Metrics for 2atan (example 3.5)

analyze5.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

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

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

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

sample1.8s (19%)

Results

1.2s	7369×	1	valid
277.0ms	619×	2	valid
24.0ms	268×	0	valid

Precisions

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

ival-atan: 351.0ms (33.7% of total)

ival-add: 149.0ms (14.3% of total)

backward-pass: 148.0ms (14.2% of total)

...c/correct-round.rkt:119:19: 132.0ms (12.7% of total)

ival-sub: 97.0ms (9.3% of total)

ival->: 86.0ms (8.2% of total)

ival-<: 39.0ms (3.7% of total)

ival-and: 25.0ms (2.4% of total)

const: 14.0ms (1.3% of total)

Bogosity

preprocess38.0ms (0.4%)

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)))

explain113.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
252	1	(7.928170412383391)	-	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
0	0	-	-	`(atan.f64 (+.f64 N #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(atan.f64 N)`
0	0	-	-	`(+.f64 N #s(literal 1 binary64))`
0	0	-	-	`N`

Results

71.0ms	466×	1	valid
8.0ms	30×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

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

ival-atan: 21.0ms (46.6% of total)

backward-pass: 11.0ms (24.4% of total)

ival-add: 7.0ms (15.5% of total)

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

const: 1.0ms (2.2% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.1%)

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)

localize52.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(atan.f64 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	100.0%	(atan.f64 N)
✓	accuracy	8.0%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

37.0ms	233×	1	valid
4.0ms	15×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-atan: 13.0ms (54.3% of total)

backward-pass: 4.0ms (16.7% of total)

ival-sub: 3.0ms (12.5% of total)

ival-add: 3.0ms (12.5% of total)

const: 1.0ms (4.2% of total)

series1.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- (atan (+ N 1)) (atan N))>
#<alt (atan (+ N 1))>
#<alt (+ N 1)>
#<alt (atan N)>

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

Calls

12 calls:

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

rewrite319.0ms (3.3%)

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

simplify36.0ms (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)

eval34.0ms (0.4%)

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

prune32.0ms (0.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	228	11	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	229	11	240

Accuracy

99.7%

Counts

240 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.9%	(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))))))))))
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	99.4%	(/.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))))))
▶	18.8%	(-.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))))))
▶	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 (+.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))))))))
	99.2%	(.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))))))))
▶	99.2%	(.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)))
▶	99.3%	(.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)))))) (.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)))))))
	99.3%	(.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))))))))))
	91.8%	(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 944 to 316 computations (66.5% saved)

simplify165.0ms (1.7%)

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	256	(-.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	256	(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	256	(-.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))))))
✓	cost-diff	0	(+.f64 N #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 N (+.f64 N #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))

Rules

1990×	`fnmadd-define`
1908×	`fma-lowering-fma.f32`
1908×	`fma-lowering-fma.f64`
1606×	`fmsub-define`
1532×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	405
1	62	339
2	150	339
3	288	339
4	608	339
5	1340	339
6	2699	339
7	4233	339
8	6082	339
0	8163	339

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan2 1 (+ 1 (* N (+ N 1))))
1
(+ 1 (* N (+ N 1)))
(* N (+ N 1))
N
(+ N 1)
(- 0 (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))
0
(atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1))))
(- N (+ N 1))
N
(+ N 1)
1
(+ 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
(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)
(- 0 (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))
(-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
0
#s(literal 0 binary64)
(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))))
(- N (+ N 1))
#s(literal -1 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 (+ 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 #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))))))
(* (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)

localize234.0ms (2.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(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	99.5%	(.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.3%	(.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 (+.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	99.9%	(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.5%	(.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	99.3%	(.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)))))) (.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 (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.5%	(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	accuracy	99.5%	(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	100.0%	(*.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.5%	(atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
✓	accuracy	17.9%	(-.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 N #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 N (+.f64 N #s(literal 1 binary64)))
✓	accuracy	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))

Results

124.0ms	175×	1	valid
28.0ms	81×	0	valid

Compiler

Compiled 503 to 23 computations (95.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 18.0ms (24.7% of total)

backward-pass: 12.0ms (16.5% of total)

ival-atan2: 11.0ms (15.1% of total)

ival-add: 8.0ms (11% of total)

ival-div: 8.0ms (11% of total)

ival-pow: 8.0ms (11% of total)

ival-sub: 6.0ms (8.2% of total)

const: 1.0ms (1.4% of total)

series13.0ms (0.1%)

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (atan2 1 (+ 1 (* N (+ N 1))))>
#<alt (+ 1 (* N (+ N 1)))>
#<alt (* N (+ N 1))>
#<alt (+ N 1)>
#<alt (- 0 (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1)))))>
#<alt (atan2 (- N (+ N 1)) (+ 1 (* N (+ N 1))))>
#<alt (- N (+ N 1))>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))>
#<alt (+ N (+ N 1))>
#<alt (* (/ 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)))))>

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

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	N	@	0	(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
1.0ms	N	@	inf	(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
1.0ms	N	@	inf	(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
1.0ms	N	@	-inf	(/ (atan2 1 (+ 1 (* N (+ N 1)))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
1.0ms	N	@	-inf	(/ 1 (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))

rewrite328.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2814×	`-lowering-.f32`
2814×	`-lowering-.f64`
2666×	`/-lowering-/.f32`
2666×	`/-lowering-/.f64`
1992×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	190
1	138	150
2	1078	132
0	9422	132

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 964

Calls

Call 1

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

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

simplify239.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1576×	`-lowering-.f32`
1576×	`-lowering-.f64`
1486×	`/-lowering-/.f32`
1486×	`/-lowering-/.f64`
1448×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	2053
1	133	1766
2	270	1766
3	851	1766
4	4503	1766
0	8103	1766

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

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

eval1.6s (16.8%)

