2 * cos ( 2* (i+1) -1 * PI / (2*n))

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 32 to 22 computations (31.3% saved)

sample2.0s (33.4%)

Memory
80.2MiB live, 1 031.1MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 406.0ms (37.7% of total)
ival-mult: 284.0ms (26.4% of total)
ival-<=: 86.0ms (8% of total)
ival-pi: 85.0ms (7.9% of total)
ival-div: 75.0ms (7% of total)
ival-add: 53.0ms (4.9% of total)
ival-sub: 42.0ms (3.9% of total)
ival-and: 27.0ms (2.5% of total)
exact: 15.0ms (1.4% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain410.0ms (6.9%)

Memory
35.9MiB live, 231.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
332(7.791097120651112 3.4733869470729593)12(15.575666542024917 3.1895786777750397)(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
00-0-n
00-0-(*.f64 #s(literal 2 binary64) n)
00-0-#s(literal 1 binary64)
00-0-(+.f64 i #s(literal 1 binary64))
00-0-(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
00-0-(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
00-0-(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 1 binary64) (PI.f64))
00-0-i
00-0-(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))sensitivity2343
Confusion
Predicted +Predicted -
+2216
-1217
Precision
0.9565217391304348
Recall
0.5789473684210527
Confusion?
Predicted +Predicted MaybePredicted -
+22142
-129188
Precision?
0.5454545454545454
Recall?
0.9473684210526315
Freqs
test
numberfreq
0233
123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
185.0ms512×0valid
Compiler

Compiled 158 to 43 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-sub: 56.0ms (59.7% of total)
ival-cos: 16.0ms (17.1% of total)
ival-mult: 13.0ms (13.9% of total)
ival-div: 3.0ms (3.2% of total)
ival-add: 3.0ms (3.2% of total)
ival-pi: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess186.0ms (3.1%)

Memory
65.3MiB live, 96.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03174
110170
223870
363470
4112870
5169870
6228170
7253270
8256570
9256570
01316
02214
14714
29214
321514
435914
547714
662314
782014
8103714
9113614
10120514
11123314
0123312
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
Compiler

Compiled 16 to 13 computations (18.8% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify35.0ms (0.6%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
cost-diff1
(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
cost-diff1
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
cost-diff2
(*.f64 #s(literal 1 binary64) (PI.f64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01369
02259
14759
29259
321559
435959
547759
662359
782059
8103759
9113659
10120559
11123359
0123352
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
#s(literal 2 binary64)
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
(+.f64 i #s(literal 1 binary64))
i
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
(*.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(*.f64 #s(literal 2 binary64) n)
n
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
(cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
(fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))
(+.f64 i #s(literal 1 binary64))
(-.f64 i #s(literal -1 binary64))
i
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(PI.f64)
(*.f64 #s(literal 2 binary64) n)
(*.f64 n #s(literal 2 binary64))
n

localize37.0ms (0.6%)

Memory
13.8MiB live, 13.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(PI.f64)
accuracy0.1015625
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
accuracy0.23828125
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
accuracy2.160881298910167
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
Samples
28.0ms256×0valid
Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 8.0ms (42% of total)
ival-mult: 6.0ms (31.5% of total)
ival-div: 2.0ms (10.5% of total)
ival-pi: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
ival-sub: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
7 → 37
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (PI.f64))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
(PI.f64)
Outputs
(- 2 (* 1/2 (/ (PI) n)))
(- (+ 2 (* 2 i)) (* 1/2 (/ (PI) n)))
2
(+ 2 (* 2 i))
(* 2 (cos (- 2 (* 1/2 (/ (PI) n)))))
(+ (* -4 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* -4 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))))))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 8/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))))))
(cos (- 2 (* 1/2 (/ (PI) n))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* -2 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* -2 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* i (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 4/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(* 2 i)
(* i (- (+ 2 (* 2 (/ 1 i))) (* 1/2 (/ (PI) (* i n)))))
(* i (+ 2 (* 2 (/ 1 i))))
(* 2 (cos (- (* 2 (+ 1 i)) (* 1/2 (/ (PI) n)))))
(cos (- (* 2 (+ 1 i)) (* 1/2 (/ (PI) n))))
(* -1 (* i (- (* -1 (/ (- 2 (* 1/2 (/ (PI) n))) i)) 2)))
(* 2 (cos (- (* 2 (- 1 (* -1 i))) (* 1/2 (/ (PI) n)))))
(cos (- (* 2 (- 1 (* -1 i))) (* 1/2 (/ (PI) n))))
(* -1/2 (/ (PI) n))
(/ (- (* 2 (* n (+ 1 i))) (* 1/2 (PI))) n)
(* 1/2 (/ (PI) n))
(* 2 (+ 1 i))
(+ (* -1/2 (/ (PI) n)) (* 2 (+ 1 i)))
(* 2 (cos (* 2 (+ 1 i))))
(+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n))
(+ (* -1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(+ (* -1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (+ (* -1/24 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) (pow n 3))) (+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n))))
(cos (* 2 (+ 1 i)))
(+ (cos (* 2 (+ 1 i))) (* 1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(- (+ (cos (* 2 (+ 1 i))) (* -1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2)))) (* -1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(- (+ (cos (* 2 (+ 1 i))) (+ (* -1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (* -1/48 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) (pow n 3))))) (* -1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (* 2 (+ 1 i))))) (* 1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) n))) n)) (* 2 (cos (* 2 (+ 1 i)))))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (* 2 (+ 1 i))))) (* -1 (/ (+ (* -1/4 (* (pow (PI) 2) (cos (* 2 (+ 1 i))))) (* -1/24 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) n))) n))) n)) (* 2 (cos (* 2 (+ 1 i)))))
(+ (cos (* 2 (+ 1 i))) (* -1 (/ (- (* 1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) n)) (* 1/2 (* (PI) (sin (* 2 (+ 1 i)))))) n)))
(+ (cos (* 2 (+ 1 i))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (cos (* 2 (+ 1 i))))) (* -1/48 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) n))) n)) (* 1/2 (* (PI) (sin (* 2 (+ 1 i)))))) n)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
n
@inf
((* 1 (PI)) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 (+ i 1)) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (/ (* 1 (PI)) (* 2 n)) (PI))
1.0ms
i
@0
((* 1 (PI)) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 (+ i 1)) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (/ (* 1 (PI)) (* 2 n)) (PI))
1.0ms
n
@0
((* 1 (PI)) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 (+ i 1)) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (/ (* 1 (PI)) (* 2 n)) (PI))
1.0ms
n
@-inf
((* 1 (PI)) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 (+ i 1)) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (/ (* 1 (PI)) (* 2 n)) (PI))
1.0ms
i
@inf
((* 1 (PI)) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 (+ i 1)) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (/ (* 1 (PI)) (* 2 n)) (PI))

simplify270.0ms (4.5%)

