Curve intersection, scale width based on ribbon orientation

Time bar (total: 15.0s)

analyze389.0ms (2.6%)

Memory
-6.5MiB live, 622.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.8%99.2%0%0%0%0
0%0%0.8%99.2%0%0%0%1
0%0%0.8%99.2%0%0%0%2
0%0%0.8%99.2%0%0%0%3
0%0%0.8%99.2%0%0%0%4
0%0%0.8%99.2%0%0%0%5
16.7%0.1%0.5%99.2%0%0.2%0%6
25%0.1%0.4%99.2%0%0.2%0%7
25%0.1%0.4%99.2%0%0.2%0%8
25%0.1%0.4%99.2%0%0.2%0%9
45%0.2%0.3%99.2%0%0.3%0%10
52.5%0.3%0.2%99.2%0%0.3%0%11
52.5%0.3%0.2%99.2%0%0.3%0%12
Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.2s (21.4%)

Memory
113.4MiB live, 4 601.1MiB allocated
Samples
1.9s8 256×0valid
647.0ms2 060×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-sin: 513.0ms (23.6% of total)
ival-<=: 505.0ms (23.2% of total)
ival-mult: 482.0ms (22.2% of total)
const: 224.0ms (10.3% of total)
ival-div: 159.0ms (7.3% of total)
ival-add: 90.0ms (4.1% of total)
ival-pi: 62.0ms (2.9% of total)
ival-sub: 59.0ms (2.7% of total)
ival-and: 52.0ms (2.4% of total)
exact: 21.0ms (1% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess131.0ms (0.9%)

Memory
-16.8MiB live, 143.7MiB allocated
Algorithm
egg-herbie
Rules
1 402×unsub-neg
1 014×times-frac
832×lower-fma.f64
832×lower-fma.f32
738×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106368
1279300
2741283
31977255
43516252
56491252
01725
02925
14821
28820
315618
420318
523818
628218
736718
851018
960918
1073518
11117318
12188618
13229318
14231218
15231318
16231318
0231317
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
Symmetry

(abs normAngle)

explain287.0ms (1.9%)

Memory
4.7MiB live, 373.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
270-21(4.741656766114133e-34 1.5865671798565018e-7 7.637312172322516e-27 2.5299000764268975e-20)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
10-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
00-0-(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
00-0-(*.f32 u normAngle)
00-0-n1_i
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
00-0-n0_i
00-0-normAngle
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
00-0-#s(literal 1 binary32)
00-0-(sin.f32 (*.f32 u normAngle))
00-0-u
00-0-(sin.f32 normAngle)
00-0-(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*u40
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o10
*.f32(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o10
Confusion
Predicted +Predicted -
+57
-0244
Precision
1.0
Recall
0.4166666666666667
Confusion?
Predicted +Predicted MaybePredicted -
+507
-00244
Precision?
1.0
Recall?
0.4166666666666667
Freqs
test
numberfreq
0251
14
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
113.0ms508×0valid
2.0ms5exit
Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-div: 55.0ms (58% of total)
ival-mult: 17.0ms (17.9% of total)
ival-sin: 17.0ms (17.9% of total)
ival-sub: 3.0ms (3.2% of total)
ival-add: 2.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify112.0ms (0.7%)

Memory
-15.9MiB live, 22.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff160
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff3616
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Rules
832×lower-fma.f64
832×lower-fma.f32
576×lower-*.f64
564×lower-*.f32
486×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017101
029101
14889
28888
315686
420386
523886
628286
736786
851086
960986
1073586
11117386
12188686
13229386
14231286
15231386
16231386
0231385
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i

localize89.0ms (0.6%)

Memory
-13.4MiB live, 62.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.5%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy98.5%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy93.9%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
46.0ms254×0valid
1.0ms5exit
Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 8.0ms (37.5% of total)
ival-sin: 6.0ms (28.1% of total)
ival-add: 3.0ms (14.1% of total)
ival-div: 2.0ms (9.4% of total)
ival-sub: 1.0ms (4.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.4%)

Memory
5.2MiB live, 45.8MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>
Outputs
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (- 1 u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))>
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))>
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
Calls

39 calls:

TimeVariablePointExpression
30.0ms
normAngle
@0
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
3.0ms
n0_i
@0
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
3.0ms
u
@inf
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms
normAngle
@inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms
normAngle
@0
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite504.0ms (3.4%)

Memory
11.4MiB live, 397.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 546×lower-fma.f64
7 546×lower-fma.f32
5 814×lower-*.f64
5 802×lower-*.f32
2 004×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01763
02953
18353
246952
3484552
0848951
Stop Event
iter limit
node limit
iter limit
Counts
5 → 240
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(neg.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))))))))
(neg.f32 (/.f32 (fma.f32 n0_i (*.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (*.f32 n1_i n1_i)))) (neg.f32 (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 n0_i (*.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (*.f32 n1_i n1_i))))) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (*.f32 n0_i n0_i)) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle)) (-.f32 (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (*.f32 n0_i n0_i)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 (/.f32 (*.f32 n0_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
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(*.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(*.f32 (/.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (*.f32 (fma.f32 u u u) (fma.f32 u u u)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) (fma.f32 u u u)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(*.f32 (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(*.f32 (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))

simplify630.0ms (4.2%)

Memory
25.3MiB live, 486.4MiB allocated
Algorithm
egg-herbie
Rules
12 022×lower-fma.f64
12 022×lower-fma.f32
6 426×lower-+.f64
6 426×lower-+.f32
5 452×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03212830
19872714
233852654
081242540
Stop Event
iter limit
node limit
Counts
156 → 152
Calls
Call 1
Inputs
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
Outputs
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) (fma.f32 (fma.f32 n1_i (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle)))) (*.f32 u u) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) n0_i)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32)))))))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (*.f32 u normAngle) (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 u (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) #s(literal 1 binary32))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32))))) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(*.f32 u (fma.f32 (*.f32 u u) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 (*.f32 u u) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 (*.f32 u u) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 u (*.f32 u (pow.f32 normAngle #s(literal 7 binary32)))) (sin.f32 normAngle)) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)) (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 #s(literal 1/720 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 #s(literal -1/5040 binary32) (neg.f32 u))))) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) u)
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (neg.f32 u) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (*.f32 n0_i (fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (*.f32 n0_i (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 u (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (neg.f32 (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(* n0_i (- 1 u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))))) (*.f32 n0_i (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))))) (fma.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)) (*.f32 #s(literal -1/720 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))))) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))) (*.f32 n0_i (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* -1 (* normAngle u))
(*.f32 u (neg.f32 normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(*.f32 u (neg.f32 normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)

eval68.0ms (0.5%)

Memory
14.7MiB live, 51.5MiB allocated
Compiler

Compiled 14 967 to 1 041 computations (93% saved)

prune77.0ms (0.5%)

Memory
-6.8MiB live, 87.5MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New37814392
Fresh000
Picked101
Done000
Total37914393
Accuracy
100.0%
Counts
393 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
98.9%
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
99.4%
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
98.0%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
7.7%
(/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))
96.3%
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
96.5%
(+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.6%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i))
98.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
96.5%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n1_i))
81.7%
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
75.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
40.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
58.2%
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
Compiler

Compiled 752 to 460 computations (38.8% saved)

simplify465.0ms (3.1%)

Memory
-45.2MiB live, 590.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff64
(fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
cost-diff64
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff64
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff0
(fma.f32 u (neg.f32 normAngle) normAngle)
cost-diff0
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
cost-diff0
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
cost-diff0
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
cost-diff0
(*.f32 u n1_i)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff160
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
cost-diff0
(*.f32 normAngle (cos.f32 normAngle))
cost-diff0
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
cost-diff0
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
cost-diff3712
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
Rules
13 572×lower-fma.f64
13 552×lower-fma.f32
4 690×lower-*.f64
4 660×lower-*.f32
3 040×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051520
099512
1201508
2544498
31820490
45357490
56811489
08048480
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
u
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
n0_i
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(neg.f32 (sin.f32 normAngle))
(sin.f32 normAngle)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 u n1_i)
n1_i
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
n0_i
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
u
(neg.f32 normAngle)
normAngle
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(*.f32 normAngle normAngle)
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
n1_i
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u)
(*.f32 normAngle normAngle)
(fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))
(fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
#s(literal 1/120 binary32)
(-.f32 (pow.f32 u #s(literal 5 binary32)) u)
(pow.f32 u #s(literal 5 binary32))
#s(literal 5 binary32)
(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))
#s(literal -1/36 binary32)
(*.f32 u (fma.f32 u u #s(literal -1 binary32)))
(fma.f32 u u #s(literal -1 binary32))
#s(literal -1 binary32)
n1_i
Outputs
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) n0_i)
u
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i))
n0_i
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(*.f32 (cos.f32 normAngle) (neg.f32 (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(neg.f32 (sin.f32 normAngle))
(sin.f32 normAngle)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 u n1_i)
n1_i
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
n0_i
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
u
(neg.f32 normAngle)
normAngle
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 n1_i (fma.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (*.f32 normAngle normAngle)) u) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)
(*.f32 n1_i (fma.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (*.f32 normAngle normAngle)) u))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(fma.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (*.f32 normAngle normAngle)) u)
(*.f32 normAngle normAngle)
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
n1_i
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i))
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) u) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i)
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) u))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) u)
(*.f32 normAngle normAngle)
(fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))))
(fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))))
#s(literal 1/120 binary32)
(-.f32 (pow.f32 u #s(literal 5 binary32)) u)
(pow.f32 u #s(literal 5 binary32))
#s(literal 5 binary32)
(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))
(*.f32 u (*.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32))))
#s(literal -1/36 binary32)
(*.f32 u (fma.f32 u u #s(literal -1 binary32)))
(fma.f32 u u #s(literal -1 binary32))
#s(literal -1 binary32)
n1_i