Compiler: Compiled 483863 to 16596 computations (96.6% saved)

prune999.0ms (10.4%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	7843	31	7874
Fresh	5	1	6
Picked	4	1	5
Done	0	0	0
Total	7852	33	7885

Accuracy

100.0%

Counts

7885 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
	79.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 N N) (.f64 (.f64 N (.f64 N N)) N)) (-.f64 N (*.f64 N N)))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N) (+.f64 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)))))
	73.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) 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))))))
▶	73.8%	(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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
▶	99.3%	(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))))))))))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	44.5%	(atan2.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N (+.f64 #s(literal 1 binary64) N)) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (.f64 N 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)))))))
	96.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
	93.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
▶	6.3%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	81.6%	(/.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)) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.4%	(/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
▶	99.4%	(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.3%	(/.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 #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))))))
	81.5%	(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 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)))))))
	93.1%	(.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 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)))
	93.1%	(.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 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)))))))
	51.7%	(.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (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)))))
	99.0%	(.f64 (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 -1/2 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 -1/2 binary64)))
	34.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (/.f64 (-.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (+.f64 (.f64 N N) #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N))) (.f64 (+.f64 N #s(literal -1 binary64)) (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	44.5%	(.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 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) N) (.f64 N (.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	96.7%	(.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 N)))))
	93.6%	(.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 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	99.4%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.3%	(.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 #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)))))))
	99.2%	(.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))))))))
	93.7%	(.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 #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)))))))
	99.3%	(.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 (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))))))

Compiler

Compiled 1986 to 842 computations (57.6% saved)

simplify214.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	13312	(/.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)))))))
✓	cost-diff	13440	(.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))))))))
✓	cost-diff	13440	(+.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)))))))))
✓	cost-diff	13440	(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))))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	14080	(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	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 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
✓	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

3770×	`-lowering-.f32`
3770×	`-lowering-.f64`
2188×	`fma-lowering-fma.f32`
2188×	`fma-lowering-fma.f64`
1782×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	546
1	118	513
2	314	476
3	1040	415
4	3050	414
5	7705	414
0	8048	414

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

localize296.0ms (3.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.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)))))))
✓	accuracy	99.5%	(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))))))))))
✓	accuracy	99.1%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
✓	accuracy	98.9%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.6%	(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.4%	(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	accuracy	99.5%	(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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
✓	accuracy	99.5%	(.f64 N (.f64 N N))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	79.9%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	100.0%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 N N))
✓	accuracy	99.9%	(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
✓	accuracy	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))

Results

182.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 656 to 41 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 15.0ms (23.9% of total)

ival-div: 14.0ms (22.3% of total)

ival-add: 12.0ms (19.1% of total)

ival-atan2: 10.0ms (16% of total)

ival-pow: 8.0ms (12.8% of total)

ival-sub: 3.0ms (4.8% of total)

const: 1.0ms (1.6% of total)

backward-pass: 1.0ms (1.6% of total)

