Metrics for 2atan (example 3.5)

analyze3.0ms (0%)

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 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

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

sample1.9s (23.4%)

Results

1.3s	7376×	1	valid
156.0ms	604×	2	valid
40.0ms	276×	0	valid

Precisions

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

ival-atan: 365.0ms (33.8% of total)

backward-pass: 174.0ms (16.1% of total)

...c/correct-round.rkt:119:19: 127.0ms (11.8% of total)

ival-add: 115.0ms (10.6% of total)

ival-sub: 108.0ms (10% of total)

ival->: 95.0ms (8.8% of total)

ival-<: 45.0ms (4.2% of total)

ival-and: 35.0ms (3.2% of total)

const: 15.0ms (1.4% of total)

Bogosity

preprocess39.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

270×	`sum3-define`
244×	`fnmadd-define`
184×	`fmsub-define`
168×	`fnmsub-define`
168×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	25	24
2	52	23
3	99	23
4	190	23
5	387	23
6	579	23
7	755	23
8	849	23
9	955	23
10	1033	23
11	1039	23
0	6	7
1	11	7
2	15	7
3	22	7
4	32	7
5	64	7
6	122	7
7	210	7
8	295	7
9	401	7
10	479	7
11	485	7
0	485	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(- (atan (+ N 1)) (atan N))
(- (atan (+ (neg N) 1)) (atan (neg N)))
(neg (- (atan (+ (neg N) 1)) (atan (neg N))))

Outputs
(- (atan (+ N 1)) (atan N))
(- (atan (+ (neg N) 1)) (atan (neg N)))
(- (atan (- 1 N)) (atan (neg N)))
(neg (- (atan (+ (neg N) 1)) (atan (neg N))))
(- (atan (neg N)) (atan (- 1 N)))

explain162.0ms (2%)

FPErrors

Click to see full error table

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

Results

118.0ms	470×	1	valid
11.0ms	30×	2	valid
1.0ms	12×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-atan: 25.0ms (46.7% of total)

backward-pass: 14.0ms (26.2% of total)

ival-add: 7.0ms (13.1% of total)

ival-sub: 6.0ms (11.2% of total)

const: 1.0ms (1.9% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.2%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify16.0ms (0.2%)

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

124×	`fnmadd-define`
122×	`sum3-define`
80×	`fma-lowering-fma.f32`
80×	`fnmsub-define`
80×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize63.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(atan.f64 N)
✓	accuracy	100.0%	(atan.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	8.2%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

48.0ms	235×	1	valid
4.0ms	15×	2	valid
1.0ms	6×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-atan: 12.0ms (45.6% of total)

backward-pass: 6.0ms (22.8% of total)

ival-add: 5.0ms (19% of total)

ival-sub: 3.0ms (11.4% of total)

const: 1.0ms (3.8% of total)

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- (atan (+ N 1)) (atan N))>
#<alt (atan (+ N 1))>
#<alt (+ N 1)>
#<alt (atan 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	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	0	(- (atan (+ N 1)) (atan N))
0.0ms	N	@	-inf	(+ N 1)

rewrite324.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4064×	`-lowering-.f32`
4064×	`-lowering-.f64`
2676×	`/-lowering-/.f32`
2676×	`/-lowering-/.f64`
2066×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	40	16
2	293	16
3	3166	16
0	9386	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify311.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

270×	`fnmadd-define`
228×	`fma-lowering-fma.f32`
228×	`fma-lowering-fma.f64`
226×	`sum3-define`
218×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	186
1	35	186
2	49	186
3	99	186
4	218	186
5	441	186
6	641	186
7	776	186
8	939	186
9	1061	186
10	1139	186
11	1145	186
0	1145	186

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

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)

eval35.0ms (0.4%)

Compiler: Compiled 7779 to 750 computations (90.4% saved)

prune29.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	232	7	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	233	7	240

Accuracy

99.8%

Counts

240 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
▶	99.5%	(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
▶	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
▶	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))))
	99.5%	(.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))))
▶	92.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))

Compiler

Compiled 524 to 186 computations (64.5% saved)

simplify152.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	128	(.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	14464	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	cost-diff	14464	(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	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) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	14464	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	256	(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64))
✓	cost-diff	12800	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))