localize319.0ms (2.1%)

Memory
20.6MiB live, 521.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))
accuracy99.1%
(fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
accuracy98.7%
(fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
accuracy98.5%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy99.5%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy99.5%
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
accuracy99.1%
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
accuracy98.5%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy100.0%
(neg.f32 normAngle)
accuracy100.0%
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
accuracy99.5%
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
accuracy99.2%
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
accuracy100.0%
(-.f32 #s(literal 1 binary32) u)
accuracy100.0%
(*.f32 u n1_i)
accuracy99.5%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
accuracy99.9%
(*.f32 normAngle (cos.f32 normAngle))
accuracy99.9%
(/.f32 n1_i (sin.f32 normAngle))
accuracy99.9%
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
accuracy99.6%
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
Samples
220.0ms252×0valid
4.0ms5exit
2.0ms1valid
Compiler

Compiled 565 to 61 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-mult: 138.0ms (71.1% of total)
ival-add: 15.0ms (7.7% of total)
const: 12.0ms (6.2% of total)
ival-sin: 8.0ms (4.1% of total)
ival-div: 7.0ms (3.6% of total)
ival-pow: 5.0ms (2.6% of total)
ival-cos: 3.0ms (1.5% of total)
ival-sub: 2.0ms (1% of total)
ival-neg: 2.0ms (1% of total)
adjust: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series89.0ms (0.6%)

Memory
-5.2MiB live, 204.5MiB allocated
Counts
24 → 600
Calls
Call 1
Inputs
#<alt (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))>
#<alt (*.f32 normAngle (cos.f32 normAngle))>
#<alt (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (*.f32 u n1_i)>
#<alt (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))>
#<alt (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))>
#<alt (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))>
#<alt (fma.f32 u (neg.f32 normAngle) normAngle)>
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))>
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i))>
#<alt (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))>
#<alt (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (/.f32 n1_i (sin.f32 normAngle))>
#<alt (neg.f32 normAngle)>
#<alt (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))>
#<alt (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))>
#<alt (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))>
#<alt (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))>
Outputs
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt -1>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/2 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (* u (+ n1_i (* -1 n0_i)))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt 1>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (- 1 u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
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#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
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#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
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#<alt n0_i>
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#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))>
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#<alt (sin normAngle)>
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#<alt (sin (* normAngle (- 1 u)))>
#<alt n0_i>
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#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))) (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6)))))))))))>
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#<alt (* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 5) (sin normAngle))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4))))))>
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#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 5) (sin normAngle)))) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4)))))))>
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#<alt (* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* 7/360 u)>
#<alt (* u (+ 7/360 (* -1/36 (pow u 2))))>
#<alt (* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36))))>
#<alt (* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36))))>
#<alt (* 1/120 (pow u 5))>
#<alt (* (pow u 5) (- 1/120 (* 1/36 (/ 1 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2)))))>
#<alt (* 1/120 (pow u 5))>
#<alt (* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) 1/120)))>
#<alt (* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4))))))>
#<alt (* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4))))))>
#<alt n1_i>
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i normAngle)>
#<alt (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)>
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)>
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* u (+ 1/6 (* 7/360 (pow normAngle 2))))>
#<alt (* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (* -1/36 (pow normAngle 2)) 1/6)))))>
#<alt (* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6)))))>
#<alt (* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6)))))>
#<alt (* 1/120 (* (pow normAngle 2) (pow u 5)))>
#<alt (* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/120 (pow normAngle 2))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (* 1/120 (* (pow normAngle 2) (pow u 5)))>
#<alt (* -1 (* (pow u 5) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))))>
#<alt (* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4)))))>
#<alt (* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4)))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))>
#<alt (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))>
#<alt (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))>
#<alt (* 1/36 u)>
#<alt (* u (+ 1/36 (* -1/36 (pow u 2))))>
#<alt (* u (+ 1/36 (* -1/36 (pow u 2))))>
#<alt (* u (+ 1/36 (* -1/36 (pow u 2))))>
#<alt (* -1/36 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))>
#<alt (* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))>
#<alt (* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))>
#<alt (* -1/36 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))>
Calls

150 calls:

TimeVariablePointExpression
8.0ms
normAngle
@inf
(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
6.0ms
normAngle
@0
(/ (sin (+ (* u (neg normAngle)) normAngle)) (sin normAngle))
4.0ms
normAngle
@-inf
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))
2.0ms
u
@inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (+ (* u (+ (* (* u u) -1/6) 1/6)) (* (* normAngle normAngle) (+ (* 1/120 (- (pow u 5) u)) (* -1/36 (* u (+ (* u u) -1))))))) u) n1_i))
2.0ms
normAngle
@inf
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))

rewrite453.0ms (3%)

Memory
-1.5MiB live, 865.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 110×lower-*.f64
5 080×lower-*.f32
4 796×lower-fma.f64
4 776×lower-fma.f32
2 834×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051275
099267
1401267
23203265
08127261
Stop Event
iter limit
node limit
iter limit
Counts
24 → 690
Calls
Call 1
Inputs
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(-.f32 #s(literal 1 binary32) u)
(*.f32 u n1_i)
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i))
(fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(neg.f32 normAngle)
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))
Outputs
(+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(+.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) #s(literal -1 binary32))
(fma.f32 n0_i (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 normAngle (*.f32 (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) n0_i (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
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(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
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(-.f32 (/.f32 (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) (/.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))))
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(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))
(*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u #s(literal -1/36 binary32)))
(*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))
(*.f32 (*.f32 u #s(literal -1/36 binary32)) (fma.f32 u u #s(literal -1 binary32)))
(*.f32 (*.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32))) u)
(*.f32 (*.f32 (*.f32 u #s(literal -1/36 binary32)) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal -1 binary32)))

simplify534.0ms (3.6%)

