Curve intersection, scale width based on ribbon orientation

Time bar (total: 14.9s)

analyze353.0ms (2.4%)

Memory
-25.8MiB live, 485.3MiB 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)

sample3.5s (23.2%)

Memory
61.3MiB live, 4 333.9MiB allocated
Samples
1.9s8 256×0valid
796.0ms1 996×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult: 546.0ms (24.8% of total)
ival-sin: 481.0ms (21.9% of total)
ival-<=: 464.0ms (21.1% of total)
const: 236.0ms (10.7% of total)
ival-div: 200.0ms (9.1% of total)
ival-sub: 108.0ms (4.9% of total)
ival-and: 48.0ms (2.2% of total)
ival-pi: 47.0ms (2.1% of total)
ival-add: 43.0ms (2% of total)
exact: 20.0ms (0.9% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess151.0ms (1%)

Memory
11.3MiB live, 132.8MiB allocated
Algorithm
egg-herbie
Rules
1 402×unsub-neg
1 014×times-frac
832×accelerator-lowering-fma.f32
832×accelerator-lowering-fma.f64
738×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106368
1279300
2741283
31977255
43516252
56491252
01725
13621
27620
314418
419118
522618
627018
735518
849918
960018
1074018
11118218
12189118
13229918
14231818
15231918
16231918
0231917
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
Outputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)) (sin.f32 normAngle))
Symmetry

(abs normAngle)

explain231.0ms (1.5%)

Memory
-26.0MiB live, 524.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-21(9.467198208870208e-38 7.232459211081732e-6 0.0046797762624919415 4.2712883896456333e-7)(*.f32 (sin.f32 (*.f32 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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (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*u20
Confusion
Predicted +Predicted -
+08
-2246
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+008
-20246
Precision?
0.0
Recall?
0.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms492×0valid
12.0ms18×5exit
1.0ms2valid
Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 19.0ms (37.8% of total)
ival-sin: 17.0ms (33.9% of total)
ival-div: 6.0ms (12% of total)
ival-sub: 3.0ms (6% of total)
ival-add: 3.0ms (6% of total)
adjust: 2.0ms (4% 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(+.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 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify94.0ms (0.6%)

Memory
4.4MiB live, 85.4MiB 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×accelerator-lowering-fma.f32
832×accelerator-lowering-fma.f64
576×*-lowering-*.f32
576×*-lowering-*.f64
492×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017101
13689
27688
314486
419186
522686
627086
735586
849986
960086
1074086
11118286
12189186
13229986
14231886
15231986
16231986
0231985
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(sin (* (- 1 u) normAngle))
(* (- 1 u) normAngle)
(- 1 u)
1
u
normAngle
(/ 1 (sin normAngle))
(sin normAngle)
n0_i
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(sin (* u normAngle))
(* u normAngle)
n1_i
Outputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)) (sin.f32 normAngle))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin (* (- 1 u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(* (- 1 u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
normAngle
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
n0_i
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin (* u normAngle))
(sin.f32 (*.f32 u normAngle))
(* u normAngle)
(*.f32 u normAngle)
n1_i

localize53.0ms (0.4%)

Memory
3.4MiB live, 119.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.6%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy98.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy94.9%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
29.0ms246×0valid
5.0ms5exit
0.0ms2valid
Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (40.4% of total)
ival-sin: 7.0ms (31.4% of total)
ival-div: 2.0ms (9% of total)
ival-sub: 2.0ms (9% of total)
adjust: 1.0ms (4.5% of total)
ival-add: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory
-22.7MiB live, 56.1MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))>
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))>
#<alt (* (sin (* u normAngle)) (/ 1 (sin normAngle)))>
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)>
#<alt (* (- 1 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
5.0ms
normAngle
@0
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_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
u
@inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms
u
@-inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite399.0ms (2.7%)

Memory
31.9MiB live, 542.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 546×accelerator-lowering-fma.f32
7 546×accelerator-lowering-fma.f64
5 814×*-lowering-*.f32
5 814×*-lowering-*.f64
2 004×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01753
17153
245752
3483152
0847451
Stop Event
iter limit
node limit
Counts
5 → 240
Calls
Call 1
Inputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(* (- 1 u) normAngle)
Outputs
(neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.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 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)))))))))))
(neg.f32 (/.f32 (fma.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 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)))))))) (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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.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 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))))))))))
(neg.f32 (/.f32 (neg.f32 (fma.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 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 (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 (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))))
(+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (/.f32 (*.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 (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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i n1_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)))))
(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)) (fma.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))))) (*.f32 n1_i n1_i) (*.f32 (neg.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))))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i n1_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)))))
(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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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))))
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)) (*.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)) (/.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i n1_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)))))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (*.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 (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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i n1_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)))))
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(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))) #s(literal -1 binary32))
(*.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))
(/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (neg.f32 u)))) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) #s(literal -1 binary32)) (sin.f32 normAngle))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(*.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle))))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))) #s(literal -1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))
(exp.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
(pow.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) n0_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (sin.f32 normAngle))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))
(*.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 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i)
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(*.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)) #s(literal -1 binary32))
(*.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (exp.f32 (log.f32 n0_i)) (exp.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) (exp.f32 (log.f32 n0_i)))
(*.f32 (exp.f32 (log.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 normAngle (*.f32 normAngle (neg.f32 u)))
(+.f32 (*.f32 normAngle (neg.f32 u)) normAngle)
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 normAngle (neg.f32 u)))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))))
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (neg.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32)))) (+.f32 #s(literal -1 binary32) (neg.f32 u)))
(/.f32 (neg.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (fma.f32 (*.f32 normAngle normAngle) normAngle (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) normAngle))) (fma.f32 normAngle normAngle (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 normAngle (*.f32 normAngle (neg.f32 u))))))
(/.f32 (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u)))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u))))
(/.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (neg.f32 (+.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) (neg.f32 u)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (+.f32 #s(literal -1 binary32) (neg.f32 u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) u))
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) normAngle))
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) normAngle))
(*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) u)))
(*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(*.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 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))
(*.f32 (/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u 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)))

simplify429.0ms (2.9%)

Memory
26.0MiB live, 770.1MiB allocated
Algorithm
egg-herbie
Rules
12 022×accelerator-lowering-fma.f32
12 022×accelerator-lowering-fma.f64
6 426×+-lowering-+.f64
6 426×+-lowering-+.f32
5 452×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03212830
19872714
233852654
081242540
Stop Event
iter limit
node limit
Counts
156 → 156
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)

eval48.0ms (0.3%)

Memory
-25.0MiB live, 98.4MiB allocated
Compiler

Compiled 15 019 to 1 047 computations (93% saved)

prune64.0ms (0.4%)

Memory
16.3MiB live, 168.3MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New38115396
Fresh000
Picked101
Done000
Total38215397
Accuracy
100.0%
Counts
397 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
98.7%
(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)))
98.2%
(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)))
99.0%
(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)
96.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
97.2%
(+.f32 (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)))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.0%
(+.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))
97.2%
(+.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))
98.4%
(+.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))
97.4%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
80.8%
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
78.0%
(*.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)))
40.6%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
57.9%
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
45.5%
n0_i
Compiler

Compiled 842 to 462 computations (45.1% saved)

simplify268.0ms (1.8%)

Memory
8.1MiB live, 616.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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)
cost-diff64
(+.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))
cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
cost-diff160
(*.f32 (sin.f32 (*.f32 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 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
(/.f32 n1_i (sin.f32 normAngle))
cost-diff0
(*.f32 u normAngle)
cost-diff0
(sin.f32 (*.f32 u normAngle))
cost-diff0
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
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
9 726×accelerator-lowering-fma.f32
9 726×accelerator-lowering-fma.f64
3 422×*-lowering-*.f32
3 422×*-lowering-*.f64
3 346×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042325
1110315
2350306
31529288
44496283
08399272
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i)
u
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))
n0_i
(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
(* normAngle (cos normAngle))
normAngle
(cos normAngle)
(neg (sin normAngle))
(sin normAngle)
(* normAngle (/ n1_i (sin normAngle)))
(/ n1_i (sin normAngle))
n1_i
n0_i
(* (sin (* u normAngle)) (/ n1_i (sin normAngle)))
(sin (* u normAngle))
(* u normAngle)
u
normAngle
(/ n1_i (sin normAngle))
n1_i
(sin normAngle)
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(sin (* (- 1 u) normAngle))
(* (- 1 u) normAngle)
(- 1 u)
1
u
normAngle
(/ 1 (sin normAngle))
(sin normAngle)
n0_i
(* u n1_i)
n1_i
(+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i)
(+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u))
(* normAngle normAngle)
normAngle
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))
(+ (* u 1/6) -1/6)
u
1/6
-1/6
(+ (* (- 1 u) (- 1 u)) -1)
(- 1 u)
1
-1
n0_i
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(sin (* u normAngle))
(* u normAngle)
(/ 1 (sin normAngle))
(sin normAngle)
n1_i
Outputs
(+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin 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
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i))
n0_i
(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos normAngle)
(cos.f32 normAngle)
(neg (sin normAngle))
(neg.f32 (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
(* normAngle (/ n1_i (sin normAngle)))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
n0_i
(* (sin (* u normAngle)) (/ n1_i (sin normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(sin (* u normAngle))
(sin.f32 (*.f32 u normAngle))
(* u normAngle)
(*.f32 u normAngle)
u
normAngle
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin normAngle)
(sin.f32 normAngle)
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin (* (- 1 u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(* (- 1 u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
normAngle
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
n0_i
(* u n1_i)
(*.f32 u n1_i)
n1_i
(+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(fma.f32 n0_i (fma.f32 u (*.f32 (-.f32 #s(literal 2 binary32) u) (*.f32 normAngle (*.f32 normAngle (fma.f32 u #s(literal -1/6 binary32) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i)
(fma.f32 n0_i (fma.f32 u (*.f32 (-.f32 #s(literal 2 binary32) u) (*.f32 normAngle (*.f32 normAngle (fma.f32 u #s(literal -1/6 binary32) #s(literal 1/6 binary32))))) (neg.f32 u)) n0_i)
(+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u))
(fma.f32 u (*.f32 (-.f32 #s(literal 2 binary32) u) (*.f32 normAngle (*.f32 normAngle (fma.f32 u #s(literal -1/6 binary32) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) u))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))
(*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (*.f32 u (+.f32 u #s(literal -2 binary32))))
(+ (* u 1/6) -1/6)
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
u
1/6
#s(literal 1/6 binary32)
-1/6
#s(literal -1/6 binary32)
(+ (* (- 1 u) (- 1 u)) -1)
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
-1
#s(literal -1 binary32)
n0_i
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin (* u normAngle))
(sin.f32 (*.f32 u normAngle))
(* u normAngle)
(*.f32 u normAngle)
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
n1_i

localize223.0ms (1.5%)