Memory
-119.2MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151782
1432773
21132752
34046698
08311600
Stop Event
iter limit
node limit
Counts
37 → 37
Calls
Call 1
Inputs
(- 2 (* 1/2 (/ (PI) n)))
(- (+ 2 (* 2 i)) (* 1/2 (/ (PI) n)))
2
(+ 2 (* 2 i))
(* 2 (cos (- 2 (* 1/2 (/ (PI) n)))))
(+ (* -4 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* -4 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))))))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 8/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))))))
(cos (- 2 (* 1/2 (/ (PI) n))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* -2 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* -2 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* i (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 4/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(* 2 i)
(* i (- (+ 2 (* 2 (/ 1 i))) (* 1/2 (/ (PI) (* i n)))))
(* i (+ 2 (* 2 (/ 1 i))))
(* 2 (cos (- (* 2 (+ 1 i)) (* 1/2 (/ (PI) n)))))
(cos (- (* 2 (+ 1 i)) (* 1/2 (/ (PI) n))))
(* -1 (* i (- (* -1 (/ (- 2 (* 1/2 (/ (PI) n))) i)) 2)))
(* 2 (cos (- (* 2 (- 1 (* -1 i))) (* 1/2 (/ (PI) n)))))
(cos (- (* 2 (- 1 (* -1 i))) (* 1/2 (/ (PI) n))))
(* -1/2 (/ (PI) n))
(/ (- (* 2 (* n (+ 1 i))) (* 1/2 (PI))) n)
(* 1/2 (/ (PI) n))
(* 2 (+ 1 i))
(+ (* -1/2 (/ (PI) n)) (* 2 (+ 1 i)))
(* 2 (cos (* 2 (+ 1 i))))
(+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n))
(+ (* -1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(+ (* -1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (+ (* -1/24 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) (pow n 3))) (+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n))))
(cos (* 2 (+ 1 i)))
(+ (cos (* 2 (+ 1 i))) (* 1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(- (+ (cos (* 2 (+ 1 i))) (* -1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2)))) (* -1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(- (+ (cos (* 2 (+ 1 i))) (+ (* -1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (* -1/48 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) (pow n 3))))) (* -1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (* 2 (+ 1 i))))) (* 1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) n))) n)) (* 2 (cos (* 2 (+ 1 i)))))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (* 2 (+ 1 i))))) (* -1 (/ (+ (* -1/4 (* (pow (PI) 2) (cos (* 2 (+ 1 i))))) (* -1/24 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) n))) n))) n)) (* 2 (cos (* 2 (+ 1 i)))))
(+ (cos (* 2 (+ 1 i))) (* -1 (/ (- (* 1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) n)) (* 1/2 (* (PI) (sin (* 2 (+ 1 i)))))) n)))
(+ (cos (* 2 (+ 1 i))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (cos (* 2 (+ 1 i))))) (* -1/48 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) n))) n)) (* 1/2 (* (PI) (sin (* 2 (+ 1 i)))))) n)))
Outputs
(- 2 (* 1/2 (/ (PI) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))
(- (+ 2 (* 2 i)) (* 1/2 (/ (PI) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 i))
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
(* 2 (cos (- 2 (* 1/2 (/ (PI) n)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(+ (* -4 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))))
(fma.f64 (*.f64 #s(literal -4 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* -4 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))))))
(fma.f64 (*.f64 #s(literal -4 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 2 binary64))))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 8/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) i) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (fma.f64 (*.f64 i i) #s(literal 8/3 binary64) #s(literal -4 binary64)))) i (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(cos (- 2 (* 1/2 (/ (PI) n))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* -2 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))
(fma.f64 (*.f64 #s(literal -2 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* -2 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(fma.f64 (fma.f64 i (*.f64 #s(literal -2 binary64) i) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* i (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 4/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(fma.f64 (fma.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (fma.f64 (*.f64 i i) #s(literal 4/3 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) i) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))) i (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* i (- (+ 2 (* 2 (/ 1 i))) (* 1/2 (/ (PI) (* i n)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) n) i) #s(literal 2 binary64)) i #s(literal 2 binary64))
(* i (+ 2 (* 2 (/ 1 i))))
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
(* 2 (cos (- (* 2 (+ 1 i)) (* 1/2 (/ (PI) n)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))
(cos (- (* 2 (+ 1 i)) (* 1/2 (/ (PI) n))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(* -1 (* i (- (* -1 (/ (- 2 (* 1/2 (/ (PI) n))) i)) 2)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) n) i) #s(literal 2 binary64)) i #s(literal 2 binary64))
(* 2 (cos (- (* 2 (- 1 (* -1 i))) (* 1/2 (/ (PI) n)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))
(cos (- (* 2 (- 1 (* -1 i))) (* 1/2 (/ (PI) n))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(* -1/2 (/ (PI) n))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))
(/ (- (* 2 (* n (+ 1 i))) (* 1/2 (PI))) n)
(fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(* 1/2 (/ (PI) n))
(*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))
(* 2 (+ 1 i))
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
(+ (* -1/2 (/ (PI) n)) (* 2 (+ 1 i)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(* 2 (cos (* 2 (+ 1 i))))
(*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) #s(literal 2 binary64))
(+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n))
(fma.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (PI.f64) n) (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) #s(literal 2 binary64)))
(+ (* -1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(fma.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) n) (PI.f64)) (/.f64 #s(literal -1/4 binary64) n) #s(literal 2 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (PI.f64) n)))
(+ (* -1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (+ (* -1/24 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) (pow n 3))) (+ (* 2 (cos (* 2 (+ 1 i)))) (/ (* (PI) (sin (* 2 (+ 1 i)))) n))))
(fma.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 3 binary64)) #s(literal -1/24 binary64) (/.f64 (PI.f64) n)) (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) n) (PI.f64)) (/.f64 #s(literal -1/4 binary64) n) #s(literal 2 binary64))))
(cos (* 2 (+ 1 i)))
(cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64)))
(+ (cos (* 2 (+ 1 i))) (* 1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(fma.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))))
(- (+ (cos (* 2 (+ 1 i))) (* -1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2)))) (* -1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(-.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) n) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal -1/2 binary64)))) n))
(- (+ (cos (* 2 (+ 1 i))) (+ (* -1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) (pow n 2))) (* -1/48 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) (pow n 3))))) (* -1/2 (/ (* (PI) (sin (* 2 (+ 1 i)))) n)))
(fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) n) (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64)))) (*.f64 (/.f64 (PI.f64) n) (PI.f64)) (fma.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64)))))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (* 2 (+ 1 i))))) (* 1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) n))) n)) (* 2 (cos (* 2 (+ 1 i)))))
(fma.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) n) (PI.f64)) (/.f64 #s(literal -1/4 binary64) n) #s(literal 2 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (PI.f64) n)))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (* 2 (+ 1 i))))) (* -1 (/ (+ (* -1/4 (* (pow (PI) 2) (cos (* 2 (+ 1 i))))) (* -1/24 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) n))) n))) n)) (* 2 (cos (* 2 (+ 1 i)))))
(fma.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) #s(literal 2 binary64) (/.f64 (fma.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (PI.f64) n)) #s(literal -1/24 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64)))))) n)) n))
(+ (cos (* 2 (+ 1 i))) (* -1 (/ (- (* 1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) n)) (* 1/2 (* (PI) (sin (* 2 (+ 1 i)))))) n)))
(-.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) n) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal -1/2 binary64)))) n))
(+ (cos (* 2 (+ 1 i))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (cos (* 2 (+ 1 i))))) (* -1/48 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) n))) n)) (* 1/2 (* (PI) (sin (* 2 (+ 1 i)))))) n)))
(+.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 1/2 binary64)) (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (PI.f64) n)) #s(literal -1/48 binary64) (*.f64 #s(literal -1/8 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64)))))) n)) n) (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))))

rewrite177.0ms (3%)