Memory
-21.2MiB live, 954.1MiB allocated
Algorithm
egg-herbie
Rules
14 352×lower-fma.f64
14 352×lower-fma.f32
7 880×lower-*.f64
7 880×lower-*.f32
5 558×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085410581
1295310039
089419443
Stop Event
iter limit
node limit
Counts
600 → 591
Calls
Call 1
Inputs
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
-1
(- (* 1/3 (pow normAngle 2)) 1)
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
normAngle
(* normAngle (+ 1 (* -1/2 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* n1_i u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- 1 u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
n0_i
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -1 u)
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(* n0_i (+ 1 (* -1 u)))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(+ 1 (* -1 u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(* normAngle (- 1 u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))) (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6)))))))))))
(* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5))))
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2))))
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4)))))
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 5) (sin normAngle))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4))))))
(* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5))))
(* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)))))
(* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 5) (sin normAngle)))) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4)))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))
(* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* 7/360 u)
(* u (+ 7/360 (* -1/36 (pow u 2))))
(* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36))))
(* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36))))
(* 1/120 (pow u 5))
(* (pow u 5) (- 1/120 (* 1/36 (/ 1 (pow u 2)))))
(* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2)))))
(* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2)))))
(* 1/120 (pow u 5))
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) 1/120)))
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4))))))
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4))))))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* 1/6 u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* -1/6 (pow u 3))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 3))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
1/6
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* u (+ 1/6 (* 7/360 (pow normAngle 2))))
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (* -1/36 (pow normAngle 2)) 1/6)))))
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6)))))
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6)))))
(* 1/120 (* (pow normAngle 2) (pow u 5)))
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/120 (pow normAngle 2))) (* 1/6 (/ 1 (pow u 2)))))
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2)))))
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2)))))
(* 1/120 (* (pow normAngle 2) (pow u 5)))
(* -1 (* (pow u 5) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))))
(* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4)))))
(* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4)))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))
(* 1/36 u)
(* u (+ 1/36 (* -1/36 (pow u 2))))
(* u (+ 1/36 (* -1/36 (pow u 2))))
(* u (+ 1/36 (* -1/36 (pow u 2))))
(* -1/36 (pow u 3))
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))
(* -1/36 (pow u 3))
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))
Outputs
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u n0_i)
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u)
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u)
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i)
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle)))) n0_i)
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle)))) n0_i)
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle)))) n0_i)
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal -1 binary32)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32))))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32))))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (*.f32 normAngle (*.f32 normAngle u)) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u)) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle u))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(*.f32 (*.f32 normAngle (neg.f32 u)) (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
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(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 normAngle (neg.f32 (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
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(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
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(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
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(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
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(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (fma.f32 u (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (cos.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))) n0_i)
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle (*.f32 u (*.f32 u u)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle (*.f32 u (*.f32 u u)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(*.f32 (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u)) (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(*.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u)) (/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))))) (neg.f32 (*.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(*.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u)) (/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))))) (neg.f32 (*.f32 u (*.f32 u u))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))) (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
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(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
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(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
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(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
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(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
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(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(* n0_i (- 1 u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 normAngle (neg.f32 (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (*.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) n1_i) n1_i)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))) (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6)))))))))))
(fma.f32 u (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (fma.f32 u (fma.f32 u (fma.f32 n1_i (*.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)))) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (cos.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) n1_i) n1_i))) n0_i)
(* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5))))
(*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 u #s(literal 5 binary32))))
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n1_i (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)))) (*.f32 u u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)))) (*.f32 u u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 4 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 5) (sin normAngle))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4))))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)))) (*.f32 u u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 4 binary32)))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))))
(* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5))))
(*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)))))
(*.f32 (fma.f32 n1_i (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/36 binary32) #s(literal 1/6 binary32)))) (*.f32 u u)) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1/120 binary32)))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4))))))
(*.f32 (fma.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/36 binary32) #s(literal 1/6 binary32)))) (*.f32 u u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (pow.f32 u #s(literal 4 binary32)))) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1/120 binary32)))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 5) (sin normAngle)))) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4)))))))
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/36 binary32) #s(literal 1/6 binary32)))) (*.f32 u u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (pow.f32 u #s(literal 4 binary32)))) (fma.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1/120 binary32)) (neg.f32 (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 u #s(literal 5 binary32)))))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n1_i (fma.f32 u (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) (/.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n1_i (fma.f32 u (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) (/.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n1_i (fma.f32 u (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) (/.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n1_i (fma.f32 u (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) (/.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u)))
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u))))
(* 7/360 u)
(*.f32 u #s(literal 7/360 binary32))
(* u (+ 7/360 (* -1/36 (pow u 2))))
(*.f32 u (fma.f32 #s(literal -1/36 binary32) (*.f32 u u) #s(literal 7/360 binary32)))
(* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36))))
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 #s(literal 1/120 binary32) (*.f32 u u) #s(literal -1/36 binary32)) #s(literal 7/360 binary32)))
(* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36))))
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 #s(literal 1/120 binary32) (*.f32 u u) #s(literal -1/36 binary32)) #s(literal 7/360 binary32)))
(* 1/120 (pow u 5))
(*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))
(* (pow u 5) (- 1/120 (* 1/36 (/ 1 (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 u u))))
(* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 u #s(literal 4 binary32))) (-.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 u u)))))
(* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 u #s(literal 4 binary32))) (-.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 u u)))))
(* 1/120 (pow u 5))
(*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) 1/120)))
(*.f32 (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) #s(literal -1/120 binary32)) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 7/360 binary32) (pow.f32 u #s(literal 4 binary32))))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 7/360 binary32) (pow.f32 u #s(literal 4 binary32))))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
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1/6
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(* 1/36 u)
(*.f32 u #s(literal 1/36 binary32))
(* u (+ 1/36 (* -1/36 (pow u 2))))
(*.f32 u (fma.f32 #s(literal -1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)))
(* u (+ 1/36 (* -1/36 (pow u 2))))
(*.f32 u (fma.f32 #s(literal -1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)))
(* u (+ 1/36 (* -1/36 (pow u 2))))
(*.f32 u (fma.f32 #s(literal -1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)))
(* -1/36 (pow u 3))
(*.f32 #s(literal -1/36 binary32) (*.f32 u (*.f32 u u)))
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) #s(literal -1/36 binary32)))
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) #s(literal -1/36 binary32)))
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) #s(literal -1/36 binary32)))
(* -1/36 (pow u 3))
(*.f32 #s(literal -1/36 binary32) (*.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))
(*.f32 (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/36 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))
(*.f32 (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/36 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))
(*.f32 (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/36 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u))))

eval192.0ms (1.3%)

Memory
23.6MiB live, 408.4MiB allocated
Compiler

Compiled 65 863 to 4 092 computations (93.8% saved)

prune239.0ms (1.6%)

Memory
-15.3MiB live, 351.2MiB allocated
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1 461251 486
Fresh729
Picked505
Done000
Total1 473271 500
Accuracy
100.0%
Counts
1 500 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
99.2%
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
99.3%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
99.3%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
99.4%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
99.2%
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
99.4%
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
99.4%
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
98.1%
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
97.8%
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
58.0%
(fma.f32 n0_i (neg.f32 u) n0_i)
83.3%
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
7.7%
(/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))
34.2%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
83.8%
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
41.5%
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))
40.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
97.8%
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
41.9%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u))
41.7%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
97.7%
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
41.3%
(*.f32 n1_i u)
58.1%
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u)))
58.2%
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)))
97.5%
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
57.9%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
47.1%
(*.f32 n0_i #s(literal 1 binary32))
Compiler

Compiled 1 276 to 754 computations (40.9% saved)

simplify388.0ms (2.6%)

Memory
18.8MiB live, 568.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff160
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u))
cost-diff160
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
cost-diff192
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
cost-diff256
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))))
cost-diff0
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))
cost-diff0
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
cost-diff0
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)
cost-diff0
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
cost-diff160
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
cost-diff160
(*.f32 n0_i #s(literal 1 binary32))
cost-diff0
(*.f32 normAngle #s(literal 1/3 binary32))
cost-diff0
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
cost-diff0
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
cost-diff96
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
Rules
14 330×lower-fma.f64
14 308×lower-fma.f32
3 868×lower--.f64
3 862×lower--.f32
3 128×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046321
090300
1193270
2585266
32160266
44520266
57822266
08119255
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
u
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
n0_i
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
normAngle
(*.f32 normAngle #s(literal 1/3 binary32))
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
(*.f32 n0_i #s(literal 1 binary32))
n0_i
#s(literal 1 binary32)
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
n1_i
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)
normAngle
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))
u
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 u u)
#s(literal 1/6 binary32)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u))
(*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u)
(neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))))
(+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))))
(*.f32 n0_i #s(literal 1/24 binary32))
n0_i
#s(literal 1/24 binary32)
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
#s(literal 1/18 binary32)
(*.f32 n0_i #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 n1_i #s(literal -7/360 binary32))
n1_i
#s(literal -7/360 binary32)
u
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
Outputs
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 u (fma.f32 normAngle (fma.f32 n0_i (*.f32 normAngle #s(literal 1/3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) n0_i)
u
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 normAngle (fma.f32 n0_i (*.f32 normAngle #s(literal 1/3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i))
n0_i
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
normAngle
(*.f32 normAngle #s(literal 1/3 binary32))
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)
(*.f32 n0_i #s(literal 1 binary32))
n0_i
n0_i
#s(literal 1 binary32)
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 u (neg.f32 n0_i) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(*.f32 u (fma.f32 n1_i (*.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) n1_i))
n1_i
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)
(fma.f32 u (*.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) u)
normAngle
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(*.f32 u (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))
(*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
u
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 u u)
#s(literal 1/6 binary32)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u))
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))))
(*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u)
(*.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))))
(neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))
(fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))))
(*.f32 n0_i #s(literal -1/45 binary32))
(*.f32 n0_i #s(literal 1/24 binary32))
n0_i
#s(literal 1/24 binary32)
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
(*.f32 n0_i #s(literal 23/360 binary32))
#s(literal 1/18 binary32)
(*.f32 n0_i #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 n1_i #s(literal -7/360 binary32))
n1_i
#s(literal -7/360 binary32)
u
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 n1_i n0_i)

localize194.0ms (1.3%)