Memory
-14.5MiB live, 257.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
accuracy98.8%
(*.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)))
accuracy94.9%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy58.1%
(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
accuracy99.8%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.6%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy98.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy100.0%
(sin.f32 (*.f32 u normAngle))
accuracy100.0%
(sin.f32 normAngle)
accuracy99.9%
(/.f32 n1_i (sin.f32 normAngle))
accuracy95.4%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
accuracy99.9%
(*.f32 normAngle (cos.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)
accuracy99.8%
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
accuracy99.6%
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
Samples
149.0ms242×0valid
14.0ms11×5exit
1.0ms1valid
1.0ms2valid
Compiler

Compiled 313 to 44 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 106.0ms (73.5% of total)
ival-add: 8.0ms (5.6% of total)
const: 7.0ms (4.9% of total)
ival-sin: 7.0ms (4.9% of total)
ival-div: 5.0ms (3.5% of total)
ival-cos: 4.0ms (2.8% of total)
adjust: 3.0ms (2.1% of total)
ival-sub: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series56.0ms (0.4%)

Memory
20.2MiB live, 100.2MiB allocated
Counts
21 → 552
Calls
Call 1
Inputs
#<alt (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))>
#<alt (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i)>
#<alt (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))>
#<alt (* normAngle (cos normAngle))>
#<alt (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))>
#<alt (sin (* u normAngle))>
#<alt (* u normAngle)>
#<alt (/ n1_i (sin normAngle))>
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))>
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i))>
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)>
#<alt (sin (* (- 1 u) normAngle))>
#<alt (* (sin (* u normAngle)) (/ 1 (sin normAngle)))>
#<alt (+ (* (- 1 u) (- 1 u)) -1)>
#<alt (+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))>
#<alt (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i)>
#<alt (* normAngle (/ n1_i (sin normAngle)))>
#<alt (sin normAngle)>
#<alt (* (- 1 u) normAngle)>
#<alt (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))>
#<alt (+ (* u 1/6) -1/6)>
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 (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* normAngle u)>
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))>
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))>
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (* normAngle u)>
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))>
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))>
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<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>
#<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 (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))))>
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (* u (+ n1_i (+ (* -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 (* n1_i u)>
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))>
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))>
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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 (* n0_i (- 1 u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i 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)) (+ (* n1_i 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 (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i 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) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i 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) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (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 (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 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))>
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))>
#<alt (* 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))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<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 (* -2 u)>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i u))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 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))))))) (* -1/6 (* n1_i u))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))))) (* -1/6 (* n1_i u))))))>
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))>
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) 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)) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (* n0_i (pow normAngle 2))))))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow u 3) (sin normAngle))))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))>
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))>
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* 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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))>
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))>
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))>
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt n0_i>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))>
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<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 normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (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))>
#<alt (* 1/3 u)>
#<alt (* u (+ 1/3 (* -1/2 u)))>
#<alt (* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))>
#<alt (* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))>
#<alt (* 1/6 (pow u 3))>
#<alt (* (pow u 3) (- 1/6 (* 1/2 (/ 1 u))))>
#<alt (* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))>
#<alt (* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))>
#<alt (* 1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6)))>
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))>
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))>
#<alt -1/6>
#<alt (- (* 1/6 u) 1/6)>
#<alt (- (* 1/6 u) 1/6)>
#<alt (- (* 1/6 u) 1/6)>
#<alt (* 1/6 u)>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* 1/6 u)>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
Calls

138 calls:

TimeVariablePointExpression
7.0ms
normAngle
@inf
(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
4.0ms
normAngle
@inf
(+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
3.0ms
normAngle
@0
(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
2.0ms
normAngle
@inf
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))
2.0ms
normAngle
@-inf
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))

rewrite411.0ms (2.8%)

Memory
18.5MiB live, 641.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 478×accelerator-lowering-fma.f32
5 478×accelerator-lowering-fma.f64
4 900×*-lowering-*.f32
4 900×*-lowering-*.f64
4 198×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042212
1231212
21995208
08881197
Stop Event
iter limit
node limit
Counts
21 → 779
Calls
Call 1
Inputs
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))
(+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i)
(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
(* normAngle (cos normAngle))
(* (sin (* u normAngle)) (/ n1_i (sin normAngle)))
(sin (* u normAngle))
(* u normAngle)
(/ n1_i (sin normAngle))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(sin (* (- 1 u) normAngle))
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(+ (* (- 1 u) (- 1 u)) -1)
(+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i)
(* normAngle (/ n1_i (sin normAngle)))
(sin normAngle)
(* (- 1 u) normAngle)
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))
(+ (* u 1/6) -1/6)
Outputs
(+.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 n0_i (*.f32 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 n0_i (*.f32 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)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 n0_i #s(literal 1 binary32)) (/.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 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(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 n1_i (sin.f32 normAngle)) (/.f32 normAngle #s(literal 1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 normAngle (/.f32 #s(literal 1 binary32) n1_i)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 #s(literal -1 binary32) (/.f32 n0_i (*.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (/.f32 #s(literal 1 binary32) (*.f32 normAngle (cos.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (/.f32 n0_i #s(literal -1 binary32)) (/.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))))
(fma.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 normAngle #s(literal -1 binary32)) (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n1_i #s(literal 1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n1_i)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n0_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 normAngle #s(literal -1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) #s(literal -1 binary32)) (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n1_i #s(literal -1 binary32)) (/.f32 normAngle (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (*.f32 n0_i normAngle) #s(literal -1 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 normAngle #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) #s(literal -1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (cos.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 n0_i (/.f32 #s(literal -1 binary32) normAngle)) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 n0_i (/.f32 #s(literal -1 binary32) (cos.f32 normAngle))) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) normAngle)) (/.f32 n0_i (tan.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (cos.f32 normAngle))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)) (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 normAngle #s(literal 1 binary32)) (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(-.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 n0_i (*.f32 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 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle 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 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (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) (neg.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (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) (neg.f32 (*.f32 n0_i (*.f32 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)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (neg.f32 (*.f32 n0_i (*.f32 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))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 n0_i (*.f32 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))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 (neg.f32 (*.f32 n0_i (*.f32 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)))))))))
(/.f32 (+.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))) (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 n0_i (*.f32 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 (+.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))) (+.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 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (*.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))))
(/.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 (*.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 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle) (*.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle n1_i))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (*.f32 (sin.f32 normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.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)))) (neg.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 n0_i (*.f32 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 (neg.f32 (+.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)))) (neg.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 (*.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 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))))))
(/.f32 (neg.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 (*.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 (/.f32 (-.f32 (neg.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))))
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(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) (-.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 #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 -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 (*.f32 u #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 -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #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 -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 u #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 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 u #s(literal 1/6 binary32) #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 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))))
(*.f32 (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))
(+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))
(pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32))) #s(literal -1 binary32))
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32))
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u u)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))))
(-.f32 (/.f32 #s(literal 1/36 binary32) (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u u)) (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))))
(/.f32 (fma.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 u u)) (*.f32 u #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))) (neg.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u u)) (*.f32 u #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32))) (neg.f32 (fma.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 u u))) (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u u)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 u u)))) (neg.f32 (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))
(*.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32)))))
(*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))))

simplify888.0ms (5.9%)

Memory
-1.8MiB live, 630.6MiB allocated
Algorithm
egg-herbie
Rules
12 930×accelerator-lowering-fma.f32
12 930×accelerator-lowering-fma.f64
8 270×*-lowering-*.f32
8 270×*-lowering-*.f64
4 690×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08038652
126148188
083287814
Stop Event
iter limit
node limit
Counts
552 → 552
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 (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* normAngle u)
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(/ 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
(+ 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 (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))))
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(+ n0_i (* u (+ n1_i (+ (* -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)))))))))
(* n1_i u)
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i 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)) (+ (* n1_i 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)))))))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i u)
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i 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) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i 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) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i u)
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -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)))
(/ (* 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))
(* -2 u)
(* u (- u 2))
(* u (- u 2))
(* u (- u 2))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i u))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 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))))))) (* -1/6 (* n1_i u))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))))) (* -1/6 (* n1_i u))))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) 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)) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (* n0_i (pow normAngle 2))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow u 3) (sin normAngle))))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))
(* n0_i (- 1 u))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
n0_i
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
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))
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(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))
(* 1/3 u)
(* u (+ 1/3 (* -1/2 u)))
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))
(* 1/6 (pow u 3))
(* (pow u 3) (- 1/6 (* 1/2 (/ 1 u))))
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))
(* 1/6 (pow u 3))
(* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))
-1/6
(- (* 1/6 u) 1/6)
(- (* 1/6 u) 1/6)
(- (* 1/6 u) 1/6)
(* 1/6 u)
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* 1/6 u)
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
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 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (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 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 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 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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))
(* 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 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.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 (-.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))) (/.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 (-.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))) (/.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 (-.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))) (/.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 (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))
(* 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) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))))
(* -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) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))))
(* -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) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))))
(/ (* 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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))
(* 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 (cos.f32 normAngle) (*.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 (cos.f32 normAngle) (*.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 (cos.f32 normAngle) (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))) n0_i)
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(neg.f32 (*.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)))
(neg.f32 (*.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)))
(neg.f32 (*.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)))
(neg.f32 (*.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 normAngle (*.f32 normAngle (*.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)))))))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) 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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (neg.f32 (+.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)))) (*.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)) (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(*.f32 (fma.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(*.f32 (fma.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(*.f32 (fma.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle u)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle u)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 normAngle u)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 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)))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 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)))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))) n1_i))))
-1
#s(literal -1 binary32)
(- (* 1/3 (pow normAngle 2)) 1)
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
normAngle
(* normAngle (+ 1 (* -1/2 (pow normAngle 2))))
(fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/24 binary32) #s(literal -1/2 binary32)) normAngle) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/720 binary32) #s(literal 1/24 binary32)) #s(literal -1/2 binary32)) normAngle) normAngle)
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 n1_i (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 u (*.f32 u (pow.f32 normAngle #s(literal 5 binary32))))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 (*.f32 u u) (fma.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32)))) (*.f32 u u)) (sin.f32 normAngle))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(* n1_i u)
(*.f32 n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (fma.f32 n1_i (*.f32 #s(literal -1/5040 binary32) u) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))))) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))
(* normAngle u)
(*.f32 normAngle u)
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
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(sin (* normAngle u))
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(sin (* normAngle u))
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(sin (* normAngle u))
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(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
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(/ (+ 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))) (*.f32 (neg.f32 normAngle) normAngle) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
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(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (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 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/2 binary32) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (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))))))))
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(- 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 #s(literal 1/6 binary32) u #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)
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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)
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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n0_i
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(+ n0_i (* u (+ n1_i (+ (* -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)))))))))
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(* n1_i u)
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(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
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(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
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(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
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(+ (* 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))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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))) (* (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 (*.f32 n0_i #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 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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))) (* (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 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i #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 (*.f32 n0_i #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 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(* n1_i u)
(*.f32 n1_i u)
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 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) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 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) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 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 (*.f32 n0_i (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) n0_i)))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 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) n0_i)))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 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) n0_i)))))
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 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 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(+ (* n1_i u) (/ (* 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 u))
(* n1_i u)
(*.f32 n1_i u)
(* n1_i (+ u (/ (* 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))) u))
(* n1_i (+ u (/ (* 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))) u))
(* n1_i (+ u (/ (* 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))) u))
(* n1_i u)
(*.f32 n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 n1_i (neg.f32 (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) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 n1_i (neg.f32 (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) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (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 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (cos.f32 normAngle) (*.f32 u (*.f32 normAngle (*.f32 normAngle normAngle))))) (sin.f32 normAngle))) (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 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (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 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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 (*.f32 n0_i #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 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i #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 (*.f32 n0_i #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 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (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 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 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))
(*.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))) (-.f32 #s(literal 1 binary32) u)))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(*.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)))) (-.f32 #s(literal 1 binary32) 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))
(*.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)))) (-.f32 #s(literal 1 binary32) u)))
(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))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (*.f32 u u))) (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 #s(literal -1/6 binary32) (/.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 u u) (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32)))) (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 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) 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 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) u (*.f32 #s(literal 1/36 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) 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 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) u (*.f32 #s(literal 1/36 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)) (*.f32 #s(literal -1/5040 binary32) u)))) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) u (*.f32 #s(literal 1/36 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u)
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(* -2 u)
(*.f32 u #s(literal -2 binary32))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) 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 (* n1_i (pow u 3))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i u))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 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))))))) (* -1/6 (* n1_i u))))))
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))))) (* -1/6 (* n1_i u))))))
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (fma.f32 n1_i (*.f32 #s(literal -1/5040 binary32) u) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))))) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i)))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(*.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i)))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) n0_i)
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
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n0_i
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
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(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
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n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
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(+ 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))))
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normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
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(neg.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32))))

eval282.0ms (1.9%)

