Metrics for 2atan (example 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (49.9%)

Memory

4.1MiB live, 1 114.7MiB allocated; 340ms collecting garbage

Samples

841.0ms	7 267×	1	valid
221.0ms	805×	2	valid
8.0ms	184×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 854.0ms

ival-atan: 482.0ms (56.4% of total)

adjust: 274.0ms (32.1% of total)

ival-add!: 50.0ms (5.9% of total)

ival-sub!: 48.0ms (5.6% of total)

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

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

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

Bogosity

preprocess152.0ms (5.6%)

Memory

-0.7MiB live, 45.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	26	26
2	52	26
3	139	24
4	992	22
5	6672	22

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.9%	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Counts

6 → 9

Calls

Call 1

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

Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))

Calls

3 calls:

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

rewrite52.0ms (1.9%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	101
0	35	93
1	144	93
0	917	93

Stop Event

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

Counts

15 → 48

Calls

Call 1

Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))

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

eval4.0ms (0.2%)

Memory: 5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 362 to 175 computations (51.7% saved)

prune2.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Accuracy

19.9%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.9%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶	9.9%	(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))

Status

Accuracy

Program

▶

19.9%

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

▶

9.9%

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

▶

2.0%

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

Compiler

Compiled 22 to 21 computations (4.5% saved)

series9.0ms (0.3%)

Memory

-42.4MiB live, 3.4MiB allocated; 4ms collecting garbage

Counts

13 → 16

Calls

Call 1

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

Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	N	@	-inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
1.0ms	N	@	inf	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
0.0ms	N	@	0	((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))

Time

Variable

Point

Expression

8.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite124.0ms (4.6%)

Memory

-3.2MiB live, 55.7MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	275
0	77	243
1	350	235
0	3031	232

Stop Event

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

Counts

29 → 142

Calls

Call 1

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

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

eval15.0ms (0.6%)

Memory: 20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 466 to 526 computations (64.1% saved)

prune5.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	145	3	148

Accuracy

99.6%

Counts

148 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.9%	(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
✓	2.0%	(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

Status

Accuracy

Program

▶

19.9%

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

✓

2.0%

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

▶

99.6%

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

Compiler

Compiled 31 to 30 computations (3.2% saved)

series2.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Counts

11 → 14

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite97.0ms (3.6%)

Memory

1.0MiB live, 49.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	280
0	71	256
1	329	216
0	3187	215

Stop Event

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

Counts

25 → 339

Calls

Call 1

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

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

eval31.0ms (1.1%)

Memory: -10.0MiB live, 35.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 404 to 1 025 computations (57.4% saved)

prune15.0ms (0.6%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	240	15	255
Fresh	0	0	0
Picked	1	1	2
Done	1	0	1
Total	242	16	258

Accuracy

99.7%

Counts

258 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N #s(literal 1 binary64))))
	75.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (.f64 (.f64 N N) N)) N #s(literal 1 binary64))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N))) (.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64))))
▶	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64))))
	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (.f64 N N) N)))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
▶	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) N) N) N #s(literal 1 binary64))))
	53.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N) (.f64 (.f64 N N) N)) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)) #s(literal 2 binary64)))))
▶	75.9%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
	53.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (.f64 N N)))))
	75.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
▶	95.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
	8.0%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
	92.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N))))
▶	6.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))

Compiler

Compiled 627 to 520 computations (17.1% saved)

series15.0ms (0.6%)