series27.0ms (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 (* (* (+ 1 (* N (* N N))) N) (/ 1 (+ 1 (* N (+ 1 N)))))))>
#<alt (+ 1 (* (* (+ 1 (* N (* N N))) N) (/ 1 (+ 1 (* N (+ 1 N))))))>
#<alt (* (* (+ 1 (* N (* N N))) N) (/ 1 (+ 1 (* N (+ 1 N)))))>
#<alt (* (+ 1 (* N (* N N))) N)>
#<alt (/ (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N))))) (/ 1 (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))))>
#<alt (+ 1 (* N (+ 1 N)))>
#<alt (atan2 1 (+ 1 (* N (/ (- (pow (/ (* N N) (+ N -1)) 3) (pow (/ 1 (+ N -1)) 3)) (+ (* (/ (* N N) (+ N -1)) (/ (* N N) (+ N -1))) (+ (* (/ 1 (+ N -1)) (/ 1 (+ N -1))) (* (/ (* N N) (+ N -1)) (/ 1 (+ N -1)))))))))>
#<alt (+ 1 (* N (/ (- (pow (/ (* N N) (+ N -1)) 3) (pow (/ 1 (+ N -1)) 3)) (+ (* (/ (* N N) (+ N -1)) (/ (* N N) (+ N -1))) (+ (* (/ 1 (+ N -1)) (/ 1 (+ N -1))) (* (/ (* N N) (+ N -1)) (/ 1 (+ N -1))))))))>
#<alt (* N (/ (- (pow (/ (* N N) (+ N -1)) 3) (pow (/ 1 (+ N -1)) 3)) (+ (* (/ (* N N) (+ N -1)) (/ (* N N) (+ N -1))) (+ (* (/ 1 (+ N -1)) (/ 1 (+ N -1))) (* (/ (* N N) (+ N -1)) (/ 1 (+ N -1)))))))>
#<alt (/ (- (pow (/ (* N N) (+ N -1)) 3) (pow (/ 1 (+ N -1)) 3)) (+ (* (/ (* N N) (+ N -1)) (/ (* N N) (+ N -1))) (+ (* (/ 1 (+ N -1)) (/ 1 (+ N -1))) (* (/ (* N N) (+ N -1)) (/ 1 (+ N -1))))))>
#<alt (/ 1 (+ 1 (* N (+ 1 N))))>
#<alt (* N (* N N))>
#<alt (/ 1 (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (pow (/ 1 (+ N -1)) 3)>
#<alt (* (/ 1 (+ N -1)) (/ 1 (+ 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 (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))>
#<alt (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))>
#<alt (atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))>
#<alt (atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))>
#<alt (atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))>
#<alt (atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))>
#<alt 1>
#<alt (+ 1 N)>
#<alt (+ 1 (* N (+ 1 (* -1 N))))>
#<alt (+ 1 (* N (+ 1 (* N (- (* 2 (pow N 2)) 1)))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))>
#<alt (* (pow N 2) (- (+ 1 (+ (/ 1 (pow N 2)) (* 2 (/ 1 (pow N 3))))) (/ 1 N)))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) N))) N))))>
#<alt N>
#<alt (* N (+ 1 (* -1 N)))>
#<alt (* N (+ 1 (* N (- (* 2 (pow N 2)) 1))))>
#<alt (* N (+ 1 (* N (- (* (pow N 2) (+ 2 (* -2 N))) 1))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))>
#<alt (* (pow N 2) (- (+ 1 (/ 2 (pow N 3))) (+ (/ 1 N) (* 2 (/ 1 (pow N 4))))))>
#<alt (pow N 2)>
#<alt (* (pow N 2) (- 1 (/ 1 N)))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))>
#<alt (* (pow N 2) (+ 1 (* -1 (/ (- (+ 1 (/ 2 (pow N 3))) (* 2 (/ 1 (pow N 2)))) 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))))>
#<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 (- 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)))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (/ (pow N 6) (pow (- N 1) 3)) (/ 1 (pow (- N 1) 3)))) (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (/ (pow N 6) (pow (- N 1) 3)) (/ 1 (pow (- N 1) 3)))) (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (/ (pow N 6) (pow (- N 1) 3)) (/ 1 (pow (- N 1) 3)))) (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (/ (pow N 6) (pow (- N 1) 3)) (/ 1 (pow (- N 1) 3)))) (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 7) (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))) (/ N (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 7) (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))) (/ N (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 7) (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))) (/ N (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))))>
#<alt (atan2 1 (- (+ 1 (/ (pow N 7) (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))) (/ N (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (/ 1 (pow (+ 1 (* -1 N)) 3)) (/ (pow N 6) (pow (+ 1 (* -1 N)) 3)))) (+ (/ 1 (pow (+ 1 (* -1 N)) 2)) (+ (/ (pow N 2) (pow (+ 1 (* -1 N)) 2)) (/ (pow N 4) (pow (+ 1 (* -1 N)) 2)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (/ 1 (pow (+ 1 (* -1 N)) 3)) (/ (pow N 6) (pow (+ 1 (* -1 N)) 3)))) (+ (/ 1 (pow (+ 1 (* -1 N)) 2)) (+ (/ (pow N 2) (pow (+ 1 (* -1 N)) 2)) (/ (pow N 4) (pow (+ 1 (* -1 N)) 2)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (/ 1 (pow (+ 1 (* -1 N)) 3)) (/ (pow N 6) (pow (+ 1 (* -1 N)) 3)))) (+ (/ 1 (pow (+ 1 (* -1 N)) 2)) (+ (/ (pow N 2) (pow (+ 1 (* -1 N)) 2)) (/ (pow N 4) (pow (+ 1 (* -1 N)) 2)))))))>
#<alt (atan2 1 (+ 1 (/ (* N (- (/ 1 (pow (+ 1 (* -1 N)) 3)) (/ (pow N 6) (pow (+ 1 (* -1 N)) 3)))) (+ (/ 1 (pow (+ 1 (* -1 N)) 2)) (+ (/ (pow N 2) (pow (+ 1 (* -1 N)) 2)) (/ (pow N 4) (pow (+ 1 (* -1 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 1>
#<alt (+ 1 (* -1 N))>
#<alt (+ 1 (* N (- (pow N 2) 1)))>
#<alt (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))>
#<alt (/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (- 1 (/ 1 N)) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) 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 (/ 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 -1>
#<alt (- (* -3 N) 1)>
#<alt (- (* N (- (* -6 N) 3)) 1)>
#<alt (- (* N (- (* N (- (* -10 N) 6)) 3)) 1)>
#<alt (/ 1 (pow N 3))>
#<alt (/ (+ 1 (* 3 (/ 1 N))) (pow N 3))>
#<alt (/ (+ 1 (+ (* 3 (/ 1 N)) (/ 6 (pow N 2)))) (pow N 3))>
#<alt (/ (+ 1 (+ (* 3 (/ 1 N)) (+ (* 10 (/ 1 (pow N 3))) (/ 6 (pow N 2))))) (pow N 3))>
#<alt (/ 1 (pow N 3))>
#<alt (/ (+ 1 (* 3 (/ 1 N))) (pow N 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3 (* 6 (/ 1 N))) N)) 1) (pow N 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3 (+ (* 6 (/ 1 N)) (/ 10 (pow N 2)))) N)) 1) (pow N 3)))>
#<alt 1>
#<alt (+ 1 (* 2 N))>
#<alt (+ 1 (* N (+ 2 (* 3 N))))>
#<alt (+ 1 (* N (+ 2 (* N (+ 3 (* 4 N))))))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (* 2 (/ 1 N))) (pow N 2))>
#<alt (/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) (pow N 2))>
#<alt (/ (+ 1 (+ (* 2 (/ 1 N)) (+ (* 4 (/ 1 (pow N 3))) (/ 3 (pow N 2))))) (pow N 2))>
#<alt (/ 1 (pow N 2))>
#<alt (/ (+ 1 (* 2 (/ 1 N))) (pow N 2))>
#<alt (/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) (pow N 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 N))) N)) 2) N))) (pow N 2))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	(+ 1 (* N (/ (- (pow (/ (* N N) (+ N -1)) 3) (pow (/ 1 (+ N -1)) 3)) (+ (* (/ (* N N) (+ N -1)) (/ (* N N) (+ N -1))) (+ (* (/ 1 (+ N -1)) (/ 1 (+ N -1))) (* (/ (* N N) (+ N -1)) (/ 1 (+ N -1))))))))
3.0ms	N	@	0	(/ 1 (+ 1 (* N (+ 1 N))))
2.0ms	N	@	-inf	(+ 1 (* (* (+ 1 (* N (* N N))) N) (/ 1 (+ 1 (* N (+ 1 N))))))
1.0ms	N	@	inf	(* N (/ (- (pow (/ (* N N) (+ N -1)) 3) (pow (/ 1 (+ N -1)) 3)) (+ (* (/ (* N N) (+ N -1)) (/ (* N N) (+ N -1))) (+ (* (/ 1 (+ N -1)) (/ 1 (+ N -1))) (* (/ (* N N) (+ N -1)) (/ 1 (+ N -1)))))))
1.0ms	N	@	0	(* N (/ (- (pow (/ (* N N) (+ N -1)) 3) (pow (/ 1 (+ N -1)) 3)) (+ (* (/ (* N N) (+ N -1)) (/ (* N N) (+ N -1))) (+ (* (/ 1 (+ N -1)) (/ 1 (+ N -1))) (* (/ (* N N) (+ N -1)) (/ 1 (+ N -1)))))))