Memory
1.7MiB live, 361.5MiB allocated
Compiler

Compiled 53 547 to 4 029 computations (92.5% saved)

prune295.0ms (2%)

Memory
-44.8MiB live, 504.7MiB allocated
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New1 517251 542
Fresh7310
Picked415
Done000
Total1 528291 557
Accuracy
100.0%
Counts
1 557 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
98.7%
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
97.3%
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
98.2%
(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)))
98.8%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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)
98.6%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
98.3%
(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)
99.1%
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
98.9%
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
98.7%
(fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
75.9%
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
97.6%
(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
98.3%
(fma.f32 normAngle (*.f32 normAngle (*.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))
41.7%
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
96.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
33.3%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
48.1%
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
97.4%
(+.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.3%
(+.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 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.2%
(+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 #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))
97.1%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
96.8%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
80.9%
(+.f32 n0_i (*.f32 u n1_i))
78.0%
(*.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)))
40.6%
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle)))
40.2%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
41.1%
(*.f32 n1_i u)
57.7%
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
45.5%
n0_i
Compiler

Compiled 1 433 to 852 computations (40.5% saved)

simplify341.0ms (2.3%)

Memory
3.0MiB live, 755.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i)
cost-diff64
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
cost-diff0
(sin.f32 normAngle)
cost-diff0
(*.f32 n1_i normAngle)
cost-diff0
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
cost-diff0
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))
cost-diff0
(*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))
cost-diff64
(fma.f32 u (*.f32 u u) (neg.f32 u))
cost-diff160
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
cost-diff0
(*.f32 n1_i u)
cost-diff0
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))
cost-diff0
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
cost-diff160
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))
cost-diff416
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))
Rules
10 994×accelerator-lowering-fma.f32
10 994×accelerator-lowering-fma.f64
4 638×*-lowering-*.f32
4 638×*-lowering-*.f64
2 502×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052349
1143343
2431339
31282327
42485323
55187323
08161302
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* u (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))) n0_i)
u
(+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))
n0_i
(+ (* (* normAngle normAngle) 1/3) -1)
(* normAngle normAngle)
normAngle
1/3
-1
(+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u))))
n1_i
(/ normAngle (sin normAngle))
(sin normAngle)
(* -1/2 (* n0_i (* (* normAngle normAngle) u)))
-1/2
(* n0_i (* (* normAngle normAngle) u))
(* (* normAngle normAngle) u)
(* n1_i u)
n1_i
u
(+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u))
normAngle
(* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))
(* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))
-1/6
(* n1_i (+ (* u (* u u)) (neg u)))
n1_i
(+ (* u (* u u)) (neg u))
u
(* u u)
(neg u)
(* n1_i u)
(+ (* u (/ (* n1_i normAngle) (sin normAngle))) n0_i)
u
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i normAngle)
n1_i
normAngle
(sin normAngle)
n0_i
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i)
(* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)))
(sin (* (- 1 u) normAngle))
(* (- 1 u) normAngle)
(- 1 u)
1
u
normAngle
(/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))
(+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)
(* normAngle (* normAngle normAngle))
(* normAngle normAngle)
(+ (* normAngle (* normAngle 1/120)) -1/6)
(* normAngle 1/120)
1/120
-1/6
n0_i
(* u n1_i)
n1_i
Outputs
(+ (* u (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))) n0_i)
(fma.f32 u (fma.f32 normAngle (fma.f32 normAngle (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) n0_i)
u
(+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))
(fma.f32 normAngle (fma.f32 normAngle (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i))
n0_i
(+ (* (* normAngle normAngle) 1/3) -1)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
1/3
#s(literal 1/3 binary32)
-1
#s(literal -1 binary32)
(+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u))))
(*.f32 normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
n1_i
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
(* -1/2 (* n0_i (* (* normAngle normAngle) u)))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))
-1/2
#s(literal -1/2 binary32)
(* n0_i (* (* normAngle normAngle) u))
(*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))
(* (* normAngle normAngle) u)
(*.f32 u (*.f32 normAngle normAngle))
(* n1_i u)
(*.f32 u n1_i)
n1_i
u
(+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u))
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) u))
normAngle
(* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))
(*.f32 n1_i (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 normAngle #s(literal -1/6 binary32))))
(* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))
(*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
-1/6
#s(literal -1/6 binary32)
(* n1_i (+ (* u (* u u)) (neg u)))
(*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))
n1_i
(+ (* u (* u u)) (neg u))
(*.f32 u (fma.f32 u u #s(literal -1 binary32)))
u
(* u u)
(*.f32 u u)
(neg u)
(neg.f32 u)
(* n1_i u)
(*.f32 u n1_i)
(+ (* u (/ (* n1_i normAngle) (sin normAngle))) n0_i)
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u n1_i) n0_i)
u
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
(* n1_i normAngle)
(*.f32 normAngle n1_i)
n1_i
normAngle
(sin normAngle)
(sin.f32 normAngle)
n0_i
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle)) (*.f32 u n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i)
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle))
(* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle))
(sin (* (- 1 u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(* (- 1 u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
normAngle
(/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle))
(+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle)
(* normAngle (* normAngle normAngle))
(*.f32 normAngle (*.f32 normAngle normAngle))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
(+ (* normAngle (* normAngle 1/120)) -1/6)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))
(* normAngle 1/120)
(*.f32 normAngle #s(literal 1/120 binary32))
1/120
#s(literal 1/120 binary32)
-1/6
#s(literal -1/6 binary32)
n0_i
(* u n1_i)
(*.f32 u n1_i)
n1_i

localize279.0ms (1.9%)

Memory
0.8MiB live, 479.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i)
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy98.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
accuracy98.2%
(*.f32 normAngle #s(literal 1/120 binary32))
accuracy100.0%
(*.f32 n1_i normAngle)
accuracy100.0%
(sin.f32 normAngle)
accuracy100.0%
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
accuracy70.4%
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
accuracy99.9%
(fma.f32 u (*.f32 u u) (neg.f32 u))
accuracy99.7%
(*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))
accuracy99.7%
(*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))
accuracy99.0%
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))
accuracy100.0%
(*.f32 n1_i u)
accuracy99.9%
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))
accuracy99.9%
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))
accuracy99.8%
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
accuracy99.6%
(*.f32 (*.f32 normAngle normAngle) u)
Samples
104.0ms244×0valid
13.0ms5exit
2.0ms1valid
1.0ms2valid
Compiler

Compiled 351 to 54 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 52.0ms (54.1% of total)
const: 12.0ms (12.5% of total)
ival-add: 12.0ms (12.5% of total)
ival-sin: 7.0ms (7.3% of total)
adjust: 5.0ms (5.2% of total)
ival-div: 5.0ms (5.2% of total)
ival-sub: 1.0ms (1% 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)

series84.0ms (0.6%)

Memory
10.7MiB live, 162.8MiB allocated
Counts
23 → 684
Calls
Call 1
Inputs
#<alt (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))>
#<alt (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u))))>
#<alt (+ (* u (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))) n0_i)>
#<alt (+ (* (* normAngle normAngle) 1/3) -1)>
#<alt (* n1_i u)>
#<alt (+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u))>
#<alt (+ (* u (* u u)) (neg u))>
#<alt (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))>
#<alt (* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))>
#<alt (+ (* u (/ (* n1_i normAngle) (sin normAngle))) n0_i)>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i normAngle)>
#<alt (sin normAngle)>
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)))>
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i))>
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i)>
#<alt (sin (* (- 1 u) normAngle))>
#<alt (* (* normAngle normAngle) u)>
#<alt (* n0_i (* (* normAngle normAngle) u))>
#<alt (* -1/2 (* n0_i (* (* normAngle normAngle) u)))>
#<alt (* n1_i (+ (* u (* u u)) (neg u)))>
#<alt (* normAngle 1/120)>
#<alt (* (- 1 u) normAngle)>
Outputs
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))>
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))>
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))>
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* 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)))) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* 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 (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) 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 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))>
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))>
#<alt n1_i>
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 n1_i))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/2 (* n0_i u))) (* -1/6 n1_i))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* (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 (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))))>
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))))>
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i 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 (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i)))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i 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 (* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* n1_i u) (* normAngle (sin normAngle)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))>
#<alt (* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* 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)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))>
#<alt (+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 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) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 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 (* 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 (* n1_i u)>
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))>
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))>
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))>
#<alt (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))>
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))>
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))>
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (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))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* -1 u)>
#<alt (* u (- (pow u 2) 1))>
#<alt (* u (- (pow u 2) 1))>
#<alt (* u (- (pow u 2) 1))>
#<alt (pow u 3)>
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))>
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))>
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))>
#<alt (pow u 3)>
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))>
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))>
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))>
#<alt (* 1/6 (* n1_i (* normAngle u)))>
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))>
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))>
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))>
#<alt (* -1/6 (* n1_i (* normAngle (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))>
#<alt (* -1/6 (* n1_i (* normAngle (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* -1/6 (* n1_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* -1/6 (* n1_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<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>
#<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)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
#<alt (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* (pow normAngle 2) (* u (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
#<alt (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* (pow normAngle 2) (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
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#<alt (/ (+ (* 120 (sin (* normAngle (- 1 u)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))>
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#<alt (/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u)))))) (* 288000 (sin (* normAngle (- 1 u))))) (pow normAngle 6))) (* 120 (sin (* normAngle (- 1 u))))) (+ (* -48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5))>
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#<alt (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (+ (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
#<alt (+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
#<alt (+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
#<alt (* n1_i u)>
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#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))>
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i 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)) (+ (* n1_i 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)))))) (* 1/120 (- (* -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 (* n1_i u)>
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#<alt (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (* n1_i u)))>
#<alt (- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 9))) (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))))>
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#<alt (* n1_i u)>
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#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))>
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#<alt (* n1_i u)>
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#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))>
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#<alt (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5)))>
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#<alt (sin normAngle)>
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#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
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#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
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#<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 (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* n0_i (* (pow normAngle 2) u))>
#<alt (* 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 (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* -1 (* n1_i u))>
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))>
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))>
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))>
#<alt (* n1_i (pow u 3))>
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* n1_i (pow u 3))>
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 normAngle)>
#<alt (* 1/120 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