Memory

-31.7MiB live, 15.0MiB allocated; 2ms collecting garbage

Counts

35 → 50

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* (pow N 2) (+ 1 (/ 1 (pow N 3)))) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (* (+ (/ 1 (* (* N N) N)) 1) N) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (* (+ (/ 1 (* (* N N) N)) 1) N) #s(hole binary64 (/ (+ 1 (pow N 3)) (pow N 2))))
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (/ 1 (pow N 3))))
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (/ (+ 1 (pow N 3)) (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (/ (+ 1 (* -1 N)) (pow N 2))))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (/ (+ 1 (* N (- N 1))) (pow N 2))))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) 1) #s(hole binary64 (/ (+ 1 (* -1 N)) N)))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 1 (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 3) (+ (/ 1 N) (/ 1 (pow N 2))))))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 N) (pow N 2))))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* 2 N))) 1)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ 1 (* N (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (/ (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (* (+ (/ 1 (* (* N N) N)) 1) N) #s(hole binary64 (* N (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (/ 1 (* (* N N) N)) 1) #s(hole binary64 (+ 1 (/ 1 (pow N 3)))))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (- 1 (/ 1 N))))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
#s(approx (- (/ 1 N) 1) #s(hole binary64 (- (/ 1 N) 1)))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 N)) N)))))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	N	@	-inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (/ 1 (* (* N N) N)) 1) (/ 1 (* (* N N) N)) (* (* N N) N) (* N N) N (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (/ 1 N) (- (/ 1 N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (* (+ (/ 1 (* N N)) (/ 1 N)) N) (+ (/ 1 (* N N)) (/ 1 N)) (/ 1 (* N N)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) -1 (+ (* (- N -1) N) -1) (- N -1))
5.0ms	N	@	0	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (/ 1 (* (* N N) N)) 1) (/ 1 (* (* N N) N)) (* (* N N) N) (* N N) N (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (/ 1 N) (- (/ 1 N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (* (+ (/ 1 (* N N)) (/ 1 N)) N) (+ (/ 1 (* N N)) (/ 1 N)) (/ 1 (* N N)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) -1 (+ (* (- N -1) N) -1) (- N -1))
3.0ms	N	@	inf	((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (/ 1 (* (* N N) N)) 1) (/ 1 (* (* N N) N)) (* (* N N) N) (* N N) N (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (/ 1 N) (- (/ 1 N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (+ (* N N) N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1) (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) (* (+ (/ 1 (* N N)) (/ 1 N)) N) (+ (/ 1 (* N N)) (/ 1 N)) (/ 1 (* N N)) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) -1 (+ (* (- N -1) N) -1) (- N -1))

Time

Variable

Point

Expression

5.0ms

-inf

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

5.0ms

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

3.0ms

inf

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

rewrite170.0ms (6.3%)

Memory

-6.7MiB live, 130.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	1621
0	269	1435
1	1205	1259
0	8591	1231