Memory
33.3MiB live, 412.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 n1_i #s(literal -7/360 binary32))
accuracy98.8%
(*.f32 n1_i #s(literal 1/6 binary32))
accuracy98.1%
(*.f32 n0_i #s(literal 1/120 binary32))
accuracy97.8%
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))))
accuracy99.9%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
accuracy99.5%
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
accuracy99.4%
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
accuracy99.1%
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))
accuracy100.0%
(-.f32 #s(literal 1 binary32) u)
accuracy99.9%
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
accuracy99.5%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy100.0%
(*.f32 n0_i #s(literal 1 binary32))
accuracy99.9%
(/.f32 n1_i (sin.f32 normAngle))
accuracy99.9%
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
accuracy99.6%
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
accuracy99.0%
(*.f32 normAngle #s(literal 1/3 binary32))
Samples
116.0ms250×0valid
8.0ms5exit
1.0ms1valid
Compiler

Compiled 353 to 59 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 40.0ms (39.6% of total)
const: 29.0ms (28.7% of total)
ival-add: 18.0ms (17.8% of total)
ival-sub: 4.0ms (4% of total)
ival-sin: 3.0ms (3% of total)
adjust: 2.0ms (2% of total)
ival-div: 2.0ms (2% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.4%)

Memory
5.0MiB live, 121.0MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#<alt (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)>
#<alt (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))>
#<alt (*.f32 normAngle #s(literal 1/3 binary32))>
#<alt (*.f32 n0_i #s(literal 1 binary32))>
#<alt (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))>
#<alt (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)>
#<alt (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))>
#<alt (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))>
#<alt (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))))>
#<alt (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))>
#<alt (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))>
#<alt (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u))>
#<alt (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (/.f32 n1_i (sin.f32 normAngle))>
#<alt (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))>
#<alt (*.f32 n0_i #s(literal 1/120 binary32))>
#<alt (*.f32 n1_i #s(literal 1/6 binary32))>
#<alt (*.f32 n1_i #s(literal -7/360 binary32))>
Outputs
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))>
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))>
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))>
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))>
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/3 n0_i)) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))>
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))>
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* u (- (* 1/3 n0_i) (* -1/6 n1_i)))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* -1 (* u (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1 (* (pow normAngle 2) (* u (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u))))>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))>
#<alt -1>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (* 1/3 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* 1/3 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (* u (+ n1_i (* -1 n0_i)))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (* -1 (* n0_i u))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt 1>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* u (+ 1 (* 1/6 (pow normAngle 2))))>
#<alt (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))>
#<alt (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))>
#<alt (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))>
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))>
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* 1/6 (* normAngle u))>
#<alt (* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))>
#<alt (* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))>
#<alt (* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))>
#<alt (* -1/6 (* normAngle (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))>
#<alt (* -1/6 (* normAngle (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))))>
#<alt (* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))>
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))>
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))>
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))>
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))>
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u)))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))>
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))>
#<alt (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))>
#<alt (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))>
#<alt (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))>
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))>
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))>
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))>
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))>
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))>
#<alt (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))>
#<alt (* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))>
#<alt (* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))>
#<alt (* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))>
#<alt (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))>
#<alt (+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))>
#<alt (+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))>
#<alt (+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))>
#<alt (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u)))>
#<alt (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))>
#<alt (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))>
#<alt (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt n1_i>
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i normAngle)>
#<alt (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)>
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)>
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
Calls

126 calls:

TimeVariablePointExpression
15.0ms
normAngle
@-inf
(+ (* u (+ (* n0_i (+ (* normAngle (* normAngle 1/3)) -1)) (* normAngle (/ n1_i (sin normAngle))))) n0_i)
3.0ms
u
@0
(+ (* (* normAngle normAngle) (* (neg (+ (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))) (* n1_i -7/360))) u)) (* (+ (* n0_i 1/3) (* n1_i 1/6)) u))
2.0ms
normAngle
@inf
(+ (* n0_i (+ (* normAngle (* normAngle 1/3)) -1)) (* normAngle (/ n1_i (sin normAngle))))
2.0ms
n1_i
@0
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (* (neg (+ (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))) (* n1_i -7/360))) u)) (* (+ (* n0_i 1/3) (* n1_i 1/6)) u))) (+ (* (- n1_i n0_i) u) n0_i))
1.0ms
normAngle
@-inf
(* normAngle (* u (+ (* -1/6 (* u u)) 1/6)))

rewrite397.0ms (2.6%)

Memory
15.2MiB live, 649.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 826×lower-*.f64
5 796×lower-*.f32
5 132×lower-fma.f64
5 110×lower-fma.f32
2 788×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046214
090200
1379184
23303184
08518182
Stop Event
iter limit
node limit
iter limit
Counts
22 → 623
Calls
Call 1
Inputs
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
(*.f32 normAngle #s(literal 1/3 binary32))
(*.f32 n0_i #s(literal 1 binary32))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))))
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(*.f32 n0_i #s(literal 1/120 binary32))
(*.f32 n1_i #s(literal 1/6 binary32))
(*.f32 n1_i #s(literal -7/360 binary32))
Outputs
(+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(+.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(+.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(+.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)))) (neg.f32 n0_i))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))) (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) #s(literal -1 binary32))
(fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 n0_i (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 n0_i (*.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(fma.f32 normAngle (*.f32 (*.f32 normAngle #s(literal 1/3 binary32)) n0_i) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 normAngle #s(literal 1/3 binary32)) (*.f32 normAngle n0_i) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) n0_i (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) #s(literal 1 binary32) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) #s(literal 1 binary32) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(fma.f32 (*.f32 n0_i normAngle) (*.f32 normAngle #s(literal 1/3 binary32)) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 n0_i (*.f32 normAngle #s(literal 1/3 binary32))) normAngle (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) #s(literal 1/3 binary32) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) #s(literal 1 binary32)) n0_i (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))) (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))))
(/.f32 (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))))
(/.f32 (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (-.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))))
(/.f32 (-.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) (neg.f32 (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))
(/.f32 (fma.f32 normAngle (fma.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (-.f32 (*.f32 n0_i n0_i) (*.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (neg.f32 n0_i)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (fma.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/27 binary32))) (*.f32 n0_i (*.f32 n0_i n0_i)) (neg.f32 (*.f32 n0_i (*.f32 n0_i n0_i)))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (fma.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (-.f32 (*.f32 n0_i n0_i) (*.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (neg.f32 n0_i))))))
(/.f32 (fma.f32 normAngle (-.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (neg.f32 n0_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (-.f32 (*.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)))) (*.f32 n0_i n0_i)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (-.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (neg.f32 n0_i))))
(/.f32 (fma.f32 normAngle (fma.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/27 binary32)) #s(literal -1 binary32))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (fma.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))))))
(/.f32 (fma.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 n0_i (fma.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) #s(literal -1 binary32))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal 1 binary32))))
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(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u))) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal -1/36 binary32)) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)))) (-.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u))) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(*.f32 n0_i #s(literal 1/120 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
(*.f32 #s(literal 1/120 binary32) n0_i)
(*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) #s(literal 1 binary32))
(*.f32 n1_i #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(*.f32 #s(literal -7/360 binary32) n1_i)

simplify411.0ms (2.7%)