171 calls:

TimeVariablePointExpression
14.0ms
u
@0
(* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))
5.0ms
normAngle
@inf
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i))
5.0ms
n1_i
@-inf
(+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u))
1.0ms
u
@inf
(* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)))
1.0ms
n1_i
@0
(+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u))

rewrite375.0ms (2.5%)

Memory
11.1MiB live, 687.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 956×*-lowering-*.f32
4 956×*-lowering-*.f64
4 240×accelerator-lowering-fma.f32
4 240×accelerator-lowering-fma.f64
3 614×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052255
1299255
22528255
08378237
Stop Event
iter limit
node limit
Counts
23 → 603
Calls
Call 1
Inputs
(+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))
(+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u))))
(+ (* u (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))) n0_i)
(+ (* (* normAngle normAngle) 1/3) -1)
(* n1_i u)
(+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u))
(+ (* u (* u u)) (neg u))
(* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))
(* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))
(+ (* u (/ (* n1_i normAngle) (sin normAngle))) n0_i)
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i normAngle)
(sin normAngle)
(* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i)
(sin (* (- 1 u) normAngle))
(* (* normAngle normAngle) u)
(* n0_i (* (* normAngle normAngle) u))
(* -1/2 (* n0_i (* (* normAngle normAngle) u)))
(* n1_i (+ (* u (* u u)) (neg u)))
(* normAngle 1/120)
(* (- 1 u) normAngle)
Outputs
(+.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(+.f32 (*.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(+.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))
(+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32))) (+.f32 (neg.f32 n0_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))))
(+.f32 (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))))
(+.f32 (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(+.f32 (+.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)))) (neg.f32 n0_i))
(pow.f32 (/.f32 (fma.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (-.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (*.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (neg.f32 n0_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 normAngle (*.f32 (*.f32 normAngle #s(literal 1/3 binary32)) n0_i) (+.f32 (neg.f32 n0_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))))
(fma.f32 normAngle (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(fma.f32 normAngle (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/3 binary32) n0_i) (+.f32 (neg.f32 n0_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))))
(fma.f32 #s(literal 1/3 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (+.f32 (neg.f32 n0_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i (+.f32 (neg.f32 n0_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n0_i (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal -1/2 binary32) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(fma.f32 (neg.f32 (*.f32 normAngle n1_i)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
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(*.f32 (fma.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))))))))
(*.f32 (fma.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) (neg.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (neg.f32 (*.f32 n1_i u)))))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle #s(literal 1 binary32))) (cos.f32 (*.f32 normAngle (neg.f32 u)))) (*.f32 (cos.f32 (*.f32 normAngle #s(literal 1 binary32))) (sin.f32 (*.f32 normAngle (neg.f32 u)))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1 binary32) normAngle)) (cos.f32 (*.f32 (neg.f32 u) normAngle))) (*.f32 (cos.f32 (*.f32 #s(literal 1 binary32) normAngle)) (sin.f32 (*.f32 (neg.f32 u) normAngle))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (sin.f32 (*.f32 normAngle #s(literal 1 binary32))) (cos.f32 (*.f32 normAngle (neg.f32 u))) (*.f32 (cos.f32 (*.f32 normAngle #s(literal 1 binary32))) (sin.f32 (*.f32 normAngle (neg.f32 u)))))
(fma.f32 (sin.f32 (*.f32 #s(literal 1 binary32) normAngle)) (cos.f32 (*.f32 (neg.f32 u) normAngle)) (*.f32 (cos.f32 (*.f32 #s(literal 1 binary32) normAngle)) (sin.f32 (*.f32 (neg.f32 u) normAngle))))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(*.f32 normAngle (*.f32 normAngle u))
(*.f32 (*.f32 normAngle normAngle) u)
(*.f32 u (*.f32 normAngle normAngle))
(*.f32 (*.f32 normAngle u) normAngle)
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
(*.f32 normAngle (*.f32 (*.f32 normAngle u) n0_i))
(*.f32 (*.f32 normAngle normAngle) (*.f32 u n0_i))
(*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle)))
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i)
(*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)
(*.f32 (*.f32 n0_i normAngle) (*.f32 normAngle u))
(*.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle))
(*.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))))
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal -1/2 binary32)))
(*.f32 (*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal -1/2 binary32))
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (*.f32 normAngle normAngle) u))
(*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u #s(literal -1/2 binary32)))
(*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) n0_i)
(*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) u)
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) normAngle) (*.f32 normAngle u))
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle normAngle)) u)
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (*.f32 normAngle normAngle))
(+.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u)))
(+.f32 (neg.f32 (*.f32 n1_i u)) (*.f32 n1_i (*.f32 u (*.f32 u u))))
(fma.f32 #s(literal -1 binary32) (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 u u))))
(fma.f32 n1_i (*.f32 u (*.f32 u u)) (neg.f32 (*.f32 n1_i u)))
(fma.f32 n1_i (neg.f32 u) (*.f32 n1_i (*.f32 u (*.f32 u u))))
(fma.f32 u (*.f32 (*.f32 u u) n1_i) (neg.f32 (*.f32 n1_i u)))
(fma.f32 (*.f32 n1_i u) (*.f32 u u) (neg.f32 (*.f32 n1_i u)))
(fma.f32 (*.f32 u u) (*.f32 n1_i u) (neg.f32 (*.f32 n1_i u)))
(fma.f32 (*.f32 u (*.f32 u u)) n1_i (neg.f32 (*.f32 n1_i u)))
(fma.f32 (neg.f32 u) n1_i (*.f32 n1_i (*.f32 u (*.f32 u u))))
(fma.f32 (*.f32 n1_i (*.f32 u u)) u (neg.f32 (*.f32 n1_i u)))
(fma.f32 (*.f32 n1_i #s(literal -1 binary32)) u (*.f32 n1_i (*.f32 u (*.f32 u u))))
(-.f32 (/.f32 (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u)))) (/.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u)))))
(/.f32 (fma.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))) (*.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u))))) (fma.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u))))))
(/.f32 (-.f32 (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u))))
(/.f32 (*.f32 n1_i (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 u (*.f32 u u)))) (fma.f32 u (*.f32 (*.f32 u u) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 u (*.f32 u (*.f32 u u))))))
(/.f32 (*.f32 n1_i (*.f32 (fma.f32 u (*.f32 u u) u) (fma.f32 u (*.f32 u u) u))) (fma.f32 u (*.f32 u u) u))
(/.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 u (*.f32 u u))) n1_i) (fma.f32 u (*.f32 (*.f32 u u) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 u (*.f32 u (*.f32 u u))))))
(/.f32 (*.f32 (*.f32 (fma.f32 u (*.f32 u u) u) (fma.f32 u (*.f32 u u) u)) n1_i) (fma.f32 u (*.f32 u u) u))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))) (*.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))))) (neg.f32 (fma.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (*.f32 n1_i (*.f32 u (*.f32 n1_i u))))) (neg.f32 (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u)))))
(/.f32 (neg.f32 (*.f32 n1_i (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 u (*.f32 u u))))) (neg.f32 (fma.f32 u (*.f32 (*.f32 u u) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 u (*.f32 u (*.f32 u u)))))))
(/.f32 (neg.f32 (*.f32 n1_i (*.f32 (fma.f32 u (*.f32 u u) u) (fma.f32 u (*.f32 u u) u)))) (neg.f32 (fma.f32 u (*.f32 u u) u)))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 u (*.f32 u u))) n1_i)) (neg.f32 (fma.f32 u (*.f32 (*.f32 u u) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 u (*.f32 u (*.f32 u u)))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (fma.f32 u (*.f32 u u) u) (fma.f32 u (*.f32 u u) u)) n1_i)) (neg.f32 (fma.f32 u (*.f32 u u) u)))
(*.f32 n1_i (fma.f32 u (*.f32 u u) u))
(*.f32 (fma.f32 u (*.f32 u u) u) n1_i)
(*.f32 normAngle #s(literal 1/120 binary32))
(*.f32 #s(literal 1/120 binary32) normAngle)
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))
(+.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle))
(/.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (neg.f32 (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle)) (neg.f32 (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)

simplify541.0ms (3.6%)