Rules

2242×	`fnmadd-define`
1864×	`sum5-define`
1500×	`fma-lowering-fma.f32`
1500×	`fma-lowering-fma.f64`
1456×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	359
1	57	293
2	124	291
3	288	291
4	700	291
5	2561	291
6	3001	291
7	4283	291
8	6917	291
0	8393	291

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan2 1 (+ 1 (* N (+ N 1))))
1
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(exp (* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1))
(* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1)
(log (/ 1 (atan2 1 (+ 1 (* N (+ N 1))))))
(/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))
1
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
-1
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
N
(+ N 1)
1
(- 1 (* N (+ N 1)))
(* N (+ N 1))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (* N (+ N 1))))
1
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
(- 1 (* N (+ N 1)))
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
N
(+ N 1)
1
(- 1 (* N (+ N 1)))
(* N (+ N 1))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))

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

localize185.0ms (2.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
✓	accuracy	99.3%	(.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 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) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	accuracy	100.0%	(*.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.5%	(.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.5%	(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	100.0%	(*.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.5%	(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	92.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))

Results

110.0ms

256×

valid

Compiler

Compiled 459 to 22 computations (95.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 9.0ms (27.8% of total)

ival-div: 6.0ms (18.6% of total)

ival-add: 4.0ms (12.4% of total)

ival-atan2: 4.0ms (12.4% of total)

ival-log: 4.0ms (12.4% of total)

ival-exp: 3.0ms (9.3% of total)

ival-sub: 1.0ms (3.1% of total)

const: 1.0ms (3.1% of total)

backward-pass: 0.0ms (0% of total)

series94.0ms (1.2%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (atan2 1 (+ 1 (* N (+ N 1))))>
#<alt (+ 1 (* N (+ N 1)))>
#<alt (* N (+ N 1))>
#<alt (+ N 1)>
#<alt (exp (* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1))>
#<alt (* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1)>
#<alt (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1))))))>
#<alt (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))>
#<alt (+ N (+ N 1))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))))>
#<alt (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>

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

Calls

51 calls:

Time	Variable		Point	Expression
32.0ms	N	@	0	(* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1)
28.0ms	N	@	inf	(* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1)
23.0ms	N	@	-inf	(* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1)
1.0ms	N	@	inf	(* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
1.0ms	N	@	-inf	(* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))

rewrite314.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4018×	`-lowering-.f32`
4018×	`-lowering-.f64`
3880×	`/-lowering-/.f32`
3880×	`/-lowering-/.f64`
1882×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	195
1	113	158
2	792	156
0	8588	156

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 772

Calls

Call 1

Inputs
(atan2 1 (+ 1 (* N (+ N 1))))
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
(+ N 1)
(exp (* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1))
(* (log (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))) -1)
(log (/ 1 (atan2 1 (+ 1 (* N (+ N 1))))))
(/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))
(+ N (+ N 1))
(/ (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))))
(* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))

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

simplify200.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1506×	`/-lowering-/.f32`
1506×	`/-lowering-/.f64`
1456×	`--lowering--.f32`
1456×	`--lowering--.f64`
1416×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	2317
1	145	1840
2	295	1840
3	883	1840
4	4524	1840
0	8045	1840

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

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

eval492.0ms (6.1%)

Compiler: Compiled 150330 to 6005 computations (96% saved)

prune329.0ms (4.1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	3431	21	3452
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	3436	23	3459

Accuracy

100.0%

Counts

3459 → 23

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) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	79.3%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1/2 binary64))
	27.2%	(atan2.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N (.f64 N (+.f64 #s(literal 1 binary64) N))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)) (.f64 (+.f64 #s(literal 1 binary64) N) (.f64 N (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)) (+.f64 (*.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)))))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) N))
▶	53.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
	79.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (+.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
	79.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	8.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	96.9%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
	93.9%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
▶	6.4%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	79.0%	(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (+.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
	99.5%	(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (-.f64 (/.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
	99.1%	(.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) 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) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	94.0%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	99.3%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))))
▶	94.0%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))))