Memory
62.1MiB live, 62.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01359
02249
110049
275849
0870242
Stop Event
iter limit
node limit
iter limit
Counts
7 → 528
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (PI.f64))
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
(PI.f64)
Outputs
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (exp.f64 (log.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(neg.f64 (neg.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (PI.f64)))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (PI.f64) n) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
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(*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(neg.f64 (neg.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (PI.f64)))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval99.0ms (1.7%)

Memory
-37.9MiB live, 56.6MiB allocated
Compiler

Compiled 14 283 to 2 410 computations (83.1% saved)

prune33.0ms (0.6%)

Memory
-47.4MiB live, 32.3MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New47624500
Fresh000
Picked101
Done000
Total47724501
Accuracy
99.7%
Counts
501 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
97.5%
(*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
98.5%
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (sin.f64 (+.f64 i #s(literal 1 binary64))) (cos.f64 (+.f64 i #s(literal 1 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
98.4%
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
98.5%
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
95.4%
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))))))
95.6%
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
98.1%
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
98.1%
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))))
96.4%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
96.4%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
95.6%
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
98.7%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
98.3%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
96.4%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
95.8%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
96.4%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
96.6%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
95.6%
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i i #s(literal -1 binary64)) #s(literal 2 binary64)) n (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (-.f64 i #s(literal 1 binary64)) n))))
96.5%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) n) i) #s(literal 2 binary64)) i #s(literal 2 binary64)))))
19.4%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
9.5%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
9.2%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
11.9%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
Compiler

Compiled 1 732 to 878 computations (49.3% saved)

simplify118.0ms (2%)

Memory
21.9MiB live, 21.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
cost-diff0
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
cost-diff11
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
cost-diff0
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
cost-diff4
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
cost-diff20
(/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
cost-diff0
(fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
cost-diff0
(cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
cost-diff1
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) i)
cost-diff0
#s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))
cost-diff0
(cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i)))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
cost-diff0
(*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
cost-diff1
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
cost-diff1
(-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057695
0101642
1166632
2321612
3701612
41531602
53409601
65221601
76751601
08012589
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
#s(literal 2 binary64)
(-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(cos.f64 (*.f64 i #s(literal 2 binary64)))
(*.f64 i #s(literal 2 binary64))
i
(cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(PI.f64)
(*.f64 n #s(literal 2 binary64))
n
(*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(sin.f64 (*.f64 i #s(literal 2 binary64)))
(sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
#s(literal 2 binary64)
(cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i)))
#s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
i
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
#s(literal 2 binary64)
(cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
i
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(PI.f64)
(*.f64 n #s(literal 2 binary64))
n
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
(PI.f64)
(fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))
i
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 (PI.f64) n)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(literal 2 binary64)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))
#s(literal -1/2 binary64)
(/.f64 (PI.f64) n)
(PI.f64)
n
(cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))
i
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(*.f64 n #s(literal 2 binary64))
(sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 (fma.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))) (sin.f64 (*.f64 i #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) i)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(fma.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))) (sin.f64 (*.f64 i #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) i))))
(*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) i)))
(cos.f64 (*.f64 i #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -2 binary64) i))
(*.f64 i #s(literal 2 binary64))
i
(cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64)))
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) #s(literal 2 binary64))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 n #s(literal 2 binary64))
n
(*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal -2 binary64) i)))
(sin.f64 (*.f64 i #s(literal 2 binary64)))
(sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(sin.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(*.f64 (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 i #s(literal 2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i)))
(cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 i #s(literal 2 binary64))))
#s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))
#s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 i #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
i
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(cos.f64 (fma.f64 #s(literal -2 binary64) i (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))))
(fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
i
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) #s(literal 2 binary64))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))
(PI.f64)
(*.f64 n #s(literal 2 binary64))
n
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(cos.f64 (fma.f64 #s(literal -2 binary64) i (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))))
#s(literal 1 binary64)
(/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -2 binary64) i (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64)))))
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
(PI.f64)
(fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))
i
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(cos.f64 (fma.f64 #s(literal -2 binary64) i (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal -2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 (PI.f64) n)
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
#s(literal 2 binary64)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))
(cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))
(*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (PI.f64) n)
(PI.f64)
n
(cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
(cos.f64 (fma.f64 #s(literal -2 binary64) i #s(literal -2 binary64)))
(fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))
i
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))))
(sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
(sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))
(*.f64 n #s(literal 2 binary64))
(sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))

localize236.0ms (3.9%)

Memory
23.8MiB live, 96.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.484375
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
accuracy0.49288328223659034
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
accuracy0.6082905762304894
(sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy2.3293738707409193
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
accuracy0.3203125
(/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
accuracy0.328125
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
accuracy2.160881298910167
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
accuracy2.3293738707409193
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
accuracy0.07421875
(fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
accuracy0.1484375
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
accuracy0.23828125
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
accuracy2.160881298910167
(cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
accuracy0.0
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
accuracy0.0
(*.f64 #s(literal 2 binary64) i)
accuracy2.160881298910167
(cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i)))
accuracy49.633166598881566
#s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))
accuracy0.34603500976844204
(*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
accuracy0.35958631062715135
(-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
accuracy0.375
(*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
accuracy1.7082887220114686
(cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
Samples
192.0ms256×0valid
Compiler

Compiled 748 to 58 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-cos: 55.0ms (35.3% of total)
ival-mult: 45.0ms (28.8% of total)
ival-sin: 27.0ms (17.3% of total)
ival-div: 12.0ms (7.7% of total)
ival-add: 7.0ms (4.5% of total)
ival-sub: 4.0ms (2.6% of total)
ival-pow2: 4.0ms (2.6% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (1.3%)