Memory
-38.2MiB live, 730.3MiB allocated
Algorithm
egg-herbie
Rules
12 490×lower-fma.f64
12 490×lower-fma.f32
7 108×lower-*.f64
7 108×lower-*.f32
3 528×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05077527
117626842
266266835
080326236
Stop Event
iter limit
node limit
Counts
504 → 486
Calls
Call 1
Inputs
(/ (* n1_i normAngle) (sin normAngle))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/3 n0_i)) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(* 1/3 (* n0_i (pow normAngle 2)))
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(* 1/3 (* n0_i (pow normAngle 2)))
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* u (- (* 1/3 n0_i) (* -1/6 n1_i)))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* -1 (* u (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1 (* (pow normAngle 2) (* u (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u))))
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))
-1
(- (* 1/3 (pow normAngle 2)) 1)
(- (* 1/3 (pow normAngle 2)) 1)
(- (* 1/3 (pow normAngle 2)) 1)
(* 1/3 (pow normAngle 2))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* 1/3 (pow normAngle 2))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- 1 u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
n0_i
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (* n0_i u))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -1 u)
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i u)
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
u
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* 1/6 (* normAngle u))
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))
(* -1/6 (* normAngle (pow u 3)))
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))
(* -1/6 (* normAngle (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))
(* 1/6 u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* -1/6 (pow u 3))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 3))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))))
(* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))
(* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u)))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))
(* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))
(* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))
(+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u)))
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))
(* -1 (* n1_i (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
1/6
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
Outputs
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/3 n0_i)) (* -1/6 n1_i)))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(* 1/3 (* n0_i (pow normAngle 2)))
(*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle))))
(* 1/3 (* n0_i (pow normAngle 2)))
(*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (-.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (-.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(*.f32 n1_i (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(*.f32 n1_i (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(*.f32 n1_i (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i)
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i)
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i)
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u)
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
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(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))))
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(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))))
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(* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))
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(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i))
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))))
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(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (-.f32 (fma.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (*.f32 n1_i u) n0_i)) u)) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (-.f32 (fma.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (*.f32 n1_i u) n0_i)) u)) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (-.f32 (fma.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (*.f32 n1_i u) n0_i)) u)) n0_i)
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(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)))) u) (/.f32 (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) n0_i)) (neg.f32 n0_i)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)))) u) (/.f32 (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) n0_i)) (neg.f32 n0_i)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)))) u) (/.f32 (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) n0_i)) (neg.f32 n0_i)))
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u)))))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (/.f32 (*.f32 normAngle normAngle) n1_i) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u)))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (/.f32 (*.f32 normAngle normAngle) n1_i) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u)))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (/.f32 (*.f32 normAngle normAngle) n1_i) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u)))
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))
(*.f32 (neg.f32 n1_i) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))) (neg.f32 u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))) (neg.f32 u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))) (neg.f32 u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))) (neg.f32 u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i)))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))
(*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u)) (-.f32 n1_i n0_i)))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))
(*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u)) (-.f32 n1_i n0_i)))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))
(*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u)) (-.f32 n1_i n0_i)))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))
(*.f32 (neg.f32 u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (neg.f32 (-.f32 n1_i n0_i))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))
(*.f32 (neg.f32 u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (-.f32 (/.f32 n0_i (neg.f32 u)) (-.f32 n1_i n0_i))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))
(*.f32 (neg.f32 u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (-.f32 (/.f32 n0_i (neg.f32 u)) (-.f32 n1_i n0_i))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))
(*.f32 (neg.f32 u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (-.f32 (/.f32 n0_i (neg.f32 u)) (-.f32 n1_i n0_i))))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))
(*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))
(* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))
(*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u)) n0_i) (fma.f32 n1_i (*.f32 (/.f32 u n0_i) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))))
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u)) n0_i) (fma.f32 n1_i (*.f32 (/.f32 u n0_i) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))))
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u)) n0_i) (fma.f32 n1_i (*.f32 (/.f32 u n0_i) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))
(*.f32 (neg.f32 n0_i) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (/.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (neg.f32 n0_i))))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (/.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (neg.f32 n0_i))))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (/.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (neg.f32 n0_i))))
(+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))
(*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u)))
(*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))))
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (*.f32 (/.f32 u n1_i) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal 1/45 binary32)) n1_i))))
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (*.f32 (/.f32 u n1_i) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal 1/45 binary32)) n1_i))))
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (*.f32 (/.f32 u n1_i) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal 1/45 binary32)) n1_i))))
(* -1 (* n1_i (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))
(neg.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))
(*.f32 n1_i (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))
(*.f32 n1_i (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))
(*.f32 n1_i (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n1_i)))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(*.f32 (neg.f32 u) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(*.f32 (neg.f32 u) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(*.f32 (neg.f32 u) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(*.f32 (neg.f32 u) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i normAngle)
(/.f32 n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(* -1/6 (pow u 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* -1/6 (pow u 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))

eval185.0ms (1.2%)

Memory
23.7MiB live, 250.5MiB allocated
Compiler

Compiled 52 532 to 2 912 computations (94.5% saved)

prune408.0ms (2.7%)

Memory
-163.9MiB live, 325.2MiB allocated
Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1 094151 109
Fresh71522
Picked325
Done000
Total1 104321 136
Accuracy
100.0%
Counts
1 136 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
98.4%
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
99.2%
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
99.4%
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
99.4%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
99.4%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
99.3%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
99.2%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
99.4%
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
97.9%
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
98.1%
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
58.3%
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)
58.0%
(fma.f32 n0_i (neg.f32 u) n0_i)
83.3%
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
7.7%
(/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))
34.2%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
83.8%
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
41.5%
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))
40.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
99.1%
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i))
41.9%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u))
41.7%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u))
41.7%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
41.7%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
41.3%
(*.f32 n1_i u)
58.1%
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u)))
58.2%
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)))
57.9%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
58.2%
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
58.2%
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32)))))
97.7%
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
47.1%
n0_i
Compiler

Compiled 1 371 to 810 computations (40.9% saved)

simplify584.0ms (3.9%)

Memory
23.2MiB live, 784.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
cost-diff0
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
cost-diff192
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
cost-diff224
(fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))
cost-diff0
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
cost-diff0
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)
cost-diff0
(*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle)
cost-diff160
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
cost-diff0
(*.f32 n0_i u)
cost-diff0
(*.f32 normAngle #s(literal 1/3 binary32))
cost-diff0
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
cost-diff0
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
cost-diff0
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))
cost-diff0
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
cost-diff64
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))))
cost-diff320
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))
Rules
24 906×lower-fma.f64
24 874×lower-fma.f32
7 012×lower-+.f64
7 012×lower-+.f32
4 622×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048383
098368
1224368
2660354
32570348
47612348
08164337
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
u
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))))
n1_i
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))
#s(literal 7/360 binary32)
#s(literal 1/6 binary32)
#s(literal 1 binary32)
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))
(neg.f32 n0_i)
n0_i
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(cos.f32 normAngle)
(sin.f32 normAngle)
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 normAngle (*.f32 normAngle u))
(*.f32 normAngle u)
n0_i
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
normAngle
(*.f32 normAngle #s(literal 1/3 binary32))
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(*.f32 n0_i u)
n0_i
u
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle)
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
n0_i
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
n1_i
#s(literal 1/6 binary32)
u
normAngle
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
n1_i
#s(literal 1/840 binary32)
(*.f32 n1_i #s(literal -7/2160 binary32))
#s(literal -7/2160 binary32)
(neg.f32 (*.f32 normAngle normAngle))
(*.f32 n1_i #s(literal 7/360 binary32))
#s(literal 7/360 binary32)
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
#s(literal 1/6 binary32)
(*.f32 n0_i #s(literal 1/3 binary32))
n0_i
#s(literal 1/3 binary32)
(-.f32 n1_i n0_i)
Outputs
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
(fma.f32 u (fma.f32 normAngle (fma.f32 n0_i (fma.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u normAngle))) (*.f32 n1_i (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))))) n1_i) n0_i)
u
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))))
(fma.f32 normAngle (fma.f32 n0_i (fma.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u normAngle))) (*.f32 n1_i (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))))) n1_i)
n1_i
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(fma.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))
(fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))
#s(literal 7/360 binary32)
#s(literal 1/6 binary32)
#s(literal 1 binary32)
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))
(*.f32 (*.f32 normAngle n0_i) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(neg.f32 n0_i)
n0_i
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(cos.f32 normAngle)
(sin.f32 normAngle)
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))
(*.f32 u (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/2 binary32)
(*.f32 normAngle (*.f32 normAngle u))
(*.f32 u (*.f32 normAngle normAngle))
(*.f32 normAngle u)
(*.f32 u normAngle)
n0_i
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))) n0_i)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
normAngle
(*.f32 normAngle #s(literal 1/3 binary32))
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(*.f32 n0_i u)
(*.f32 u n0_i)
n0_i
u
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle)
(*.f32 u (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
n0_i
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
n1_i
#s(literal 1/6 binary32)
u
normAngle
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 n1_i n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (*.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (*.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (*.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)))
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
(*.f32 n1_i #s(literal -31/15120 binary32))
n1_i
#s(literal 1/840 binary32)
(*.f32 n1_i #s(literal -7/2160 binary32))
#s(literal -7/2160 binary32)
(neg.f32 (*.f32 normAngle normAngle))
(*.f32 n1_i #s(literal 7/360 binary32))
#s(literal 7/360 binary32)
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
#s(literal 1/6 binary32)
(*.f32 n0_i #s(literal 1/3 binary32))
n0_i
#s(literal 1/3 binary32)
(-.f32 n1_i n0_i)

localize393.0ms (2.6%)

