Metrics for 2atan (example 3.5)

analyze5.0ms (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: 2.0ms

ival-atan: 1.0ms (42.6% of total)

...c/correct-round.rkt:119:19: 1.0ms (42.6% of total)

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

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

ival-and: 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)

sample3.6s (19.8%)

Results

2.3s	7348×	1	valid
284.0ms	646×	2	valid
52.0ms	262×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-atan: 710.0ms (35.1% of total)

backward-pass: 240.0ms (11.9% of total)

ival-add: 238.0ms (11.8% of total)

ival->: 237.0ms (11.7% of total)

...c/correct-round.rkt:119:19: 230.0ms (11.4% of total)

ival-sub: 207.0ms (10.2% of total)

ival-<: 85.0ms (4.2% of total)

ival-and: 55.0ms (2.7% of total)

const: 23.0ms (1.1% of total)

Bogosity

preprocess85.0ms (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)))

explain254.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
253	1	(13.711872055414617)	1	(7.274181898560017)	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	0	-	0	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(atan.f64 N)`
0	0	-	0	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	0	-	`N`

Results

167.0ms	456×	1	valid
14.0ms	30×	2	valid
4.0ms	26×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-atan: 44.0ms (41.5% of total)

ival-sub: 30.0ms (28.3% of total)

backward-pass: 18.0ms (17% of total)

ival-add: 13.0ms (12.2% of total)

const: 2.0ms (1.9% of total)

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.4%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify34.0ms (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)

localize109.0ms (0.6%)

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	9.4%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

77.0ms	228×	1	valid
8.0ms	15×	2	valid
2.0ms	13×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-atan: 21.0ms (46.7% of total)

backward-pass: 10.0ms (22.2% of total)

ival-sub: 7.0ms (15.6% of total)

ival-add: 6.0ms (13.3% of total)

const: 1.0ms (2.2% of total)

series3.0ms (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
1.0ms	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)

rewrite780.0ms (4.2%)

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	290	16
3	3148	16
0	9280	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))))))))))
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(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 N (.f64 N N)))) (-.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) N))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))))) (.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))) (-.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))))))
(/.f64 (-.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))) #s(literal -1 binary64)) (.f64 (+.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 N (.f64 N N)) (.f64 N (.f64 N N))) #s(literal -1 binary64)) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (.f64 (.f64 N N) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N)))))
(/.f64 (+.f64 (.f64 (.f64 N N) (.f64 N N)) #s(literal -1 binary64)) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.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 (.f64 N N) (.f64 N N)) (+.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 N 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) (neg.f64 (.f64 N (.f64 N N))))) (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 #s(literal 1 binary64) N) (.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 (.f64 N N) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 N 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) (neg.f64 (.f64 N (.f64 N N)))) (/.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 (.f64 N 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 (.f64 N N) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N)))))
(.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 (.f64 (.f64 N 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))

simplify82.0ms (0.4%)

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)

eval86.0ms (0.5%)

Compiler: Compiled 7767 to 751 computations (90.3% saved)

prune78.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	229	10	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	10	240

Accuracy

99.8%

Counts

240 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(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))
▶	99.6%	(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)))))))
	99.4%	(.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))))))))
▶	99.4%	(.f64 (/.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)))))) (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 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))
▶	99.5%	(.f64 (/.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 #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)))))))
	99.4%	(.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))))))))))
	92.1%	(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 720 to 258 computations (64.2% saved)

simplify423.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	cost-diff	0	(/.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	6592	(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 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64))
✓	cost-diff	21184	(.f64 (/.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)))))) (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 (+.f64 N (+.f64 N #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 (+.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 #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	14592	(.f64 (/.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 #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 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)))))
✓	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 #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	6592	(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))

Rules

2226×	`fnmadd-define`
1864×	`sum5-define`
1526×	`fmsub-define`
1484×	`fma-lowering-fma.f32`
1484×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	424
1	56	346
2	127	346
3	253	346
4	559	346
5	1263	346
6	2482	346
7	3876	346
8	6507	346
0	8415	346