Memory
26.2MiB live, 26.2MiB allocated
Counts
25 → 192
Calls
Call 1
Inputs
(-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i)))
#s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
Outputs
(cos (- 2 (* 1/2 (/ (PI) n))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* -2 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* -2 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* i (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 4/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(* 2 (cos (- 2 (* 1/2 (/ (PI) n)))))
(+ (* -4 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* -4 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))))))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 8/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* -2 (* (pow i 2) (cos (- 2 (* 1/2 (/ (PI) n)))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* (pow i 2) (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 2/3 (* (pow i 2) (cos (- 2 (* 1/2 (/ (PI) n)))))))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* (pow i 2) (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* (pow i 2) (+ (* -4/45 (* (pow i 2) (cos (- 2 (* 1/2 (/ (PI) n)))))) (* 2/3 (cos (- 2 (* 1/2 (/ (PI) n))))))))))
(- 2 (* 1/2 (/ (PI) n)))
(- (+ 2 (* 2 i)) (* 1/2 (/ (PI) n)))
(* 2 i)
(/ 1 (cos (+ 2 (* -1/2 (/ (PI) n)))))
(+ (* 2 (/ (* i (sin (+ 2 (* -1/2 (/ (PI) n))))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))) (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n))))))
(+ (* i (- (* i (- (* 2 (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n)))))) (* -4 (/ (pow (sin (+ 2 (* -1/2 (/ (PI) n)))) 2) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 3))))) (* -2 (/ (sin (+ 2 (* -1/2 (/ (PI) n)))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))))) (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n))))))
(+ (* i (- (* i (- (+ (* -1 (* i (+ (* -4 (/ (sin (+ 2 (* -1/2 (/ (PI) n)))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))) (+ (* -2 (/ (* (sin (+ 2 (* -1/2 (/ (PI) n)))) (- (* 2 (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n)))))) (* -4 (/ (pow (sin (+ 2 (* -1/2 (/ (PI) n)))) 2) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 3))))) (cos (+ 2 (* -1/2 (/ (PI) n)))))) (* 4/3 (/ (sin (+ 2 (* -1/2 (/ (PI) n)))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))))))) (* 2 (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n))))))) (* -4 (/ (pow (sin (+ 2 (* -1/2 (/ (PI) n)))) 2) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 3))))) (* -2 (/ (sin (+ 2 (* -1/2 (/ (PI) n)))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))))) (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n))))))
(cos (+ 2 (* -1/2 (/ (PI) n))))
(+ (cos (+ 2 (* -1/2 (/ (PI) n)))) (* -2 (* i (sin (+ 2 (* -1/2 (/ (PI) n)))))))
(+ (cos (+ 2 (* -1/2 (/ (PI) n)))) (* i (- (* -2 (* i (cos (+ 2 (* -1/2 (/ (PI) n)))))) (* 2 (sin (+ 2 (* -1/2 (/ (PI) n))))))))
(+ (cos (+ 2 (* -1/2 (/ (PI) n)))) (* i (- (* i (+ (* -2 (cos (+ 2 (* -1/2 (/ (PI) n))))) (* 4/3 (* i (sin (+ 2 (* -1/2 (/ (PI) n)))))))) (* 2 (sin (+ 2 (* -1/2 (/ (PI) n))))))))
(* 2 (cos (+ 2 (* -1/2 (/ (PI) n)))))
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(pow (cos (+ 2 (* 2 i))) 2)
(+ (* -1/4 (/ (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2)) (pow n 2))) (pow (cos (+ 2 (* 2 i))) 2))
(+ (* -1/4 (/ (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2)) (pow n 2))) (+ (/ (* (pow (cos (+ 2 (* 2 i))) 2) (+ (* 1/192 (pow (PI) 4)) (* 1/64 (pow (PI) 4)))) (pow n 4)) (pow (cos (+ 2 (* 2 i))) 2)))
(+ (* -1/4 (/ (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2)) (pow n 2))) (+ (/ (* (pow (cos (+ 2 (* 2 i))) 2) (+ (* -1/1536 (pow (PI) 6)) (* -1/23040 (pow (PI) 6)))) (pow n 6)) (+ (/ (* (pow (cos (+ 2 (* 2 i))) 2) (+ (* 1/192 (pow (PI) 4)) (* 1/64 (pow (PI) 4)))) (pow n 4)) (pow (cos (+ 2 (* 2 i))) 2))))
(cos 2)
(+ (cos 2) (* 1/2 (/ (* (PI) (sin 2)) n)))
(- (+ (cos 2) (* -1/8 (/ (* (pow (PI) 2) (cos 2)) (pow n 2)))) (* -1/2 (/ (* (PI) (sin 2)) n)))
(- (+ (cos 2) (+ (* -1/8 (/ (* (pow (PI) 2) (cos 2)) (pow n 2))) (* -1/48 (/ (* (pow (PI) 3) (sin 2)) (pow n 3))))) (* -1/2 (/ (* (PI) (sin 2)) n)))
(* (sin 2) (sin (* 2 i)))
(+ (* -1/2 (/ (* (PI) (* (cos 2) (sin (* 2 i)))) n)) (* (sin 2) (sin (* 2 i))))
(+ (* -1/2 (/ (* (PI) (* (cos 2) (sin (* 2 i)))) n)) (+ (* -1/8 (/ (* (pow (PI) 2) (* (sin 2) (sin (* 2 i)))) (pow n 2))) (* (sin 2) (sin (* 2 i)))))
(+ (* -1/2 (/ (* (PI) (* (cos 2) (sin (* 2 i)))) n)) (+ (* -1/8 (/ (* (pow (PI) 2) (* (sin 2) (sin (* 2 i)))) (pow n 2))) (+ (* 1/48 (/ (* (pow (PI) 3) (* (cos 2) (sin (* 2 i)))) (pow n 3))) (* (sin 2) (sin (* 2 i))))))
(+ (* -1/2 (/ (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i))))) n)) (+ (* 1/2 (/ (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i))))) n)) (pow (cos (+ 2 (* 2 i))) 2)))
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(- (+ (* -1 (/ (- (* -1/2 (* (PI) (* (cos (* 2 i)) (sin 2)))) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* (cos 2) (cos (* 2 i)))) (* (sin 2) (sin (* 2 i))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (* (pow (PI) 2) (* (cos 2) (cos (* 2 i))))) (* -1/8 (* (pow (PI) 2) (* (sin 2) (sin (* 2 i)))))) n)) (* -1/2 (* (PI) (* (cos (* 2 i)) (sin 2))))) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* (cos 2) (cos (* 2 i)))) (* (sin 2) (sin (* 2 i))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (* (pow (PI) 3) (* (cos (* 2 i)) (sin 2)))) (* -1/48 (* (pow (PI) 3) (* (cos 2) (sin (* 2 i)))))) n)) (* -1/8 (* (pow (PI) 2) (* (cos 2) (cos (* 2 i)))))) (* -1/8 (* (pow (PI) 2) (* (sin 2) (sin (* 2 i)))))) n)) (* -1/2 (* (PI) (* (cos (* 2 i)) (sin 2))))) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* (cos 2) (cos (* 2 i)))) (* (sin 2) (sin (* 2 i))))
(+ (* -2 (/ (- (* -1/2 (* (PI) (* (cos (* 2 i)) (sin 2)))) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* 2 (- (* (cos 2) (cos (* 2 i))) (* (sin 2) (sin (* 2 i))))))
(+ (* -1 (/ (+ (* -2 (/ (- (* -1/8 (* (pow (PI) 2) (* (cos 2) (cos (* 2 i))))) (* -1/8 (* (pow (PI) 2) (* (sin 2) (sin (* 2 i)))))) n)) (* 2 (- (* -1/2 (* (PI) (* (cos (* 2 i)) (sin 2)))) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))))) n)) (* 2 (- (* (cos 2) (cos (* 2 i))) (* (sin 2) (sin (* 2 i))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* 1/48 (* (pow (PI) 3) (* (cos (* 2 i)) (sin 2)))) (* -1/48 (* (pow (PI) 3) (* (cos 2) (sin (* 2 i)))))) n)) (* 2 (- (* -1/8 (* (pow (PI) 2) (* (cos 2) (cos (* 2 i))))) (* -1/8 (* (pow (PI) 2) (* (sin 2) (sin (* 2 i)))))))) n)) (* 2 (- (* -1/2 (* (PI) (* (cos (* 2 i)) (sin 2)))) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))))) n)) (* 2 (- (* (cos 2) (cos (* 2 i))) (* (sin 2) (sin (* 2 i))))))
(+ (* -1 (/ (+ (* -1/2 (* (PI) (* (cos (* 2 i)) (sin 2)))) (* 1/8 (/ (* (pow (PI) 2) (* (cos 2) (cos (* 2 i)))) n))) n)) (* (cos 2) (cos (* 2 i))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (* (cos 2) (cos (* 2 i))))) (* -1/48 (/ (* (pow (PI) 3) (* (cos (* 2 i)) (sin 2))) n))) n)) (* -1/2 (* (PI) (* (cos (* 2 i)) (sin 2))))) n)) (* (cos 2) (cos (* 2 i))))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (* 2 (+ 1 i))))) (* 1/4 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) n))) n)) (* 2 (cos (* 2 (+ 1 i)))))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (* 2 (+ 1 i))))) (* -1 (/ (+ (* -1/4 (* (pow (PI) 2) (cos (* 2 (+ 1 i))))) (* -1/24 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) n))) n))) n)) (* 2 (cos (* 2 (+ 1 i)))))
(+ (cos (* 2 (+ 1 i))) (* -1 (/ (- (* 1/8 (/ (* (pow (PI) 2) (cos (* 2 (+ 1 i)))) n)) (* 1/2 (* (PI) (sin (* 2 (+ 1 i)))))) n)))
(+ (cos (* 2 (+ 1 i))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (cos (* 2 (+ 1 i))))) (* -1/48 (/ (* (pow (PI) 3) (sin (* 2 (+ 1 i)))) n))) n)) (* 1/2 (* (PI) (sin (* 2 (+ 1 i)))))) n)))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (+ 2 (* 2 i))))) (* 1/4 (/ (* (pow (PI) 2) (cos (+ 2 (* 2 i)))) n))) n)) (* 2 (cos (+ 2 (* 2 i)))))