Memory
22.3MiB live, 781.7MiB allocated
Algorithm
egg-herbie
Rules
14 016×accelerator-lowering-fma.f32
14 016×accelerator-lowering-fma.f64
8 212×*-lowering-*.f32
8 212×*-lowering-*.f64
4 558×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080310688
1267810390
083459740
Stop Event
iter limit
node limit
Counts
684 → 684
Calls
Call 1
Inputs
(/ (* n1_i normAngle) (sin normAngle))
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* 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)))) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* 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)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) 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 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))
n1_i
(+ n1_i (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 n1_i))))
(+ n1_i (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/2 (* n0_i u))) (* -1/6 n1_i))))
(+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* (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))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))))
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i 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 (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i)))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i 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))))))))))))))
(* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))
(* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* n1_i u) (* normAngle (sin normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))
(* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))
(* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* 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)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 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))))
(* 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)
(* n1_i u)
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* -1 u)
(* u (- (pow u 2) 1))
(* u (- (pow u 2) 1))
(* u (- (pow u 2) 1))
(pow u 3)
(* (pow u 3) (- 1 (/ 1 (pow u 2))))
(* (pow u 3) (- 1 (/ 1 (pow u 2))))
(* (pow u 3) (- 1 (/ 1 (pow u 2))))
(pow u 3)
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))
(* 1/6 (* n1_i (* normAngle u)))
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))
(* -1/6 (* n1_i (* normAngle (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))
(* -1/6 (* n1_i (* normAngle (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* 1/6 (* n1_i u))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* -1/6 (* n1_i (pow u 3)))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* -1/6 (* n1_i (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(/ (* 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
(+ 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)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(+ (* -1 (/ (* normAngle (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* (pow normAngle 2) (* u (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* (pow normAngle 2) (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(- 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))))) (* 1/120 (- (* -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)
(* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5)))
(/ (+ (* 120 (sin (* normAngle (- 1 u)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))
(/ (- (+ (* -1 (/ (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u))))) (pow normAngle 4))) (* 120 (sin (* normAngle (- 1 u))))) (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))
(/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u)))))) (* 288000 (sin (* normAngle (- 1 u))))) (pow normAngle 6))) (* 120 (sin (* normAngle (- 1 u))))) (+ (* -48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5))
(* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5)))
(* -1 (/ (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* -120 (sin (* normAngle (- 1 u))))) (pow normAngle 5)))
(* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))) (pow normAngle 4)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5)))
(* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -288000 (sin (* normAngle (- 1 u)))) (* 20 (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))))) (pow normAngle 6)))) (+ (* -14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5)))
(/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(+ (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(* n1_i u)
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(+ (* 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 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i 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)) (+ (* n1_i 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)))))) (* 1/120 (- (* -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 u)
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (* n1_i u)))
(- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 9))) (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))))
(* n1_i u)
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))
(+ (* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5))) (* n1_i u))
(+ (* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) (* n1_i u))
(* n1_i u)
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(* n1_i u)
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* 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)))))) (* 1/120 (- (* -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))))))
(* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5)))
(/ (+ (* 120 (* n0_i (sin (* normAngle (- 1 u))))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))
(/ (- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))
(/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u))))))) (* 288000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 6))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* -48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5))
(* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5)))
(* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5)))
(* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5)))
(* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -288000 (* n0_i (sin (* normAngle (- 1 u))))) (* 20 (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))))) (pow normAngle 6)))) (+ (* -14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(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)))
(* (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)
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* n0_i (* (pow normAngle 2) u))
(* 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)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* n1_i (- (pow u 3) u))
(* -1 (* n1_i u))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(* n1_i (pow u 3))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* n1_i (pow u 3))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 normAngle)
(* 1/120 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
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))))
(neg.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (fma.f32 (*.f32 normAngle 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)))) (* 1/2 (* (pow normAngle 2) u))))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) (neg.f32 n0_i))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i)))))
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 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 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* -1/2 (* n0_i u)) (* 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 n0_i #s(literal 1/3 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) (- (+ (* -1/2 (* n0_i u)) (+ (* 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 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))) (/.f32 n0_i (*.f32 normAngle normAngle))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))) (/.f32 n0_i (*.f32 normAngle normAngle))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (/.f32 (-.f32 (/.f32 n0_i normAngle) (/.f32 n1_i (sin.f32 normAngle))) normAngle)))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (/.f32 (-.f32 (/.f32 n0_i normAngle) (/.f32 n1_i (sin.f32 normAngle))) normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))
(*.f32 (-.f32 (neg.f32 (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))
(*.f32 (-.f32 (neg.f32 (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))
(*.f32 (-.f32 (neg.f32 (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i)) (neg.f32 n1_i))
(+ (* 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 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.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 (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))))
(* -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 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(neg.f32 (*.f32 u (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) u)))))
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(neg.f32 (*.f32 u (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) u)))))
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(neg.f32 (*.f32 u (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) 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))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))
(*.f32 n1_i (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))
(*.f32 (fma.f32 n0_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) #s(literal 1/2 binary32)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))
(*.f32 (fma.f32 n0_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) #s(literal 1/2 binary32)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))
(*.f32 (fma.f32 n0_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) #s(literal 1/2 binary32)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
n1_i
(+ n1_i (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 n1_i))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(+ n1_i (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/2 (* n0_i u))) (* -1/6 n1_i))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (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) (- (+ (* -1/2 (* n0_i u)) (* (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))) (*.f32 (neg.f32 normAngle) normAngle) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_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) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.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) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.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)))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
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(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
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n0_i
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(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))))
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(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
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(* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))))
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(* -1 (* n0_i (- (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))
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(+ n0_i (* u (+ n1_i (* -1 n0_i))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i))))))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_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 (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i 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))))))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))
(* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* n1_i u) (* normAngle (sin normAngle)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (/.f32 (*.f32 n1_i u) (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))
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(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))))
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(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))))
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(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
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n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
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(fma.f32 (*.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) n0_i)
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(neg.f32 (*.f32 n0_i (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)))) 1)))
(neg.f32 (*.f32 n0_i (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)))) 1)))
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) 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))) (*.f32 (neg.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 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(+ (* -1 (/ (* normAngle (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 u (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* (pow normAngle 2) (* u (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* (pow normAngle 2) (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (*.f32 u (cos.f32 normAngle)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) 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 #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) (-.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) (-.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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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)) (* (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))))) (* 1/120 (- (* -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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (*.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))) (-.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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5)))
(*.f32 #s(literal 120 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 5 binary32))))
(/ (+ (* 120 (sin (* normAngle (- 1 u)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))
(/.f32 (fma.f32 #s(literal 2400 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32)))
(/ (- (+ (* -1 (/ (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u))))) (pow normAngle 4))) (* 120 (sin (* normAngle (- 1 u))))) (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))
(/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -33600 binary32)) (neg.f32 (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 #s(literal 2400 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 120 binary32)))) (pow.f32 normAngle #s(literal 5 binary32)))
(/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u)))))) (* 288000 (sin (* normAngle (- 1 u))))) (pow normAngle 6))) (* 120 (sin (* normAngle (- 1 u))))) (+ (* -48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5))
(/.f32 (-.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 120 binary32) (/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -672000 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 288000 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) #s(literal -2400 binary32) (fma.f32 #s(literal 14400 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -48000 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))))) (pow.f32 normAngle #s(literal 5 binary32)))
(* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5)))
(*.f32 #s(literal 120 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 5 binary32))))
(* -1 (/ (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* -120 (sin (* normAngle (- 1 u))))) (pow normAngle 5)))
(/.f32 (fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) #s(literal -2400 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -120 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))))
(* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))) (pow normAngle 4)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5)))
(/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 33600 binary32)) (neg.f32 (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) #s(literal -2400 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -120 binary32)))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))))
(* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -288000 (sin (* normAngle (- 1 u)))) (* 20 (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))))) (pow normAngle 6)))) (+ (* -14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5)))
(neg.f32 (/.f32 (-.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -120 binary32) (/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 672000 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -288000 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 #s(literal 2400 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) (fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 48000 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -14400 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))))) (pow.f32 normAngle #s(literal 5 binary32))))
(/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(+ (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n1_i) (/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 n0_i (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 u (fma.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n1_i))))
(+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 n0_i (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 u (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 normAngle (cos.f32 normAngle))))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n1_i))))
(* n1_i u)
(*.f32 n1_i u)
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i))
(* n1_i u)
(*.f32 n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i)))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i)))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i)))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 normAngle (*.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i 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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i 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)))))) (* 1/120 (- (* -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 normAngle (*.f32 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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* n1_i u)
(*.f32 n1_i u)
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))
(fma.f32 (*.f32 #s(literal 120 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 5 binary32))) (*.f32 n1_i u))
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (* n1_i u)))
(fma.f32 n1_i u (fma.f32 (*.f32 #s(literal 2400 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32)))))
(- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 9))) (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))))
(+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -33600 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 9 binary32)))) (fma.f32 n1_i u (fma.f32 (*.f32 #s(literal 2400 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32))))))
(* n1_i u)
(*.f32 n1_i u)
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))
(fma.f32 (*.f32 #s(literal 120 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 5 binary32))) (*.f32 n1_i u))
(+ (* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5))) (* n1_i u))
(fma.f32 n1_i u (/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32)))))
(+ (* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) (* n1_i u))
(fma.f32 n1_i u (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 33600 binary32))) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle)))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32)))))
(* n1_i u)
(*.f32 n1_i u)
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(* n1_i u)
(*.f32 n1_i u)
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u))
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u))
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u))
(* n1_i u)
(*.f32 n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u)))
(/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 u (*.f32 normAngle (cos.f32 normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) (/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 normAngle (cos.f32 normAngle))))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) (/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) 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 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) 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))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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)))))) (* 1/120 (- (* -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 normAngle (*.f32 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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5)))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32)))
(/ (+ (* 120 (* n0_i (sin (* normAngle (- 1 u))))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))
(/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 5 binary32)))
(/ (- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))
(/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -33600 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle)))) (pow.f32 normAngle #s(literal 5 binary32)))
(/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u))))))) (* 288000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 6))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* -48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5))
(/.f32 (-.f32 (fma.f32 n0_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 120 binary32)) (/.f32 (fma.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -672000 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 288000 binary32)))) (neg.f32 (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 (*.f32 #s(literal -48000 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 #s(literal 14400 binary32) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle))))) (pow.f32 normAngle #s(literal 5 binary32)))
(* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5)))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32)))
(* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5)))
(/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))))
(* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5)))
(/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 33600 binary32))) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle)))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))))
(* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -288000 (* n0_i (sin (* normAngle (- 1 u))))) (* 20 (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))))) (pow normAngle 6)))) (+ (* -14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5)))
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(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
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(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
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(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
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(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
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(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
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(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
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(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
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(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 u (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 normAngle (neg.f32 (cos.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))) (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 normAngle (neg.f32 (cos.f32 normAngle)) (*.f32 u (fma.f32 (*.f32 u (cos.f32 normAngle)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) (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)))
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(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))
(*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (-.f32 #s(literal 1 binary32) 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))
(*.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) (neg.f32 u) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u)))
(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))
(* (pow normAngle 2) u)
(*.f32 (*.f32 normAngle normAngle) u)
(* (pow normAngle 2) u)
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(* (pow normAngle 2) u)
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(* (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)
(* n0_i (* (pow normAngle 2) u))
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
(* n0_i (* (pow normAngle 2) u))
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
(* n0_i (* (pow normAngle 2) u))
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
(* n0_i (* (pow normAngle 2) u))
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
(* n0_i (* (pow normAngle 2) u))
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))
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(* -1/2 (* n0_i (* (pow normAngle 2) u)))
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(* -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)))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (- (pow u 3) u))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* -1 (* n1_i u))
(*.f32 n1_i (neg.f32 u))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
(* n1_i (pow u 3))
(*.f32 n1_i (*.f32 u (*.f32 u u)))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(*.f32 u (*.f32 (*.f32 u u) (-.f32 n1_i (/.f32 n1_i (*.f32 u u)))))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(*.f32 u (*.f32 (*.f32 u u) (-.f32 n1_i (/.f32 n1_i (*.f32 u u)))))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(*.f32 u (*.f32 (*.f32 u u) (-.f32 n1_i (/.f32 n1_i (*.f32 u u)))))
(* n1_i (pow u 3))
(*.f32 n1_i (*.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(neg.f32 (*.f32 u (*.f32 (*.f32 u u) (-.f32 (/.f32 n1_i (*.f32 u u)) n1_i))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(neg.f32 (*.f32 u (*.f32 (*.f32 u u) (-.f32 (/.f32 n1_i (*.f32 u u)) n1_i))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(neg.f32 (*.f32 u (*.f32 (*.f32 u u) (-.f32 (/.f32 n1_i (*.f32 u u)) n1_i))))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
(* 1/120 normAngle)
(*.f32 normAngle #s(literal 1/120 binary32))
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 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)

eval148.0ms (1%)

Memory
-10.9MiB live, 302.3MiB allocated
Compiler

Compiled 51 823 to 3 101 computations (94% saved)

prune161.0ms (1.1%)