rewrite340.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3118×	`-lowering-.f32`
3118×	`-lowering-.f64`
2166×	`fma-lowering-fma.f32`
2166×	`fma-lowering-fma.f64`
1730×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	283
1	298	162
2	3405	162
0	8249	162

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 614

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

simplify274.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

6404×	`-lowering-.f32`
6404×	`-lowering-.f64`
2196×	`+-lowering-+.f64`
2196×	`+-lowering-+.f32`
1450×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2721
1	727	2448
2	2069	2405
0	8378	2405

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 (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))
(atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))
(atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))
(atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))
(atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))
1
(+ 1 N)
(+ 1 (* N (+ 1 (* -1 N))))
(+ 1 (* N (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
(pow N 2)
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(* (pow N 2) (- (+ 1 (+ (/ 1 (pow N 2)) (* 2 (/ 1 (pow N 3))))) (/ 1 N)))
(pow N 2)
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(* (pow N 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) N))) N))))
N
(* N (+ 1 (* -1 N)))
(* N (+ 1 (* N (- (* 2 (pow N 2)) 1))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 2 (* -2 N))) 1))))
(pow N 2)
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))
(* (pow N 2) (- (+ 1 (/ 2 (pow N 3))) (+ (/ 1 N) (* 2 (/ 1 (pow N 4))))))
(pow N 2)
(* (pow N 2) (- 1 (/ 1 N)))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (+ 1 (/ 2 (pow N 3))) (* 2 (/ 1 (pow N 2)))) 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 (+ 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 (- 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)))))
(atan2 1 (+ 1 (/ (* N (- (/ (pow N 6) (pow (- N 1) 3)) (/ 1 (pow (- N 1) 3)))) (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))))))
(atan2 1 (+ 1 (/ (* N (- (/ (pow N 6) (pow (- N 1) 3)) (/ 1 (pow (- N 1) 3)))) (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))))))
(atan2 1 (+ 1 (/ (* N (- (/ (pow N 6) (pow (- N 1) 3)) (/ 1 (pow (- N 1) 3)))) (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))))))
(atan2 1 (+ 1 (/ (* N (- (/ (pow N 6) (pow (- N 1) 3)) (/ 1 (pow (- N 1) 3)))) (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))))))
(atan2 1 (- (+ 1 (/ (pow N 7) (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))) (/ N (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))))
(atan2 1 (- (+ 1 (/ (pow N 7) (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))) (/ N (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))))
(atan2 1 (- (+ 1 (/ (pow N 7) (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))) (/ N (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))))
(atan2 1 (- (+ 1 (/ (pow N 7) (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))) (/ N (* (+ (/ 1 (pow (- N 1) 2)) (+ (/ (pow N 2) (pow (- N 1) 2)) (/ (pow N 4) (pow (- N 1) 2)))) (pow (- N 1) 3)))))
(atan2 1 (+ 1 (/ (* N (- (/ 1 (pow (+ 1 (* -1 N)) 3)) (/ (pow N 6) (pow (+ 1 (* -1 N)) 3)))) (+ (/ 1 (pow (+ 1 (* -1 N)) 2)) (+ (/ (pow N 2) (pow (+ 1 (* -1 N)) 2)) (/ (pow N 4) (pow (+ 1 (* -1 N)) 2)))))))
(atan2 1 (+ 1 (/ (* N (- (/ 1 (pow (+ 1 (* -1 N)) 3)) (/ (pow N 6) (pow (+ 1 (* -1 N)) 3)))) (+ (/ 1 (pow (+ 1 (* -1 N)) 2)) (+ (/ (pow N 2) (pow (+ 1 (* -1 N)) 2)) (/ (pow N 4) (pow (+ 1 (* -1 N)) 2)))))))
(atan2 1 (+ 1 (/ (* N (- (/ 1 (pow (+ 1 (* -1 N)) 3)) (/ (pow N 6) (pow (+ 1 (* -1 N)) 3)))) (+ (/ 1 (pow (+ 1 (* -1 N)) 2)) (+ (/ (pow N 2) (pow (+ 1 (* -1 N)) 2)) (/ (pow N 4) (pow (+ 1 (* -1 N)) 2)))))))
(atan2 1 (+ 1 (/ (* N (- (/ 1 (pow (+ 1 (* -1 N)) 3)) (/ (pow N 6) (pow (+ 1 (* -1 N)) 3)))) (+ (/ 1 (pow (+ 1 (* -1 N)) 2)) (+ (/ (pow N 2) (pow (+ 1 (* -1 N)) 2)) (/ (pow N 4) (pow (+ 1 (* -1 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)))
1
(+ 1 (* -1 N))
(+ 1 (* N (- (pow N 2) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) 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)
(/ 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))))))
-1
(- (* -3 N) 1)
(- (* N (- (* -6 N) 3)) 1)
(- (* N (- (* N (- (* -10 N) 6)) 3)) 1)
(/ 1 (pow N 3))
(/ (+ 1 (* 3 (/ 1 N))) (pow N 3))
(/ (+ 1 (+ (* 3 (/ 1 N)) (/ 6 (pow N 2)))) (pow N 3))
(/ (+ 1 (+ (* 3 (/ 1 N)) (+ (* 10 (/ 1 (pow N 3))) (/ 6 (pow N 2))))) (pow N 3))
(/ 1 (pow N 3))
(/ (+ 1 (* 3 (/ 1 N))) (pow N 3))
(* -1 (/ (- (* -1 (/ (+ 3 (* 6 (/ 1 N))) N)) 1) (pow N 3)))
(* -1 (/ (- (* -1 (/ (+ 3 (+ (* 6 (/ 1 N)) (/ 10 (pow N 2)))) N)) 1) (pow N 3)))
1
(+ 1 (* 2 N))
(+ 1 (* N (+ 2 (* 3 N))))
(+ 1 (* N (+ 2 (* N (+ 3 (* 4 N))))))
(/ 1 (pow N 2))
(/ (+ 1 (* 2 (/ 1 N))) (pow N 2))
(/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) (pow N 2))
(/ (+ 1 (+ (* 2 (/ 1 N)) (+ (* 4 (/ 1 (pow N 3))) (/ 3 (pow N 2))))) (pow N 2))
(/ 1 (pow N 2))
(/ (+ 1 (* 2 (/ 1 N))) (pow N 2))
(/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 N))) N)) 2) N))) (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))))
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(atan2 1 (+ 1 (+ N (pow N 2))))
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(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)))
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1
#s(literal 1 binary64)
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(* (pow N 2) (+ 1 (/ 1 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(pow N 2)
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(* (pow N 2) (+ 1 (/ 1 N)))
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#s(literal 1 binary64)
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(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))
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(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))
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(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))
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(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (+ 1 N))))))
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(atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))
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(atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))
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(atan2 1 (+ 1 (+ (/ N (+ 1 (+ N (pow N 2)))) (/ (pow N 4) (+ 1 (+ N (pow N 2)))))))
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(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))) (+.f64 #s(literal 1 binary64) (+.f64 N (/.f64 #s(literal 1 binary64) N)))))))
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(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))
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(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (* N (- 1 (* -1 N)))))))
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1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 (* -1 N))))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) N)))
(+ 1 (* N (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
(+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 N N)))))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal -1 binary64)))
(* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))