(+ (* -1 (/ (+ (* -1 (* (PI) (sin (+ 2 (* 2 i))))) (* -1 (/ (+ (* -1/4 (* (pow (PI) 2) (cos (+ 2 (* 2 i))))) (* -1/24 (/ (* (pow (PI) 3) (sin (+ 2 (* 2 i)))) n))) n))) n)) (* 2 (cos (+ 2 (* 2 i)))))
(+ (cos (+ 2 (* 2 i))) (* -1 (/ (- (* 1/8 (/ (* (pow (PI) 2) (cos (+ 2 (* 2 i)))) n)) (* 1/2 (* (PI) (sin (+ 2 (* 2 i)))))) n)))
(+ (cos (+ 2 (* 2 i))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (cos (+ 2 (* 2 i))))) (* -1/48 (/ (* (pow (PI) 3) (sin (+ 2 (* 2 i)))) n))) n)) (* 1/2 (* (PI) (sin (+ 2 (* 2 i)))))) n)))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow (PI) 3) (sin (+ 2 (* 2 i)))) (* n (pow (cos (+ 2 (* 2 i))) 2)))) (+ (* 1/48 (/ (* (pow (PI) 3) (sin (+ 2 (* 2 i)))) (* n (pow (cos (+ 2 (* 2 i))) 2)))) (* 1/2 (/ (* (PI) (* (sin (+ 2 (* 2 i))) (+ (* -1/4 (/ (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2)) (pow (cos (+ 2 (* 2 i))) 3))) (* -1/8 (/ (pow (PI) 2) (cos (+ 2 (* 2 i)))))))) (* n (cos (+ 2 (* 2 i)))))))) (+ (* -1/4 (/ (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2)) (pow (cos (+ 2 (* 2 i))) 3))) (* -1/8 (/ (pow (PI) 2) (cos (+ 2 (* 2 i))))))) n)) (* -1/2 (/ (* (PI) (sin (+ 2 (* 2 i)))) (pow (cos (+ 2 (* 2 i))) 2)))) n)) (/ 1 (cos (+ 2 (* 2 i)))))
(+ (cos (+ 2 (* 2 i))) (* -1 (/ (- (* 1/8 (/ (* (pow (PI) 2) (cos (+ 2 (* 2 i)))) n)) (* -1/2 (* (PI) (sin (+ 2 (* 2 i)))))) n)))
(+ (cos (+ 2 (* 2 i))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (cos (+ 2 (* 2 i))))) (* 1/48 (/ (* (pow (PI) 3) (sin (+ 2 (* 2 i)))) n))) n)) (* -1/2 (* (PI) (sin (+ 2 (* 2 i)))))) n)))
(+ (* -1 (/ (+ (* -2 (/ (- (* -1/4 (* (pow (PI) 2) (cos (+ 2 (* 2 i))))) (+ (* -1/4 (/ (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2)) (cos (+ 2 (* 2 i))))) (+ (* -1/8 (* (pow (PI) 2) (cos (+ 2 (* 2 i))))) (* 1/4 (/ (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2)) (cos (+ 2 (* 2 i)))))))) n)) (* -1 (* (PI) (sin (+ 2 (* 2 i)))))) n)) (* 2 (cos (+ 2 (* 2 i)))))
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(+ (cos 2) (* -1 (/ (- (* 1/8 (/ (* (pow (PI) 2) (cos 2)) n)) (* 1/2 (* (PI) (sin 2)))) n)))
(+ (cos 2) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (cos 2))) (* -1/48 (/ (* (pow (PI) 3) (sin 2)) n))) n)) (* 1/2 (* (PI) (sin 2)))) n)))
(+ (* -1 (/ (+ (* 1/8 (/ (* (pow (PI) 2) (* (sin 2) (sin (* 2 i)))) n)) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* (sin 2) (sin (* 2 i))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (* (sin 2) (sin (* 2 i))))) (* 1/48 (/ (* (pow (PI) 3) (* (cos 2) (sin (* 2 i)))) n))) n)) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* (sin 2) (sin (* 2 i))))
(+ (* -1 (/ (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2))) (* -1/4 (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2)))) n)) (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (+ (* -1/48 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (+ (* 1/48 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/16 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i))))))))) n)) (+ (* -1/4 (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2))) (* -1/4 (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2))))) n)) (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
n
@inf
((- (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2)))))) (- 2 (/ (PI) (* n 2))) (* 2 (- (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2))))))) (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 i) (* 2 (cos (+ (* i 2) (- 2 (/ (PI) (* n 2)))))) (cos (+ (* i 2) (- 2 (/ (PI) (* n 2))))) (+ (* i 2) (- 2 (/ (PI) (* n 2)))) (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))) (/ 1 (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))))) (* 2 (/ 1 (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* 2 (- (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (/ (pow (* (sin (/ (PI) (* n 2))) (sin (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))))) (- (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (/ (pow (* (sin (/ (PI) (* n 2))) (sin (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))) (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (- 2 (/ (PI) (* n 2)))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2))))) (/ (PI) (* n 2)) (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (sin (+ (* i 2) 2)))
14.0ms
i
@0
((- (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2)))))) (- 2 (/ (PI) (* n 2))) (* 2 (- (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2))))))) (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 i) (* 2 (cos (+ (* i 2) (- 2 (/ (PI) (* n 2)))))) (cos (+ (* i 2) (- 2 (/ (PI) (* n 2))))) (+ (* i 2) (- 2 (/ (PI) (* n 2)))) (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))) (/ 1 (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))))) (* 2 (/ 1 (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* 2 (- (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (/ (pow (* (sin (/ (PI) (* n 2))) (sin (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))))) (- (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (/ (pow (* (sin (/ (PI) (* n 2))) (sin (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))) (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (- 2 (/ (PI) (* n 2)))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2))))) (/ (PI) (* n 2)) (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (sin (+ (* i 2) 2)))
11.0ms
i
@inf
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10.0ms
n
@-inf
((- (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2)))))) (- 2 (/ (PI) (* n 2))) (* 2 (- (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2))))))) (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 i) (* 2 (cos (+ (* i 2) (- 2 (/ (PI) (* n 2)))))) (cos (+ (* i 2) (- 2 (/ (PI) (* n 2))))) (+ (* i 2) (- 2 (/ (PI) (* n 2)))) (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))) (/ 1 (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))))) (* 2 (/ 1 (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* 2 (- (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (/ (pow (* (sin (/ (PI) (* n 2))) (sin (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))))) (- (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (/ (pow (* (sin (/ (PI) (* n 2))) (sin (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))) (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (- 2 (/ (PI) (* n 2)))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2))))) (/ (PI) (* n 2)) (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (sin (+ (* i 2) 2)))
10.0ms
i
@-inf
((- (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2)))))) (- 2 (/ (PI) (* n 2))) (* 2 (- (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2))))))) (* (cos (* i 2)) (cos (- 2 (/ (PI) (* n 2))))) (* 2 (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))))) (cos (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n)))) (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (* 2 i) (* 2 (cos (+ (* i 2) (- 2 (/ (PI) (* n 2)))))) (cos (+ (* i 2) (- 2 (/ (PI) (* n 2))))) (+ (* i 2) (- 2 (/ (PI) (* n 2)))) (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))) (/ 1 (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))))) (* 2 (/ 1 (/ (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (* 2 (- (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (/ (pow (* (sin (/ (PI) (* n 2))) (sin (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))))) (- (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (/ (pow (* (sin (/ (PI) (* n 2))) (sin (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))))) (/ (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (pow (* (cos (* -1/2 (/ (PI) n))) (cos (+ (* i 2) 2))) 2) (cos (- 2 (/ (PI) (* n 2)))) (* (sin (* i 2)) (sin (- 2 (/ (PI) (* n 2))))) (/ (PI) (* n 2)) (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (* (cos (+ (* -1/2 (/ (PI) n)) (+ (* i 2) 2))) (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2)))) (sin (+ (* i 2) 2)))