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize457.0ms (2.5%)

Localize:

Found 20 expressions of interest:

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

Results

220.0ms

256×

valid

Compiler

Compiled 503 to 21 computations (95.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 20.0ms (25.7% of total)

ival-pow: 19.0ms (24.4% of total)

ival-div: 16.0ms (20.6% of total)

ival-atan2: 9.0ms (11.6% of total)

ival-add: 9.0ms (11.6% of total)

ival-sub: 3.0ms (3.9% of total)

const: 1.0ms (1.3% of total)

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

series61.0ms (0.3%)

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (pow (/ 1 (atan2 1 (+ 1 (* N (+ N 1))))) -1)>
#<alt (/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))>
#<alt (atan2 1 (+ 1 (* N (+ N 1))))>
#<alt (+ 1 (* N (+ N 1)))>
#<alt (* N (+ N 1))>
#<alt (+ 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 (* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (* (/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))) (pow (/ 1 (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))) -1))>
#<alt (pow (/ 1 (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))) -1)>
#<alt (/ (atan2 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 (/ 1 (* (atan2 1 (+ 1 (* N (+ N 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 (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 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 (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 (/ 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))))))>
#<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 (* (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 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (* N (+ 1 N))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))))>
#<alt (/ 1 (* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- 1 (* N (- 1 (* -1 N)))))))>

Calls

48 calls:

Time	Variable		Point	Expression
20.0ms	N	@	-inf	(/ 1 (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
3.0ms	N	@	-inf	(/ 1 (atan2 1 (+ 1 (* N (+ N 1)))))
2.0ms	N	@	inf	(+ N (+ N 1))
2.0ms	N	@	inf	(/ 1 (* (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))
2.0ms	N	@	inf	(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))

rewrite927.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4036×	`-lowering-.f32`
4036×	`-lowering-.f64`
3944×	`/-lowering-/.f32`
3944×	`/-lowering-/.f64`
1870×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	216
1	126	170
2	876	170
0	8545	170

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 897

Calls

Call 1

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

simplify577.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1572×	`-lowering-.f32`
1572×	`-lowering-.f64`
1494×	`/-lowering-/.f32`
1494×	`/-lowering-/.f64`
1446×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	2329
1	136	2006
2	277	2006
3	856	2006
4	4486	2006
0	8082	2006

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

eval1.4s (7.5%)

Compiler: Compiled 174211 to 6267 computations (96.4% saved)

prune994.0ms (5.4%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	3729	20	3749
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	3736	23	3759

Accuracy

99.9%

Counts

3759 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(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))
	99.2%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
	54.7%	(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal 3 binary64)) (.f64 N (.f64 N N))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)))))
	54.8%	(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 N N)) 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)))))
	81.7%	(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)))))
	99.4%	(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)))))
	99.3%	(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))))))
▶	81.6%	(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 #s(literal 1 binary64) (+.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 (-.f64 (pow.f64 (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.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))))))))))
	54.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (/.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 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))))
	99.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))))))
	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	95.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
	92.3%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
▶	6.5%	(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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
▶	92.4%	(.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)))))))
	99.4%	(.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))))))))
	92.3%	(.f64 (/.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)))))) (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 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))
	92.4%	(.f64 (/.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 #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)))))))

Compiler

Compiled 1116 to 473 computations (57.6% saved)

simplify395.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2026×	`-lowering-.f32`
2026×	`-lowering-.f64`
1366×	`+-lowering-+.f64`
1366×	`+-lowering-+.f32`
1360×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	273
1	84	256
2	178	247
3	459	237
4	1278	237
5	6697	237
0	8340	237