(* (pow N 2) (- (+ 1 (+ (/ 1 (pow N 2)) (* 2 (/ 1 (pow N 3))))) (/ 1 N)))
(+.f64 (-.f64 #s(literal 0 binary64) N) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 N (.f64 N N)))))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal -1 binary64)))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal -1 binary64))))
(* (pow N 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) N))) N))))
(+.f64 (.f64 N N) (.f64 N (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) N)) N)) #s(literal 1 binary64))))
N
(* N (+ 1 (* -1 N)))
(*.f64 N (-.f64 #s(literal 1 binary64) N))
(* N (+ 1 (* N (- (* 2 (pow N 2)) 1))))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 N N))))))
(* N (+ 1 (* N (- (* (pow N 2) (+ 2 (* -2 N))) 1))))
(.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal -1 binary64) (.f64 N (.f64 N (+.f64 #s(literal 2 binary64) (*.f64 N #s(literal -2 binary64)))))))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal -1 binary64)))
(* (pow N 2) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))
(+.f64 (.f64 N N) (.f64 N (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 N N))) #s(literal 1 binary64))))
(* (pow N 2) (- (+ 1 (/ 2 (pow N 3))) (+ (/ 1 N) (* 2 (/ 1 (pow N 4))))))
(.f64 (.f64 N N) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (.f64 N N))) N)) (/.f64 #s(literal -2 binary64) (.f64 N (.f64 N (.f64 N N))))))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (- 1 (/ 1 N)))
(*.f64 N (+.f64 N #s(literal -1 binary64)))
(* (pow N 2) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))
(+.f64 (.f64 N N) (.f64 N (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 N N))) #s(literal 1 binary64))))
(* (pow N 2) (+ 1 (* -1 (/ (- (+ 1 (/ 2 (pow N 3))) (* 2 (/ 1 (pow N 2)))) N))))
(.f64 (.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -2 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.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))))
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(atan2 1 (+ 1 (+ N (pow N 2))))
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(atan2 1 (+ 1 (+ N (pow N 2))))
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(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)))))
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(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
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(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
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(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
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(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
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(/ (atan2 1 (+ 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 (- 1 (+ N (pow N 2)))))
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(/ (atan2 1 (+ 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 (- 1 (* N (- 1 (* -1 N))))))
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(/ (atan2 1 (+ 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 (- 1 (* N (- 1 (* -1 N))))))
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(atan2 1 (+ 1 (* N (+ 1 N))))
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(atan2 1 (+ 1 (* N (+ 1 N))))
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(atan2 1 (+ 1 (* N (+ 1 N))))
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(atan2 1 (+ 1 (* N (+ 1 N))))
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(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
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(atan2 1 (+ 1 (+ N (pow N 2))))
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(atan2 1 (+ 1 (+ N (pow N 2))))
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(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)))))
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(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
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(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
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1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
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(+ 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)))
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(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
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(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/ 1 (atan2 1 (- 1 (+ N (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)))))
-1
#s(literal -1 binary64)
(- (* -3 N) 1)
(+.f64 #s(literal -1 binary64) (*.f64 N #s(literal -3 binary64)))
(- (* N (- (* -6 N) 3)) 1)
(+.f64 #s(literal -1 binary64) (.f64 N (+.f64 #s(literal -3 binary64) (.f64 N #s(literal -6 binary64)))))
(- (* N (- (* N (- (* -10 N) 6)) 3)) 1)
(+.f64 #s(literal -1 binary64) (.f64 N (+.f64 #s(literal -3 binary64) (.f64 N (+.f64 #s(literal -6 binary64) (*.f64 N #s(literal -10 binary64)))))))
(/ 1 (pow N 3))
(/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))
(/ (+ 1 (* 3 (/ 1 N))) (pow N 3))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) N)) (.f64 N (.f64 N N)))
(/ (+ 1 (+ (* 3 (/ 1 N)) (/ 6 (pow N 2)))) (pow N 3))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (.f64 N N)))) (.f64 N (*.f64 N N)))
(/ (+ 1 (+ (* 3 (/ 1 N)) (+ (* 10 (/ 1 (pow N 3))) (/ 6 (pow N 2))))) (pow N 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (.f64 N N)))) (/.f64 #s(literal 10 binary64) (.f64 N (.f64 N N)))) (.f64 N (*.f64 N N)))
(/ 1 (pow N 3))
(/.f64 #s(literal 1 binary64) (.f64 N (.f64 N N)))
(/ (+ 1 (* 3 (/ 1 N))) (pow N 3))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) N)) (.f64 N (.f64 N N)))
(* -1 (/ (- (* -1 (/ (+ 3 (* 6 (/ 1 N))) N)) 1) (pow N 3)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 6 binary64) N)) N)) (.f64 N (.f64 N N)))
(* -1 (/ (- (* -1 (/ (+ 3 (+ (* 6 (/ 1 N)) (/ 10 (pow N 2)))) N)) 1) (pow N 3)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) N) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 10 binary64) (.f64 N N)))) N)) (.f64 N (*.f64 N N)))
1
#s(literal 1 binary64)
(+ 1 (* 2 N))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 2 binary64)))
(+ 1 (* N (+ 2 (* 3 N))))
(+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 2 binary64) (.f64 N #s(literal 3 binary64)))))
(+ 1 (* N (+ 2 (* N (+ 3 (* 4 N))))))
(+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 2 binary64) (.f64 N (+.f64 #s(literal 3 binary64) (*.f64 N #s(literal 4 binary64)))))))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (+ 1 (* 2 (/ 1 N))) (pow N 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) N)) N) N)
(/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 3 binary64) (.f64 N N)))) (.f64 N N))
(/ (+ 1 (+ (* 2 (/ 1 N)) (+ (* 4 (/ 1 (pow N 3))) (/ 3 (pow N 2))))) (pow N 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 3 binary64) (.f64 N N)))) (/.f64 #s(literal 4 binary64) (.f64 N (.f64 N N)))) (.f64 N N))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (+ 1 (* 2 (/ 1 N))) (pow N 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) N)) N) N)
(/ (+ 1 (+ (* 2 (/ 1 N)) (/ 3 (pow N 2)))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 3 binary64) (.f64 N N)))) (.f64 N N))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 N))) N)) 2) N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 4 binary64) N)) N)) N)) (*.f64 N N))