Memory
18.7MiB live, 410.0MiB allocated
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New1 304221 326
Fresh51823
Picked325
Done011
Total1 312431 355
Accuracy
100.0%
Counts
1 355 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
97.3%
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
98.8%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
98.6%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
98.2%
(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)))
98.8%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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)
98.6%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n0_i #s(literal 1/3 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)
82.0%
(fma.f32 u (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) n0_i)
98.8%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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)
98.6%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
98.3%
(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)
81.9%
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
98.9%
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
98.8%
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
97.5%
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
75.7%
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
75.6%
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
75.9%
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
57.8%
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
97.0%
(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))))
81.0%
(fma.f32 u n1_i n0_i)
41.7%
(fma.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
41.6%
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
82.0%
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
96.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
33.3%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
47.5%
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
48.1%
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
97.4%
(+.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.3%
(+.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 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.2%
(+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 #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))
96.4%
(+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
97.1%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
80.9%
(+.f32 n0_i (*.f32 u n1_i))
78.0%
(*.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)))
41.5%
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
40.6%
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle)))
40.2%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
41.6%
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
41.7%
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
41.1%
(*.f32 n1_i u)
57.7%
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
45.5%
n0_i
Compiler

Compiled 2 235 to 1 289 computations (42.3% saved)

simplify499.0ms (3.3%)

Memory
-17.7MiB live, 977.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 u (*.f32 u u))
cost-diff0
(fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)
cost-diff0
(*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
cost-diff0
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle)))
cost-diff0
(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)))
cost-diff64
(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)))))
cost-diff96
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
cost-diff128
(fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))
cost-diff0
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))
cost-diff0
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle)
cost-diff160
(fma.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
cost-diff0
(fma.f32 u n1_i n0_i)
cost-diff0
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
cost-diff96
(*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))
cost-diff160
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
cost-diff192
(/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))
Rules
24 382×accelerator-lowering-fma.f32
24 382×accelerator-lowering-fma.f64
4 418×*-lowering-*.f32
4 418×*-lowering-*.f64
4 282×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049369
1154356
2503337
32426319
44744318
08217303
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))
normAngle
(/ n1_i (sin normAngle))
n1_i
(sin normAngle)
(/ n0_i (* (/ -1 normAngle) (tan normAngle)))
n0_i
(* (/ -1 normAngle) (tan normAngle))
(/ -1 normAngle)
-1
(tan normAngle)
u
(+ (* u n1_i) n0_i)
u
n1_i
n0_i
(+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u))
normAngle
(* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)
(* -1/6 (* u (* n1_i (+ (* u u) -1))))
-1/6
(* u (* n1_i (+ (* u u) -1)))
u
(* n1_i (+ (* u u) -1))
n1_i
(+ (* u u) -1)
-1
(* n1_i u)
(+ (* (* normAngle normAngle) (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))) (+ (* n0_i (- 1 u)) (* u n1_i)))
(* normAngle normAngle)
normAngle
(* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))
-1/6
(+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))
(- 1 u)
1
u
(+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))
n0_i
(* (- 1 u) (- 1 u))
(neg n0_i)
(* n1_i (* u (+ (* u u) -1)))
n1_i
(* u (+ (* u u) -1))
(+ (* u u) -1)
-1
(+ (* n0_i (- 1 u)) (* u n1_i))
(* u n1_i)
(* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle)))
(* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u))
normAngle
(+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)
(* u (* u u))
u
(* u u)
(* (* normAngle normAngle) -1/6)
(* normAngle normAngle)
-1/6
(/ n1_i (sin normAngle))
n1_i
(sin normAngle)
Outputs
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)
(fma.f32 (*.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) n0_i)
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
normAngle
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin normAngle)
(sin.f32 normAngle)
(/ n0_i (* (/ -1 normAngle) (tan normAngle)))
(neg.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle))))
n0_i
(* (/ -1 normAngle) (tan normAngle))
(/.f32 (tan.f32 normAngle) (neg.f32 normAngle))
(/ -1 normAngle)
(/.f32 #s(literal -1 binary32) normAngle)
-1
#s(literal -1 binary32)
(tan normAngle)
(tan.f32 normAngle)
u
(+ (* u n1_i) n0_i)
(fma.f32 n1_i u n0_i)
u
n1_i
n0_i
(+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u))
(*.f32 (*.f32 n1_i u) (fma.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) (fma.f32 u u #s(literal -1 binary32)) #s(literal 1 binary32)))
normAngle
(* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)
(*.f32 (*.f32 n1_i u) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32))) normAngle))
(* -1/6 (* u (* n1_i (+ (* u u) -1))))
(*.f32 (*.f32 n1_i u) (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32))))
-1/6
#s(literal -1/6 binary32)
(* u (* n1_i (+ (* u u) -1)))
(*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))
u
(* n1_i (+ (* u u) -1))
(*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))
n1_i
(+ (* u u) -1)
(fma.f32 u u #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(* n1_i u)
(*.f32 n1_i u)
(+ (* (* normAngle normAngle) (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))) (+ (* n0_i (- 1 u)) (* u n1_i)))
(fma.f32 normAngle (*.f32 (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 u u (neg.f32 u))) (-.f32 #s(literal 2 binary32) u))) (*.f32 normAngle #s(literal -1/6 binary32))) (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))
(*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 u u (neg.f32 u))) (-.f32 #s(literal 2 binary32) u))))
-1/6
#s(literal -1/6 binary32)
(+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))
(fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 u u (neg.f32 u))) (-.f32 #s(literal 2 binary32) u)))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))
(*.f32 (*.f32 n0_i (neg.f32 u)) (-.f32 #s(literal 2 binary32) u))
n0_i
(* (- 1 u) (- 1 u))
(fma.f32 (neg.f32 u) (-.f32 #s(literal 2 binary32) u) #s(literal 1 binary32))
(neg n0_i)
(neg.f32 n0_i)
(* n1_i (* u (+ (* u u) -1)))
(*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))
n1_i
(* u (+ (* u u) -1))
(*.f32 u (fma.f32 u u #s(literal -1 binary32)))
(+ (* u u) -1)
(fma.f32 u u #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(+ (* n0_i (- 1 u)) (* u n1_i))
(fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)
(* u n1_i)
(*.f32 n1_i u)
(* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle)))
(*.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 u (*.f32 normAngle (*.f32 u u)))) u))
(* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u))
(*.f32 (fma.f32 (*.f32 normAngle #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 u u)) #s(literal 1 binary32)) (*.f32 normAngle u))
normAngle
(+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)
(fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 u (*.f32 normAngle (*.f32 u u)))) u)
(* u (* u u))
(*.f32 u (*.f32 u u))
u
(* u u)
(*.f32 u u)
(* (* normAngle normAngle) -1/6)
(*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
-1/6
#s(literal -1/6 binary32)
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin normAngle)
(sin.f32 normAngle)

localize153.0ms (1%)

Memory
21.8MiB live, 327.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f32 n1_i (sin.f32 normAngle))
accuracy99.4%
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
accuracy99.2%
(*.f32 u (*.f32 u u))
accuracy95.4%
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle)))
accuracy99.2%
(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)))))
accuracy98.8%
(*.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))))))
accuracy98.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
accuracy65.6%
(fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))
accuracy99.8%
(*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))
accuracy99.7%
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))
accuracy99.7%
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle)
accuracy99.0%
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))
accuracy100.0%
(fma.f32 u n1_i n0_i)
accuracy99.9%
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
accuracy99.9%
(/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))
accuracy99.7%
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
accuracy99.5%
(*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))
Samples
85.0ms254×0valid
1.0ms1valid
1.0ms2valid
Compiler

Compiled 353 to 51 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 38.0ms (57.5% of total)
ival-add: 11.0ms (16.6% of total)
ival-div: 5.0ms (7.6% of total)
const: 4.0ms (6% of total)
ival-sin: 3.0ms (4.5% of total)
ival-tan: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% 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)

series63.0ms (0.4%)

Memory
28.3MiB live, 141.3MiB allocated
Counts
22 → 624
Calls
Call 1
Inputs
#<alt (/ n0_i (* (/ -1 normAngle) (tan normAngle)))>
#<alt (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))>
#<alt (* (/ -1 normAngle) (tan normAngle))>
#<alt (+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)>
#<alt (+ (* u n1_i) n0_i)>
#<alt (+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u))>
#<alt (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)>
#<alt (* -1/6 (* u (* n1_i (+ (* u u) -1))))>
#<alt (* u (* n1_i (+ (* u u) -1)))>
#<alt (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))>
#<alt (+ (* n0_i (- 1 u)) (* u n1_i))>
#<alt (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))>
#<alt (+ (* (* normAngle normAngle) (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))) (+ (* n0_i (- 1 u)) (* u n1_i)))>
#<alt (* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle)))>
#<alt (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u))>
#<alt (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)>
#<alt (* u (* u u))>
#<alt (* n1_i (+ (* u u) -1))>
#<alt (* (- 1 u) (- 1 u))>
#<alt (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))>
#<alt (* (* normAngle normAngle) -1/6)>
#<alt (/ n1_i (sin normAngle))>
Outputs
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 n0_i)>
#<alt (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))>
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i))))))>
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))))))))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (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) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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 (/ (* 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 -1>
#<alt (- (* -1/3 (pow normAngle 2)) 1)>
#<alt (- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1)>
#<alt (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1)>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<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) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 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) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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 (/ (* 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>
#<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 n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* n1_i u)>
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))>
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))>
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))>
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))>
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))>
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (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))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))>
#<alt (* 1/6 (* n1_i (* normAngle u)))>
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))>
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))>
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))>
#<alt (* -1/6 (* n1_i (* normAngle (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))>
#<alt (* -1/6 (* n1_i (* normAngle (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* -1/6 (* n1_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* -1/6 (* n1_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1 (* n1_i u))>
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))>
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))>
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))>
#<alt (* n1_i (pow u 3))>
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* n1_i (pow u 3))>
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
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#<alt (* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (+ (* 2 (/ n0_i u)) (/ n0_i u)))))))>
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#<alt (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))>
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#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))>
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
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#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u)))>
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u)))>
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#<alt (* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u))>
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u))>
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#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))>
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#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))>
#<alt (* n1_i u)>
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#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/6 (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))>
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))>
#<alt (* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))))>
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#<alt (* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))))>
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))>
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))>
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))>
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))>
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))>
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))>
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))>
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))>
#<alt (* normAngle u)>
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))>
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))>
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))>
#<alt (* -1/6 (* (pow normAngle 3) (pow u 3)))>
#<alt (* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (* -1/6 (* (pow normAngle 3) (pow u 3)))>
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))>
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))>
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))>
#<alt (* normAngle u)>
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))>
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))>
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))>
#<alt (* -1/6 (* (pow normAngle 3) (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))>
#<alt (* -1/6 (* (pow normAngle 3) (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))>
#<alt u>
#<alt (* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))>
#<alt (* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))>
#<alt (* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))>
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))>
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))>
#<alt u>
#<alt (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))>
#<alt (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))>
#<alt (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* n1_i (- (pow u 2) 1))>
#<alt (* -1 n1_i)>
#<alt (+ (* -1 n1_i) (* n1_i (pow u 2)))>
#<alt (+ (* -1 n1_i) (* n1_i (pow u 2)))>
#<alt (+ (* -1 n1_i) (* n1_i (pow u 2)))>
#<alt (* n1_i (pow u 2))>
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* n1_i (pow u 2))>
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))>
#<alt 1>
#<alt (+ 1 (* -2 u))>
#<alt (+ 1 (* u (- u 2)))>
#<alt (+ 1 (* u (- u 2)))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))>
#<alt (* -1/6 (* u (+ (* -2 n0_i) (* -1 n1_i))))>
#<alt (* u (+ (* -1/6 (* u (+ n0_i (* 2 n0_i)))) (* -1/6 (+ (* -2 n0_i) (* -1 n1_i)))))>
#<alt (* u (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))>
#<alt (* u (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))>
#<alt (* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (+ n0_i (* 2 n0_i)) u))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 2))))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 2))))))>
#<alt (* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/6 (/ (+ n0_i (* 2 n0_i)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (+ n1_i (* 2 n0_i)) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (+ n1_i (* 2 n0_i)) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))>
#<alt (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))>
#<alt (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))>
#<alt (* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))>
#<alt (* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))>
#<alt (* 1/6 (* n0_i (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))>
#<alt (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))>
#<alt (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))>
#<alt (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))>
#<alt (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))>
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))>
#<alt (* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<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))>
Calls