simplify349.0ms (5.8%)

Memory
-170.2MiB live, 71.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105212162
1340611635
0871110561
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(cos (- 2 (* 1/2 (/ (PI) n))))
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(- 2 (* 1/2 (/ (PI) n)))
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(* 2 i)
(/ 1 (cos (+ 2 (* -1/2 (/ (PI) n)))))
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(+ (cos 2) (* -1 (/ (- (* 1/8 (/ (* (pow (PI) 2) (cos 2)) n)) (* 1/2 (* (PI) (sin 2)))) n)))
(+ (cos 2) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (cos 2))) (* -1/48 (/ (* (pow (PI) 3) (sin 2)) n))) n)) (* 1/2 (* (PI) (sin 2)))) n)))
(+ (* -1 (/ (+ (* 1/8 (/ (* (pow (PI) 2) (* (sin 2) (sin (* 2 i)))) n)) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* (sin 2) (sin (* 2 i))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (* (sin 2) (sin (* 2 i))))) (* 1/48 (/ (* (pow (PI) 3) (* (cos 2) (sin (* 2 i)))) n))) n)) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* (sin 2) (sin (* 2 i))))
(+ (* -1 (/ (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2))) (* -1/4 (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2)))) n)) (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (+ (* -1/48 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (+ (* 1/48 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/16 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i))))))))) n)) (+ (* -1/4 (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2))) (* -1/4 (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2))))) n)) (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
Outputs
(cos (- 2 (* 1/2 (/ (PI) n))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* -2 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))
(fma.f64 (*.f64 #s(literal -2 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* -2 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) i (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))) i (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* i (- (* i (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 4/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))) (* 2 (sin (- 2 (* 1/2 (/ (PI) n))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -2 binary64))) i (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -2 binary64))) i (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(* 2 (cos (- 2 (* 1/2 (/ (PI) n)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(+ (* -4 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))) (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))))
(fma.f64 (*.f64 i #s(literal -4 binary64)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* -4 (* i (cos (- 2 (* 1/2 (/ (PI) n)))))))))
(fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) i (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))) i (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+ (* 2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (- 2 (* 1/2 (/ (PI) n))))) (* i (+ (* -4 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 8/3 (* i (sin (- 2 (* 1/2 (/ (PI) n)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 8/3 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -4 binary64))) i (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -4 binary64))) i (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* -2 (* (pow i 2) (cos (- 2 (* 1/2 (/ (PI) n)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) i) i #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* (pow i 2) (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* 2/3 (* (pow i 2) (cos (- 2 (* 1/2 (/ (PI) n)))))))))
(fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (fma.f64 #s(literal 2/3 binary64) (*.f64 i i) #s(literal -2 binary64))) (*.f64 i i) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(+ (cos (- 2 (* 1/2 (/ (PI) n)))) (* (pow i 2) (+ (* -2 (cos (- 2 (* 1/2 (/ (PI) n))))) (* (pow i 2) (+ (* -4/45 (* (pow i 2) (cos (- 2 (* 1/2 (/ (PI) n)))))) (* 2/3 (cos (- 2 (* 1/2 (/ (PI) n))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) i) i #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (fma.f64 #s(literal -4/45 binary64) (*.f64 i i) #s(literal 2/3 binary64)))))
(- 2 (* 1/2 (/ (PI) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))
(- (+ 2 (* 2 i)) (* 1/2 (/ (PI) n)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(/ 1 (cos (+ 2 (* -1/2 (/ (PI) n)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(+ (* 2 (/ (* i (sin (+ 2 (* -1/2 (/ (PI) n))))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))) (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n))))))
(fma.f64 (*.f64 i (/.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(+ (* i (- (* i (- (* 2 (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n)))))) (* -4 (/ (pow (sin (+ 2 (* -1/2 (/ (PI) n)))) 2) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 3))))) (* -2 (/ (sin (+ 2 (* -1/2 (/ (PI) n)))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))))) (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -4 binary64))) i (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) i (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(+ (* i (- (* i (- (+ (* -1 (* i (+ (* -4 (/ (sin (+ 2 (* -1/2 (/ (PI) n)))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))) (+ (* -2 (/ (* (sin (+ 2 (* -1/2 (/ (PI) n)))) (- (* 2 (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n)))))) (* -4 (/ (pow (sin (+ 2 (* -1/2 (/ (PI) n)))) 2) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 3))))) (cos (+ 2 (* -1/2 (/ (PI) n)))))) (* 4/3 (/ (sin (+ 2 (* -1/2 (/ (PI) n)))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))))))) (* 2 (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n))))))) (* -4 (/ (pow (sin (+ 2 (* -1/2 (/ (PI) n)))) 2) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 3))))) (* -2 (/ (sin (+ 2 (* -1/2 (/ (PI) n)))) (pow (cos (+ 2 (* -1/2 (/ (PI) n)))) 2))))) (/ 1 (cos (+ 2 (* -1/2 (/ (PI) n))))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 i) (fma.f64 (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -4 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 4/3 binary64) (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -4 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal -4 binary64)))) i (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) i (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(cos (+ 2 (* -1/2 (/ (PI) n))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))
(+ (cos (+ 2 (* -1/2 (/ (PI) n)))) (* -2 (* i (sin (+ 2 (* -1/2 (/ (PI) n)))))))
(fma.f64 (*.f64 #s(literal -2 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(+ (cos (+ 2 (* -1/2 (/ (PI) n)))) (* i (- (* -2 (* i (cos (+ 2 (* -1/2 (/ (PI) n)))))) (* 2 (sin (+ 2 (* -1/2 (/ (PI) n))))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) i (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))) i (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(+ (cos (+ 2 (* -1/2 (/ (PI) n)))) (* i (- (* i (+ (* -2 (cos (+ 2 (* -1/2 (/ (PI) n))))) (* 4/3 (* i (sin (+ 2 (* -1/2 (/ (PI) n)))))))) (* 2 (sin (+ 2 (* -1/2 (/ (PI) n))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -2 binary64))) i (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -2 binary64))) i (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))
(* 2 (cos (+ 2 (* -1/2 (/ (PI) n)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(+ (* -4 (* i (sin (+ 2 (* -1/2 (/ (PI) n)))))) (* 2 (cos (+ 2 (* -1/2 (/ (PI) n))))))
(fma.f64 (*.f64 i #s(literal -4 binary64)) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+ (* 2 (cos (+ 2 (* -1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (+ 2 (* -1/2 (/ (PI) n))))) (* -4 (* i (cos (+ 2 (* -1/2 (/ (PI) n)))))))))
(fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) i (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))))) i (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+ (* 2 (cos (+ 2 (* -1/2 (/ (PI) n))))) (* i (+ (* -4 (sin (+ 2 (* -1/2 (/ (PI) n))))) (* i (+ (* -4 (cos (+ 2 (* -1/2 (/ (PI) n))))) (* 8/3 (* i (sin (+ 2 (* -1/2 (/ (PI) n)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 8/3 binary64) i) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -4 binary64))) i (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal -4 binary64))) i (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(cos (+ 2 (* 1/2 (/ (PI) n))))
(cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64)))
(+ (cos (+ 2 (* 1/2 (/ (PI) n)))) (* -2 (* i (sin (+ 2 (* 1/2 (/ (PI) n)))))))
(fma.f64 (*.f64 #s(literal -2 binary64) i) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))))
(+ (cos (+ 2 (* 1/2 (/ (PI) n)))) (* i (- (* -2 (* i (cos (+ 2 (* 1/2 (/ (PI) n)))))) (* 2 (sin (+ 2 (* 1/2 (/ (PI) n))))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) i (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))))) i (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))))
(+ (cos (+ 2 (* 1/2 (/ (PI) n)))) (* i (- (* i (+ (* -2 (cos (+ 2 (* 1/2 (/ (PI) n))))) (* 4/3 (* i (sin (+ 2 (* 1/2 (/ (PI) n)))))))) (* 2 (sin (+ 2 (* 1/2 (/ (PI) n))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) i) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))) i (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))) i (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))))
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(sin 2)
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (PI) 2) (* (sin 2) (sin (* 2 i))))) (* 1/48 (/ (* (pow (PI) 3) (* (cos 2) (sin (* 2 i)))) n))) n)) (* 1/2 (* (PI) (* (cos 2) (sin (* 2 i)))))) n)) (* (sin 2) (sin (* 2 i))))
(fma.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i)) (sin.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i)) (cos.f64 #s(literal 2 binary64)))) (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (PI.f64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i)) (cos.f64 #s(literal 2 binary64)))) n)) (neg.f64 n))) (neg.f64 n)))
(+ (* -1 (/ (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
(-.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) n))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2))) (* -1/4 (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2)))) n)) (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
(-.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64))))) n) n))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (+ (* -1/48 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (+ (* 1/48 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/16 (* (pow (PI) 3) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i))))))))) n)) (+ (* -1/4 (* (pow (PI) 2) (pow (cos (+ 2 (* 2 i))) 2))) (* -1/4 (* (pow (PI) 2) (pow (sin (+ 2 (* 2 i))) 2))))) n)) (+ (* -1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))) (* 1/2 (* (PI) (* (cos (+ 2 (* 2 i))) (sin (+ 2 (* 2 i)))))))) n)) (pow (cos (+ 2 (* 2 i))) 2))
(-.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (neg.f64 n))) (neg.f64 n)) n))

