: 29.6MiB live, 1 173.7MiB allocated
Compiler: Compiled 215 688 to 6 121 computations (97.2% saved)

prune322.0ms (3.5%)

Memory

-16.4MiB live, 714.1MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	3 594	22	3 616
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	3 600	26	3 626

Accuracy

100.0%

Counts

3 626 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	76.3%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	76.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)))
	76.1%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N (.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
▶	76.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
	51.9%	(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	76.2%	(atan2.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
	95.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
	8.1%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
	91.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
▶	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
▶	99.5%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	99.5%	(/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.4%	(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	91.4%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	91.2%	(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ ( N N) (+ N 1)) (*.f64 N N))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.1%	(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	99.5%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	98.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	91.4%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	92.4%	(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 1 182 to 483 computations (59.1% saved)

simplify323.0ms (3.5%)

Memory

2.0MiB live, 319.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 N N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 N N))
✓	cost-diff	0	(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	16256	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	0	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
✓	cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	cost-diff	0	(fma.f64 N N N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
✓	cost-diff	192	(.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N))
✓	cost-diff	2048	(fma.f64 (.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 N N #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Rules

12 664×	`lower-fma.f32`
12 658×	`lower-fma.f64`
2 918×	`lower-*.f32`
2 912×	`lower-*.f64`
1 644×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	288
0	52	234
1	88	230
2	152	230
3	404	230
4	2296	229
5	7899	229
0	8041	225

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (0.9%)

Memory

0.1MiB live, 117.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	accuracy	99.6%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	99.5%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓	accuracy	76.5%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
✓	accuracy	99.5%	(.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N))
✓	accuracy	76.2%	(fma.f64 (.f64 (fma.f64 N N N) (-.f64 (.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))
✓	accuracy	100.0%	#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
✓	accuracy	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 N N #s(literal 1 binary64))
✓	accuracy	99.9%	(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))

Samples

53.0ms

256×

valid

Compiler

Compiled 313 to 30 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 10.0ms (25.9% of total)

ival-atan2: 8.0ms (20.8% of total)

ival-div: 6.0ms (15.6% of total)

ival-mult: 6.0ms (15.6% of total)

ival-pow: 5.0ms (13% of total)

ival-sub: 2.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory

-25.1MiB live, 16.2MiB allocated

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 (pow N 2))>
#<alt (+ 1 (pow N 2))>
#<alt (+ 1 (pow N 2))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* -1 (pow N 2))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (* (pow N 2) (- (pow N 2) 1))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt N>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (* N (+ 1 N))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) 2))>
#<alt (/ 1 (pow (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) 2))>
#<alt (/ 1 (pow (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) 2))>
#<alt (/ 1 (pow (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) 2))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (* 2 N)>
#<alt (/ -1 N)>
#<alt (/ (- (* -1 N) 1) N)>
#<alt (/ (- (* N (- (* -1 N) 1)) 1) N)>
#<alt (/ (- (* N (- (* N (- (* -1 N) 1)) 1)) 1) N)>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))) (pow N 2))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>

Calls

60 calls:

Time	Variable		Point	Expression
25.0ms	N	@	0	(+ 1 (+ N N))
1.0ms	N	@	-inf	(* (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))))
1.0ms	N	@	inf	(* (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))))
1.0ms	N	@	0	(* (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))))
1.0ms	N	@	inf	(* (+ (* N N) N) (- (* N N) N))

simplify239.0ms (2.6%)

Memory

13.0MiB live, 325.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 398×	`lower-fma.f64`
11 398×	`lower-fma.f32`
3 348×	`lower-*.f64`
3 348×	`lower-*.f32`
1 218×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	2100
1	182	2029
2	364	2007
3	1637	1987
4	6377	1983
0	8127	1767

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

Calls

Call 1

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

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

rewrite142.0ms (1.5%)

Memory

-11.0MiB live, 173.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 068×	`lower-fma.f32`
1 062×	`lower-fma.f64`
770×	`lower-/.f32`
762×	`lower-/.f64`
706×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	242
0	52	164
1	219	159
0	1837	156

Stop Event

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

Counts

20 → 574

Calls

Call 1

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

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

eval219.0ms (2.4%)

Memory: 33.9MiB live, 415.0MiB allocated
Compiler: Compiled 45 593 to 2 544 computations (94.4% saved)

prune136.0ms (1.5%)

Memory

-27.9MiB live, 271.4MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 404	15	1 419
Fresh	9	10	19
Picked	2	3	5
Done	1	1	2
Total	1 416	29	1 445

Accuracy

100.0%

Counts

1 445 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	76.3%	(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	76.3%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
✓	76.3%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	76.3%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))) #s(literal -1/2 binary64))
▶	68.3%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ ( N N) N)) (*.f64 N N))))) #s(literal -1/2 binary64))
▶	76.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 N N) N) (.f64 (fma.f64 N N N) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) #s(literal 1 binary64)))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	71.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ (* N N) N) (- (* N N) N)) (.f64 N (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) #s(literal 1 binary64)))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	76.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	95.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
▶	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
	95.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
	91.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
	91.5%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(approx (+ 1 (+ N N)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶	99.3%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
	99.5%	(/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.4%	(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	91.4%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.1%	(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
▶	99.5%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	98.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	91.4%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	92.4%	(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 1 231 to 546 computations (55.6% saved)

simplify219.0ms (2.4%)