Memory
-15.1MiB live, 261.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(*.f32 n0_i #s(literal 1/3 binary32))
accuracy98.9%
(*.f32 n1_i #s(literal 7/360 binary32))
accuracy98.8%
(*.f32 n1_i #s(literal -7/2160 binary32))
accuracy98.7%
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
accuracy99.6%
(*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle)
accuracy99.4%
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)
accuracy99.2%
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
accuracy98.8%
(*.f32 n1_i #s(literal 1/6 binary32))
accuracy100.0%
(*.f32 n0_i u)
accuracy100.0%
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
accuracy99.9%
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
accuracy99.0%
(*.f32 normAngle #s(literal 1/3 binary32))
accuracy99.9%
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))))
accuracy99.9%
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
accuracy99.8%
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))
accuracy99.7%
(*.f32 normAngle (*.f32 normAngle u))
Samples
226.0ms251×0valid
14.0ms5exit
1.0ms1valid
Compiler

Compiled 427 to 64 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-mult: 73.0ms (41% of total)
ival-cos: 53.0ms (29.8% of total)
const: 22.0ms (12.4% of total)
ival-add: 18.0ms (10.1% of total)
ival-sin: 3.0ms (1.7% of total)
ival-div: 2.0ms (1.1% of total)
adjust: 2.0ms (1.1% of total)
ival-neg: 2.0ms (1.1% of total)
ival-sub: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.6%)

Memory
2.9MiB live, 76.7MiB allocated
Counts
22 → 612
Calls
Call 1
Inputs
#<alt (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))>
#<alt (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))))>
#<alt (fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)>
#<alt (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))>
#<alt (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)>
#<alt (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))>
#<alt (*.f32 normAngle #s(literal 1/3 binary32))>
#<alt (*.f32 n0_i u)>
#<alt (fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))>
#<alt (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle)>
#<alt (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)>
#<alt (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))>
#<alt (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))>
#<alt (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))>
#<alt (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)>
#<alt (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))>
#<alt (*.f32 normAngle (*.f32 normAngle u))>
#<alt (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))>
#<alt (*.f32 n1_i #s(literal 1/6 binary32))>
#<alt (*.f32 n1_i #s(literal -7/2160 binary32))>
#<alt (*.f32 n1_i #s(literal 7/360 binary32))>
#<alt (*.f32 n0_i #s(literal 1/3 binary32))>
Outputs
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 n0_i)>
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u)))))>
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u))))))>
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
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#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))))>
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#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))>
#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (/ n1_i (pow normAngle 4)))))))>
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#<alt (* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ n1_i normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle))) (pow normAngle 3))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))>
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#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))>
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#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))>
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#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))))>
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#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
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#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))>
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#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))>
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#<alt (* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))>
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#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))))) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))>
#<alt (* 7/360 (* n1_i (* (pow normAngle 4) u)))>
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#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))))>
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#<alt (* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* n1_i u)) normAngle)) (/ (* n0_i (* u (cos normAngle))) (sin normAngle))) (pow normAngle 3))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))>
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#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))>
#<alt (* -1 (* n0_i (- (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow normAngle 2)))>
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))>
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))>
#<alt (* 7/360 (pow normAngle 4))>
#<alt (* (pow normAngle 4) (+ 7/360 (* 1/6 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))>
#<alt (* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))>
#<alt (* 7/360 (pow normAngle 4))>
#<alt (* (pow normAngle 4) (+ 7/360 (* 1/6 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))>
#<alt (* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))>
#<alt (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))>
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))>
#<alt -1>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (* 1/3 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* 1/3 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* 1/3 normAngle)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u)))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i)))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* 1/6 (* n1_i (* normAngle u)))>
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))>
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))>
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))>
#<alt (* 1/3 (* n0_i (* normAngle u)))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))>
#<alt (* 1/3 (* n0_i (* normAngle u)))>
#<alt (* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i)))))>
#<alt (* 1/3 (* n0_i (* normAngle u)))>
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))>
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))>
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))>
#<alt (* 1/6 (* n1_i (* normAngle u)))>
#<alt (* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i))))>
#<alt (* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i))))>
#<alt (* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i))))>
#<alt (* 1/6 (* n1_i (* normAngle u)))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u)))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u)))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u)))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* 1/6 (* n1_i u))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* 1/3 (* n0_i u))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
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#<alt (* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6))))>
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#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))>
#<alt (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))>
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))>
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))>
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#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))>
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))>
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))>
#<alt (* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
Calls

153 calls:

TimeVariablePointExpression
15.0ms
n1_i
@0
(+ (* (* (* (+ (* n0_i 1/3) (* n1_i 1/6)) u) normAngle) normAngle) (+ (* (- n1_i n0_i) u) n0_i))
2.0ms
n0_i
@0
(+ (* (neg n0_i) (/ (* normAngle (cos normAngle)) (sin normAngle))) (* (* n0_i -1/2) (* normAngle (* normAngle u))))
1.0ms
u
@0
(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* n1_i 1/840) (* n1_i -7/2160)) (neg (* normAngle normAngle))) (* n1_i 7/360))) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- n1_i n0_i))) n0_i)
1.0ms
n1_i
@0
(+ (* (+ (* n1_i 1/840) (* n1_i -7/2160)) (neg (* normAngle normAngle))) (* n1_i 7/360))
1.0ms
n0_i
@0
(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* n1_i 1/840) (* n1_i -7/2160)) (neg (* normAngle normAngle))) (* n1_i 7/360))) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- n1_i n0_i))) n0_i)

rewrite754.0ms (5%)

Memory
27.6MiB live, 743.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 942×lower-*.f64
7 914×lower-*.f32
6 890×lower-fma.f64
6 858×lower-fma.f32
3 410×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048273
098261
1428261
23891252
010794252
Stop Event
iter limit
node limit
iter limit
Counts
22 → 627
Calls
Call 1
Inputs
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))))
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
(*.f32 normAngle #s(literal 1/3 binary32))
(*.f32 n0_i u)
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle)
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle (*.f32 normAngle u))
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))
(*.f32 n1_i #s(literal 1/6 binary32))
(*.f32 n1_i #s(literal -7/2160 binary32))
(*.f32 n1_i #s(literal 7/360 binary32))
(*.f32 n0_i #s(literal 1/3 binary32))
Outputs
(+.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(+.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(pow.f32 (/.f32 (fma.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32))) (fma.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) (*.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 u (*.f32 normAngle normAngle)))) #s(literal -1/8 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))) (fma.f32 (*.f32 n0_i n0_i) (pow.f32 (/.f32 (tan.f32 normAngle) normAngle) #s(literal -2 binary32)) (neg.f32 (*.f32 n0_i (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))))))) #s(literal -1 binary32))
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 n0_i (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 normAngle (*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (neg.f32 n0_i)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 normAngle (*.f32 (*.f32 normAngle u) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (neg.f32 n0_i)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (neg.f32 n0_i) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u (*.f32 normAngle normAngle)) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 normAngle u) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) (*.f32 normAngle u) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) n0_i (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 (*.f32 (neg.f32 n0_i) normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 (*.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal -1 binary32)) n0_i (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle u)) normAngle (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle normAngle)) u (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) n0_i) #s(literal -1/2 binary32) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) normAngle) u (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(fma.f32 (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) u) normAngle (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))))
(-.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32)) (fma.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))) (/.f32 (*.f32 n0_i (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))) (fma.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32))) (fma.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) (*.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 u (*.f32 normAngle normAngle)))) #s(literal -1/8 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))) (fma.f32 (*.f32 n0_i n0_i) (pow.f32 (/.f32 (tan.f32 normAngle) normAngle) #s(literal -2 binary32)) (neg.f32 (*.f32 n0_i (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))))))))
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(*.f32 normAngle (*.f32 normAngle u))
(*.f32 u (*.f32 normAngle normAngle))
(*.f32 (*.f32 normAngle u) normAngle)
(*.f32 (*.f32 normAngle normAngle) u)
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))
(*.f32 normAngle (*.f32 (*.f32 normAngle u) (*.f32 n0_i #s(literal -1/2 binary32))))
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))))
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u (*.f32 normAngle normAngle)))
(*.f32 (*.f32 normAngle u) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)))
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32)))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal -1/2 binary32))))
(*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) (*.f32 normAngle u))
(*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) n0_i)
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle u)) normAngle)
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle normAngle)) u)
(*.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) n0_i) #s(literal -1/2 binary32))
(*.f32 (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) normAngle) u)
(*.f32 (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) u) normAngle)
(*.f32 n1_i #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(*.f32 #s(literal -7/2160 binary32) n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(*.f32 #s(literal 1/3 binary32) n0_i)

simplify750.0ms (5%)