Compiler

Compiled 1218 to 510 computations (58.1% saved)

simplify188.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
✓	cost-diff	128	(.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	256	(+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
✓	cost-diff	256	(+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (*.f64 N N)))
✓	cost-diff	512	(/.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
✓	cost-diff	384	(/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(+.f64 (*.f64 N N) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) N))

Rules

3156×	`+-lowering-+.f64`
3156×	`+-lowering-+.f32`
2386×	`-lowering-.f32`
2386×	`-lowering-.f64`
1700×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	289
1	101	268
2	250	265
3	717	240
4	2298	240
0	8390	240

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize184.0ms (2.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
✓	accuracy	99.3%	(.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	accuracy	99.5%	(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))
✓	accuracy	99.5%	(.f64 N (.f64 N N))
✓	accuracy	99.4%	(.f64 (.f64 N N) (*.f64 N N))
✓	accuracy	55.1%	(/.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))
✓	accuracy	100.0%	(+.f64 (*.f64 N N) #s(literal -1 binary64))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
✓	accuracy	99.5%	(/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))
✓	accuracy	99.5%	(.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)
✓	accuracy	100.0%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	100.0%	(+.f64 (*.f64 N N) #s(literal 1 binary64))
✓	accuracy	99.9%	(+.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) N)
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) N))

Results

123.0ms

256×

valid

Compiler

Compiled 394 to 36 computations (90.9% saved)

Precisions

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

ival-mult: 14.0ms (27.6% of total)

ival-add: 13.0ms (25.7% of total)

ival-atan2: 12.0ms (23.7% of total)

ival-sub: 6.0ms (11.8% of total)

ival-div: 5.0ms (9.9% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

series20.0ms (0.3%)

Counts

23 → 264

Calls

Call 1

Inputs
#<alt (atan2 1 (+ (+ (* N N) 1) N))>
#<alt (+ (+ (* N N) 1) N)>
#<alt (+ (* N N) 1)>
#<alt (* N N)>
#<alt (atan2 1 1)>
#<alt (/ (* (+ (* N N) -1) N) (+ N -1))>
#<alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))))>
#<alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))>
#<alt (* (+ (* N N) -1) N)>
#<alt (/ (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (+ (* (* N N) (* N N)) (* (* N N) (- 1 N))))>
#<alt (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N)))>
#<alt (+ (* (* N N) (* N N)) (* (* N N) (- 1 N)))>
#<alt (atan2 1 (+ 1 (/ (+ (* (* N (* N N)) (* N (* N N))) (* N (* N N))) (+ (* (* N N) (* N N)) (* (* N N) (- 1 N))))))>
#<alt (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 1 (- 1 (* N (+ N 1))))))>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (/ 1 (atan2 1 (- 1 (* N (+ N 1)))))))>
#<alt (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))>
#<alt (+ N (+ N 1))>
#<alt (+ (* N N) -1)>
#<alt (* (* N N) (* N N))>
#<alt (* N (* N N))>
#<alt (* (* N N) (- 1 N))>
#<alt (atan2 1 (+ 1 (* N (+ N 1))))>
#<alt (/ 1 (atan2 1 (- 1 (* N (+ N 1)))))>

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 (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 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 (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -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 N)>
#<alt (* N (- (pow N 2) 1))>
#<alt (* N (- (pow N 2) 1))>
#<alt (* N (- (pow N 2) 1))>
#<alt (pow N 3)>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 3)>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<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 (pow N 3)>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (* (pow N 3) (+ 1 (pow N 3)))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (pow N 6)>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (* (pow N 6) (+ 1 (/ 1 (pow N 3))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* (pow N 2) (- 1 N)) (pow N 4))) (/ (pow N 6) (+ (* (pow N 2) (- 1 N)) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* (pow N 2) (- 1 N)) (pow N 4))) (/ (pow N 6) (+ (* (pow N 2) (- 1 N)) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* (pow N 2) (- 1 N)) (pow N 4))) (/ (pow N 6) (+ (* (pow N 2) (- 1 N)) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (+ (* (pow N 2) (- 1 N)) (pow N 4))) (/ (pow N 6) (+ (* (pow N 2) (- 1 N)) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (+ 1 (+ (/ (pow N 3) (- (+ (pow N 2) (pow N 4)) (pow N 3))) (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))) (* -1 (/ (pow N 3) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 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 (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<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 (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<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 (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<alt (pow N 3)>
#<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 N 3))>
#<alt (* (pow N 3) (- (/ 1 N) 1))>
#<alt (* (pow N 3) (- (/ 1 N) 1))>
#<alt (* (pow N 3) (- (/ 1 N) 1))>
#<alt (* -1 (pow N 3))>
#<alt (* -1 (* (pow N 3) (- 1 (/ 1 N))))>
#<alt (* -1 (* (pow N 3) (- 1 (/ 1 N))))>
#<alt (* -1 (* (pow N 3) (- 1 (/ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (/ 1 (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ 1 (atan2 1 (- 1 (* N (+ 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 (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ 1 (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>