Memory

16.0MiB live, 290.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 N N))
✓	cost-diff	0	(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	320	(*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))
✓	cost-diff	16256	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	cost-diff	0	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ ( N N) N)) (*.f64 N N))))) #s(literal -1/2 binary64))
✓	cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ ( N N) N)) (*.f64 N N)))))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
✓	cost-diff	1920	(fma.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)
✓	cost-diff	0	#s(approx (+ (* N N) 1) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
✓	cost-diff	15872	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Rules

8 474×	`lower-fma.f32`
8 462×	`lower-fma.f64`
2 804×	`lower-/.f32`
2 794×	`lower-/.f64`
2 686×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	426
0	79	508
1	142	501
2	210	343
3	465	343
4	2011	343
5	5617	343
0	8189	337

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.9%)

Memory

-14.9MiB live, 142.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
✓	accuracy	99.6%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
✓	accuracy	99.5%	(*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ ( N N) N)) (*.f64 N N)))))
✓	accuracy	91.6%	#s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))
✓	accuracy	91.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))
✓	accuracy	76.5%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ ( N N) N)) (*.f64 N N))))) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64)))
✓	accuracy	99.4%	(fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64))
✓	accuracy	76.2%	(fma.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)
✓	accuracy	100.0%	#s(approx (+ (* N N) 1) #s(literal 1 binary64))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
✓	accuracy	8.1%	(+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N)
✓	accuracy	100.0%	(+.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	99.5%	(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
✓	accuracy	99.4%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Samples

96.0ms

256×

valid

Compiler

Compiled 447 to 39 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 44.0ms (56.9% of total)

ival-atan2: 11.0ms (14.2% of total)

ival-mult: 8.0ms (10.3% of total)

ival-div: 7.0ms (9% of total)

ival-pow: 6.0ms (7.8% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory

-10.6MiB live, 27.4MiB allocated

Counts

26 → 312

Calls

Call 1

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

Outputs
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt (+ 1 N)>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt N>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (* N (+ 1 (/ 1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt 1>
#<alt (+ 1 (pow N 2))>
#<alt (+ 1 (pow N 2))>
#<alt (+ 1 (pow N 2))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 2) (+ 1 (/ 1 (pow N 2))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))>
#<alt (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))>
#<alt (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))>
#<alt (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))>
#<alt (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))>
#<alt (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))>
#<alt (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))>
#<alt (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))>
#<alt (atan2 1 (- (/ (pow N 4) (- (pow N 2) 1)) (+ (* -1 N) (/ 1 (- (pow N 2) 1)))))>
#<alt (atan2 1 (- (/ (pow N 4) (- (pow N 2) 1)) (+ (* -1 N) (/ 1 (- (pow N 2) 1)))))>
#<alt (atan2 1 (- (/ (pow N 4) (- (pow N 2) 1)) (+ (* -1 N) (/ 1 (- (pow N 2) 1)))))>
#<alt (atan2 1 (- (/ (pow N 4) (- (pow N 2) 1)) (+ (* -1 N) (/ 1 (- (pow N 2) 1)))))>
#<alt -1>
#<alt (- (pow N 4) 1)>
#<alt (- (pow N 4) 1)>
#<alt (- (pow N 4) 1)>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 4))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 4))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 4))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 4))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 4))))>
#<alt (* (pow N 4) (- 1 (/ 1 (pow N 4))))>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (pow N 2)>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))>
#<alt (/ 1 (pow (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) 2))>
#<alt (/ 1 (pow (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) 2))>
#<alt (/ 1 (pow (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) 2))>
#<alt (/ 1 (pow (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) 2))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* 2 N))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* 2 N)>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (* N (+ 2 (/ 1 N)))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt -1>
#<alt (- (* -1 (pow N 2)) 1)>
#<alt (- (* (pow N 2) (- (* -1 (pow N 2)) 1)) 1)>
#<alt (- (* (pow N 2) (- (* (pow N 2) (- (* -1 (pow N 2)) 1)) 1)) 1)>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (/ 1 (pow N 2))) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 4)))) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (/ 1 (pow N 2))) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 4)))) (pow N 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))) (pow N 2))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (+ 1 (+ N (pow N 2))))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>
#<alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))>

Calls

78 calls:

Time	Variable		Point	Expression
26.0ms	N	@	inf	(+ 1 (+ N N))
1.0ms	N	@	inf	(+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)
1.0ms	N	@	inf	(+ (* (* N N) (* N N)) -1)
1.0ms	N	@	-inf	(+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)
0.0ms	N	@	-inf	(* (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))))

simplify405.0ms (4.4%)

Memory

19.7MiB live, 263.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 662×	`lower-fma.f64`
9 662×	`lower-fma.f32`
3 294×	`lower-*.f64`
3 294×	`lower-*.f32`
2 478×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	3033
1	182	3009
2	349	3006
3	1275	2994
4	5702	2994
0	8634	2666