Stop Event

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

Counts

85 → 647

Calls

Call 1

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

Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N)))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) N) #s(literal 2 binary64) (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) N))) (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N #s(literal 1 binary64))
(fma.f64 N (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N #s(literal -1 binary64))))
(-.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) N))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 N) (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 1 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) N))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal -1 binary64)) (/.f64 N (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64)) N) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64))) N) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 N #s(literal -9 binary64)) #s(literal -1 binary64)) N) (.f64 (+.f64 (pow.f64 N #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -9 binary64))) N) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 N #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (/.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal -1 binary64)) N)
(.f64 N (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 N N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N N)))) (-.f64 (.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (.f64 N N))))
(/.f64 (-.f64 (.f64 N N) (.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))))) (-.f64 (.f64 N #s(literal 1 binary64)) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N) (pow.f64 N #s(literal -6 binary64))) (fma.f64 N N (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N N))) (.f64 (.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))) (.f64 (.f64 N #s(literal 1 binary64)) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))))))
(fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(fma.f64 N #s(literal 1 binary64) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N))))
(-.f64 (.f64 #s(literal 1 binary64) N) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) N))
(-.f64 (.f64 N #s(literal 1 binary64)) (.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))))
(+.f64 (.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (.f64 N N)))
(+.f64 (.f64 N #s(literal 1 binary64)) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))))
(.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 2 binary64) (+.f64 N N)))) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 2 binary64) (+.f64 N N)) (+.f64 N N))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 N N) N) #s(literal 2 binary64))) (.f64 (.f64 (.f64 N N) N) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (.f64 (neg.f64 N) (.f64 N N)) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 N) (.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) N (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N)))) (+.f64 N N))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 N N) N) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) (.f64 N N)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 N) (*.f64 N N))))
(/.f64 (+.f64 N (.f64 N (.f64 (.f64 N N) N))) (.f64 N (.f64 (.f64 N N) N)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N) (.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N))) (.f64 (.f64 (.f64 N N) (.f64 N N)) (.f64 N N)))
(/.f64 (fma.f64 (neg.f64 N) (.f64 N N) (.f64 (.f64 (neg.f64 N) (.f64 N N)) (.f64 (.f64 N N) N))) (.f64 (.f64 (neg.f64 N) (.f64 N N)) (.f64 (*.f64 N N) N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal -9 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 N #s(literal -6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -9 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal -6 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal -6 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)))) (neg.f64 (.f64 (neg.f64 N) (*.f64 N N))))
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(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 #s(literal -1 binary64) (fma.f64 N N N)))
(/.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 N N N)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (pow.f64 (fma.f64 N N N) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) N #s(literal -1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) (.f64 (*.f64 N N) N) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 N N) N) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64))
(fma.f64 (*.f64 N N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(fma.f64 N (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(-.f64 (fma.f64 N N N) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 N #s(literal -1 binary64))) N))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 N N N) #s(literal -1 binary64))))))
(+.f64 (fma.f64 N N N) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (fma.f64 N N N))
(+.f64 N (fma.f64 N N #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 (neg.f64 N) #s(literal -1 binary64)))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) (.f64 N #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 N N) N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 (neg.f64 N) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (.f64 (.f64 N N) N) (fma.f64 N N (-.f64 (neg.f64 N) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (-.f64 (neg.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 N #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 (.f64 N N) N) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))) (/.f64 (.f64 (.f64 N N) N) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 N N) N))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 N N (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))) #s(literal -1 binary64))))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (* (+ (/ 1 (* (* N N) N)) 1) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (* (+ (/ 1 (* (* N N) N)) 1) N) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N))
#s(approx (+ (/ 1 (* (* N N) N)) 1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))
#s(approx (+ (/ 1 (* (* N N) N)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal -1 binary64)))
#s(approx (* (* N N) N) (.f64 (.f64 N N) N))
#s(approx (* N N) (*.f64 N N))
#s(approx N N)
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (/.f64 (-.f64 (neg.f64 N) #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (/.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (/ 1 N) 1) (/.f64 (-.f64 (neg.f64 N) #s(literal -1 binary64)) N))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (atan2 1 (+ (* (* (* (+ (/ 1 (* N N)) (/ 1 N)) N) N) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(literal -1 binary64))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (fma.f64 N N #s(literal -1 binary64)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (fma.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) -1) (-.f64 N #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) -1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 N N (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))) #s(literal -1 binary64))))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (fma.f64 N N N))
#s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (* (+ (/ 1 (* (* N N) N)) 1) N) (fma.f64 #s(literal 1 binary64) N (/.f64 #s(literal 1 binary64) (*.f64 N N))))
#s(approx (+ (/ 1 (* (* N N) N)) 1) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)) #s(literal -1 binary64)))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (- (/ 1 N) 1) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (.f64 (.f64 N N) (*.f64 N N)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64)) (.f64 (.f64 N N) (.f64 N N))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (.f64 (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal -1 binary64)) (.f64 (.f64 N N) (.f64 N N))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (.f64 (-.f64 (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N N)))) (.f64 (.f64 N N) (*.f64 N N))))
#s(approx (+ (* (- N -1) N) -1) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) (.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 N) (- (/ 1 N) 1)) 1) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (neg.f64 N)) #s(literal -1 binary64)))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal -1 binary64)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 N N))) (neg.f64 N)) #s(literal 2 binary64)) (neg.f64 N)) #s(literal -1 binary64)) (.f64 (.f64 N N) (*.f64 N N))))
#s(approx (+ (* (- N -1) N) -1) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (neg.f64 N)) #s(literal -1 binary64)) (.f64 N N)))

eval484.0ms (17.9%)

Memory: -1.6MiB live, 125.9MiB allocated; 685ms collecting garbage
Compiler: Compiled 10 124 to 4 519 computations (55.4% saved)

prune37.0ms (1.4%)

Memory

-21.0MiB live, 40.3MiB allocated; 11ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	766	12	778
Fresh	5	5	10
Picked	3	2	5
Done	0	1	1
Total	774	20	794