eval174.0ms (1.8%)

Compiler: Compiled 44360 to 2982 computations (93.3% saved)

prune127.0ms (1.3%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1024	12	1036
Fresh	10	17	27
Picked	3	2	5
Done	0	1	1
Total	1037	32	1069

Accuracy

100.0%

Counts

1069 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal 1 binary64)) (+.f64 (.f64 N N) #s(literal -1 binary64))) N))
	79.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))))) N))
	50.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 (.f64 N N) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 (.f64 N N) (.f64 N (.f64 N N))))))) N))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
	96.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
	45.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 (.f64 N N) (.f64 N (.f64 N N))))) (/.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N 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))))))
	73.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) N) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
▶	74.0%	(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)))))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	96.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
▶	93.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	6.3%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	81.6%	(/.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)) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.3%	(/.f64 (pow.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)))) #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 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.4%	(/.f64 (/.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)))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	93.6%	(/.f64 (/.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))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.3%	(/.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 #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))))))
	99.4%	(/.f64 (.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 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
▶	81.5%	(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 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)))))))
	93.1%	(.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 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)))
	93.1%	(.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 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)))))))
	99.0%	(.f64 (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 -1/2 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 -1/2 binary64)))
	34.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (/.f64 (-.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (+.f64 (.f64 N N) #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N))) (.f64 (+.f64 N #s(literal -1 binary64)) (+.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	44.5%	(.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 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) N) (.f64 N (.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N N))))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
	96.7%	(.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 N)))))
▶	99.4%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.3%	(.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 (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))))))

Compiler

Compiled 1692 to 735 computations (56.6% saved)

simplify168.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	128	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
✓	cost-diff	128	(/.f64 (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 (+.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 (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) (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	cost-diff	0	(atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	0	(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))
✓	cost-diff	13568	(.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)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	cost-diff	13568	(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 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)))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))) N)
✓	cost-diff	512	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
✓	cost-diff	512	(+.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))))
✓	cost-diff	512	(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)))))
✓	cost-diff	0	(*.f64 N N)
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	cost-diff	0	(*.f64 N (+.f64 #s(literal 1 binary64) N))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	cost-diff	0	(atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	cost-diff	13952	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))

Rules

1990×	`-lowering-.f32`
1990×	`-lowering-.f64`
1660×	`/-lowering-/.f32`
1660×	`/-lowering-/.f64`
1532×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	430
1	95	383
2	224	338
3	582	269
4	1700	260
5	3527	260
6	7092	260
0	8237	260