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize377.0ms (2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.4%	(/.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))))))
✓	accuracy	99.4%	(.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)))))))
✓	accuracy	99.6%	(.f64 N (.f64 N N))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
✓	accuracy	99.6%	(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 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))))
✓	accuracy	81.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
✓	accuracy	99.6%	(.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N)
✓	accuracy	99.6%	(/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))
✓	accuracy	99.6%	(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	100.0%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 N N))
✓	accuracy	99.9%	(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
✓	accuracy	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))

Results

247.0ms

256×

valid

Compiler

Compiled 312 to 34 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-add: 35.0ms (29.6% of total)

ival-mult: 35.0ms (29.6% of total)

ival-atan2: 29.0ms (24.5% of total)

ival-div: 12.0ms (10.1% of total)

ival-sub: 6.0ms (5.1% of total)

const: 1.0ms (0.8% of total)

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

series64.0ms (0.3%)

Counts

22 → 252

Calls

Call 1

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

Calls

63 calls:

Time	Variable		Point	Expression
13.0ms	N	@	0	(* N N)
13.0ms	N	@	0	(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1)))))
2.0ms	N	@	inf	(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))
2.0ms	N	@	-inf	(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))
2.0ms	N	@	0	(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 1 (- 1 (* N (+ N 1))))))

rewrite889.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4022×	`-lowering-.f32`
4022×	`-lowering-.f64`
3312×	`/-lowering-/.f32`
3312×	`/-lowering-/.f64`
1818×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	183
1	221	159
2	2148	159
0	8884	159

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 735

Calls

Call 1

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

Outputs
(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 (.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N N))
(fma.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))
(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 #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 N (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) #s(literal 1 binary64))
(fma.f64 (.f64 N (+.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))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 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 #s(literal 0 binary64) (.f64 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 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 (.f64 N N) #s(literal -1 binary64))))) N)
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 (.f64 N N) #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) N)
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N))) (neg.f64 (-.f64 #s(literal 0 binary64) N)))
(fma.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (+.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (/.f64 N (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) N #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 N N) #s(literal -1 binary64))) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (-.f64 #s(literal 1 binary64) N) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) (+.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)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (-.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (+.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 N (.f64 N N)))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(fma.f64 (/.f64 (.f64 N (+.f64 (.f64 N N) #s(literal -1 binary64))) (+.f64 (*.f64 N N) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (.f64 (.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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N (-.f64 N (+.f64 #s(literal 1 binary64) (.f64 N N))))) (+.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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 #s(literal 1 binary64) (.f64 (.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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N (-.f64 N (+.f64 #s(literal 1 binary64) (.f64 N N))))) (+.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))))))
(/.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N (-.f64 N (+.f64 #s(literal 1 binary64) (.f64 N N))))))
(/.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))))) (+.f64 (.f64 N N) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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 #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 (+.f64 #s(literal 1 binary64) (.f64 (.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 (.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 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (.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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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)))))) (neg.f64 (+.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 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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)))))) (neg.f64 (+.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 (neg.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N)))))) (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N (-.f64 N (+.f64 #s(literal 1 binary64) (.f64 N N)))))))
(/.f64 (neg.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N)))))) (neg.f64 (+.f64 (.f64 N N) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))))
(/.f64 (+.f64 (.f64 (.f64 N N) (.f64 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 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))) (-.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N)))) (-.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))) (.f64 (-.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 (-.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 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) (.f64 N N))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.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))))))) (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (+.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))))))) (neg.f64 (neg.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N (-.f64 N (+.f64 #s(literal 1 binary64) (.f64 N N))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))))) (neg.f64 (-.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 N N) (.f64 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))))) (neg.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) (-.f64 (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (-.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))
(pow.f64 (/.f64 (+.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 #s(literal 1 binary64) (.f64 (.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)))))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (.f64 N (-.f64 N (+.f64 #s(literal 1 binary64) (.f64 N N))))) (+.f64 (.f64 N (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N)))))) #s(literal -1 binary64))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))) (-.f64 #s(literal 1 binary64) (.f64 (.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 #s(literal 1 binary64) (.f64 (.f64 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 (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (+.f64 (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N)))) (.f64 (-.f64 #s(literal 1 binary64) N) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))))) (+.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 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (-.f64 (.f64 N (.f64 N (.f64 N N))) (.f64 (+.f64 N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64))))) (+.f64 (+.f64 (*.f64 N N) #s(literal -1 binary64)) N))