Calls

66 calls:

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

rewrite338.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4554×	`-lowering-.f32`
4554×	`-lowering-.f64`
2586×	`/-lowering-/.f32`
2586×	`/-lowering-/.f64`
2158×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	186
1	241	161
2	2382	161
0	9879	161

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 538

Calls

Call 1

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

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

simplify215.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3214×	`-lowering-.f32`
3214×	`-lowering-.f64`
1882×	`fmsub-define`
1826×	`fmm-def`
1706×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	2511
1	351	2057
2	920	2046
3	3489	2046
0	8326	2046

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

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

eval129.0ms (1.6%)

Compiler: Compiled 31822 to 2160 computations (93.2% saved)

prune100.0ms (1.2%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1006	13	1019
Fresh	5	12	17
Picked	3	2	5
Done	0	1	1
Total	1014	28	1042

Accuracy

100.0%

Counts

1042 → 28

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) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	79.3%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1/2 binary64))
	79.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (-.f64 #s(literal 1 binary64) (.f64 N N))) N))
	79.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)))) N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) N))
	96.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
	28.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (.f64 N (.f64 N N))))))) (-.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
	54.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 N (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (.f64 N N)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))))
	96.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 N N) N) (+.f64 N #s(literal -1 binary64)))))
▶	52.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)))))
▶	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N N) #s(literal -1 binary64)))))
▶	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))))
	81.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 (.f64 N (.f64 N N)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)))))))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	8.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	96.9%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
▶	93.9%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	99.5%	(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (-.f64 (/.f64 (.f64 N N) #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
	99.1%	(.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) 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) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	94.0%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
▶	93.9%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	99.3%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))))
	93.1%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	99.5%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))))

Compiler

Compiled 1384 to 605 computations (56.3% saved)

simplify149.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	256	(+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
✓	cost-diff	512	(/.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))))
✓	cost-diff	512	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	cost-diff	0	(/.f64 N (+.f64 N #s(literal -1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N N) #s(literal -1 binary64))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N N) #s(literal -1 binary64)))))
✓	cost-diff	384	(.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N N) #s(literal -1 binary64)))

Rules

2090×	`-lowering-.f32`
2090×	`-lowering-.f64`
1920×	`+-lowering-+.f64`
1920×	`+-lowering-+.f32`
1488×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	377
1	115	345
2	361	326
3	1057	268
4	3595	268
0	8283	268

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize256.0ms (3.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	accuracy	99.5%	(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
✓	accuracy	99.5%	(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))
✓	accuracy	99.4%	(.f64 (.f64 N N) (*.f64 N N))
✓	accuracy	55.0%	(/.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))))
✓	accuracy	99.5%	(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	accuracy	100.0%	(+.f64 (*.f64 N N) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 N (+.f64 N #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N N) #s(literal -1 binary64)))
✓	accuracy	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N N) #s(literal -1 binary64)))))

Results

177.0ms

256×

valid

Compiler

Compiled 435 to 40 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 22.0ms (37.5% of total)

ival-atan2: 12.0ms (20.5% of total)

ival-add: 12.0ms (20.5% of total)

ival-div: 8.0ms (13.7% of total)

ival-sub: 4.0ms (6.8% of total)

const: 1.0ms (1.7% of total)

backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* (/ N (+ N -1)) (+ (* N N) -1))>
#<alt (atan2 1 (+ 1 (* (/ N (+ N -1)) (+ (* N N) -1))))>
#<alt (+ 1 (* (/ N (+ N -1)) (+ (* N N) -1)))>
#<alt (/ N (+ N -1))>
#<alt (atan2 1 (* N N))>
#<alt (* N N)>
#<alt (* (/ 1 (+ N -1)) (* N (+ (* N N) -1)))>
#<alt (atan2 1 (+ 1 (* (/ 1 (+ N -1)) (* N (+ (* N N) -1)))))>
#<alt (+ 1 (* (/ 1 (+ N -1)) (* N (+ (* N N) -1))))>
#<alt (/ 1 (+ N -1))>
#<alt (/ (* N (* N (* (* N N) (* N N)))) (+ (* (* N N) (* N N)) (* (* N N) (- 1 N))))>
#<alt (+ (* (* N N) (* N N)) (* (* N N) (- 1 N)))>
#<alt (atan2 1 (+ 1 (/ (* N (* N (* (* N N) (* N N)))) (+ (* (* N N) (* N N)) (* (* N N) (- 1 N))))))>
#<alt (+ 1 (/ (* N (* N (* (* N N) (* N N)))) (+ (* (* N N) (* N N)) (* (* N N) (- 1 N)))))>
#<alt (/ 1 (/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N))))))>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ 1 (/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))))>
#<alt (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))>
#<alt (+ N (+ N 1))>
#<alt (+ (* N N) -1)>
#<alt (* N (+ (* N N) -1))>
#<alt (* (* N N) (* N N))>
#<alt (* (* N N) (- 1 N))>
#<alt (/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>

Outputs
#<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 (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -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 N)>
#<alt (* N (- (* -1 N) 1))>
#<alt (* N (- (* N (- (* -1 N) 1)) 1))>
#<alt (* N (- (* N (- (* N (- (* -1 N) 1)) 1)) 1))>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))>
#<alt (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 N))>
#<alt (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N)))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (pow N 2))>
#<alt (atan2 1 (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 (pow N 2)>
#<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 (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))>
#<alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -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) 1)>
#<alt (- (* N (- (* -1 N) 1)) 1)>
#<alt (- (* N (- (* N (- (* -1 N) 1)) 1)) 1)>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)>
#<alt (/ (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))))) N)>
#<alt (/ 1 N)>
#<alt (/ (+ 1 (/ 1 N)) N)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) N))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (+ 1 N))>
#<alt (* (pow N 4) (+ 1 (* N (+ 1 (* -1 (pow N 2))))))>
#<alt (* (pow N 4) (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))))>
#<alt (* (pow N 2) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (+ 1 (* -1 N)))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (* (pow N 2) (+ 1 (* N (- N 1))))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (pow N 4)>
#<alt (* (pow N 4) (- 1 (/ 1 N)))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (+ (* (pow N 2) (- 1 N)) (pow N 4)))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (+ (* (pow N 2) (- 1 N)) (pow N 4)))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (+ (* (pow N 2) (- 1 N)) (pow N 4)))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (+ (* (pow N 2) (- 1 N)) (pow N 4)))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3)))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3)))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3)))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (- (+ (pow N 2) (pow N 4)) (pow N 3)))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))))>
#<alt (atan2 1 (+ 1 (/ (pow N 6) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))))>
#<alt 1>
#<alt (+ 1 (pow N 4))>
#<alt (+ 1 (* (pow N 4) (+ 1 N)))>
#<alt (+ 1 (* (pow N 4) (+ 1 (* N (+ 1 (* -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)))) (/ 1 (pow N 3))))>
#<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 (/ (- (* -1 (/ (- 1 (/ 1 N)) N)) 1) N))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))>
#<alt (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 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 (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))>
#<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 (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<alt (- (pow N 2) 1)>
#<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 N)>
#<alt (* N (- (pow N 2) 1))>
#<alt (* N (- (pow N 2) 1))>
#<alt (* N (- (pow N 2) 1))>
#<alt (pow N 3)>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (* (pow N 3) (- 1 (/ 1 (pow N 2))))>
#<alt (pow N 3)>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<alt (* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<alt (pow N 4)>
#<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 N 3))>
#<alt (* (pow N 3) (- (/ 1 N) 1))>
#<alt (* (pow N 3) (- (/ 1 N) 1))>
#<alt (* (pow N 3) (- (/ 1 N) 1))>
#<alt (* -1 (pow N 3))>
#<alt (* -1 (* (pow N 3) (- 1 (/ 1 N))))>
#<alt (* -1 (* (pow N 3) (- 1 (/ 1 N))))>
#<alt (* -1 (* (pow N 3) (- 1 (/ 1 N))))>
#<alt (/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))>
#<alt (/ (atan2 1 (- 1 (* N (- 1 (* -1 N))))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (- 1 (* N (- 1 (* -1 N))))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (- 1 (* N (- 1 (* -1 N))))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))>
#<alt (/ (atan2 1 (- 1 (* N (- 1 (* -1 N))))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 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 (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>
#<alt (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))>