Stop Event

1×	iter limit
1×	node limit

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))))
1
(- 1 (* N (+ 1 N)))
(* N (+ 1 N))
N
(+ 1 N)
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(+ 1 (* N (+ 1 N)))
(atan2 1 (* N N))
1
(* N N)
N
(atan2 1 (+ 1 (* (* (+ 1 (* N (* N N))) N) (/ 1 (* N N)))))
1
(+ 1 (* (* (+ 1 (* N (* N N))) N) (/ 1 (* N N))))
(* (* (+ 1 (* N (* N N))) N) (/ 1 (* N N)))
(* (+ 1 (* N (* N N))) N)
(+ 1 (* N (* N N)))
(* N (* N N))
N
(* N N)
(/ 1 (* N N))
(- 0 (* (pow (atan2 -1 (+ 1 (* N (+ 1 N)))) 2) (/ 1 (atan2 -1 (+ 1 (* N (+ 1 N)))))))
0
(* (pow (atan2 -1 (+ 1 (* N (+ 1 N)))) 2) (/ 1 (atan2 -1 (+ 1 (* N (+ 1 N))))))
(pow (atan2 -1 (+ 1 (* N (+ 1 N)))) 2)
(atan2 -1 (+ 1 (* N (+ 1 N))))
-1
(+ 1 (* N (+ 1 N)))
1
(* N (+ 1 N))
N
(+ 1 N)
2
(/ 1 (atan2 -1 (+ 1 (* N (+ 1 N)))))
(* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (/ N (/ 1 (+ 1 N))))) (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 (/ 1 (+ 1 N))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))
(atan2 1 (+ 1 (/ N (/ 1 (+ 1 N)))))
(+ 1 (/ N (/ 1 (+ 1 N))))
(/ N (/ 1 (+ 1 N)))
(/ 1 (+ 1 N))
(+ 1 N)

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

localize173.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (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 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64))))))
✓	accuracy	99.5%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
✓	accuracy	99.5%	(/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
✓	accuracy	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.5%	(atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
✓	accuracy	99.4%	(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))
✓	accuracy	81.7%	(.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)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	accuracy	99.5%	(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)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 N N))
✓	accuracy	99.5%	(.f64 N (.f64 N N))
✓	accuracy	79.9%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
✓	accuracy	100.0%	(*.f64 N N)
✓	accuracy	99.5%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	accuracy	100.0%	(*.f64 N (+.f64 #s(literal 1 binary64) N))
✓	accuracy	99.6%	(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))
✓	accuracy	99.6%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
✓	accuracy	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))

Results

110.0ms

256×

valid

Compiler

Compiled 417 to 39 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 15.0ms (25.8% of total)

ival-div: 14.0ms (24.1% of total)

ival-atan2: 12.0ms (20.7% of total)

ival-add: 9.0ms (15.5% of total)

ival-sub: 4.0ms (6.9% of total)

ival-pow: 3.0ms (5.2% of total)

const: 1.0ms (1.7% of total)

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

series11.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* (atan2 1 (- 1 (* N (+ 1 N)))) (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N))))))>
#<alt (atan2 1 (- 1 (* N (+ 1 N))))>
#<alt (- 1 (* N (+ 1 N)))>
#<alt (* N (+ 1 N))>
#<alt (atan2 1 (* N N))>
#<alt (* N N)>
#<alt (atan2 1 (+ 1 (* (* (+ 1 (* N (* N N))) N) (/ 1 (* N N)))))>
#<alt (+ 1 (* (* (+ 1 (* N (* N N))) N) (/ 1 (* N N))))>
#<alt (* (* (+ 1 (* N (* N N))) N) (/ 1 (* N N)))>
#<alt (* (+ 1 (* N (* N N))) N)>
#<alt (- 0 (* (pow (atan2 -1 (+ 1 (* N (+ 1 N)))) 2) (/ 1 (atan2 -1 (+ 1 (* N (+ 1 N)))))))>
#<alt (* (pow (atan2 -1 (+ 1 (* N (+ 1 N)))) 2) (/ 1 (atan2 -1 (+ 1 (* N (+ 1 N))))))>
#<alt (pow (atan2 -1 (+ 1 (* N (+ 1 N)))) 2)>
#<alt (atan2 -1 (+ 1 (* N (+ 1 N))))>
#<alt (* (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))) (/ (atan2 1 (+ 1 (/ N (/ 1 (+ 1 N))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1))))))>
#<alt (/ (atan2 1 (+ 1 (/ N (/ 1 (+ 1 N))))) (atan2 (+ N (+ N 1)) (- 1 (* N (+ N 1)))))>
#<alt (atan2 1 (+ 1 (/ N (/ 1 (+ 1 N)))))>
#<alt (+ 1 (/ N (/ 1 (+ 1 N))))>
#<alt (atan2 1 (+ 1 (* N (+ 1 N))))>
#<alt (/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 1 (- 1 (* N (+ 1 N)))))>
#<alt (* N (* N N))>
#<alt (/ 1 (* N N))>
#<alt (/ 1 (atan2 -1 (+ 1 (* N (+ 1 N)))))>
#<alt (/ N (/ 1 (+ 1 N)))>

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

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(/ 1 (atan2 -1 (+ 1 (* N (+ 1 N)))))
0.0ms	N	@	-inf	(/ 1 (atan2 -1 (+ 1 (* N (+ 1 N)))))
0.0ms	N	@	0	(/ 1 (atan2 -1 (+ 1 (* N (+ 1 N)))))
0.0ms	N	@	-inf	(pow (atan2 -1 (+ 1 (* N (+ 1 N)))) 2)
0.0ms	N	@	inf	(pow (atan2 -1 (+ 1 (* N (+ 1 N)))) 2)

rewrite333.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3316×	`/-lowering-/.f32`
3316×	`/-lowering-/.f64`
2826×	`-lowering-.f32`
2826×	`-lowering-.f64`
1448×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	301
1	240	235
2	2001	192
0	8637	192

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1035

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

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

simplify172.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2184×	`-lowering-.f32`
2184×	`-lowering-.f64`
1898×	`fnmadd-define`
1394×	`+-lowering-+.f64`
1394×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	2451
1	244	2172
2	557	2114
3	1989	2111
0	8509	2111