Memory
-20.5MiB live, 941.2MiB allocated
Algorithm
egg-herbie
Rules
15 672×lower-fma.f64
15 672×lower-fma.f32
7 120×lower-*.f64
7 120×lower-*.f32
5 706×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066010777
1231210167
084069305
Stop Event
iter limit
node limit
Counts
612 → 608
Calls
Call 1
Inputs
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 n0_i)
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u)))))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u))))))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))))
(* 7/360 (* n1_i (pow normAngle 4)))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (/ n1_i (pow normAngle 4)))))))
(* 7/360 (* n1_i (pow normAngle 4)))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))
(* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ n1_i normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle))) (pow normAngle 3))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))))) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))
(* 7/360 (* n1_i (* (pow normAngle 4) u)))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))))
(* 7/360 (* n1_i (* (pow normAngle 4) u)))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))
(* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* n1_i u)) normAngle)) (/ (* n0_i (* u (cos normAngle))) (sin normAngle))) (pow normAngle 3))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))))
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))
(* -1 (* n0_i (- (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))
1
(+ 1 (* 1/6 (pow normAngle 2)))
(+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))
(+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))
(* 7/360 (pow normAngle 4))
(* (pow normAngle 4) (+ 7/360 (* 1/6 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))
(* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))
(* 7/360 (pow normAngle 4))
(* (pow normAngle 4) (+ 7/360 (* 1/6 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))
(* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))
n0_i
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))
(* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))
-1
(- (* 1/3 (pow normAngle 2)) 1)
(- (* 1/3 (pow normAngle 2)) 1)
(- (* 1/3 (pow normAngle 2)) 1)
(* 1/3 (pow normAngle 2))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* 1/3 (pow normAngle 2))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* 1/3 normAngle)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u)))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i)))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* 1/6 (* n1_i (* normAngle u)))
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))
(* 1/3 (* n0_i (* normAngle u)))
(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))
(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))
(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))
(* 1/3 (* n0_i (* normAngle u)))
(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i)))))
(* 1/3 (* n0_i (* normAngle u)))
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))
(* 1/6 (* n1_i (* normAngle u)))
(* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i))))
(* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i))))
(* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i))))
(* 1/6 (* n1_i (* normAngle u)))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u)))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u)))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u)))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* 1/6 (* n1_i u))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(* 1/3 (* n0_i u))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* 1/3 (* n0_i u))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* 1/3 (* n0_i u))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(* 1/6 (* n1_i u))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* 1/6 (* n1_i u))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* 1/6 n1_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* 1/3 n0_i)
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* 1/3 n0_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/6 n1_i)
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* 1/6 n1_i)
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* 7/360 n1_i)
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))))
(* -1 (* (pow normAngle 6) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(* -1 (* (pow normAngle 6) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)
(* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4)))))))
(* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6))))
(* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4)))))))
(* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6))))
(- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
Outputs
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i))
(* -1 n0_i)
(neg.f32 n0_i)
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u)))))
(fma.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) normAngle) normAngle (neg.f32 n0_i))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))) (neg.f32 n0_i))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 n0_i #s(literal 1/3 binary32)))) (neg.f32 n0_i))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle)))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(*.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))
(neg.f32 (*.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))))
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))
(neg.f32 (*.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))))
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))
(neg.f32 (*.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (fma.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) n1_i)))) n1_i)
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (fma.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) n1_i)))) n1_i)
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (fma.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) n1_i)))) n1_i)
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))
(*.f32 (neg.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))
(*.f32 (neg.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))
(*.f32 (neg.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) (neg.f32 n1_i))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))))))
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i))
(* 7/360 (* n1_i (pow normAngle 4)))
(*.f32 n1_i (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 4 binary32))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (/ n1_i (pow normAngle 4)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (fma.f32 n0_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal -1/2 binary32)) (fma.f32 n1_i #s(literal 7/360 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))))))))
(* 7/360 (* n1_i (pow normAngle 4)))
(*.f32 n1_i (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 4 binary32))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))))))
(* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ n1_i normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle))) (pow normAngle 3))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))) (/.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (neg.f32 normAngle))) (*.f32 normAngle (*.f32 normAngle normAngle)))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(neg.f32 (*.f32 n0_i (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) n0_i))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(neg.f32 (*.f32 n0_i (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) n0_i))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(neg.f32 (*.f32 n0_i (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) n0_i))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) (neg.f32 u))) (neg.f32 u))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) (neg.f32 u))) (neg.f32 u))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) (neg.f32 u))) (neg.f32 u))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))
(fma.f32 u (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(*.f32 n0_i (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u))) (*.f32 u u))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))))
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) u) (/.f32 n0_i (*.f32 u u))))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))))
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) u) (/.f32 n0_i (*.f32 u u))))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(*.f32 n0_i (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u))) (*.f32 u u))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (neg.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i u)))) (neg.f32 u))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (neg.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i u)))) (neg.f32 u))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i)
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i)
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i)
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i)
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (/.f32 n0_i n1_i))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))
(*.f32 (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))
(*.f32 (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))
(*.f32 (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) n1_i))) (neg.f32 n1_i))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))))))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))))) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (*.f32 (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32)))))) (neg.f32 (*.f32 normAngle normAngle)))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* 7/360 (* n1_i (* (pow normAngle 4) u)))
(*.f32 #s(literal 7/360 binary32) (*.f32 u (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle))))) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32))))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle))))) (fma.f32 u (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))))
(* 7/360 (* n1_i (* (pow normAngle 4) u)))
(*.f32 #s(literal 7/360 binary32) (*.f32 u (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))))
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle))))) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32))))))
(* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* n1_i u)) normAngle)) (/ (* n0_i (* u (cos normAngle))) (sin normAngle))) (pow normAngle 3))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))
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(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
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n0_i
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(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32)) (neg.f32 n1_i))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)))
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)))
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 31/15120 binary32)))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 31/15120 binary32)))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i))
(*.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i))
(*.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i))
(*.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))
(neg.f32 (*.f32 (neg.f32 u) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) (/.f32 n0_i u))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))
(neg.f32 (*.f32 (neg.f32 u) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) (/.f32 n0_i u))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))
(neg.f32 (*.f32 (neg.f32 u) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) (/.f32 n0_i u))))
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32))) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* -1 (* (pow normAngle 6) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (/.f32 (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 6 binary32)))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))))
(* -1 (* (pow normAngle 6) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (/.f32 (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 6 binary32)))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))))
(+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) n0_i))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) n0_i))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) n0_i))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i) (/.f32 n0_i n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(*.f32 (*.f32 u (neg.f32 n1_i)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i)))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1)))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(*.f32 (fma.f32 u (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(*.f32 (fma.f32 u (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(*.f32 (fma.f32 u (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) (*.f32 (*.f32 normAngle normAngle) n1_i)))) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(*.f32 (*.f32 n1_i #s(literal 31/15120 binary32)) (pow.f32 normAngle #s(literal 6 binary32)))
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))) (pow.f32 normAngle #s(literal 6 binary32)))
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4)))))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 1/3 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32))))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))
(* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(*.f32 (*.f32 n1_i #s(literal 31/15120 binary32)) (pow.f32 normAngle #s(literal 6 binary32)))
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))) (pow.f32 normAngle #s(literal 6 binary32)))
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4)))))))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6))))
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(- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i)
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))
(+.f32 n1_i (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))))
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))
(+.f32 n1_i (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))))
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))
(+.f32 n1_i (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))
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(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(neg.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) (neg.f32 (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))) n1_i (neg.f32 n1_i)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(neg.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) (neg.f32 (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))) n1_i (neg.f32 n1_i)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(neg.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) (neg.f32 (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))) n1_i (neg.f32 n1_i)))
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i))
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i))
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(neg.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal -1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal -1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal -1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i))
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))

eval151.0ms (1%)

Memory
22.6MiB live, 370.3MiB allocated
Compiler

Compiled 74 061 to 3 058 computations (95.9% saved)

prune224.0ms (1.5%)

Memory
6.9MiB live, 448.4MiB allocated
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New1 220151 235
Fresh71825
Picked325
Done022
Total1 230371 267
Accuracy
100.0%
Counts
1 267 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
99.2%
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
98.4%
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
83.9%
(fma.f32 (*.f32 (/.f32 (*.f32 (fma.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal 1/27 binary32) (*.f32 #s(literal 1/216 binary32) (*.f32 n1_i (*.f32 n1_i n1_i)))) u) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal -1/3 binary32) n0_i)) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/9 binary32)))) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
99.4%
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
98.9%
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
98.7%
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
99.4%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
99.4%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
99.4%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
99.3%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
99.2%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
99.4%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
83.9%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i)
99.2%
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i)
99.4%
(fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i)
97.9%
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
98.1%
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
58.0%
(fma.f32 n0_i (neg.f32 u) n0_i)
83.3%
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
7.7%
(/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))
34.2%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
58.2%
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
41.5%
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))
40.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
99.1%
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i))
41.7%
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
58.0%
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))
41.8%
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u))
41.7%
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
41.9%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u))
41.7%
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
41.3%
(*.f32 n1_i u)
57.9%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
58.2%
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32)))))
97.7%
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
47.1%
n0_i
Compiler