Calls

72 calls:

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

rewrite329.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2846×	`/-lowering-/.f32`
2846×	`/-lowering-/.f64`
2044×	`-lowering-.f32`
2044×	`-lowering-.f64`
1728×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	273
1	268	202
2	2636	192
0	8381	192

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 775

Calls

Call 1

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

Outputs
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 (/.f64 (*.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N N))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 0 binary64) N)))
(+.f64 (.f64 (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (/.f64 N (+.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 N (.f64 N (.f64 N N))) (+.f64 (.f64 N N) #s(literal 1 binary64))) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) #s(literal 1 binary64))) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (+.f64 N #s(literal -1 binary64)))) (/.f64 (.f64 N N) (.f64 N (+.f64 N #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 N N) (-.f64 N (.f64 N N))) (/.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 N (.f64 N N))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N))) (/.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) (/.f64 (+.f64 N #s(literal -1 binary64)) N))) (/.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) (/.f64 (+.f64 N #s(literal -1 binary64)) N))))
(fma.f64 N N N)
(fma.f64 N #s(literal 1 binary64) (*.f64 N N))
(fma.f64 N (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 N N)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 N (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 N (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) #s(literal -1 binary64)) (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 #s(literal -1 binary64) (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (*.f64 N N) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (*.f64 N N) (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) N)
(fma.f64 #s(literal 1 binary64) N (*.f64 N N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) N)
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N N)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 0 binary64) N)))
(fma.f64 (-.f64 #s(literal 0 binary64) N) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (.f64 N (.f64 N N)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(fma.f64 (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) N) N (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 N (+.f64 #s(literal -1 binary64) (.f64 N N))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 N N)) (/.f64 (+.f64 N #s(literal -1 binary64)) N))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 N (+.f64 #s(literal -1 binary64) (.f64 N N)))))
(/.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 N N))) (+.f64 N #s(literal -1 binary64)))
(/.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N))))))
(/.f64 (.f64 N (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (.f64 N N) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) N) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64))) (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) N) (+.f64 (.f64 N N) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N))))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 (.f64 N N) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) N) (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))) (+.f64 N #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (-.f64 #s(literal 0 binary64) N)) (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) N) (.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(/.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N)) (.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 N N))) (neg.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 N N)))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 N N) (.f64 N (*.f64 N N)))))
(/.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (+.f64 (.f64 N N) (-.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N (*.f64 N N)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N))) (-.f64 (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (.f64 (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) N))))))
(/.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N N)) (*.f64 N (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (-.f64 N (*.f64 N N)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N)) (/.f64 (.f64 N N) (/.f64 (+.f64 N #s(literal -1 binary64)) N))) (.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (/.f64 N (-.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) (/.f64 (+.f64 N #s(literal -1 binary64)) N)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 N N))) (/.f64 (+.f64 N #s(literal -1 binary64)) N))
(/.f64 (.f64 N (-.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (.f64 (.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (+.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 N N))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 0 binary64) N)))))
(/.f64 (.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64))) (+.f64 (*.f64 N N) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 N N)) #s(literal 1 binary64)) (/.f64 (+.f64 N #s(literal -1 binary64)) N))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 N N)) (-.f64 #s(literal 0 binary64) N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (+.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal 0 binary64) N)))))
(/.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64)))) (+.f64 (*.f64 N N) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))))) (neg.f64 (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))))))
(/.f64 (neg.f64 (.f64 N (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)))) (neg.f64 (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (.f64 N N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))))) (neg.f64 (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) N) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)))) (neg.f64 (.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) N) (+.f64 (.f64 N N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 (.f64 N N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) N)) (neg.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))) (/.f64 (+.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (-.f64 #s(literal 0 binary64) N))) (neg.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 0 binary64) N)))) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) N)) (neg.f64 (.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) (/.f64 (+.f64 N #s(literal -1 binary64)) N))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) N))) (neg.f64 (.f64 (+.f64 (.f64 N N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (.f64 N (+.f64 #s(literal -1 binary64) (.f64 N N))))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (neg.f64 (.f64 N N)))
(pow.f64 N #s(literal 4 binary64))
(pow.f64 (*.f64 N N) #s(literal 2 binary64))
(pow.f64 (.f64 N (.f64 N (*.f64 N N))) #s(literal 1 binary64))
(.f64 N (.f64 N (*.f64 N N)))
(.f64 (.f64 N N) (*.f64 N N))
(.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N))))
(.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal 1 binary64))
(.f64 (.f64 N (*.f64 N N)) N)
(+.f64 (.f64 N N) (neg.f64 (.f64 N (*.f64 N N))))
(fma.f64 (.f64 N N) #s(literal 1 binary64) (neg.f64 (.f64 N (*.f64 N N))))
(fma.f64 #s(literal 1 binary64) (.f64 N N) (neg.f64 (.f64 N (*.f64 N N))))
(/.f64 (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N N)) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (*.f64 N N)) (+.f64 N #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))) (neg.f64 (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (+.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 N N))) (neg.f64 (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (*.f64 N N))) (neg.f64 (+.f64 N #s(literal 1 binary64))))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) N))
(.f64 (-.f64 #s(literal 1 binary64) N) (.f64 N N))
(.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) N)
(exp.f64 (.f64 (log.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (neg.f64 (.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))))
(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64)) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))