simplify595.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4122×	`-lowering-.f32`
4122×	`-lowering-.f64`
2016×	`+-lowering-+.f64`
2016×	`+-lowering-+.f32`
1428×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	2225
1	349	1875
2	863	1865
3	3368	1862
0	8371	1862

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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

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

eval423.0ms (2.3%)

Compiler: Compiled 34947 to 2312 computations (93.4% saved)

prune275.0ms (1.5%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1178	13	1191
Fresh	7	10	17
Picked	3	2	5
Done	0	1	1
Total	1188	26	1214

Accuracy

100.0%

Counts

1214 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(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))
	99.2%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
	54.7%	(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal 3 binary64)) (.f64 N (.f64 N N))) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N N))) (-.f64 (.f64 N N) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)))))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
	95.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
	67.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (+.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal -1 binary64)) N) (+.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal -1 binary64)))))
▶	95.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N N)) (+.f64 N #s(literal -1 binary64)))))
	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)))))
	99.4%	(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)))))
	49.2%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N (.f64 N (.f64 N N))))) N) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) (+.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 N (+.f64 N #s(literal -1 binary64))) (+.f64 (.f64 N N) #s(literal -1 binary64)))))
	99.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
	99.3%	(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))))))
▶	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 (.f64 N N) N))) (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N)))) N)))
	74.4%	(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 #s(literal 1 binary64) (*.f64 N N)))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 N N) (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.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))))))))))
	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	95.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
▶	92.3%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	6.5%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	92.4%	(/.f64 (.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) N)) (-.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)))))
	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))))))
▶	92.6%	(.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 N N)) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
	92.3%	(.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 #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)))))))
	92.4%	(.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 #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)))))))
	92.3%	(.f64 (/.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)))))) (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 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))

Compiler

Compiled 1166 to 532 computations (54.4% saved)

simplify441.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1906×	`-lowering-.f32`
1906×	`-lowering-.f64`
1682×	`fnmsub-define`
1412×	`+-lowering-+.f64`
1412×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	298
1	92	281
2	241	279
3	590	255
4	1429	255
5	6021	255
0	8179	255

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

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

localize443.0ms (2.4%)

Localize:

Found 18 expressions of interest:

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

Results

287.0ms	254×	0	valid
13.0ms	2×	5	exit

Compiler

Compiled 331 to 32 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-add: 34.0ms (28.4% of total)

ival-mult: 33.0ms (27.5% of total)

ival-atan2: 26.0ms (21.7% of total)

ival-div: 17.0ms (14.2% of total)

ival-sub: 7.0ms (5.8% of total)

backward-pass: 2.0ms (1.7% of total)

const: 1.0ms (0.8% of total)

series30.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
6.0ms	N	@	-inf	(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (* N N)) (atan2 1 (- 1 (* N (+ N 1))))))
3.0ms	N	@	inf	(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (* N N)) (atan2 1 (- 1 (* N (+ N 1))))))
2.0ms	N	@	0	(/ (atan2 1 (* N N)) (atan2 1 (- 1 (* N (+ N 1)))))
2.0ms	N	@	0	(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (* N N)) (atan2 1 (- 1 (* N (+ N 1))))))
2.0ms	N	@	inf	(/ (atan2 1 (* N N)) (atan2 1 (- 1 (* N (+ N 1)))))

rewrite980.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3946×	`-lowering-.f32`
3946×	`-lowering-.f64`
2588×	`/-lowering-/.f32`
2588×	`/-lowering-/.f64`
2472×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	217
1	222	153
2	2300	153
0	10446	153