rewrite202.0ms (3.4%)

Memory
-9.2MiB live, 82.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057485
0101407
1411394
23548296
08574292
Stop Event
iter limit
node limit
iter limit
Counts
25 → 817
Calls
Call 1
Inputs
(-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i)))
#s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))
(*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))
(/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (pow.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (-.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (neg.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (neg.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 4 binary64))
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(fma.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (sin.f64 (+.f64 #s(literal 1 binary64) i)) (cos.f64 (+.f64 #s(literal 1 binary64) i))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (+.f64 #s(literal 1 binary64) i)) (cos.f64 (+.f64 #s(literal 1 binary64) i))))
(pow.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i)))))))
(fma.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i))))
(fma.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i))))
(fma.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i)) (cos.f64 #s(literal 2 binary64)) (*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) i)) (sin.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i))))
(sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -2 binary64)))) (cos.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal -2 binary64)))) (sin.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i))))
(+.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) i))))

eval166.0ms (2.8%)

Memory
-19.5MiB live, 131.9MiB allocated
Compiler

Compiled 59 248 to 4 965 computations (91.6% saved)

prune134.0ms (2.2%)

Memory
-11.4MiB live, 81.3MiB allocated
Pruning

55 alts after pruning (53 fresh and 2 done)

PrunedKeptTotal
New1 028461 074
Fresh12719
Picked325
Done000
Total1 043551 098
Accuracy
99.9%
Counts
1 098 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))))
96.4%
(/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
96.4%
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))))
96.4%
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
96.4%
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
96.4%
(*.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
95.6%
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
95.6%
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
97.5%
(*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
96.8%
(*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))))))
98.5%
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (sin.f64 (+.f64 i #s(literal 1 binary64))) (cos.f64 (+.f64 i #s(literal 1 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
48.5%
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))))))
98.8%
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))))
98.4%
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
98.7%
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))))))
98.5%
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
50.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
98.4%
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))))))
95.6%
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
95.1%
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))))
95.7%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
96.8%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))))))
95.6%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
95.1%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))
96.3%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
96.3%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
96.4%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))))
51.0%
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))))
99.0%
(*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
96.4%
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i)))) (/.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))))))
95.8%
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
95.6%
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
95.6%
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 n (PI.f64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
99.0%
(*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
98.7%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i)))))
99.0%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (fma.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))) (sin.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
99.0%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (cos.f64 #s(literal 2 binary64)) (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
98.9%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
99.0%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
98.7%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
97.8%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
98.7%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
98.8%
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64)))))))
96.4%
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))))
96.4%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
51.0%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))))
96.4%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
96.6%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
6.9%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
19.4%
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) #s(literal 2 binary64)))))
9.5%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
95.9%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (/.f64 (fma.f64 (fma.f64 n i n) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) n))))
96.2%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)))))
9.2%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
11.9%
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
Compiler

Compiled 4 833 to 1 592 computations (67.1% saved)

regimes126.0ms (2.1%)