Compiled 2 279 to 856 computations (62.4% saved)

regimes161.0ms (1.1%)

Memory
-33.9MiB live, 257.7MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u))
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32)))))
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 (*.f32 (/.f32 (*.f32 (fma.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal 1/27 binary32) (*.f32 #s(literal 1/216 binary32) (*.f32 n1_i (*.f32 n1_i n1_i)))) u) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal -1/3 binary32) n0_i)) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/9 binary32)))) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n1_i))
(/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))
Outputs
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
Calls

5 calls:

48.0ms
n0_i
37.0ms
n1_i
34.0ms
normAngle
20.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
19.0ms
u
Results
AccuracySegmentsBranch
99.4%1normAngle
99.4%1u
99.4%1n0_i
99.4%1n1_i
99.4%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes76.0ms (0.5%)

Memory
-4.9MiB live, 191.7MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u))
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32)))))
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
Outputs
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
Calls

5 calls:

16.0ms
n0_i
15.0ms
u
15.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
14.0ms
n1_i
14.0ms
normAngle
Results
AccuracySegmentsBranch
99.4%1normAngle
99.4%1u
99.4%1n0_i
99.4%1n1_i
99.4%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes72.0ms (0.5%)

Memory
15.4MiB live, 209.7MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u))
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32)))))
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i)
Outputs
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
Calls

5 calls:

15.0ms
n0_i
14.0ms
n1_i
14.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
14.0ms
u
13.0ms
normAngle
Results
AccuracySegmentsBranch
99.4%1normAngle
99.4%1u
99.4%1n0_i
99.4%1n1_i
99.4%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes60.0ms (0.4%)

Memory
14.6MiB live, 170.9MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u))
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32)))))
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u)))
Outputs
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
Calls

5 calls:

14.0ms
n1_i
12.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
11.0ms
u
11.0ms
normAngle
11.0ms
n0_i
Results
AccuracySegmentsBranch
99.3%1normAngle
99.3%1u
99.3%1n0_i
99.3%1n1_i
99.3%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes66.0ms (0.4%)

Memory
-18.3MiB live, 179.0MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u))
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32)))))
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i)
Outputs
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
Calls

5 calls:

16.0ms
n1_i
14.0ms
u
12.0ms
n0_i
12.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
11.0ms
normAngle
Results
AccuracySegmentsBranch
99.2%1normAngle
99.2%1u
99.2%1n0_i
99.2%1n1_i
99.2%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes59.0ms (0.4%)

Memory
7.7MiB live, 128.5MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u))
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i))
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)
Outputs
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
Calls

5 calls:

19.0ms
n1_i
13.0ms
u
9.0ms
normAngle
9.0ms
n0_i
9.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Results
AccuracySegmentsBranch
99.2%1n1_i
99.2%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
99.2%1normAngle
99.2%1u
99.2%1n0_i
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes77.0ms (0.5%)

Memory
16.3MiB live, 95.1MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
Outputs
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
Calls

5 calls:

48.0ms
n1_i
8.0ms
u
7.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
7.0ms
n0_i
7.0ms
normAngle
Results
AccuracySegmentsBranch
98.9%1normAngle
98.9%1u
98.9%1n0_i
98.9%1n1_i
98.9%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes38.0ms (0.3%)

Memory
-10.0MiB live, 107.3MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
Outputs
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
Calls

5 calls:

10.0ms
n1_i
7.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
7.0ms
u
6.0ms
normAngle
6.0ms
n0_i
Results
AccuracySegmentsBranch
98.7%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.7%1normAngle
98.7%1u
98.7%1n0_i
98.7%1n1_i
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes35.0ms (0.2%)

Memory
-13.5MiB live, 107.4MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u)))))
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32))))
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u))))
Outputs
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
Calls

5 calls:

8.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
7.0ms
u
7.0ms
normAngle
6.0ms
n0_i
6.0ms
n1_i
Results
AccuracySegmentsBranch
98.4%1normAngle
98.4%1u
98.4%1n0_i
98.4%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.4%1n1_i
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes14.0ms (0.1%)

Memory
7.0MiB live, 46.1MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
Outputs
(fma.f32 n0_i (neg.f32 u) n0_i)
(*.f32 n1_i u)
(fma.f32 n0_i (neg.f32 u) n0_i)
Calls

5 calls:

3.0ms
n0_i
3.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
3.0ms
u
2.0ms
normAngle
2.0ms
n1_i
Results
AccuracySegmentsBranch
74.6%3n0_i
74.6%3n1_i
58.0%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
58.0%1normAngle
58.0%1u
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes5.0ms (0%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
Outputs
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n1_i u)
Calls

2 calls:

2.0ms
n0_i
2.0ms
n1_i
Results
AccuracySegmentsBranch
74.5%3n1_i
74.4%3n0_i
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
Outputs
(*.f32 n1_i u)
n0_i
(*.f32 n1_i u)
Calls

2 calls:

2.0ms
n0_i
2.0ms
n1_i
Results
AccuracySegmentsBranch
65.1%3n0_i
66.0%3n1_i
Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.1%)

Memory
-15.3MiB live, 34.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
Outputs
n0_i
Calls

5 calls:

8.0ms
n1_i
2.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
2.0ms
n0_i
2.0ms
normAngle
1.0ms
u
Results
AccuracySegmentsBranch
47.1%1u
47.1%1normAngle
47.1%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
47.1%1n0_i
47.1%1n1_i
Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.5405225971078825e-28
2.4926706528201456e-27
0.0ms
-4.86074047528974e-28
-6.049714289422172e-29
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.4294056362666008e-17
2.4748608652876147e-17
0.0ms
-9.390450030770958e-19
-8.444512131649458e-19
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.4294056362666008e-17
2.4748608652876147e-17
0.0ms
-9.390450030770958e-19
-8.444512131649458e-19
Compiler

Compiled 32 to 24 computations (25% saved)

simplify59.0ms (0.4%)

Memory
-5.5MiB live, 73.5MiB allocated
Algorithm
egg-herbie
Rules
446×distribute-lft-neg-in_binary32
362×unsub-neg_binary32
314×neg-mul-1_binary32
232×neg-sub0_binary32
196×cancel-sign-sub_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079256
1113256
2128256
3149256
4173256
5191256
6225256
7335256
8444256
9492256
10636256
11802256
12982256
131159256
141286256
151365256
161416256
171453256
181479256
191486256
201487256
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n0_i #s(literal -8307675/20769187434139310514121985316880384 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 binary32)) (*.f32 n1_i u) (fma.f32 n0_i (neg.f32 u) n0_i)))
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) n0_i (*.f32 n1_i u)))
n0_i
Outputs
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))) (*.f32 n0_i #s(literal 1/24 binary32))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u n0_i)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))) (*.f32 n0_i #s(literal 1/24 binary32)))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 normAngle (*.f32 u (*.f32 n1_i #s(literal 1/6 binary32)))) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (*.f32 normAngle (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32)))) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n0_i #s(literal -8307675/20769187434139310514121985316880384 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 binary32)) (*.f32 n1_i u) (fma.f32 n0_i (neg.f32 u) n0_i)))
(if (<=.f32 n0_i #s(literal -8307675/20769187434139310514121985316880384 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 binary32)) (*.f32 u n1_i) (fma.f32 n0_i (neg.f32 u) n0_i)))
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) n0_i (*.f32 n1_i u)))
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) n0_i (*.f32 u n1_i)))
n0_i

soundness1.3s (9%)

Memory
1.3MiB live, 1 321.9MiB allocated
Rules
15 672×lower-fma.f64
15 672×lower-fma.f32
14 352×lower-fma.f64
14 352×lower-fma.f32
12 490×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046214
090200
1379184
23303184
08518182
066010777
1231210167
084069305
05077527
117626842
266266835
080326236
085410581
1295310039
089419443
03212830
19872714
233852654
081242540
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 550 to 287 computations (47.8% saved)

preprocess73.0ms (0.5%)

Memory
0.2MiB live, 154.0MiB allocated
Remove

(abs normAngle)

Compiler

Compiled 1 236 to 584 computations (52.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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