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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

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

eval262.0ms (2.7%)

Compiler: Compiled 68196 to 4820 computations (92.9% saved)

prune234.0ms (2.4%)

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1930	15	1945
Fresh	8	16	24
Picked	4	1	5
Done	0	3	3
Total	1942	35	1977

Accuracy

100.0%

Counts

1977 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N N)))) N))
	93.6%	(atan2.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) N)))
	79.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal 1 binary64)) (+.f64 (.f64 N N) #s(literal -1 binary64))) N))
	50.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 (.f64 N N) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 (.f64 N N) (.f64 N (.f64 N N))))))) N))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N))
	93.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
	96.7%	(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
	73.9%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))) N)))
	45.8%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
	99.4%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
	74.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
	74.0%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N (.f64 N (.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
✓	99.5%	(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
	96.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
✓	93.7%	(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
✓	6.3%	(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	81.6%	(/.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)) (-.f64 #s(literal 0 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.3%	(/.f64 (pow.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)))) #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 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.4%	(/.f64 (/.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)))))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
	93.6%	(/.f64 (/.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))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.3%	(/.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 #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))))))
	81.3%	(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) N)))))))))
	75.7%	(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N))))))
	93.1%	(.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 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)))
	93.1%	(.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 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)))))))
	81.5%	(.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)) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	99.0%	(.f64 (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 -1/2 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 -1/2 binary64)))
	34.6%	(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (/.f64 (-.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (+.f64 (.f64 N N) #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N))) (.f64 (+.f64 N #s(literal -1 binary64)) (+.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)))))))
	96.7%	(.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 N)))))
	99.4%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.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))))))
	97.5%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
	94.0%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
	99.4%	(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
	81.6%	(.f64 (/.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
	99.3%	(.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 (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))))))

Compiler

Compiled 2871 to 692 computations (75.9% saved)

regimes41.0ms (0.4%)

Counts

70 → 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 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 N (/.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(atan2.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 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N N)))) 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))))))
(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 #s(literal 1 binary64) (.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 N (.f64 N (.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
(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 #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) N) (.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (.f64 N (.f64 N (.f64 N N))) #s(literal 1 binary64)) (+.f64 (.f64 N N) #s(literal -1 binary64))) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 N N) (.f64 (.f64 N (.f64 N N)) N)) (-.f64 N (*.f64 N N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 N N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N (.f64 N N)))))) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N) (/.f64 #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N)))) (/.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (.f64 N (.f64 N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (+.f64 (.f64 N N) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 N (.f64 (.f64 N N) (.f64 N (.f64 N N))))))) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 N (.f64 (.f64 N N) (.f64 N (.f64 N N))))) (/.f64 N (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (-.f64 #s(literal 1 binary64) (.f64 N (*.f64 N 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 N) (+.f64 #s(literal 1 binary64) (.f64 N 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 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) 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) (pow.f64 N #s(literal 3 binary64))) N) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(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 #s(literal 0 binary64) (.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N 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 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 (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)) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 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 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N N)))))
(/.f64 (/.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))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))))
(.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (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 N (+.f64 #s(literal 1 binary64) N))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) N)))))))))
(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.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 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) (/.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 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (/.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))))
(.f64 (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 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 #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 (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))))))))
(.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) (+.f64 #s(literal 1 binary64) N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 N (+.f64 N #s(literal 1 binary64)))))))
(.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (/.f64 (-.f64 (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) (+.f64 (.f64 N N) #s(literal -1 binary64))) (.f64 (+.f64 N #s(literal -1 binary64)) (.f64 (+.f64 (.f64 N N) #s(literal -1 binary64)) N))) (.f64 (+.f64 N #s(literal -1 binary64)) (+.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)))))))
(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 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 N (.f64 N N)) N) (.f64 N (.f64 N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (.f64 (.f64 N (.f64 N N)) (.f64 N (.f64 N N))) (.f64 N (.f64 N 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 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal -1/2 binary64)) (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 -1/2 binary64)))
(.f64 (pow.f64 (atan2.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (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)))))
(/.f64 (pow.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)))) #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 #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 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 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (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 (pow.f64 (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #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))))))))
(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))))))))))

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

Calls

2 calls:

21.0ms	N
14.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
99.5%	1	`N`
99.5%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Counts

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 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 N (/.f64 #s(literal 1 binary64) N)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.7%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
6.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	18	24

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness665.0ms (6.9%)

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	2053
1	133	1766
2	270	1766
3	851	1766
4	4503	1766
0	8103	1766
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 83 to 46 computations (44.6% saved)

preprocess37.0ms (0.4%)

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

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

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

analyze5.0ms (0.1%)

sample1.8s (19%)

preprocess38.0ms (0.4%)

explain113.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize52.0ms (0.5%)

series1.0ms (0%)

rewrite319.0ms (3.3%)

simplify36.0ms (0.4%)

eval34.0ms (0.4%)

prune32.0ms (0.3%)

simplify165.0ms (1.7%)

localize234.0ms (2.4%)

series13.0ms (0.1%)

rewrite328.0ms (3.4%)

simplify239.0ms (2.5%)

eval1.6s (16.8%)

prune999.0ms (10.4%)

simplify214.0ms (2.2%)

localize296.0ms (3.1%)

series27.0ms (0.3%)

rewrite340.0ms (3.5%)

simplify274.0ms (2.8%)

eval174.0ms (1.8%)

prune127.0ms (1.3%)

simplify168.0ms (1.7%)

localize173.0ms (1.8%)

series11.0ms (0.1%)

rewrite333.0ms (3.5%)

simplify172.0ms (1.8%)

eval262.0ms (2.7%)

prune234.0ms (2.4%)

regimes41.0ms (0.4%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify17.0ms (0.2%)

soundness665.0ms (6.9%)

preprocess37.0ms (0.4%)

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