Accuracy

99.8%

Counts

794 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))) (.f64 (.f64 N #s(literal 1 binary64)) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))))))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64))))
	75.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (.f64 (.f64 N N) N)) N #s(literal 1 binary64))))
	99.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N))) (.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64))))
	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (.f64 N N) N)))
✓	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
	99.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) N) (*.f64 N N) #s(literal 1 binary64))))
	99.2%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 N N N) (.f64 (.f64 N N) N)) N) N) N #s(literal 1 binary64))))
	99.1%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) N) N) N #s(literal 1 binary64))))
	70.8%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log.f64 (fma.f64 N N N)) #s(literal 1 binary64))))))
	75.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
	53.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (*.f64 #s(literal -1 binary64) (fma.f64 N N N)))))))
	68.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (.f64 (.f64 N N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
	8.0%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (-.f64 N #s(literal -1 binary64)))))
	95.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (.f64 N N) N) N))))
✓	95.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
	95.7%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 (*.f64 N N) N))))
	95.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) (.f64 (.f64 N N) N)))))
	92.3%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N))))
✓	6.4%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
	99.6%	#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(approx (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 N N (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))) #s(literal -1 binary64)))))

Compiler

Compiled 803 to 588 computations (26.8% saved)

regimes16.0ms (0.6%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 (*.f64 N N) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (/.f64 #s(literal 1 binary64) N) (.f64 (.f64 N N) N) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) #s(literal -1 binary64)) (.f64 N N) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) (.f64 (.f64 N N) N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (.f64 N N)) N) (*.f64 N N) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (.f64 (.f64 N N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) N) N) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 N N N) (.f64 (.f64 N N) N)) N) N) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 N N N) (.f64 N N)) (.f64 (.f64 N N) N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(approx (atan2 1 (+ (* (/ (* (+ (/ 1 (* (* N N) N)) 1) N) (+ (* (/ 1 N) (- (/ 1 N) 1)) 1)) N) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 N N (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))) #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (.f64 (.f64 (.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log.f64 (fma.f64 N N N)) #s(literal 1 binary64))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) (.f64 N N))) (/.f64 #s(literal 1 binary64) (.f64 N N))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) N) N) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 N N)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 N N) N) N))) (.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (*.f64 #s(literal -1 binary64) (fma.f64 N N N)))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (.f64 N N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 N N) N) N) (.f64 N N) (.f64 (.f64 N N) N)) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 N N) (-.f64 (.f64 N N) N) (.f64 N N)) #s(literal 2 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (.f64 (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N)))) (.f64 (.f64 N #s(literal 1 binary64)) (.f64 N (/.f64 #s(literal 1 binary64) (.f64 (.f64 N N) N))))))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64))))

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

Calls

2 calls:

8.0ms	N
6.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.7%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
95.7%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

-41.3MiB live, 5.2MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	N
1.0ms	(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))

Results

Accuracy	Segments	Branch
92.3%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
92.3%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
8.0%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
8.0%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
6.4%	1	`(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))`
6.4%	1	`N`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations58.0ms (2.1%)

Memory

32.8MiB live, 32.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 42 to 28 computations (33.3% saved)

preprocess46.0ms (1.7%)

Memory: -34.8MiB live, 59.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 64 to 46 computations (28.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.3s (49.9%)

preprocess152.0ms (5.6%)

series2.0ms (0.1%)

rewrite52.0ms (1.9%)

eval4.0ms (0.2%)

prune2.0ms (0.1%)

series9.0ms (0.3%)

rewrite124.0ms (4.6%)

eval15.0ms (0.6%)

prune5.0ms (0.2%)

series2.0ms (0.1%)

rewrite97.0ms (3.6%)

eval31.0ms (1.1%)

prune15.0ms (0.6%)

series15.0ms (0.6%)

rewrite170.0ms (6.3%)

eval484.0ms (17.9%)

prune37.0ms (1.4%)

regimes16.0ms (0.6%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

derivations58.0ms (2.1%)

preprocess46.0ms (1.7%)

end0.0ms (0%)

Profiling