simplify337.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

3744×	`-lowering-.f32`
3744×	`-lowering-.f64`
1702×	`--lowering--.f32`
1702×	`--lowering--.f64`
1392×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	2801
1	489	2376
2	1423	2333
3	6275	2327
0	8361	2327

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
N
(* N (+ 1 N))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* N (+ 1 N))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* N (+ 1 N))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
(* -1 N)
(-.f64 #s(literal 0 binary64) N)
(* N (- (* -1 N) 1))
(*.f64 N (-.f64 #s(literal -1 binary64) N))
(* N (- (* N (- (* -1 N) 1)) 1))
(.f64 N (+.f64 #s(literal -1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(* N (- (* N (- (* N (- (* -1 N) 1)) 1)) 1))
(.f64 N (+.f64 #s(literal -1 binary64) (.f64 N (+.f64 #s(literal -1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) N))
(+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) N)) N))
1
#s(literal 1 binary64)
(+ 1 (/ 1 N))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) N))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) N)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) N)) N)) N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2 1 (pow N 2))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
(pow N 2)
(*.f64 N N)
N
(* N (+ 1 N))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* N (+ 1 N))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* N (+ 1 N))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
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(/ (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))) (atan2 1 (- 1 (* N (- 1 (* -1 N))))))
(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
(atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* 2 N)
(*.f64 N #s(literal 2 binary64))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* 2 N)
(*.f64 N #s(literal 2 binary64))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(* N (+ 2 (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(- (pow N 2) 1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(- (pow N 2) 1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(- (pow N 2) 1)
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(* (pow N 2) (- 1 (/ 1 (pow N 2))))
(+.f64 (*.f64 N N) #s(literal -1 binary64))
(* -1 N)
(-.f64 #s(literal 0 binary64) N)
(* N (- (pow N 2) 1))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(* N (- (pow N 2) 1))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(* N (- (pow N 2) 1))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(pow N 3)
(.f64 N (.f64 N N))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(pow N 3)
(.f64 N (.f64 N N))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64)))
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 4)
(.f64 (.f64 N (*.f64 N N)) N)
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(* (pow N 2) (+ 1 (* -1 N)))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(* -1 (pow N 3))
(-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))
(* (pow N 3) (- (/ 1 N) 1))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(* (pow N 3) (- (/ 1 N) 1))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(* (pow N 3) (- (/ 1 N) 1))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(* -1 (pow N 3))
(-.f64 #s(literal 0 binary64) (.f64 N (.f64 N N)))
(* -1 (* (pow N 3) (- 1 (/ 1 N))))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(* -1 (* (pow N 3) (- 1 (/ 1 N))))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(* -1 (* (pow N 3) (- 1 (/ 1 N))))
(.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N)))
(/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (* N (+ 1 N)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (* N (- 1 (* -1 N))))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (* N (- 1 (* -1 N))))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (* N (- 1 (* -1 N))))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(/ (atan2 1 (- 1 (* N (- 1 (* -1 N))))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (-.f64 #s(literal -1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))

eval181.0ms (2.2%)