Memory
-3.1MiB live, 75.6MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (/.f64 (fma.f64 (fma.f64 n i n) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) n) i) #s(literal 2 binary64)) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i i #s(literal -1 binary64)) #s(literal 2 binary64)) n (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (-.f64 i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64)))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (sin.f64 (+.f64 i #s(literal 1 binary64))) (cos.f64 (+.f64 i #s(literal 1 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (cos.f64 #s(literal 2 binary64)) (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (fma.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))) (sin.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i)))) (/.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))))))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 n (PI.f64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (+.f64 i #s(literal 1 binary64)) (/.f64 (PI.f64) n) (fma.f64 (pow.f64 (/.f64 (PI.f64) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))))))))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (cos.f64 #s(literal 2 binary64)) (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
Calls

9 calls:

15.0ms
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
13.0ms
n
13.0ms
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
13.0ms
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
13.0ms
(*.f64 #s(literal 2 binary64) n)
Results
AccuracySegmentsBranch
99.0%1i
99.0%1n
99.0%1(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
99.0%1(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
99.0%1(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
99.0%1(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
99.0%1(+.f64 i #s(literal 1 binary64))
99.0%1(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
99.0%1(*.f64 #s(literal 2 binary64) n)
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes91.0ms (1.5%)

Memory
-24.6MiB live, 54.6MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (/.f64 (fma.f64 (fma.f64 n i n) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) n) i) #s(literal 2 binary64)) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i i #s(literal -1 binary64)) #s(literal 2 binary64)) n (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (-.f64 i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64)))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (sin.f64 (+.f64 i #s(literal 1 binary64))) (cos.f64 (+.f64 i #s(literal 1 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (cos.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) (sqrt.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))))) (*.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
Outputs
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))))
Calls

9 calls:

11.0ms
i
10.0ms
(*.f64 #s(literal 2 binary64) n)
10.0ms
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
10.0ms
(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
10.0ms
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
Results
AccuracySegmentsBranch
98.8%1i
98.8%1n
98.8%1(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
98.8%1(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
98.8%1(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
98.8%1(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
98.8%1(+.f64 i #s(literal 1 binary64))
98.8%1(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
98.8%1(*.f64 #s(literal 2 binary64) n)
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes70.0ms (1.2%)

Memory
43.9MiB live, 43.9MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (/.f64 (fma.f64 (fma.f64 n i n) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) n) i) #s(literal 2 binary64)) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i i #s(literal -1 binary64)) #s(literal 2 binary64)) n (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (-.f64 i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))))))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i)))))
Calls

9 calls:

8.0ms
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
8.0ms
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
7.0ms
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
7.0ms
(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
7.0ms
(+.f64 i #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.7%1i
98.7%1n
98.7%1(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
98.7%1(+.f64 i #s(literal 1 binary64))
98.7%1(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
98.7%1(*.f64 #s(literal 2 binary64) n)
98.7%1(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
98.7%1(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
98.7%1(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes67.0ms (1.1%)

Memory
-36.9MiB live, 42.4MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (/.f64 (fma.f64 (fma.f64 n i n) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) n) i) #s(literal 2 binary64)) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i i #s(literal -1 binary64)) #s(literal 2 binary64)) n (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (-.f64 i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
Outputs
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
Calls

9 calls:

8.0ms
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
7.0ms
(*.f64 #s(literal 2 binary64) n)
7.0ms
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
7.0ms
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
7.0ms
i
Results
AccuracySegmentsBranch
98.5%1i
98.5%1(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
98.5%1(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
98.5%1(+.f64 i #s(literal 1 binary64))
98.5%1n
98.5%1(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
98.5%1(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
98.5%1(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
98.5%1(*.f64 #s(literal 2 binary64) n)
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes63.0ms (1.1%)

Memory
46.8MiB live, 46.8MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (/.f64 (fma.f64 (fma.f64 n i n) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64))) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (PI.f64) n) i) #s(literal 2 binary64)) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i i #s(literal -1 binary64)) #s(literal 2 binary64)) n (*.f64 (-.f64 i #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (-.f64 i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 2 binary64)) (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ (* (/ 1/2 n) (PI)) (+ (* i 2) 2))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) i))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (*.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) i) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (PI.f64) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
Calls

9 calls:

8.0ms
n
7.0ms
(+.f64 i #s(literal 1 binary64))
7.0ms
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
7.0ms
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
7.0ms
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
Results
AccuracySegmentsBranch
96.6%1(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
96.6%1n
96.6%1(*.f64 #s(literal 2 binary64) n)
96.6%1i
96.6%1(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
96.6%1(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
96.6%1(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
96.6%1(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
96.6%1(+.f64 i #s(literal 1 binary64))
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes19.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(approx (- 2 (/ (PI) (* n 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))))))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
Calls

9 calls:

2.0ms
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
2.0ms
(+.f64 i #s(literal 1 binary64))
2.0ms
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
2.0ms
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
2.0ms
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
Results
AccuracySegmentsBranch
19.4%1(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
19.4%1(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
19.4%1n
19.4%1(*.f64 #s(literal 2 binary64) n)
19.4%1(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
19.4%1i
19.4%1(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
19.4%1(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
19.4%1(+.f64 i #s(literal 1 binary64))
Compiler

Compiled 63 to 62 computations (1.6% saved)

regimes12.0ms (0.2%)

Memory
-68.5MiB live, 13.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
Calls

9 calls:

3.0ms
(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
1.0ms
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
1.0ms
(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
1.0ms
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
1.0ms
(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
9.2%1i
9.2%1(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))
9.2%1(*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64)))
9.2%1(+.f64 i #s(literal 1 binary64))
9.2%1(/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))
9.2%1(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n)))))
9.2%1(cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 i #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 2 binary64) n))))
9.2%1n
9.2%1(*.f64 #s(literal 2 binary64) n)
Compiler

Compiled 63 to 62 computations (1.6% saved)

simplify83.0ms (1.4%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066168
1104168
2181168
3364168
4561168
5952168
61563168
74522168
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (cos.f64 #s(literal 2 binary64)) (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))
Outputs
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 i #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64))) (cos.f64 #s(literal 2 binary64)) (*.f64 (sin.f64 #s(literal 2 binary64)) (sin.f64 (*.f64 (/.f64 (PI.f64) n) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 i #s(literal 2 binary64))) (sin.f64 (-.f64 #s(literal 2 binary64) (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) i))) (*.f64 (sin.f64 (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) i)))))
(*.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) n))) (*.f64 (sin.f64 (/.f64 (PI.f64) (*.f64 n #s(literal 2 binary64)))) (sin.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 i #s(literal 2 binary64) (fma.f64 (/.f64 (PI.f64) n) #s(literal -1/2 binary64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cos.f64 #s(approx (- (* 2 (+ i 1)) (/ (* 1 (PI)) (* 2 n))) (*.f64 #s(literal 2 binary64) i))))

soundness854.0ms (14.3%)

Memory
20.9MiB live, 20.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057485
0101407
1411394
23548296
08574292
0151782
1432773
21132752
34046698
08311600
01359
02249
110049
275849
0870242
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 418 to 223 computations (46.7% saved)

preprocess49.0ms (0.8%)

Memory
37.1MiB live, 37.1MiB allocated
Compiler

Compiled 376 to 160 computations (57.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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