156 calls:

TimeVariablePointExpression
3.0ms
normAngle
@0
(+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u))
2.0ms
n1_i
@inf
(* n1_i (+ (* u u) -1))
2.0ms
n0_i
@-inf
(+ (* n0_i (- 1 u)) (* u n1_i))
2.0ms
n1_i
@0
(* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle)))
1.0ms
normAngle
@inf
(/ n0_i (* (/ -1 normAngle) (tan normAngle)))

rewrite416.0ms (2.8%)

Memory
-12.3MiB live, 676.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 612×*-lowering-*.f32
6 612×*-lowering-*.f64
4 988×accelerator-lowering-fma.f32
4 988×accelerator-lowering-fma.f64
3 040×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049276
1309265
22832265
08509250
Stop Event
iter limit
node limit
Counts
22 → 765
Calls
Call 1
Inputs
(/ n0_i (* (/ -1 normAngle) (tan normAngle)))
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))
(* (/ -1 normAngle) (tan normAngle))
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)
(+ (* u n1_i) n0_i)
(+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u))
(* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)
(* -1/6 (* u (* n1_i (+ (* u u) -1))))
(* u (* n1_i (+ (* u u) -1)))
(+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))
(+ (* n0_i (- 1 u)) (* u n1_i))
(+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))
(+ (* (* normAngle normAngle) (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))) (+ (* n0_i (- 1 u)) (* u n1_i)))
(* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle)))
(* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u))
(+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)
(* u (* u u))
(* n1_i (+ (* u u) -1))
(* (- 1 u) (- 1 u))
(* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))
(* (* normAngle normAngle) -1/6)
(/ n1_i (sin normAngle))
Outputs
(neg.f32 (/.f32 n0_i (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))))
(neg.f32 (/.f32 (neg.f32 n0_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (tan.f32 normAngle) (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))) (/.f32 n0_i (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))))
(/.f32 n0_i (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))))
(/.f32 (neg.f32 n0_i) (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (tan.f32 normAngle))
(/.f32 (*.f32 n0_i #s(literal 1 binary32)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))))
(/.f32 (neg.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (tan.f32 normAngle)))
(/.f32 (/.f32 n0_i (tan.f32 normAngle)) (/.f32 #s(literal -1 binary32) normAngle))
(*.f32 n0_i (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)))
(*.f32 #s(literal -1 binary32) (/.f32 n0_i (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))
(*.f32 (neg.f32 n0_i) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))))
(*.f32 (*.f32 normAngle #s(literal -1 binary32)) (pow.f32 (/.f32 (tan.f32 normAngle) n0_i) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) n0_i)
(*.f32 (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))
(*.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))
(*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)
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(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)) (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) u (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) n1_i (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 (*.f32 u #s(literal -1/6 binary32)) n1_i) (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 (*.f32 u #s(literal -1/6 binary32)) (fma.f32 u u #s(literal -1 binary32))) n1_i (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) #s(literal -1/216 binary32) (*.f32 (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) #s(literal -1/216 binary32))) (fma.f32 (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32))))) (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (-.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (neg.f32 n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (neg.f32 n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (-.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))
(/.f32 (*.f32 (*.f32 (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (neg.f32 n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (neg.f32 n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))
(*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(*.f32 (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) #s(literal -1/6 binary32))
(*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 (*.f32 normAngle #s(literal -1/6 binary32)) normAngle)
(neg.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) n1_i)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32)))
(/.f32 (neg.f32 n1_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 n1_i)) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i #s(literal 1 binary32)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (neg.f32 n1_i) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n1_i) #s(literal -1 binary32)))

simplify754.0ms (5.1%)

Memory
-151.4MiB live, 726.4MiB allocated
Algorithm
egg-herbie
Rules
10 610×accelerator-lowering-fma.f32
10 610×accelerator-lowering-fma.f64
7 372×*-lowering-*.f32
7 372×*-lowering-*.f64
5 936×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07619911
127219445
277559424
085939016
Stop Event
iter limit
node limit
Counts
624 → 624
Calls
Call 1
Inputs
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 n0_i)
(+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i))))))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))))))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (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) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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))))))
(/ (* 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)))))
-1
(- (* -1/3 (pow normAngle 2)) 1)
(- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1)
(- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1)
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(+ 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) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 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) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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)))))
(/ (* 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
(+ 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)))))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* n1_i u)
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
n0_i
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* n1_i u)
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(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2))))
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(* 1/6 (* n1_i (* normAngle u)))
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))
(* -1/6 (* n1_i (* normAngle (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))
(* -1/6 (* n1_i (* normAngle (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1)))))
(* 1/6 (* n1_i u))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* -1/6 (* n1_i (pow u 3)))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* -1/6 (* n1_i (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1 (* n1_i u))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(* u (+ (* -1 n1_i) (* n1_i (pow u 2))))
(* n1_i (pow u 3))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* n1_i (pow u 3))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (* u (- (pow u 2) 1)))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(* -2 (* n0_i u))
(* u (+ (* -2 n0_i) (* n0_i u)))
(* u (+ (* -2 n0_i) (* n0_i u)))
(* u (+ (* -2 n0_i) (* n0_i u)))
(* n0_i (pow u 2))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* n0_i (pow u 2))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* 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)))))
(* u (+ (* -2 n0_i) (* -1 n1_i)))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ n0_i (* 2 n0_i))))))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ n0_i (+ (* 2 n0_i) (* u (+ n1_i (* -1 n0_i)))))))))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ n0_i (+ (* 2 n0_i) (* u (+ n1_i (* -1 n0_i)))))))))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (+ (* 2 (/ n0_i u)) (/ n0_i u)))))
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (+ (* 2 (/ n0_i u)) (/ n0_i u)))))))
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (+ (* 2 (/ n0_i u)) (/ n0_i u)))))))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* 2 n0_i)) u))))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 2 n0_i))) u))))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 2 n0_i))) u))))))
(* n1_i (* u (- (pow u 2) 1)))
(+ (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* n1_i (* u (- (pow u 2) 1))))
(* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))
(* n0_i (+ (* (- 1 u) (- (pow (- 1 u) 2) 1)) (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))
(* n0_i (+ (* (- 1 u) (- (pow (- 1 u) 2) 1)) (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))
(* n0_i (+ (* (- 1 u) (- (pow (- 1 u) 2) 1)) (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))
(* -1 (* n0_i (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))
(* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))
(+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))
(+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))
(+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))
(* n1_i (* u (- (pow u 2) 1)))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))) (* u (+ (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))))))))))
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (/ n1_i (pow u 2)))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u)))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/6 (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))))
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))))
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))))
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* -1/6 (* (pow normAngle 3) (pow u 3)))
(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(* -1/6 (* (pow normAngle 3) (pow u 3)))
(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))
(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))
(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))
(* normAngle u)
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* -1/6 (* (pow normAngle 3) (pow u 3)))
(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))
(* -1/6 (* (pow normAngle 3) (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))
u
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))
(* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))
(* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))
u
(+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))
(+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))
(+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (pow u 2) 1))
(* -1 n1_i)
(+ (* -1 n1_i) (* n1_i (pow u 2)))
(+ (* -1 n1_i) (* n1_i (pow u 2)))
(+ (* -1 n1_i) (* n1_i (pow u 2)))
(* n1_i (pow u 2))
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* n1_i (pow u 2))
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))
1
(+ 1 (* -2 u))
(+ 1 (* u (- u 2)))
(+ 1 (* u (- u 2)))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* -1/6 (* u (+ (* -2 n0_i) (* -1 n1_i))))
(* u (+ (* -1/6 (* u (+ n0_i (* 2 n0_i)))) (* -1/6 (+ (* -2 n0_i) (* -1 n1_i)))))
(* u (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))
(* u (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (+ n0_i (* 2 n0_i)) u))))
(* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 2))))))
(* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 2))))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/6 (/ (+ n0_i (* 2 n0_i)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (+ n1_i (* 2 n0_i)) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (+ n1_i (* 2 n0_i)) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))
(+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))
(+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))
(* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))
(* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))
(* 1/6 (* n0_i (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))
(* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))
(+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))
(+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))
(+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(/ 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))
Outputs
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 n0_i)
(neg.f32 n0_i)
(+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))
(fma.f32 #s(literal 1/3 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (neg.f32 n0_i))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (*.f32 n0_i #s(literal 1/105 binary32))) (*.f32 n0_i #s(literal 1/45 binary32))) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ 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 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) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_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 n0_i #s(literal 1/45 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) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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))
(* 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 (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 normAngle (/.f32 n1_i (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 (sin.f32 normAngle) n1_i)) (/.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 (sin.f32 normAngle) n1_i)) (/.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 (sin.f32 normAngle) n1_i)) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(neg.f32 (*.f32 n1_i (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(neg.f32 (*.f32 n1_i (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(neg.f32 (*.f32 n1_i (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle))))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (sin.f32 normAngle))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (sin.f32 normAngle))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (sin.f32 normAngle))))))
-1
#s(literal -1 binary32)
(- (* -1/3 (pow normAngle 2)) 1)
(fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal -1 binary32))
(- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -2/15 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32))
(- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -17/315 binary32) #s(literal -2/15 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle)))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle)))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle)))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle)))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle)))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle)))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle)))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle)))
(+ 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 (- (* 1/3 n0_i) (* -1/6 n1_i))))))
(fma.f32 (*.f32 normAngle normAngle) (*.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 (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal 1/45 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 (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))))) (*.f32 (fma.f32 n0_i #s(literal 1/45 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 (*.f32 normAngle u) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 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)))
(* 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 (neg.f32 (*.f32 normAngle 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)))))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n1_i))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n1_i))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n1_i))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) n1_i)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (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 (*.f32 normAngle n1_i) (/.f32 u (*.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (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 (*.f32 normAngle n1_i) (/.f32 u (*.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (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 (*.f32 normAngle n1_i) (/.f32 u (*.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)))) n0_i)
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(*.f32 (neg.f32 n0_i) (fma.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (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 n0_i (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 n0_i (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 n0_i (sin.f32 normAngle))) #s(literal -1 binary32))))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) u n0_i)
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) u)
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))) (neg.f32 u))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))) (neg.f32 u))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))) (neg.f32 u))
n0_i
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(* n1_i u)
(*.f32 n1_i u)
(* u (+ n1_i (/ n0_i u)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(* n1_i u)
(*.f32 n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(*.f32 (-.f32 (/.f32 n0_i (neg.f32 u)) n1_i) (neg.f32 u))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(*.f32 (-.f32 (/.f32 n0_i (neg.f32 u)) n1_i) (neg.f32 u))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(*.f32 (-.f32 (/.f32 n0_i (neg.f32 u)) n1_i) (neg.f32 u))
n0_i
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(* n1_i u)
(*.f32 n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(* n1_i u)
(*.f32 n1_i u)
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(+ (* n0_i (- 1 u)) (* n1_i u))
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(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
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(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
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(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
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(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
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n0_i
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(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))))))))
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(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))) (* u (+ (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))))))))))
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(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 n1_i n0_i) (*.f32 u (*.f32 u u))))
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(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (/ n1_i (pow u 2)))))))
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(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
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(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))
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(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n1_i) 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) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (*.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))

eval217.0ms (1.5%)