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 310

Calls

Call 1

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

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

rewrite178.0ms (1.9%)

Memory

3.4MiB live, 123.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 562×	`lower-fma.f32`
1 550×	`lower-fma.f64`
956×	`lower-/.f32`
946×	`lower-/.f64`
934×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	344
0	79	427
1	325	261
0	2305	255

Stop Event

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

Counts

26 → 482

Calls

Call 1

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

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

eval200.0ms (2.1%)

Memory: -10.9MiB live, 142.5MiB allocated
Compiler: Compiled 31 493 to 1 583 computations (95% saved)

prune148.0ms (1.6%)

Memory

2.8MiB live, 127.7MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1 008	8	1 016
Fresh	4	16	20
Picked	4	1	5
Done	0	4	4
Total	1 016	29	1 045

Accuracy

100.0%

Counts

1 045 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	76.3%	(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
	68.3%	(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ ( N N) N)) (*.f64 N N))))) #s(literal -1/2 binary64))
	76.3%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
✓	76.3%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
	76.3%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))))) #s(literal -1/2 binary64))
	71.9%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* N N) -1)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N))
	99.5%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64)))) N))
	43.2%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (.f64 N N) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (.f64 N (*.f64 N N)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
	99.3%	(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
	73.8%	(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* N N) (* N N)) -1) (.f64 N (.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
	76.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (.f64 N N) (.f64 N N) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
	95.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
✓	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) #s(literal 1 binary64)) N))
	95.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (fma.f64 N N N)))
	91.3%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (*.f64 N N)))
✓	6.6%	(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
	91.5%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(approx (+ 1 (+ N N)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	91.3%	(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(approx (+ 1 (+ N N)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
	99.4%	(/.f64 (/.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.4%	(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	91.4%	(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
	99.1%	(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	91.4%	(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	98.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
	92.4%	(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))

Compiler

Compiled 1 961 to 473 computations (75.9% saved)

regimes47.0ms (0.5%)

Memory

-14.9MiB live, 23.5MiB allocated

Counts

56 → 1

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	N
11.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`N`
95.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
91.3%	1	`N`
91.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
8.1%	1	`N`
8.1%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #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
6.6%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.6%	1	`N`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify45.0ms (0.5%)

Memory

-28.3MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	27	67

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness745.0ms (8%)

Memory

3.2MiB live, 245.7MiB allocated

Rules

10 708×	`lower-fma.f64`
10 708×	`lower-fma.f32`
4 808×	`lower-/.f32`
4 800×	`lower-/.f64`
4 550×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	2684
1	141	2652
2	234	2652
3	724	2652
4	3233	2652
5	6191	2652
0	8121	2335
0	26	315
0	50	207
1	180	206
2	1238	204
0	8207	197
0	6	16
0	10	16
1	44	16
2	284	16
3	2885	16
0	8353	16

Stop Event

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

Compiler

Compiled 176 to 85 computations (51.7% saved)

preprocess91.0ms (1%)

Memory: 20.4MiB live, 95.3MiB allocated
Compiler: Compiled 136 to 64 computations (52.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186

start0.0ms (0%)

analyze2.0ms (0%)

sample1.8s (19.2%)

preprocess19.0ms (0.2%)

explain179.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize56.0ms (0.6%)

series2.0ms (0%)

simplify17.0ms (0.2%)

rewrite426.0ms (4.6%)

eval43.0ms (0.5%)

prune41.0ms (0.4%)

simplify757.0ms (8.1%)

localize132.0ms (1.4%)

series353.0ms (3.8%)

simplify379.0ms (4.1%)

rewrite457.0ms (4.9%)

eval793.0ms (8.5%)

prune322.0ms (3.5%)

simplify323.0ms (3.5%)

localize86.0ms (0.9%)

series44.0ms (0.5%)

simplify239.0ms (2.6%)

rewrite142.0ms (1.5%)

eval219.0ms (2.4%)

prune136.0ms (1.5%)

simplify219.0ms (2.4%)

localize179.0ms (1.9%)

series46.0ms (0.5%)

simplify405.0ms (4.4%)

rewrite178.0ms (1.9%)

eval200.0ms (2.1%)

prune148.0ms (1.6%)

regimes47.0ms (0.5%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify45.0ms (0.5%)

soundness745.0ms (8%)

preprocess91.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	17
2	41	16
3	73	16
4	121	16
5	178	16
6	201	16
7	212	16
0	6	7
0	10	7
1	15	7
2	19	7
3	25	7
4	33	7
5	48	7
6	80	7
7	106	7
8	150	7
9	165	7
10	173	7
0	173	7

Iter	Nodes	Cost
0	6	18
0	10	18
1	15	18
2	19	18
3	25	18
4	33	18
5	48	18
6	80	18
7	106	18
8	150	18
9	165	18
10	173	18
0	173	18

Iter	Nodes	Cost
0	14	186
1	34	186
2	44	186
3	89	186
4	189	186
5	335	186
6	381	186
7	420	186
8	475	186
9	490	186
10	498	186
0	498	186