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 702

Calls

Call 1

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

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

simplify664.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3584×	`-lowering-.f32`
3584×	`-lowering-.f64`
2118×	`--lowering--.f32`
2118×	`--lowering--.f64`
1474×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	2262
1	454	1961
2	1276	1916
3	5733	1912
0	8186	1912

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval504.0ms (2.7%)

Compiler: Compiled 41719 to 3180 computations (92.4% saved)

prune390.0ms (2.1%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1328	13	1341
Fresh	9	9	18
Picked	3	2	5
Done	0	3	3
Total	1340	27	1367

Accuracy

100.0%

Counts

1367 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(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))
	99.2%	(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
✓	99.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
	95.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
	95.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 N #s(literal -1 binary64)))))
✓	95.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 N (.f64 N N)) (+.f64 N #s(literal -1 binary64)))))
	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)))))
	95.6%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.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 (.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))) N)))
	95.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (.f64 N N))))
	99.3%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
	95.5%	(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 #s(literal 1 binary64) (.f64 N (.f64 N N))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) N))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) N) (+.f64 (*.f64 N N) #s(literal -1 binary64)))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) N)))
	92.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N)))) N)))
	74.4%	(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 #s(literal 1 binary64) (*.f64 N N)))))
	8.1%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
	95.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	92.3%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	6.5%	(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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
	92.6%	(/.f64 (.f64 (atan2.f64 #s(literal 1 binary64) (.f64 N 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.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	92.4%	(.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 N N)) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
	92.5%	(.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 N N)))))
	92.5%	(.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 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)))))))
	92.3%	(.f64 (/.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)))))) (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 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))) #s(literal -1 binary64)))

Compiler

Compiled 1914 to 519 computations (72.9% saved)

regimes52.0ms (0.3%)

Counts

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

Calls

2 calls:

23.0ms	N
18.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes29.0ms (0.2%)

Counts

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

13.0ms	N
11.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Counts

5 → 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 (+.f64 #s(literal 1 binary64) N)))
(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:

4.0ms

Results

Accuracy	Segments	Branch
95.7%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 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))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
92.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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:

2.0ms

Results

Accuracy	Segments	Branch
6.5%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify15.0ms (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	15	37
1	21	37

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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))
(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
(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) (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 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))

soundness1.7s (9.3%)

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	53	2329
1	136	2006
2	277	2006
3	856	2006
4	4486	2006
0	8082	2006
0	6	16
1	40	16
2	290	16
3	3148	16
0	9280	16

Stop Event

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

Compiler

Compiled 97 to 50 computations (48.5% saved)

preprocess157.0ms (0.9%)

Compiler: Compiled 114 to 52 computations (54.4% 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

analyze5.0ms (0%)

sample3.6s (19.8%)

preprocess85.0ms (0.5%)

explain254.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify34.0ms (0.2%)

localize109.0ms (0.6%)

series3.0ms (0%)

rewrite780.0ms (4.2%)

simplify82.0ms (0.4%)

eval86.0ms (0.5%)

prune78.0ms (0.4%)

simplify423.0ms (2.3%)

localize457.0ms (2.5%)

series61.0ms (0.3%)

rewrite927.0ms (5%)

simplify577.0ms (3.1%)

eval1.4s (7.5%)

prune994.0ms (5.4%)

simplify395.0ms (2.1%)

localize377.0ms (2%)

series64.0ms (0.3%)

rewrite889.0ms (4.8%)

simplify595.0ms (3.2%)

eval423.0ms (2.3%)

prune275.0ms (1.5%)

simplify441.0ms (2.4%)

localize443.0ms (2.4%)

series30.0ms (0.2%)

rewrite980.0ms (5.3%)

simplify664.0ms (3.6%)

eval504.0ms (2.7%)

prune390.0ms (2.1%)

regimes52.0ms (0.3%)

regimes29.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify15.0ms (0.1%)

soundness1.7s (9.3%)

preprocess157.0ms (0.9%)

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