Memory
-12.9MiB live, 371.5MiB allocated
Compiler

Compiled 56 769 to 3 818 computations (93.3% saved)

prune231.0ms (1.5%)

Memory
24.1MiB live, 466.0MiB allocated
Pruning

45 alts after pruning (40 fresh and 5 done)

PrunedKeptTotal
New1 414161 430
Fresh112435
Picked325
Done033
Total1 428451 473
Accuracy
100.0%
Counts
1 473 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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)) u n0_i)
98.6%
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u n0_i)
98.3%
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
98.6%
(fma.f32 (fma.f32 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) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
98.9%
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -2/15 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32)))) u n0_i)
97.4%
(fma.f32 (fma.f32 normAngle (/.f32 n1_i normAngle) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
97.3%
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
42.0%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u))
98.8%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
98.0%
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
98.2%
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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)))
82.0%
(fma.f32 u (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) n0_i)
98.8%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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)
81.9%
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
98.9%
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
98.8%
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
97.5%
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
75.7%
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
75.6%
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
75.9%
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
57.8%
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
98.4%
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
81.0%
(fma.f32 u n1_i n0_i)
41.6%
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
41.7%
(fma.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
82.0%
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
80.9%
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
96.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
33.3%
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
47.5%
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
48.1%
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
97.4%
(+.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.3%
(+.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 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.2%
(+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 #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))
96.4%
(+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
97.1%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
80.9%
(+.f32 (*.f32 n1_i u) n0_i)
78.0%
(*.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)))
40.3%
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
41.6%
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
80.8%
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
41.7%
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
41.1%
(*.f32 n1_i u)
57.7%
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
45.5%
n0_i
Compiler

Compiled 2 969 to 1 027 computations (65.4% saved)

regimes159.0ms (1.1%)

Memory
10.6MiB live, 246.2MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
(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)))
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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)) u n0_i)
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle 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 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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)
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (fma.f32 normAngle (/.f32 n1_i normAngle) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -2/15 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32)))) u n0_i)
(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
(fma.f32 (fma.f32 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) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_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 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.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 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 u 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))
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
(+.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) 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 #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))
(+.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))
(+.f32 (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)))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_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)
(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)))
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_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))
Outputs
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
Calls

5 calls:

45.0ms
normAngle
42.0ms
u
25.0ms
(+.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))
22.0ms
n0_i
22.0ms
n1_i
Results
AccuracySegmentsBranch
99.1%1normAngle
99.1%1u
99.1%1n0_i
99.1%1n1_i
99.1%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))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes316.0ms (2.1%)

Memory
-17.1MiB live, 159.2MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
(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)))
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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)) u n0_i)
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle 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 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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)
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (fma.f32 normAngle (/.f32 n1_i normAngle) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -2/15 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32)))) u n0_i)
(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))))
Outputs
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
Calls

5 calls:

148.0ms
n1_i
63.0ms
(+.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))
44.0ms
u
44.0ms
normAngle
16.0ms
n0_i
Results
AccuracySegmentsBranch
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))
98.9%1normAngle
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes151.0ms (1%)

Memory
-19.8MiB live, 135.1MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
(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)))
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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)) u n0_i)
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
Outputs
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
Calls

5 calls:

54.0ms
(+.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))
33.0ms
n0_i
29.0ms
n1_i
19.0ms
normAngle
14.0ms
u
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)

regimes120.0ms (0.8%)

Memory
-1.5MiB live, 114.3MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
(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)))
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
Outputs
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
Calls

5 calls:

37.0ms
normAngle
35.0ms
n0_i
21.0ms
n1_i
13.0ms
(+.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))
12.0ms
u
Results
AccuracySegmentsBranch
98.8%1normAngle
98.8%1u
98.8%1n0_i
98.8%1n1_i
98.8%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)

regimes115.0ms (0.8%)

Memory
35.9MiB live, 111.5MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
(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)))
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u))
Outputs
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
Calls

5 calls:

44.0ms
normAngle
34.0ms
n0_i
12.0ms
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))
12.0ms
u
Results
AccuracySegmentsBranch
98.8%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))
98.8%1normAngle
98.8%1u
98.8%1n0_i
98.8%1n1_i
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes97.0ms (0.6%)

Memory
13.4MiB live, 122.3MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
(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)))
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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)
Outputs
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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)
Calls

5 calls:

31.0ms
(+.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))
23.0ms
n0_i
19.0ms
u
11.0ms
n1_i
11.0ms
normAngle
Results
AccuracySegmentsBranch
98.8%1normAngle
98.8%1u
98.8%1n0_i
98.8%1n1_i
98.8%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)

regimes92.0ms (0.6%)

Memory
-11.5MiB live, 120.3MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
(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)))
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
Outputs
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
Calls

5 calls:

25.0ms
(+.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))
25.0ms
n0_i
11.0ms
n1_i
11.0ms
u
11.0ms
normAngle
Results
AccuracySegmentsBranch
98.7%1normAngle
98.7%1n0_i
98.7%1n1_i
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%1u
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes107.0ms (0.7%)

Memory
-15.7MiB live, 100.2MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
(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)))
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))))
Outputs
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
Calls

5 calls:

41.0ms
normAngle
30.0ms
n1_i
11.0ms
(+.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
n0_i
10.0ms
u
Results
AccuracySegmentsBranch
98.6%1normAngle
98.6%1u
98.6%1n0_i
98.6%1n1_i
98.6%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)

regimes86.0ms (0.6%)

Memory
1.6MiB live, 81.1MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i)
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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)))
Outputs
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u n0_i)
Calls

5 calls:

39.0ms
n1_i
18.0ms
u
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))
9.0ms
n0_i
9.0ms
normAngle
Results
AccuracySegmentsBranch
98.6%1normAngle
98.6%1u
98.6%1n0_i
98.6%1n1_i
98.6%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)

regimes80.0ms (0.5%)

Memory
0.7MiB live, 79.0MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u))
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u))
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
(fma.f32 u (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) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) 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:

28.0ms
n1_i
26.0ms
normAngle
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))
8.0ms
n0_i
8.0ms
u
Results
AccuracySegmentsBranch
98.3%1normAngle
98.3%1u
98.3%1n0_i
98.3%1n1_i
98.3%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)

regimes43.0ms (0.3%)

Memory
5.7MiB live, 46.4MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u))
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u))
Outputs
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
Calls

5 calls:

23.0ms
n1_i
5.0ms
(+.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))
5.0ms
u
5.0ms
n0_i
5.0ms
normAngle
Results
AccuracySegmentsBranch
97.5%1normAngle
97.5%1u
97.5%1n0_i
97.5%1n1_i
97.5%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)

regimes49.0ms (0.3%)

Memory
8.1MiB live, 47.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i)
Outputs
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
Calls

5 calls:

32.0ms
n0_i
4.0ms
(+.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))
4.0ms
n1_i
4.0ms
u
4.0ms
normAngle
Results
AccuracySegmentsBranch
97.3%1normAngle
97.3%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))
97.3%1u
97.3%1n0_i
97.3%1n1_i
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes23.0ms (0.2%)

Memory
-6.9MiB live, 31.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
Outputs
(fma.f32 u n1_i n0_i)
Calls

5 calls:

12.0ms
n1_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))
2.0ms
n0_i
2.0ms
normAngle
2.0ms
u
Results
AccuracySegmentsBranch
81.0%1normAngle
81.0%1u
81.0%1n0_i
81.0%1n1_i
81.0%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))
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes30.0ms (0.2%)

Memory
-13.8MiB live, 24.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
Outputs
n0_i
(*.f32 n1_i u)
n0_i
Calls

5 calls:

23.0ms
n0_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
n1_i
2.0ms
u
1.0ms
normAngle
Results
AccuracySegmentsBranch
53.1%2u
64.1%3n0_i
49.1%2(+.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))
45.5%1normAngle
58.4%3n1_i
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes6.0ms (0%)

Memory
17.2MiB live, 17.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
n0_i
Outputs
n0_i
Calls

4 calls:

1.0ms
(+.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))
1.0ms
u
1.0ms
n0_i
1.0ms
n1_i
Results
AccuracySegmentsBranch
45.5%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))
45.5%1u
45.5%1n1_i
45.5%1n0_i
Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
4.3645676490066564e-23
8.435778122200792e-23
0.0ms
-3.4054326487231073e-15
-3.2697265356281804e-15
Compiler

Compiled 32 to 24 computations (25% saved)

simplify41.0ms (0.3%)

Memory
0.9MiB live, 43.3MiB allocated
Algorithm
egg-herbie
Rules
146×unsub-neg_binary32
94×neg-mul-1_binary32
76×*-commutative_binary32
56×distribute-neg-out_binary32
38×neg-sub0_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103355
1144355
2178355
3218354
4253354
5276354
6288354
7360354
8438354
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle 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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u n1_i n0_i)
(if (<=.f32 n0_i #s(literal -8028023/2361183241434822606848 binary32)) n0_i (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) (*.f32 n1_i u) n0_i))
n0_i
Outputs
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle 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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32))) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (neg.f32 (*.f32 u (*.f32 normAngle normAngle))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)))) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 normAngle (neg.f32 normAngle)) (*.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 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (-.f32 (-.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 n1_i #s(literal -7/360 binary32))))) n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u n1_i n0_i)
(if (<=.f32 n0_i #s(literal -8028023/2361183241434822606848 binary32)) n0_i (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) (*.f32 n1_i u) n0_i))
(if (<=.f32 n0_i #s(literal -8028023/2361183241434822606848 binary32)) n0_i (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness1.3s (8.5%)

Memory
-20.7MiB live, 1 214.5MiB allocated
Rules
14 016×accelerator-lowering-fma.f32
14 016×accelerator-lowering-fma.f64
12 930×accelerator-lowering-fma.f32
12 930×accelerator-lowering-fma.f64
12 022×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080310688
1267810390
083459740
042212
1231212
21995208
08881197
08038652
126148188
083287814
07619911
127219445
277559424
085939016
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
Compiler

Compiled 593 to 284 computations (52.1% saved)

preprocess141.0ms (0.9%)

Memory
12.2MiB live, 339.2MiB allocated
Remove

(abs normAngle)

Compiler

Compiled 1 254 to 510 computations (59.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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