Compiler: Compiled 36949 to 3118 computations (91.6% saved)

prune144.0ms (1.8%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1308	12	1320
Fresh	11	9	20
Picked	4	1	5
Done	0	3	3
Total	1323	25	1348

Accuracy

100.0%

Counts

1348 → 25

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) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	79.3%	(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))) #s(literal -1/2 binary64))
	73.4%	(atan2.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 N N)))
	79.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)))) N))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 N N) #s(literal 1 binary64)) N))
	96.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
	8.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
	96.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 N N) N) (+.f64 N #s(literal -1 binary64)))))
	41.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (/.f64 (-.f64 (.f64 N (.f64 (.f64 N (-.f64 #s(literal 1 binary64) N)) (.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N))))) (.f64 (.f64 N N) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (-.f64 (.f64 N (.f64 N (-.f64 #s(literal 1 binary64) N))) (.f64 N (.f64 N (.f64 N N))))))))
	48.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N (.f64 (.f64 N N) (.f64 N N)))) (.f64 (.f64 N (.f64 N N)) N))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)))))
	96.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (.f64 N N))))
	96.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N (*.f64 N N)))))
	99.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 N N))) (+.f64 N #s(literal 1 binary64))) (.f64 N (+.f64 (*.f64 N N) #s(literal -1 binary64))))))
✓	99.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	96.9%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	93.9%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	6.4%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	94.0%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	94.0%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))))
	93.9%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))))))
	93.1%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	99.4%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	99.3%	(.f64 (/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))))

Compiler

Compiled 1999 to 497 computations (75.1% saved)

regimes30.0ms (0.4%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	N
11.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.9%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
6.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	18	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness752.0ms (9.4%)

Rules

4064×	`-lowering-.f32`
4064×	`-lowering-.f64`
2676×	`/-lowering-/.f32`
2676×	`/-lowering-/.f64`
2066×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	40	16
2	293	16
3	3166	16
0	9386	16
0	56	2317
1	145	1840
2	295	1840
3	883	1840
4	4524	1840
0	8045	1840

Stop Event

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

Compiler

Compiled 83 to 46 computations (44.6% saved)

preprocess38.0ms (0.5%)

Compiler: Compiled 88 to 46 computations (47.7% saved)

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18

analyze3.0ms (0%)

sample1.9s (23.4%)

preprocess39.0ms (0.5%)

explain162.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.2%)

localize63.0ms (0.8%)

series1.0ms (0%)

rewrite324.0ms (4%)

simplify311.0ms (3.9%)

eval35.0ms (0.4%)

prune29.0ms (0.4%)

simplify152.0ms (1.9%)

localize185.0ms (2.3%)

series94.0ms (1.2%)

rewrite314.0ms (3.9%)

simplify200.0ms (2.5%)

eval492.0ms (6.1%)

prune329.0ms (4.1%)

simplify188.0ms (2.3%)

localize184.0ms (2.3%)

series20.0ms (0.3%)

rewrite338.0ms (4.2%)

simplify215.0ms (2.7%)

eval129.0ms (1.6%)

prune100.0ms (1.2%)

simplify149.0ms (1.9%)

localize256.0ms (3.2%)

series8.0ms (0.1%)

rewrite329.0ms (4.1%)

simplify337.0ms (4.2%)

eval181.0ms (2.2%)

prune144.0ms (1.8%)

regimes30.0ms (0.4%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify7.0ms (0.1%)

soundness752.0ms (9.4%)

preprocess38.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
1	11	18
2	15	18
3	22	18
4	32	18
5	64	18
6	122	18
7	210	18
8	295	18
9	401	18
10	479	18
11	485	18
0	485	18